ME498: Special Topics (Acoustics and Vibrations in Design)
Winter 2007
Department of Mechanical Engineering, University of Saskatchewan
http://www.csaengineering.com/spclnch/m-strut.shtml
Instructors: R. Fotouhi
Office: 2B35
Phone: 966-5453
e-mail: Reza.Fotouhi@usask.ca
Class Web Site: http://www.engr.usask.ca/classes/ME/498/
Office Hours:
TBA
Lecture:
MWF
8:30-9:20
Lab:
M (alternating week) 2:30-5:30
Prerequisites: ME316
COURSE DESCRIPTION:
This course is an introduction to acoustics and vibrations in design. Free, and forced
vibrations of systems will be examined. Applied theory includes the study of the fundamental
single-degree-of-freedom (DOF) and the 2DOF systems using Newton's law of motion, the
energy method, Langrange's equations, and determination of natural frequencies, acoustics,
properties, and noise standards. Design part of the course includes systems under shock and
impact loading, vibration isolation and control. In addition the course will include noise control
and design of mechanical systems for noise reduction. The course includes design oriented
lab and assignments, and design based project.
TEXTBOOKS:
• Acoustics and noise control 2nd Edition, B.J. Smith, R.J. Peters, and S. Owen, Addison
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Wesley, 1996. (Textbook)
Mechanical Vibrations 4th Edition, Rao, S. S., Prentice Hall, 2004. (Textbook)
http://www.phptr.com/bookstore/product.asp?isbn=0130489875&rl=1
Fundamentals of Noise and Vibration Analysis for Engineers, 2nd Edition, M. P. Norton
and D. G. Karczub, Cambridge University Press, 2003 (Reference)
http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=0521499135
Mechanical Vibration, W.J. Palm, III, Wiley, 2007 (Reference)
http://hecda.wiley.com/WileyCDA/HigherEdTitle/productCd-0471345555.html
Foundations of Engineering Acoustics, F.J. Fahy, Academic Press, 2001 (Reference)
EVALUATION:
Midterm Examination
Final Examination
Assignments
Design Project*
Quiz & Lab Participation
15%
50%
10%
20%
5%
The assigned questions are about 3 to 5 questions per set. The assigned questions should
be handed in as a set by 4:00 pm of the due dates. Late submission of assigned works will
be penalized by 10% per day and may not be accepted. Up to two persons can team-up for
the project. The design project includes a report and presentation in a related topic such as
Determination of natural frequencies and mode shapes, Vibration control, Vibration
measurement and applications, Finite element in vibration analysis and design, Vibration
analysis using MATLAB, ANSYS, and ADINA. Other related topics may also be accepted for
design project, if approved by the instructor. Students are expected to hand in a written
report, not exceeding 20 pages, and present their project to the class.
IMPORTANT DATES
January 3, 2007: First day of classes.
January 16, 2007: Last day to make changes in registration for second-term classes.
February 7-9, 2007: Midterm exams for Mechanical Engineering third and fourth years.
February 12-17, 07: Midterm break.
March 15, 2007:
Last day to withdraw from second-term classes without academic
penalty.
April 9, 2007:
Last day of classes.
April 12-30, 2007: Final examinations period. A final exam schedule will be posted by the
Registrar's Office (www.usask.ca/registrar/exams).
May 16, 2007:
Closing date for submitting requests for supplemental exam.
June 7, 2008:
Deferred exams begin for second and two-term classes.
GENERAL INFORMATION
The course consists of three one-hour lectures per week and three hour lab every other
week. A list of suggested homework problems is attached. Some problems are assigned for
assignments. Additional problems may be assigned. It is your responsibility to learn how to
solve these problems. Difficulties in the assigned problems are addressed in the lab.
Assignment guidelines: Please use the following as guidelines for your assignments
1. Use one side of the engineering pad or similar paper.
2. Leave margins clear except for identifying the answers.
3. Staple sheets at the top left corner of the paper.
4. Write your name and the class number on the top right corner of the paper.
5. Drawings/graphs and your writing should be very clear and precise.
6. Write text of the question.
7. Use at least one page per question.
All marked work is returned most likely within a week and solutions placed on the class web
site.
Regular attendance at all classes is compulsory. If you must be absent, assume
responsibility for the missed material. Missed tests may be written by prior arrangement.
Please make these arrangements before you miss the class. A few minutes are set aside at
the beginning of each lecture period to solve difficulties arising from the preceding materials.
Orderly discussions are encouraged during the lecture. You are encouraged to stop in during
selected hours to talk about any problem or suggestions you may have concerning the
course; about careers; or just about things in general. If you would like to see me outside of
selected hours, feel free to schedule an appointment.
Lecture Summary
ME 498.3 Acoustics Design and Vibrations
Suggested questions
Periods
Topics
Weeks
1
• Rao Ch 1- Fundamentals of vibration
• Basic concept of vibration
• Harmonic analysis
• Design case study using MATLAB (forging hammer)
2
• Rao Ch 2- Free Vibration - Single DOF Systems
• Free vibration of undamped and damped systems
• Using energy method in design
• Design case study (lunar excursion module)
3,4
• Rao Ch 3- Harmonically Excited Vibration (1DOF)
• Response of damped and undamed systems under
harmonic excitation
• Design case study (minimum weight water tank)
5
• Rao Ch 4- Vibration Under general Forcing
Conditions
• Response under general periodic and non-periodic
forces
• Response spectrum for base excitation
• Design under a shock environment
• Design case study (milling cutter)
6,7
• Rao Ch 5- Two DOF systems*
• Equations of motion for forced vibration
• Free vibration of an undamped system
• Design of a torsional system (marine engine propeller)
• Design case study (Anvil and work-piece)
8,9
• Rao Ch 9- Vibration suppression and control
• Vibration criteria
• Balancing of rotating machines
• Whirling of rotating shafts
• Balancing of reciprocating engines
• Design for vibration control
• Vibration isolation
• Vibration absorbers
• Design case study (isolator design of milling machine)
10
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12
13
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Rao Ch 10- Vibration measurement and
applications
Transducers
Vibration pickups
Frequency measuring instruments
Vibration exciters
Machine condition monitoring and diagnosis
Design case study (Frahm tachometer)
Norton Ch 8- Noise and vibration as a design tool
Review of available signal analysis techniques
Fault detection from noise and vibration (for gears,
rotors and shafts, bearings, fans, punch presses,
pumps)
Smith Ch 1- Measurement of sound
Introduction to sound measurement equipment
Smith Ch 8- Noise-control engineering
The noise chain: source-path-receiver
Reduction of noise from sound radiating surfaces
Reduction of noise from machinery
Control of noise by good planning and management
Acoustic enclosures
Active noise control
Smith Ch 10- The law relating to noise
Case studies (legal control of aircraft noise)
*Time permits
Laboratory Summary
ME 498.3 Acoustics Design and Vibrations
Periods
Topics
Weeks
2
• Introduction to MATLAB
• Introduction to ANSYS
4
• Design case study examples for free vibration of
single DOF systems
6
• Design case study examples for forced vibration of
single DOF systems
8
• Design case study examples for Vibration control
10
• Design case study examples for Noise-control
engineering
12
• Presentations of design projects