  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 W‫א‬‫א‬
 EF‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
0
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 ‫א‬ ،‫א‬‫א‬ ،‫א‬

‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬

 W،
‫א‬‫א‬،‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬  ‫א‬  ‫א‬
 K ‫א‬‫א‬‫א‬W‫א‬‫א‬
‫א‬     ‫א‬   ‫א‬ ‫א‬‫א‬  

،‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬،‫א‬
‫א‬،‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬
 ،‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬،‫א‬‫א‬ ‫א‬‫א‬
 K‫א‬
?   ?  J ‫א‬‫א‬ ‫א‬‫א‬‫א‬ ? ‫א‬ ‫א‬  

‫א‬     ‫א‬  ? ‫א‬ ‫א‬ 
 K‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬

 ،‫א‬ ‫א‬ ‫א‬‫א‬          ‫א‬ 
 ‫א‬   ‫א‬ ‫א‬   ،‫א‬   
 K‫א‬‫א‬
‫؛‬‫א‬‫א‬‫א‬‫א‬

 K‫א‬
‫א‬‫א‬‫א‬‫א‬
1
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬
 
‫א‬
‫א‬
١

 ٣
 
٤
‫א‬‫א‬‫א‬W‫א‬‫א‬
 ٢١
 ‫ א‬‫א‬‫א‬‫א‬W‫ א‬‫א‬
 ٣١
‫א‬‫א‬‫א‬‫א‬W‫ א‬‫א‬
 ٤٨
 ‫א‬‫א‬‫א‬‫א‬W‫א‬‫ א‬‫א‬
 ٦٠
 ‫א‬W‫ א‬‫א‬
 ٧٧
 ‫ א‬‫א‬‫א‬W‫ א‬‫א‬
 ٩٠
 ‫א‬
 ٩١
 ‫א‬
 ٩٢
‫א‬‫א‬
 
2

  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 K
‫א‬      ‫א‬‫א‬‫א‬    ‫א‬ ‫א‬  
،‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬K‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬K‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬K‫א‬‫א‬
  K ‫א‬      ‫א‬    ‫א‬ ‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬  ‫א‬  ‫א‬  ‫א‬ ‫א‬  ،  
 K‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬K??،??‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬K‫א‬‫א‬،‫א‬‫א‬
، ‫א‬،
 K‫א‬‫א‬
 W‫א‬‫א‬‫א‬٢٦‫א‬‫א‬‫א‬
  ‫א‬‫א‬‫א‬W‫א‬‫א‬
  ‫א‬‫א‬‫א‬W‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬W‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬W‫א‬‫א‬‫א‬
  ‫א‬W‫א‬‫א‬
 ‫א‬‫א‬W‫א‬‫א‬
 W‫א‬‫א‬‫א‬
،‫א‬‫א‬،‫א‬،‫א‬‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬
3
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
‫א‬‫א‬
 ‫א‬‫א‬‫א‬
 
 
 
 
4
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 EMeasurement of vibrations in the pumpsF
 
 W‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬
 W‫א‬‫א‬W‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬ K١
‫א‬‫א‬‫א‬‫א‬ K٢
   ‫א‬    ‫א‬ ‫א‬ ‫א‬   K٣
 ‫א‬‫א‬‫א‬
 
W‫א‬‫א‬
 ٨
 
 
 
 
 
 

5
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 

 
cavitation‫א‬  J
‫א‬     ‫א‬  ‫א‬ ‫א‬ ‫א‬  ‫א‬  ‫א‬
    ،‫א‬   ‫א‬‫א‬     ، ‫א‬
  ،  ‫א‬‫א‬ ‫א‬ ‫א‬     ‫א‬  ‫א‬‫א‬
  ‫א‬  ، ‫א‬   ‫א‬    ‫א‬  ‫א‬
‫א‬ ‫א‬‫א‬‫א‬‫א‬‫א‬
 K‫א‬‫א‬
‫א‬KEcavitationF‫א‬ ‫א‬‫א‬‫א‬‫א‬
     K‫א‬    ،‫א‬ ‫א‬  ‫א‬ 
 K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬     ‫א‬‫א‬  ‫א‬  ‫א‬   ‫א‬
‫א‬ W  ‫א‬   K    ‫א‬
  ‫א‬ ‫א‬  ،‫א‬ ‫א‬ . ‫א‬ ‫א‬  ‫א‬
  K
W‫א‬‫א‬‫א‬‫א‬‫א‬ ™
mm/s ‫א‬  J
1g=9.80665m/s²EgFEm/s²F‫א‬  J
µm‫א‬‫א‬ J
W‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ™
W(frequencyF‫ א‬ J
‫א‬‫ א‬،‫א‬‫א‬‫א‬
K‫א‬‫א‬‫א‬،E‫א‬FHz ‫א‬‫א‬
RPM (Revolutions Per ‫א‬  ?    ‫א‬‫א‬ ‫א‬ 
 ٦٠‫א‬Hz‫א‬‫א‬‫א‬K‫א‬Minute)
6
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 :(AmplitudeF‫ א‬ J
‫א‬  K     ‫א‬L ‫א‬L ‫א‬‫א‬   ‫א‬‫א‬‫א‬ 
‫א‬   ‫א‬‫א‬   ‫א‬  ‫א‬ ‫א‬  ‫א‬  ‫א‬
 K‫א‬،‫א‬‫א‬‫א‬‫א‬‫א‬
 EpeakF‫א‬‫א‬‫א‬‫א‬‫ א‬ J
(peak to peakF،‫א‬‫א‬،‫א‬‫ א‬ J
RMS(Root Mean Square) ‫א‬‫ א‬ J
 Peak‫א‬‫א‬ RMS‫א‬‫א‬E١ J١‫א‬F
 
 
 ‫א‬‫א‬‫א‬‫א‬W١ J١‫א‬
 
 
 
 
 
 
 
 
7
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 EMeasuring vibrations in the pumpF
 
 EThe objectives of the experimentF‫א‬‫א‬ J١
 W‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬  J
‫א‬‫א‬‫א‬‫א‬  J
(ISO 2372 (10816))‫א‬‫א‬‫א‬‫א‬‫א‬‫ א‬ J
 (description of the experimentF‫א‬ J٢
 ‫א‬  ،‫א‬  ‫א‬  ‫א‬ ‫א‬  ‫א‬ ‫א‬
 E٢ J١‫א‬F. 
 
