ME 143 – Mechanical Vibrations - Syllabus

Course Description:

Free and forced vibrations of damped and undamped systems. Impulse and step response. Single and multi-degree of freedom

systems: natural frequencies, mode shapes, modal analysis. Shock absorber, tuned mass dampers and other devices.

Text:

Engineering Vibrations, by D. Inman, Prentice Hall, 2001

Mechanical Vibrations by S. Graham Kelly SI Edition, Global Engineering 2012

Course Objectives:

(1) Formulate mathematical models of vibration systems using Newton's second law or energy principles,

(2) Determine a complete solution to the modeled mechanical vibration problems.

(3) Determine the characteristics of a vibrating system such as natural frequency, modes of vibration, and express the system

response as an equation.

(4) Correlate results from the mathematical model to physical characteristics of the actual system.

Syllabus

Discrete Systems

I. Spring and Mass Systems

A. Single Degree of Freedom Systems (SDOF)

1. Free Vibration

2. Damped Vibration

3. Forced Undamped Vibration

4. Forced Damped Vibration

Transient and Steady State Response

Periodic Excitation

Impulse Response

Random Vibration

B. Multi-Degree Freedom Systems (MDOF) Spring and Mass Systems

1. Free Vibration

2. Damped Vibration

3. Forced Undamped Vibration

4. Forced Damped Vibration

Transient and Steady State Response

Periodic Excitation

Impulse Response

Random Vibration

5. Tuned Mass Damper

II. Torsion Systems, Beams, Compound Systems

1. Free Vibration

2. Damped Vibration

3. Forced Undamped Vibration

4. Forced Damped Vibration

Transient and Steady State Response

Periodic Excitation

Impulse Response

Random Vibration

Continuous Systems

Solutions approach. Response of continuous systems

Evaluation Method: Grade Equivalents

4 Long Exams 95 up 1.0

Exemption: Long Exam Average ≥ 55 90 up 1.25

For those exempted: Raw Grade = Long Exam Average 85 up 1.5

For those taking the Final Exam: 80 up 1.75

Raw Grade 60% Long Exam + 40% Final Exam 75 up 2.0

70 up 2.25

65 up 2.5

60 up 2.75

55 up 3.0

50 up 4.0