' # #$ % "" #" # + # [7]. ' #$ # " % # # )1: 1. ' % HNBR XYLAN & +20 –40 " # " 3–4 % # % % . 2. ' +20 +120 % % #$ %" ", #$+ % +. 3. ' # #" + " 0,8 50 ' " #" + % XYLAN $ ". # 1. . ., ' # 3. Â. 3#" #" + "& % # // 3 *,. 2015. /. 16, ¬ 3. . 705–713. 2. . . # $ % // #$ # " ++ + : # XI 3 . . '. : % - ' #+. - , 2007. . 247–248. 3. . ., ' # 3. Â. ° #$ # # # #" " # . '. : % - ' #+. - , 2015. 236 . 4. 5 # . *., . ., # . 0. #$% %+ # %# + " " " – % #"+- # #"+ // 3 # ". 2012. ¬ 4 (72). . 240–244. 5. . . ² # ". '. : % - ' #+. - , 2014. 111 . 6. . . #" # " # + # // #$ # " ++ + : # XIV 3 . . '. : % - ' #+. - , 2010. /. 1. . 139–140. ________________________ ,²! 62.752; 621.01; 534-16 . 2016 7. Â % . ., ' # 3. Â., . . 3##$ " + . '. : % - ' #+. - . 2007. 122 . References 1. Ashe3chik A. A., Polonski3 V. L. [Influence of contact stress distribution for leakage through mechanical seal] // Vestnik SibGAU. 2015. Vol. 16, ¬ 3. P. 705–713. (In Russ.) 2. Ashe3chik A.A. [A study of the dynamic modulus and internal friction module elastomers]. Fundamental'nye issledovaniya v tekhnicheskikh universitetakh // Materialy XI Vserossi3sko3 konferentsii po problemam nauki i vysshe3 shkoly» [Materials XI AllRussian Conference on Science and Higher Education]. St.-Petersburg, St.-Petersburg polytechnical university publ., 2007. P. 247–248. (In Russ.) 3. Ashe3chik A. A., Polonski3 V. L. Eksperimental'noe issledovanie elastomerov i polimerov dlya neftyanoi promyshlennosti. [Experimental research of elastomers and polymers for petroleum industry]. St.-Petersburg, St.-Petersburg polytechnical university publ., 2015, 236 p. (In Russ.) 4. Chulkin S. G., Ashe3chik A. A., Selin S. N. [Use of composit materials in subassembly of a friction of the oil equipment] // Materials Questions. 2012. ¬ 4. P. 240–244. (In Russ.) 5. Ashe3chik A. A. Detali mashin i osnovy konstruirovaniya. [The machine elements and base of design]. St.-Petersburg, St.-Petersburg polytechnical university publ., 2014. 111 p. (In Russ.) 6. Ashe3chik A. A. [Stand for investigation of tribological properties of materials]. Fundamental'nye issledovaniya v tekhnicheskikh universitetakh. Materialy XIV Vserossi3sko3 konferentsii po problemam nauki i vysshe3 shkoly» [Materials XIV All-Russian Conference on Science and Higher Education]. St.-Petersburg, St.Petersburg polytechnical university publ., 2010. Vol. 1. P. 139–140. (In Russ.) 7. Lazarev S. O., Polonski3 V. L., Ashe3chik A. A. Vychislitel'naya mekhanika. [The computing mechanics]. St.-Petersburg. St.-Petersburg polytechnical university publ., 2007. 122 p. (In Russ.) © . ., ' # 3. Â., 2016 5 E!@=C C;>BCH8E5D j8EA5EAC B8<>;CH8E5D 5?8>A8?F;5D ECEA8B4 E H>EA5A;4B <>>A8CEACH8ECB >!;8;C8B . 3. ¯# #$1, 3. ¯. ! 1, . 3. ¶#2 1 ¯ " ", 665709, . ¯ , #. , 40 2 1" " ", 664074, . , #. 5 , 15 E-mail: rector@brstu.ru 4 / . #3 : , , , / . 544 ! ABOUT CONNECTION OF DYNAMICAL STIFFNESS OF MECHANICAL OSCILLATION SYSTEM WITH FREQUENCY CHARACTERISTIC EQUATION S. V. Belokobil’skiy1, V. B. Kashuba1, S. V. Eliseev2 1 Bratsk State University 40, Makarenko Street, Bratsk, 665709, Russian Federation 2 Irkutsk State Transport University 15, Chernyshevskogo Street, Irkutsk, 664074, Russian Federation E-mail: rector@brstu.ru The research proposes a method to determine the dynamical stiffness of a mechanical oscillation system and its fragments on the basis of the use of the frequency characteristic equation. Keywords: dynamical stiffness of system, transfer function, characteristic equation, quasi-spring. ! . ' "" + & "+ + + + + #$% )" % % 1 ++ 2 [1; 2]. % + # " + % #" $ + # % " + & #$ #$% " % % # . ' # % #" + + # + [3; 4]. 