 
 WE٢ J١F
، ‫א‬ ‫א‬  J
 ،‫א‬‫א‬‫א‬‫א‬. ‫א‬‫א‬‫א‬
K‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ‫א‬‫א‬   J
K‫א‬
8
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
،‫א‬‫א‬‫א‬‫א‬‫א‬  J
 
. ‫א‬‫א‬
‫א‬‫א‬. ‫א‬‫א‬‫א‬‫א‬‫א‬  J
 ‫א‬ ‫א‬‫א‬
K‫א‬
 W‫א‬
‫א‬ ™
‫א‬ ™
‫א‬‫א‬ ™
‫א‬ ‫א‬   ‫א‬  ‫א‬   ‫א‬   J
K‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬. ‫א‬  J
 K‫א‬
 ‫א‬ ‫א‬‫א‬‫א‬  ‫א‬ ‫א‬ ‫א‬   J
 KE‫א‬F‫א‬
 
‫א‬‫א‬‫א‬‫א‬‫א‬
(ISO 2372 (10816))‫א‬‫א‬‫א‬
E،،F
 
 
 
 
 
 
 
9
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 WE٣ J١‫א‬F‫א‬‫א‬‫א‬‫א‬‫א‬
 E‫א‬F‫א‬  J
Fluke FVibration TesterE‫א‬‫א‬،‫א‬‫א‬F‫א‬‫א‬‫א‬  J
 E810
 
 
 
F‫א‬
 E
 
 
 
 
 
Fluke 810 Vibration F‫א‬‫א‬‫א‬
 ETester
 
 
 
 
 
 ‫א‬‫א‬‫א‬
 
 
 ‫א‬‫א‬‫א‬‫א‬WE٣ J١F
 
 
 
 
10
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬E٤ J١‫א‬F
 ‫א‬  1
 ‫א‬  2
 
 ‫א‬‫א‬  3
   4
 ‫א‬  5
 ‫א‬  6
 ‫א‬  7

 ‫א‬W٤ J١‫א‬
E steps of the experimentFW‫א‬‫א‬ J٤
‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 K‫א‬
‫א‬‫א‬‫א‬  J
E٥ J١‫א‬F‫א‬‫א‬
 W‫א‬‫א‬‫א‬
 
*International Standards Organisation (ISO), (ISO 10816 standard)
*Hydraulic Institute (HI), (ANSI/HI9.6.4 standard)
*American Petroleum Institute (API),(API 610 standard)
 
 
 
 
 
11
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 ‫א‬‫א‬
 
 
 
 
 
‫א‬‫א‬‫א‬

 
 ‫א‬‫א‬WE٥ J١F
 
 K‫א‬٣٦٠٠‫א‬‫א‬  J
E20KHz  10KHz،5KHzF ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬  J
‫א‬
‫א‬‫א‬‫א‬‫א‬  J
 
 
 
12
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
E Results of the experimentFW‫א‬ J٥
 W
, (Peak)‫א‬‫א‬ERMS)‫א‬  J
‫א‬‫א‬‫א‬
‫א‬‫א‬E١ J١‫א‬F  J
20KHz
Peak RMS
10KHz
Peak RMS
5KHz

Peak RMS ‫א‬
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 aEm/s²F‫א‬
 
vEmm/sF‫א‬
 
 dEµmF‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W١ J١‫א‬
EAnalysis of results and conclusionsF‫א‬‫א‬ J٦
 W‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ISO 2372 (10816)
 
‫א‬(ISO 2372 (10816))‫א‬‫א‬‫א‬ J
 KHz101‫א‬‫א‬‫א‬‫א‬٢ J١‫א‬
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13
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 ‫א‬‫א‬‫א‬‫א‬W٢ J١‫א‬
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5‫א‬RMS‫א‬‫א‬‫א‬W
 KHz10
 ‫א‬‫א‬‫א‬‫א‬E٣ J١‫א‬F‫א‬‫א‬ J
 ‫א‬‫א‬‫א‬‫א‬W
 ‫א‬‫א‬
RMS(mm/s)
 
 ٢{٨٠
‫א‬
 ١
 
 ٠{٤٥
 ٢
 
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٣
 ‫א‬ERMSF‫א‬‫א‬W٣ J١‫א‬
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14
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
(Identify the causes of vibrations in the pump, using Crest factor)
 EObjectives of the experimentF‫א‬‫א‬ J١
 W‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬  J
‫א‬‫א‬‫א‬‫א‬  J
‫א‬‫א‬  J
(description of the experimentF‫א‬
J٢
     ‫א‬‫א‬‫א‬   ‫א‬    ‫א‬ 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 K‫א‬‫א‬
     ‫א‬   ‫א‬  ‫א‬  
 ‫א‬‫א‬‫א‬‫א‬
 W(Crest factor)
 ‫א‬  ‫א‬ ‫א‬  ‫א‬      
    E ‫א‬ ، ‫א‬F   ‫א‬‫א‬ ‫א‬‫א‬  ‫א‬ 
  ‫א‬   ‫א‬    ‫א‬ ‫א‬  
 EFEF
‫א‬ ‫א‬K‫א‬،
 ‫א‬‫א‬
 Crest Factor=Peak/RMS
‫א‬ RMS ‫א‬
 ‫א‬٣ J١‫א‬
 
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15
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 ‫א‬crest factorRMSW٤ J١‫א‬
 
 
 
 
 
 
 
 
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16
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 WE٦ J١‫א‬F‫א‬‫א‬‫א‬‫א‬‫א‬
 E‫א‬F‫א‬  J
Fluke FVibration TesterE‫א‬‫א‬،‫א‬‫א‬F‫א‬‫א‬‫א‬  J
 E810
 
 
 
F‫א‬
 E
 
 
 
 
 
Fluke 810 Vibration F‫א‬‫א‬‫א‬
 ETester
 
 
 
 
 
 ‫א‬
 
 
 ‫א‬‫א‬‫א‬‫א‬WE٦ J١F
 
 
 
 
17
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
E steps of the experimentFW‫א‬‫א‬ J٤
K‫א‬٣٦٠٠‫א‬‫א‬،  J
‫א‬F‫א‬‫א‬‫א‬،  J
 E٧ J١‫א‬FE‫א‬
 
‫א‬W٧ J١‫א‬
‫א‬‫א‬‫א‬،‫א‬‫א‬‫א‬‫א‬  J
‫א‬‫א‬‫א‬‫א‬K‫א‬
‫א‬E20KHzF‫א‬  J
E Results of the experimentFW‫א‬ J٥
EPeakF‫א‬‫א‬ERMSF‫א‬‫א‬E٥ J١‫א‬F
 20 KHz
(RMSF‫א‬‫א‬ J
 ‫א‬‫א‬‫א‬‫א‬EPeakF‫א‬‫א‬
 
 
 aEm/s²F‫א‬
20KHz
RMS
peak
 
 
 
 
‫א‬
 
1
 
 
 
2
 
 
 
3
 ‫א‬W٥ J١‫א‬
18
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 EAnalysis of results and conclusionsF‫א‬‫א‬ J٦
E٦ J١‫א‬F‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
‫א‬‫ א‬
 ‫א‬‫א‬ J
 
 J
 
 J
 ‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬

 ‫א‬‫א‬ J  ٢{٥١{٥
 
 ‫א‬
 
 ‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 ٤٣
 

 
‫א‬‫א‬‫א‬‫א‬‫א‬
 

 ‫א‬‫א‬‫א‬‫א‬W٦ J١‫א‬
 
 ٤
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬٧ J١‫א‬
‫א‬‫א‬‫א‬
 
  ‫א‬
1
 
 
 
2
 
 
3
 ‫א‬‫א‬‫א‬W٧ J١‫א‬
 
‫א‬E٨ J١‫א‬F‫א‬‫א‬‫א‬‫ א‬ J
 ‫א‬‫א‬‫א‬،‫א‬
RMS
 
 ‫א‬
 
(٦>)
 
