Mechanical Vibrations

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Bachelor Degree
Mechanical Design and Production Engineering
Program
Mechanical Engineering Department
Course specification
Mechanical Vibrations MD 321
1. Course Aim
Main Aim
Sub-Aims
The main aim of this course is to study the oscillatory nature of
mechanical systems so that we may design such systems with
knowledge of their vibratory response
After successfully completing this course, the student will be able to:
1) Perform detailed analysis of the response of one , two and multi
degrees of freedom systems in both free and forced vibration regimes
2) Demonstrate knowledge of simple methods of vibration control
3) Explain the interaction of mechanical vibrations with humans
4) Effectively communicate engineering work by oral and/or written
means
5) Perform vibration design of simple mechanical systems that can be
approximated by one , two or multi degrees of freedom systems.
2. Course Content
Free Vibrations, Single Degree of Freedom Undamped and Damped Systems.
Forced vibrations with applications - Systems with Two – Degrees of Freedom –
Vibration Absorbers. Numerical Methods for Multi – Degrees of Freedom Systems.
(Reference: Faculty bylaw 2004 – program specification)
Mechatronics & Robotics Program
288
Bachelor Degree
Faculty of Engineering – Assiut University
Mechanical Vibrations
3. Course Topics
1sttopic
1. Introduction to Dynamic Systems and Mechanical Vibrations
1.1 Harmonic Motion
1.2 Vibration modeling
2ndtopic
3rdtopic
4thtopic
5thtopic
6thtopic
7thtopic
2. SDOF un-damped free vibration
2.1 Equation of motion
2.2 Natural frequency
2.3 Initial conditions
3. SDOF damped free vibrations
3.1 Equation of motion.
3.2 Damped natural frequency
3.3 Damping factor
3.4 Logarithmic decrement
4. SDOF un-damped forced vibrations
4.1 Harmonic excitation
4.2 Magnification factor
4.3 Resonant frequency
5. SDOF damped forced vibrations
5.1 Transient and S-S response.
5.2 Rotating unbalance
5.3 Oscillating base.
6. Systems with two-degrees of freedom
6.1 Free vibrations
6.2 Harmonic forced vibrations
7. Systems with multi-degrees of freedom
7.1 Free vibrations
7.2 Harmonic forced vibrations
4. Grades Distribution
Assesment Methods
Final Exam
Assessments
Percentage
(‫ ﻣﻦ اﻟﻨﮭﺎﯾﺔ اﻟﻌﻈﻤﻰ )ﺑﺤﺴﺐ اﻟﻼﺋﺤﺔ‬%66.7
%5
%33.3
%5
23.3%
Report assessment
Quiz assessment
Midterm exam
Total
Mechatronics & Robotics Program
%١٠٠
289
Bachelor Degree
Faculty of Engineering – Assiut University
Mechanical Vibrations
5.list of References
Course notes
- Lecture Notes with PPT presentations
- Problem sheets
Required books Rao, S. S., “Mechanical Vibrations,” 4th Ed., Prentice Hall, 2003
Recommended
books
1. Dimaragonas, A. D. and Haddad, S. “Vibration for
Engineers,” Prentice Hall, 1992.
2. Inman, D., “Engineering Vibration”, Prentice Hall, 1999
3. De Silva, C. W., “Vibration Fundamentals and Practice,”
CRC Press, 1999
4. Thomson, W. T, and Dahleh, M. D. “Theory of Vibration
with Application,” fifth edition, Prentice Hall, 1998
5. Timoshenko, S. P, Weaver, W., and Young, D. H., “Vibration
Problems in Engineering,” fifth edition, John Wiley, 1990
Periodicals, web
sites.. etc.
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Mechatronics & Robotics Program
290
Bachelor Degree
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