3 # & )" % #$ # , "% + #% # ""+ & # #$+ , + " % + ". 5#{ % . % " + + + #+ , & 1+ #")1+ # . ' # + , , # " " (. 1). &" , "% & % , #. i $ 11 12 m1 p k1 k2 k2 2 21 22 k2 m2 p 2 k2 k3 1 # Q1 % # ##$ % #$ (1) a22 # # , k22 D( p) m1 p 2 k1 k2 , (2) 2 m2 p k2 k3 1 [1]. p j Z – # " "; j ² " & $ # D(Z) # & # Q1 m1 % & #$ D1 (Z) k1 k2 m1Z2 , (3) & % & k22 D2 (Z) . (4) k2 k3 m2 Z2 0 . 2 # % D(Z) z2 Q2 k3 Q2 m2 D1 (Z ) D2 (Z ) D1 (Z) D2 (Z) . (5) D2 (Z ) y2 D1 (Z ) Q1 k2 m1 y1 0 k1 Z1 Z2 Z3 Z4 Z z1 . 1. " + + 2 " " D2 (Z ) B \. ' " " # + % 1"+, # &+ # , ( Q2 = 0) y1 a22 W ( p) . (1) Q1 a11a22 a12 . 2. * %" + & : " 1 – D1(); " 2 – D1() 3 + " + D1() D2() " & $ #), $ & % 545 & & + # # & [5; 6]. 5 # ] $ . ¶# $ m1 2 % 1, m1p2 + k1 #" # #$ ) , ###$ k1 $ % & & $) k2 (m2 p 2 k3 ) k . (6) m2 p 2 k2 k3 0 2 = k3/m2 " & $ #), & y2 / y1 = 1. = p . ² " & $ & $" #" % &, "#")1" % % + # #) #$+ # # # . ¶# " & $ % & « #""», #% " & + & #$ . 3 #" #" + & & $ #$% + . # 1. ¶# . 3., % ì. 0., 7 . '. + + + + # #$+ . 0 : 0 , 2011. 384 . 2. ¯# #$ . 3., ¶# . 3., ! 3. ¯. '# % % 1+ . '. : ' #+ , 2013. 363 . 3. ¯# #$ . 3., ¶# . 3., . . ² + + . & - "%. '. : ' #+ , 2013. 319 . 4. ¶# . 3., #$ 3. 3., ¶# . 3. ² + % # + # + & )1+ "%. 0 : 0 , 2015. 332 . 5. ¯# #$ . 3., ¶# . 3., ! 3. ¯. + % + + + # #$+ # // . . /+ # . 2015. ¬ 4(28). . 7–15. . 2016 6. " &" # + + # #$+ "#" &+ "% / . 3. ¯# #$, . 3. ¶#, 3. ¯. ! . // . . /+ # . 2015. ¬ 3(27). . 7–14. References 1. Eliseev S. V., Reznik Yu. N., Khomenko A. P. Mekhatronnyie podkhodyi v dinamike mekhanicheskikh kolebatel’nyikh system. [Mechatronic approaches in the dynamic of mechanical oscillatory systems]. Novosibirsk : Nauka, 2011. 384 p. 2. Belokobelskiy S. V., Eliseev S. V., Kashuba V. B. Prikladnyie zadachi strukturnoi teorii vibrozashitnyikh system. [Applied tasks of the structural theory of vibroprotection systems]. Saint-Petersburg : Politekhnika, 2013. 363 p. 3. Belokobelskiy S. V., Eliseev S. V., Sitov I. S. Dinamika mekhanicheskikh system. Ryichashnyie i inertsiono-uprugie sviazi. [Dynamic of mechanical systems. Lever and inertial-elastic ties]. Saint-Petersburg : Politekhnika, 2013. 319 p. 4. Eliseev A. V., Selvincky V. V., Eliseev S. V. Dinamika vibratsionnyikh vzaimodeictvii elementov. [Dynamic of vibratory interactions of elements of technological systems with considering unilateral constraints]. Novosibirsk : Nauka, 2015. 332 p. 5. Belokobelskiy S. V., Eliseev S. V., Kashuba V. B. Impedansnyie podkhodyi kak odna iz form otsenki dinamicheskikh svoistv mechanicheskikh kolebatel’nyikh system v strukturnom matematicheskom modelirovanii. [Impedance approaches as a form of evaluation of dynamic properties of mechanical oscillatory systems in structural mathematical modeling] // Sistemy. Metody. Tekhnologii, 2015. ¬ 4(28). P. 7–15. 6. Belokobilskiy S. V., Eliseev S. V., Kashuba V. B., Nguyen D. H. Sootnoshenia koordinat dvizhenia elementov mekhanicheskikh kolebatel’nyikh system kak forma proavlenia ryichashnyikh sviazei. [Relations of coordinates of the movement elements of mechanical oscillatory systems as a form of manifestation lever ties] // Sistemy. Metody. Tekhnologii. 2015. ¬ 3(27). P. 7–14. © ¯# #$ . 3., ! 3. ¯., ¶# . 3., 2016 ______________________________________ ,²! 62.752, 621:534;833; 888.6, 629.4.015;02 CE5?F=5!>;C8 8>bCD E!@=8D > >>B8A> 5b8;C C;>BCH8E5_5 E5EA5@;C@ B8<>;CH8EC< 5?8>A8?F;4< ECEA8B . . ¯ #$ , ². 7. 0 , !. 5. 3 1" " ", 664074, . , #. 5 , 15 E-mail: bolshakov_rs@mail.ru @ / , / / . #3 : , / , . 546