 
(٦<F
 
 
 (٦>)
 
 
 (٦<F
 ‫א‬‫א‬
 W٨ J١‫א‬
19
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
‫א‬‫א‬E٨ J١‫א‬F‫א‬‫א‬  J
 ‫א‬‫א‬
 
 ‫א‬‫א‬W٨ J١‫א‬
 
 
 
 
20

  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
21
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 EMeasurement of vibration in the steam turbinesF
 
 W‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 W‫א‬‫א‬W‫א‬‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫ א‬K١
 ‫א‬‫א‬‫א‬    ‫א‬‫א‬‫א‬  ‫א‬ ‫א‬  ‫ א‬K٢
‫א‬
‫א‬‫א‬‫א‬‫א‬ K٣
 
 
W‫א‬‫א‬
 ٨
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
22
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 EMeasurement of vibration in the steam turbineF
EThe objectives of the experimentF‫א‬‫א‬ J١
 W‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬  J
‫א‬‫א‬‫א‬‫א‬‫א‬  J
 ‫א‬‫א‬‫א‬  J
 (description of the experimentF‫א‬ J٢
   ‫א‬      ‫א‬‫א‬‫א‬   ‫א‬ 
‫א‬‫א‬‫א‬‫א‬ ١ J٢
 K‫א‬‫א‬‫א‬
‫א‬?‫א‬‫א‬‫א‬‫?א‬‫א‬‫א‬‫א‬
 ‫א‬،‫א‬‫א‬‫א‬‫א‬

 
 ‫א‬W١ J٢‫א‬
 
 
 
23
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 W٢ J٢‫א‬‫א‬‫א‬‫א‬
  EF‫א‬ •
 EFluke 810 Vibration TesterFE‫א‬‫א‬،‫א‬‫א‬F •
 
 
 
 
 


 
 
 
 
 

Fluke F‫א‬‫א‬‫א‬
810 Vibration
 ETester
 
 
 ‫א‬‫א‬‫א‬‫א‬WE٢ J٢F
E Results of the experimentFW‫א‬‫א‬ J٤
‫א‬‫א‬‫א‬‫א‬  J
٣ J٢‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 ‫א‬‫א‬WE٣ J٢F
24
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
،F‫א‬‫א‬‫א‬‫א‬  J
 E
‫א‬  J
E20KHz ‫ و‬10KHz،5KHzF‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬  J
E١ J٢‫א‬F‫א‬
 W
 , (Peak) ‫א‬‫א‬ERMS) ‫א‬
 
‫א‬‫א‬‫א‬
 
 E Results of the experimentFW‫א‬ J٥
20KHz
Peak RMS
10KHz
Peak RMS
 
5KHz

Peak RMS ‫א‬

 
 
 
 


1

 
 
 
 


2
 aEm/s²F‫א‬
 
 
 
 


3
 
 
 
 


1

 
 
 
 


2
vEmm/sF‫א‬
 
 
 
 


3
 
 
 
 


1

 
 
 
 


2
 dEµmF‫א‬‫א‬
 
 
 
 


3
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W١ J٢‫א‬
 
 
 
25
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 EAnalysis of results and conclusionsF‫א‬‫א‬ J٦
 W‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ISO 2372 (10816)
 
‫א‬(ISO 2372 (10816))‫א‬‫א‬‫א‬ J
 KHz101‫א‬‫א‬‫א‬‫א‬٢ J٢‫א‬
 
 ‫א‬‫א‬‫א‬‫א‬W٢ J٢‫א‬
5‫א‬RMS‫א‬‫א‬‫א‬W
 KHz10
 ‫א‬‫א‬‫א‬‫א‬E٣ J٢‫א‬F‫א‬‫א‬ J
 ‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
 
 
 
RMS(mm/s)
 ٠{٢٨
‫א‬
 ١
 ١{١٢
 ٢
 ١١{٢
٣
 ‫א‬ERMSF‫א‬‫א‬W٣ J٢‫א‬
26
 
 
 
 
 
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
  surveillance the status of
the Bearing using the bearing vibration severity chart
 
EThe objectives of the experimentF‫א‬‫א‬ J١
 W‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬  J
‫א‬‫א‬‫א‬‫א‬‫א‬  J
 ‫א‬‫א‬‫א‬  J
 (description of the experimentF‫א‬ J٢
     ‫א‬‫א‬‫א‬    ‫א‬  ‫א‬   J
       ٤ J٢   ‫א‬
‫א‬‫א‬‫א‬  ‫א‬ ‫א‬  
K‫א‬‫א‬‫א‬‫א‬‫א‬
 
 ٤ J٢‫א‬
 
 
27
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 W٥ J٢‫א‬‫א‬‫א‬‫א‬
  EF‫א‬ •
 EFluke 810 Vibration TesterFE‫א‬‫א‬،‫א‬‫א‬F •
 
 
 
 
 


 
 
 
 
 

Fluke F‫א‬‫א‬‫א‬
810 Vibration
 ETester
 
 
 ‫א‬‫א‬‫א‬‫א‬WE٥ J٢F
E steps of the experimentFW‫א‬‫א‬ J٤
‫א‬‫א‬‫א‬‫א‬  J
٦ J٢‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
 
 ‫א‬‫א‬WE٦ J٢F
28
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
،F‫א‬‫א‬‫א‬‫א‬  J
 E
‫א‬  J
‫א‬E20KHz ‫ و‬10KHz،5KHzF‫א‬‫א‬‫א‬‫א‬  J
E٤ J٢‫א‬F
Ebearing vibration severity chartF ‫א‬ ‫א‬‫א‬‫א‬    ‫א‬‫א‬ J
 ‫א‬
 W
, (Peak) ‫א‬‫א‬ERMS) ‫א‬
 ‫א‬‫א‬‫א‬
 
E Results of the experimentFW‫א‬ J٥
20KHz
Peak RMS
10KHz
Peak RMS
5KHz

Peak RMS ‫א‬

 
 
 
 


1

 
 
 
 


2
 aEm/s²F‫א‬
 
 
 
 


3
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W٤ J٢‫א‬
 
 EAnalysis of results and conclusionsF‫א‬‫א‬ J٦
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬٥ J٢
‫א‬‫א‬  10 KHz  Hz 10000 10Hz ‫א‬‫א‬
EPeakF‫א‬‫א‬ RMS ‫א‬‫א‬‫א‬
 E10KHz5KHzF
 
 
29
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 Ebearing vibration severity chart)‫א‬‫א‬‫א‬W٥ J٢‫א‬
 
‫א‬‫א‬‫א‬‫א‬E٦ J٢‫א‬F
 ‫א‬‫א‬
 
 ‫א‬‫א‬
20log(peak / 10 ⁻ ⁶) 20log(RMS / 10 ⁻ ⁶) 
 
 ١٤٠
 ١٤٥
 ١
 ‫א‬
 ١٦٥
 ١٥٥
 ٢
 
 ١٥٠
 ١٣٠
 ٣
 ‫א‬‫א‬‫א‬W٦ J٢
 
 
 
 
30
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
31
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 EMeasurement of vibration in fansF
 
 W‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 
 W‫א‬‫א‬W‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫ א‬K١
 
‫א‬‫א‬‫א‬‫א‬‫א‬ K٢
‫א‬‫א‬‫א‬‫א‬‫א‬ K٣
 
 
 
32
W‫א‬‫א‬
 ٨
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬
 EMeasurement of global vibration in fansF
 EThe objectives of the experimentFW‫א‬‫א‬
 W‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬  J
‫א‬‫א‬‫א‬‫א‬‫א‬  J
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬  J
 (description of the experimentF‫א‬ J٢
‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬،‫א‬‫א‬‫א‬‫א‬
‫א‬K‫א‬‫א‬
 K‫א‬
 
 EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 WE١ J٣‫א‬F‫א‬‫א‬‫א‬‫א‬
 E‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬F‫א‬ •
E‫א‬‫א‬،‫א‬‫א‬FEFluke 810 Vibration TesterF‫א‬‫א‬‫א‬ •
 ‫א‬‫א‬،‫א‬ •
 
 
 
 
33
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 



‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬
 
 
 



Fluke 810 F‫א‬‫א‬‫א‬
EVibration Tester
 
 
 
 
 

 

 ‫א‬‫א‬‫א‬WE١ J٣F
 
 
 
 
 
34
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬٢ J٣‫א‬
 
 
 ‫א‬  1
  2
 ‫א‬‫א‬
 ‫א‬  3
 ‫א‬  4
 ‫א‬  5
 ‫א‬‫א‬‫א‬  6
   7

 
 ‫א‬
8
9
 ‫א‬ 10
 ‫א‬‫א‬‫א‬W٢ J٣‫א‬
E steps of the experimentFW‫א‬‫א‬ J٤
‫א‬‫א‬‫א‬‫א‬  J
٢ J٣
 ‫א‬‫א‬WE٣ J٣F
J
 
 
 
35
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬  ‫א‬‫א‬  ‫א‬ ‫א‬  ‫א‬     J
E٤ J٣‫א‬FE،F
 
 
 ‫א‬‫א‬WE٤ J٣F
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ J
 ‫א‬
E20KHz10KHz،5KHzF‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬  J
E١ J٣‫א‬F‫א‬
 
 
 
 
 
 
 
 
 
36
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 E Results of the experimentFW‫א‬ J٥
20KHz
Peak RMS
10KHz
Peak RMS
5KHz

Peak RMS ‫א‬
 
 
 
 
 
 
1
 
 
 
 
 
 
2
 
 
 
 
 
 
3
 
 
 
 
 
 
1
 
 
 
 
 
 
2
 
 
 
 
 
 
3
 
 
 
 
 
 
1
 
 
 
 
 
 
2
 
 
 
 
 
 
3
 
 
 aEm/s²F‫א‬
 
vEmm/sF‫א‬
 
 dEµmF‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W١ J٣‫א‬
 
 EAnalysis of results and conclusionsF‫א‬‫א‬ J٦
 W‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ISO 2372 (10816)
 
 
‫א‬(ISO 2372 (10816))‫א‬‫א‬‫א‬ J
 KHz101‫א‬‫א‬‫א‬‫א‬٢ J٣‫א‬
 
 
 
 
37
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 ‫א‬‫א‬‫א‬‫א‬W٢ J٣‫א‬
5‫א‬RMS‫א‬‫א‬‫א‬W
 KHz10
 ‫א‬‫א‬‫א‬‫א‬E٣ J٣‫א‬F‫א‬‫א‬ J
 ‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
RMS(mm/s)
 
 
 
 ٤{٥
‫א‬
 ١
 ٧{١٠
 ٢
 ١١{٢
٣
 ‫א‬ERMSF‫א‬‫א‬W٣ J٣‫א‬
 
 
 
 
 
 
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬٤ J٣
 ‫א‬‫א‬10 KHz Hz1000010Hz ‫א‬‫א‬
 
38
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
،EPeakF‫א‬‫א‬RMS ‫א‬‫א‬‫א‬‫א‬
 E10KHz5KHzF
 
 
  (bearing vibration severity chartF‫א‬‫א‬‫א‬‫א‬W٤ J٣‫א‬
 
‫א‬‫א‬‫א‬‫א‬٥ J٣‫א‬ J
 ‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
20log(peak / 10 ⁻ ⁶) 20log(RMS / 10 ⁻ ⁶) 
 
 ١٤٠
 ١٤٥
 ١
 ‫א‬
 ١٦٥
 ١٥٥
 ٢
 
 ١٥٠
 ١٣٠
 ٣
 ‫א‬‫א‬‫א‬W٥ J٣‫א‬
 
 
39
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬
 (Spectral analysis of the vibration on the fansF
 EThe objectives of the experimentFW‫א‬‫א‬ J١
 W‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬  J
‫א‬  J
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬  J
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬  J
(description of the experimentF‫א‬
J٢
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬K‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 K‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬E٥ J٣‫א‬F‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬
 
 
 ‫א‬‫א‬WE٥ J٣‫א‬F
40
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬ ‫א‬   EF     ‫א‬   
 KEAmplitudeF‫א‬‫א‬‫א‬EFrequencyF‫א‬
‫א‬‫א‬‫א‬
 KEPeakFEF
 
 EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 WE٦ J٣‫א‬F‫א‬‫א‬‫א‬‫א‬
 E‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬F‫א‬ •
E‫א‬‫א‬،‫א‬‫א‬FEFluke 810 Vibration TesterF‫א‬‫א‬‫א‬ •
 ‫א‬‫א‬،‫א‬ •
 



‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬
 
 
 



Fluke 810 F‫א‬‫א‬‫א‬
EVibration Tester
 ‫א‬‫א‬‫א‬WE٦ J٣F
41
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬٧ J٣‫א‬
 
 
 ‫א‬  1
  2
 ‫א‬‫א‬
 ‫א‬  3
 ‫א‬  4
 ‫א‬  5
 ‫א‬‫א‬‫א‬  6
   7

 
 ‫א‬
8
9
 ‫א‬ 10
 ‫א‬‫א‬‫א‬W٧ J٣‫א‬
E steps of the experimentFW‫א‬‫א‬ J٤
‫א‬‫א‬‫א‬‫א‬  J
٨ J٣
 ‫א‬‫א‬WE٨ J٣F
 
 
 
 
42
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬  ‫א‬‫א‬  ‫א‬ ‫א‬  ‫א‬     J
 E٩ J٣‫א‬FE،F
 
 ‫א‬‫א‬WE٩ J٣F
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ J
‫א‬
‫א‬‫א‬‫א‬‫א‬  J
 ‫א‬‫א‬‫א‬‫א‬‫ א‬ J
 W‫א‬ J٥
‫א‬‫א‬‫א‬‫א‬‫א‬١٠ J٣‫א‬ J
 W
 
 ‫א‬‫א‬‫א‬W١٠ J٣‫א‬
43
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬١١ J٣‫א‬  J
 K‫א‬
 
 ‫א‬‫א‬‫א‬‫א‬W١١ J٣‫א‬
‫א‬E١٢ J٣‫א‬F‫א‬‫א‬  J
 ‫א‬‫א‬‫א‬‫א‬W١٢ J٣‫א‬
44
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 EAnalysis of results and conclusionsF‫א‬‫א‬ J٦
 W‫א‬ J
‫א‬‫א‬‫א‬‫א‬WE١٣ J٣‫א‬F‫א‬‫א‬
 ‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬W١٣ J٣‫א‬
‫א‬‫א‬‫א‬‫א‬WE١٤ J٣‫א‬F‫א‬‫א‬
 
 
 ‫א‬‫א‬‫א‬W١٤ J٣‫א‬
 
‫א‬‫א‬WE١٥ J٣‫א‬F‫א‬‫א‬
 ‫א‬‫א‬‫א‬
 
 ‫א‬W١٥ J٣‫א‬
45
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬١٦ J٣‫א‬‫א‬‫א‬ J
 
 ‫א‬W١٦ J٣‫א‬
1.323mg  ‫א‬ ‫א‬  E    F  ‫א‬  ‫א‬ J
 K16.25 Hz 
  ‫א‬   WE    F  ‫א‬  ‫א‬  J
 K16.25 Hz14.199 mg
‫א‬   ‫א‬          ‫א‬ ‫א‬  J
 E،،F‫א‬
 W‫א‬‫א‬‫א‬
 ‫א‬  ‫א‬ ‫א‬    ‫א‬    •
K
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ •
K‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬ ‫א‬‫א‬ J
 K‫א‬‫א‬‫א‬
 
46
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬ ٧   E١٧ J٣‫א‬F ‫א‬‫א‬  J
 210Hz ‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬W١٧ J٣‫א‬
 
 
 
 
 
 
 
 
 
47
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬‫א‬ 
 
 
 
 
 
 
 
 
 
 
 
48
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬
 Ebalancing of rotary machinery F
 
 W‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 
 W‫א‬‫א‬W‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫ א‬K١
‫א‬‫א‬‫א‬‫א‬‫א‬ K٢
‫א‬‫א‬‫א‬‫א‬ K٣
 
 
W‫א‬‫א‬
 ٨
 
 
 
 
 

 

49
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 Ebalancing of rotary machinery F
  The objectives of the experiment W‫א‬‫א‬ J١
 W‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫ א‬ J
‫א‬‫א‬‫א‬‫א‬‫א‬  J
‫א‬‫א‬‫א‬‫א‬  J
 
 (description of the experimentF‫א‬ J٢
‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 ١ J٤E‫א‬F‫א‬‫א‬
 ‫א‬‫א‬‫א‬
 
 
 ‫א‬‫א‬W١ J٤‫א‬
 r ‫א‬‫א‬‫א‬‫א‬‫א‬
 WEcentrifugal forceF(ω rad/sF
 F= M ω²r
50
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 K‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬١ J٤‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 
‫א‬
 
 
L/d
 ‫א‬
 
L١٠٠٠ L١٠٠٠ 

‫א‬‫א‬
 
 ٢
 
L١٥٠
 ٢

 ١
L١٥٠
 ١
 ٠{٥
 

٠{٥
‫א‬
 ‫א‬‫א‬‫א‬W١ J٤‫א‬
 
 
 
 
 
 
 
 
 
 
 
 
51


  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
EEquipment and instrumentsFW‫א‬‫א‬‫א‬‫א‬ J٣
 WE٢ J٤‫א‬F‫א‬‫א‬‫א‬‫א‬
E‫א‬F‫א‬ •
‫א‬ •
 ( Vibration and phase meter )‫א‬‫א‬‫א‬‫א‬ •

 
 
 
 ‫א‬
 
 


 
 
 
 ‫א‬‫א‬
 
 
 
 


‫א‬‫א‬‫א‬‫א‬
 Vibration and phase meter
 
 
 
 
 ‫א‬‫א‬‫א‬‫א‬WE٢ J٤F
52
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ٣ J٤‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 
  1
 2
 ‫א‬‫א‬ 3
  4
 ‫א‬ 5
 
 
  6
  7
 ‫א‬‫א‬‫א‬W٣ J٤‫א‬
 E steps of the experimentFW‫א‬‫א‬ J٤
 W ™
 ‫א‬‫א‬ -
 ‫א‬‫א‬‫א‬، Ephase meterF ‫א‬‫א‬ Evibration meterF‫א‬‫א‬    E٤ J٤‫א‬F
 
 
 ‫א‬W٤ J٤‫א‬K
 W
vibration F  ‫א‬   ‫א‬  ‫א‬   ‫א‬  
 E٥ J٤‫א‬FEphase meterFEmeter
53
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 W ™
 ‫א‬‫א‬‫א‬ -
‫א‬‫א‬‫א‬Eplane 1)‫א‬‫א‬‫א‬‫א‬‫א‬ E٢ J٤‫א‬F
 E٢ J٤‫א‬F‫א‬‫א‬‫א‬Eplane2F‫א‬‫א‬‫א‬  ‫א‬‫א‬‫א‬ -
 
 ‫א‬‫א‬‫א‬W٥ J٤‫א‬
٢ ‫اﻟﻤﺴﺘﻮى‬
 
١ ‫اﻟﻤﺴﺘﻮى‬
٠.٧٠٠
٠.٥٠٠
١٨٠
٩٠
 
 EamplitudeF‫א‬
 EphaseF‫א‬‫א‬
 ?٢?‫א‬?١?‫א‬‫א‬‫א‬‫א‬W٢ J٤‫א‬
 
 
 
 
 
54
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 W ™
‫א‬   Plane1 ‫א‬ ‫א‬  EM1 F     E٦ J٤‫א‬F
‫א‬‫א‬‫א‬ -
 ‫א‬‫א‬‫א‬    Plane1 ‫א‬    ‫א‬‫א‬ ‫א‬ ‫א‬  E٣ J٤‫א‬F
EM1F‫א‬‫א‬‫א‬‫א‬‫א‬ -
 
 ‫א‬‫א‬W٦ J٤‫א‬
 W‫א‬ ™
‫א‬Plane2‫א‬‫א‬EM2F E٧ J٤‫א‬F‫א‬‫א‬‫א‬ -
‫א‬‫א‬‫א‬Plane2‫א‬‫א‬‫א‬‫א‬‫א‬  E٣ J٤‫א‬F
EM2F‫א‬‫א‬‫א‬‫א‬‫א‬ -
 
 ‫א‬‫א‬W٧ J٤‫א‬
55
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
E Results of the experimentFW‫א‬ J٥
 (velocityF‫א‬WEamplitudeF‫א‬W
Plane2
Plane1
 
KKKKKKKKKKKKKKKKKKKK=Emm/sFA20 KKKKKKKKKKKKKKKKKKKK=Emm/sFA10
 KKKKKKKKKKKKKKKKKKKKK=E°Fθ20
‫א‬
 Emm/sF
 KKKKKKKKKKKKKKKKKKKKK=E°Fθ10
‫א‬‫א‬
  KKKKKKKKKKKKKKKKKKKK=Emm/sFA1 M1‫א‬
Plane1‫א‬
 
 KKKKKKKKKKKKKKKKK=E°Fθ1
KKKKKKKKKKKKKKKKKKKKKKK=(mm/s)A2
‫א‬‫א‬
 Plane1‫א‬M1
  M2‫א‬
Plane2‫א‬
 KKKKKKKKKKKKKKKKKKKKKK=E°Fθ2
 
‫א‬‫א‬
Plane2‫א‬M2
 ‫א‬W٣ J٤‫א‬
 
 EAnalysis of results and conclusionsFW‫א‬‫א‬ J٦
‫א‬‫א‬‫א‬‫א‬‫ א‬EPlane2,Plane1 F‫א‬‫א‬ (MC2،MC1F‫א‬
 (MC2،MC1FF‫א‬‫א‬EθC2،θC1F‫א‬‫א‬
 
 
 
 
 
 
56
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬٨ J٤‫א‬ J
 
 
 
 ‫א‬W٨ J٤‫א‬
 
 ٤ J٤‫א‬‫א‬‫א‬‫א‬٩ J٤‫א‬
 
‫א‬‫א‬W٩ J٤‫א‬
57
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
 
 
 0.239
 300.5
‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
0.151
 
 EgFMC1
3.2
(°FθC1
 
 EgFMC2
 
(°FθC2
 ‫א‬‫א‬W٤ J٤‫א‬
 W‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
  ‫א‬ ‫א‬‫א‬  ‫א‬     ‫א‬   ١٠ J٤
 
 ‫א‬W١٠ J٤‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬ E0°F
 K١١ J٤
 
 ‫א‬‫א‬‫א‬‫א‬W١١ J٤‫א‬
58
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 W
 W‫א‬‫א‬
‫א‬‫א‬‫• א‬
 ‫א‬‫א‬‫א‬
‫א‬‫א‬‫• א‬
 ‫א‬‫א‬‫א‬
 W‫א‬E١٢ J٤‫א‬F‫א‬‫א‬‫א‬‫א‬
 
 
 
 ‫א‬‫א‬‫א‬‫א‬‫א‬W١٢ J٤‫א‬
 
 
 
 
 
 
 
 
 
 
 
59
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
 
 
‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬

 
 
 
 
 
 
 
 
 
 
 
 
 
 
60
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 Ebalancing of reciprocating machinesF
 
 W‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 W‫א‬‫א‬W‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬ K١
‫א‬‫א‬‫א‬‫א‬ K٢
‫א‬‫א‬‫א‬ K٣
 
 
W‫א‬‫א‬
 ١٢
 
 
 
 
 
 
 
 
 
 
61
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 W
‫א‬‫א‬E١ J٥F‫א‬‫א‬
 K‫א‬‫א‬‫א‬
 
 WE١ J٥F
‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬       ‫א‬ ‫א‬ ‫א‬  
 ‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬ ‫א‬   ‫א‬   ‫א‬‫א‬    ‫א‬ 
 ٢ J٥
 
 ‫א‬‫א‬‫א‬W٢ J٥‫א‬
 
 
 
 
 
 
62
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 E٣ J٥‫א‬F‫א‬EθF‫א‬‫א‬‫א‬ J
 
 
 ‫א‬‫א‬‫א‬‫א‬W٣ J٥‫א‬
 
 ‫א‬ J
 
 n=L/R
 ‫א‬‫א‬ J
‫א‬inertia force EFF‫א‬‫א‬‫א‬‫א‬‫א‬
 WEF=M. aF‫א‬‫א‬‫א‬‫א‬‫א‬
 
 W‫א‬
 E٤ J٥‫א‬F‫א‬‫א‬‫א‬WFp
 
 
 
 ‫א‬‫א‬‫א‬W٤ J٥‫א‬
 180°0 °= θ‫א‬‫א‬Fp 
63
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬

 E٥ J٥‫א‬F‫א‬‫א‬‫א‬WFs
 
 
 
 
 
 ‫א‬‫א‬‫א‬W٥ J٥‫א‬
 
  360° 180°90°0 ° Zθ‫א‬‫א‬Fs 
 
 ‫א‬‫א‬
‫א‬‫א‬X ‫א‬
 ‫א‬‫א‬
 
‫א‬‫א‬‫א‬E٦ J٥‫א‬F‫א‬
KKKKKKKx2,x1‫א‬Ereference planeF‫א‬
 ‫א‬‫א‬
 
 
 
64
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 W٦ J٥‫א‬
 W‫א‬‫א‬
 
 
 W
 W‫א‬‫א‬
 
 
 W‫א‬‫א‬
 
 
 
 
 
 
 
 
65
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 ،‫א‬
Determination of primary and secondary forces of inertia and moments for
various reciprocating engine configuration( engine one, two or four cylinders)
EThe objectives of the experimentF‫א‬‫א‬ J١
 W‫א‬‫א‬‫א‬‫א‬
،‫א‬F‫א‬‫א‬‫א‬‫א‬‫א‬ K١
E،
،‫א‬F‫א‬‫א‬‫א‬‫א‬‫א‬ K٢
E،
‫א‬‫א‬‫א‬‫א‬ K٣
‫א‬‫א‬
 (description of the experimentF‫א‬ J٢
‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬
K
 
 
 
 
 
 
 
 
66
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 W٧ J٥‫א‬‫א‬‫א‬‫א‬‫א‬
 EF‫א‬ •
‫א‬

 ‫א‬‫א‬‫א‬WE٧ J٥F
 
E steps of the experimentFW‫א‬‫א‬ J٤
‫א‬‫א‬‫א‬ -
EFs،FpF‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ETM2،TM1F‫א‬‫א‬‫א‬‫א‬
EFs،FpF‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ETM2،TM1F‫א‬‫א‬‫א‬‫א‬
EFs،FpF‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ETM2،TM1F‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬ ETM2،TM1F‫א‬‫א‬‫א‬‫א‬EFs،FpF‫א‬‫א‬‫א‬‫א‬
 
67
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 E Results of the experimentFW‫א‬ J٥
 E١ J٥‫א‬F‫א‬‫א‬‫א‬
TM2(N.m)
TM1(N.m)
 Fs(N)
 
Fp(N)
 
 
 
 
   ‫א‬
 
 
 
 
 
 
 
   ٤
 
 ‫א‬W١ J٥‫א‬
 
‫א‬‫א‬‫א‬‫א‬‫א‬ J
 E٢ J٥‫א‬F
TM2(N.m)
 
TM1(N.m)
 Fs(N)
 
 
Fp(N)
 
 
 
٤

‫א‬‫א‬
 ‫א‬W٢ J٥‫א‬
 EAnalysis of results and conclusionsFW‫א‬‫א‬ J٦
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ‫א‬‫א‬‫א‬‫א‬  
 
 
 
 
 
 
68
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 Balancing of reciprocating machinery by vibration analysis
 
EThe objectives of the experimentF‫א‬‫א‬ J١
 W‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ -
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ -
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ -
 (description of the experimentF‫א‬ J٢
 W‫א‬‫א‬
‫א‬     ‫א‬ ‫א‬   ‫א‬ ‫א‬   
‫א‬ ‫א‬‫א‬‫א‬
 ‫א‬‫א‬‫א‬
EF‫א‬ -
‫א‬ ‫א‬‫א‬ RMS‫א‬ ‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬
‫א‬‫א‬ ‫א‬‫א‬‫א‬ ‫א‬ ‫א‬‫א‬ ‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬ ‫א‬    ‫א‬ ‫א‬‫א‬‫א‬       
 EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 W٨ J٥‫א‬‫א‬‫א‬‫א‬‫א‬
EF‫א‬ •
‫א‬‫א‬‫א‬ •
 
69
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
‫א‬

 
 
 
 
‫א‬‫א‬
 ‫א‬‫א‬WE٨ J٥F
E steps of the experimentFW‫א‬‫א‬ J٤
‫א‬‫א‬‫א‬ -
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ‫א‬‫א‬‫א‬‫א‬‫א‬RMS
 
 
70
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬ 
RMS ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬E٩ J٥‫א‬F
‫א‬
 
 
 
 
 ‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 ‫א‬‫א‬
 
 
 
 ‫א‬‫א‬‫א‬‫א‬‫א‬W٩ J٥‫א‬
 ‫א‬ ‫א‬‫א‬    ‫א‬ ‫א‬‫א‬‫א‬     

 
71
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 E Results of the experimentFW‫א‬ J٥
E١٠ J٥‫א‬F‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ mms-1
f (Hz)
mms-1
t (s)
‫א‬‫א‬‫א‬‫א‬W١٠ J٥‫א‬
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ E١١ J٥‫א‬F‫א‬‫א‬‫א‬‫א‬‫א‬
-
mms-1
 
f (Hz)
‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬ mms
-1
‫א‬‫א‬‫א‬‫א‬‫א‬
t (s)
 
‫א‬‫א‬‫א‬‫א‬W١١ J٥‫א‬
 
 
 
72
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 EAnalysis of results and conclusionsFW‫א‬‫א‬ J٥
‫א‬‫א‬‫א‬‫א‬‫א‬E١٢ J٥‫א‬F
 ‫א‬‫א‬
‫א‬‫א‬‫א‬
 ‫א‬‫א‬
 
 
 
 
 
‫א‬‫א‬‫א‬‫א‬
 EmisalignmentF‫א‬‫א‬
 
 
 
 
 
 
 
 
 
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬
 EunbalanceF‫א‬
 
 
 
 ‫א‬‫א‬‫א‬‫א‬W١٢ J٥‫א‬
73
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ J
 ‫א‬
 W‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬‫א‬E١٣ J٥‫א‬F
‫א‬‫א‬‫א‬W
‫א‬W
، (balancing default)‫א‬‫א‬
 ‫א‬‫א‬
 Emisalignment)
‫א‬‫א‬W‫א‬
 ‫א‬W
 
 ‫א‬‫א‬W١٣ J٥‫א‬
 
74
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬E١٤ J٥‫א‬F
 
  ‫א‬   
‫א‬‫א‬‫א‬
‫א‬‫א‬ ‫א‬   ‫א‬ 
 ‫א‬   ‫א‬  
‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬

 ‫א‬E١٤ J٥‫א‬F
75
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬

 ‫א‬‫א‬E١٥ J٥‫א‬F
 
 
 
 ‫א‬١٩٣{٢‫א‬‫א‬
 
 
 
 ‫א‬‫א‬
 ‫א‬١٩٣{٦
 
 
‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬
 ‫א‬‫א‬W١٥ J٥‫א‬
76
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
 
 
 ‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
 
 
77
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬
 Balancing of the steam turbines
 
 W‫א‬‫א‬
‫א‬ ‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
 W‫א‬‫א‬W‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ K١
‫א‬‫א‬‫א‬‫א‬ K٢
‫א‬‫א‬ K٣
 
 
W‫א‬‫א‬
 ٨
 
 
 
 
 
 
 
 
 
 
 
 
78
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 Measuring the centrifugal forces in rotating machinery, including steam turbines
 
 EThe objectives of the experimentFW‫א‬‫א‬
 W‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬ K٤
‫א‬‫א‬ K٥
‫א‬‫א‬‫א‬‫א‬ K٦
 (description of the experimentF‫א‬ J٢
K‫א‬‫א‬‫א‬
‫א‬‫א‬ ‫א‬ ‫א‬‫א‬ ‫א‬‫א‬‫א‬‫א‬
 E١ J٦‫א‬F‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬،‫ ﻓﻲ א‬ J
 ‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬W١ J٦‫א‬
 r ‫א‬‫א‬M‫א‬‫א‬‫א‬
 (ω rad/sF
 
 W
 F= M ω²r
 
 
79
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
‫א‬ ‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬  ‫א‬ ‫א‬     ‫א‬ ‫א‬   ‫א‬
 KEF‫א‬
 ‫א‬ ‫א‬ ‫א‬  ‫א‬‫א‬  ‫א‬ ‫א‬ ‫א‬‫א‬   
 ‫א‬‫א‬
EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 W٢ J٦‫א‬‫א‬‫א‬‫א‬‫א‬
E‫א‬‫א‬F‫א‬ •
 EF •
 
 
 
 ‫א‬
 
 
 
 
 
 
 
 
 
 
 ‫א‬‫א‬‫א‬‫א‬WE٢ J٦F
 
 
80
 
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
Esteps of the experimentFW‫א‬‫א‬ J٤
٣ J٦‫א‬‫א‬‫א‬‫א‬ -
 
‫א‬W٣ J٦‫א‬
‫א‬‫א‬r‫א‬M‫א‬‫א‬‫א‬ ‫א‬‫א‬
‫א‬r‫א‬‫א‬‫א‬‫א‬‫א‬ ‫א‬‫א‬
‫א‬‫א‬‫א‬M‫א‬‫א‬‫א‬ ‫א‬‫א‬
،‫א‬F‫א‬‫א‬‫א‬ ‫א‬‫א‬E‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
81
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 E Results of the experimentFW‫א‬ J٥
M‫א‬‫א‬‫א‬‫א‬١ J٦‫א‬ ™
(ω= ~,M=79 g, r= 100 mm).‫א‬‫א‬r‫א‬
‫א‬‫א‬
‫א‬‫א‬
KKKKKKKK
٠{٩
١{١٥
‫א‬‫א‬
RPM
100
KKKKKKKK
٢{٣
٢{٥٩
150
KKKKKKKK
٤{٥
٤{٦٠
200
KKKKKKKK
٧{٢
٧{١٩
250
‫א‬
  (N)‫א‬
(N)‫א‬
 
 ‫א‬‫א‬‫א‬‫א‬W١ J٦‫א‬
 
‫א‬‫א‬‫א‬‫א‬‫א‬٢ J٦‫א‬ ™
 (m = ~,r =100mm, N=200 RPMF‫א‬r‫א‬
 
‫א‬
‫א‬‫א‬
‫א‬‫א‬
KKKKKKKK
KKKKKKKK
٧.٧٩
٧.٧
79
KKKKKKKK
١٠.٣٦
١٠.٤
104
 
(N)‫א‬
٥.٢
M (g) ‫א‬
  (N)‫א‬
٥.٣٣
 ‫א‬‫א‬‫א‬W٢ J٦‫א‬
82
54
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
M‫א‬‫א‬‫א‬‫א‬٣ J٦‫א‬ ™
(r= ~ ,M=79 g, N =200 RPMF٢ J٦‫א‬‫א‬‫א‬
‫א‬W٢ J٦
‫א‬‫א‬
‫א‬‫א‬
KKKKKKKK
٢.٥٩
٢.٤
‫א‬
r (mm)
25
KKKKKKKK
٥.١٨
٥.١
50
KKKKKKKK
٧.٧٧
٧.٨
75
KKKKKKKK
١٠.٣٦
١٠.٤
100
KKKKKKKK
١٢.٩٥
١٣.٢
125
‫א‬
  (N)‫א‬
 (N)‫א‬
 ‫א‬‫א‬‫א‬W٣ J٦‫א‬
 ‫א‬ ‫א‬    ‫א‬ ‫א‬  ٤ J٦‫א‬  ™
 ‫א‬‫א‬،‫א‬‫א‬
 
 ‫א‬‫א‬،‫א‬‫א‬W٤ J٦‫א‬
83
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 EAnalysis of results and conclusionsFW‫א‬‫א‬ J٦
E٥ J٦‫א‬F‫א‬W‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬W٥ J٦‫א‬
 E٦ J٦‫א‬F‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬W٦ J٦‫א‬
84
 
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 E٧ J٦‫א‬F‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬W٧ J٦‫א‬
 W
  ‫א‬ ‫א‬     ‫א‬ ‫א‬   
EF= M ω²rFW‫א‬‫א‬‫א‬‫א‬
 
 
 
 
 
 
 
 
 
 
 
 
 
 
85
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 Balancing of the steam turbines
 
 . E‫א‬‫א‬‫א‬F‫א‬‫א‬
   ‫א‬‫א‬‫א‬  ‫א‬   ‫א‬  ‫א‬  ‫א‬ 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬ ‫א‬‫א‬   ‫א‬‫א‬ ‫א‬     
 ‫א‬
EThe objectives of the experimentF‫א‬‫א‬ J١
W‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬ K٧
‫א‬‫א‬‫א‬ K٨
‫א‬‫א‬‫א‬‫א‬ K٩
 (description of experimentF‫א‬ J٢
      ‫א‬ ‫א‬ ‫א‬‫א‬    ‫א‬ 
  ‫א‬  ‫א‬ ‫א‬       
 K‫א‬‫א‬
، ‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬     ‫א‬‫א‬     ‫א‬‫א‬‫א‬  
 E٨ J٦‫א‬F
 
 ‫א‬‫א‬W٨ J٦‫א‬
86
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
EEquipment and instrumentsF‫א‬‫א‬‫א‬‫א‬ J٣
 W٩ J٦‫א‬‫א‬‫א‬‫א‬‫א‬
EF‫א‬ •
EFluke 810 Vibration TesterF‫א‬‫א‬‫א‬ •
‫א‬ •
 
 
 ‫א‬
 
 
 
 


Fluke 810 F‫א‬‫א‬‫א‬
EVibration Tester
 
 
 
 ‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬‫א‬WE٩ J٦F
 
 
 
 
87
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
E steps of the experimentFW‫א‬‫א‬ J٤
 ‫א‬ -
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ‫א‬‫א‬
‫א‬‫א‬‫א‬‫ א‬‫א‬
‫א‬‫א‬‫א‬  ‫א‬‫א‬
 E Results of the experimentFW‫א‬ J٥
 ‫א‬
 
 KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
 mm/sE‫א‬F‫א‬
 KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
 ‫א‬‫א‬
 KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
‫א‬‫א‬mm/sE‫א‬F‫א‬
 KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
 ‫א‬‫א‬‫א‬‫א‬
 ‫א‬W٤ J٦‫א‬
 ١ J٦‫א‬  J
 ‫א‬‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬W١٠ J٦‫א‬
88
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 EAnalysis of results and conclusionsFW‫א‬‫א‬ J٦
EKKKKF‫א‬‫א‬ J
K‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬ J
 ‫א‬‫א‬‫א‬
‫א‬
 
 KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
 EMcF‫א‬‫א‬
 KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
 EθF‫א‬
 ‫א‬‫א‬‫א‬W٥ J٦‫א‬
 
 W‫א‬١٠ J٦‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ J
 ‫א‬‫א‬‫א‬‫א‬ J
‫א‬‫א‬‫א‬‫א‬‫א‬ J
 ‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬  K‫א‬‫א‬‫א‬‫א‬ E0°F
 
 ‫א‬‫א‬‫א‬W١١ J٦‫א‬
 
 
 
89
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬
 
 ‫א‬
  µ m
 ‫א‬
d
 mm/s
v
 1g=9.80665m/s²g
Hz
a
g
f
 ‫א‬
 EdisplacementF‫א‬‫א‬
EvelocityF‫א‬
 EaccelerationF‫א‬
EfrequencyF‫א‬
M
 EMassF‫א‬
( mm/s)Em/s²FEµm)
rds
A
 EAmplitudeF‫א‬
θ
 EangleF‫א‬
N
F
‫א‬‫א‬
 Ecentrifugal forceF
N.m
Tm
N
 Fp
 ETorqueF‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬
 Eprimary forces of inertia )
N
Fs
 ‫א‬‫א‬‫א‬‫א‬
Esecondary forces of inertia)
N.m
Tm1
 ‫א‬‫א‬‫א‬
N.m
Tm2
 ‫א‬‫א‬‫א‬
 
 
 
 
 
 
90
  J‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬
‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
RMS (Root mean square)
 ‫א‬
 ‫א‬‫א‬
Peak
 ‫א‬‫א‬
Rpm( Revolutions Per Minute)
 ‫א‬‫א‬‫א‬
Peak to peak
 ‫א‬‫א‬
Amplitude (A)
 ‫א‬
Torque
 ‫א‬‫א‬
 Eprimary forces of inertia )
 ‫א‬‫א‬‫א‬‫א‬
Esecondary forces of inertia)
‫א‬‫א‬‫א‬‫א‬
primary Torque
 ‫א‬‫א‬‫א‬
Secondary Torque
 ‫א‬‫א‬‫א‬
balancing
 ‫א‬‫א‬
Vibration
 ‫א‬‫א‬
Steam turbine
 
reciprocating machinery
 
displacement
 ‫א‬‫א‬
velocity
‫א‬
acceleration
 ‫א‬
frequency
‫א‬
 
 
 
 
 
 
91
  J‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬
 
 ‫א‬
 ‫א‬‫א‬
R. Keith Mobley Editor in Chief
Lindley R. Higgins
Darrin J. Wikoff
Singiresu S. Rao
University of Miami
MAINTENANCE ENGINEERING
HANDBOOK
URL: http://www.gunt.de
G.U.N.T
Mechanical Vibrations
Dynamics of Rotating Machines
Design for Steam Turbines and
Centrifugal Compressors:
of Theory to Practice
START THE VIBRATION
MEASUREMENT
Jean-Marc PUGNET
the University of Grenoble (France)
Jacky DUMAS &Bruno BENNEVAULT
Clarence w. de silva
Vibration and shock handbook
Alok sinha
Vibration of mechanical systems
Victor wowk
Machinery vibration / balancing
Steve goldman
Vibration Spectrum Analysis
Dr. Istvan Nagy
Technical Diagnostics

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