ENME 445 Mechanical Vibrations (3)

Required course for majors in the mechanical specialty.

Catalog Description:

Free and forced vibrations of damped and undamped systems; single and multiple degrees of freedom using lumped parameter analysis. Matrix rotation; sweeping and rotation techniques. Design experience included.

Spring semester. Lecture 3 hours. Prerequisites: ENGR 248, ENME 348 with grades of C or better,

Mathematics 245, 255

Prerequisites:

ENGR 248, ENME 348 with grades of C or better, Mathematics 245, 255.

Textbook/References:

Engineering Vibration, Daniel J. Inman, Second Edition, Prentice-Hall;

Reference: Noise Reduction, Leo Beranek, ed., Peninsula Publishing.

Course Objectives: (numbers in the parenthesis indicate relationship to ME program outcomes)

At the completion of the course, students will have demonstrated the ability to

· Determine and solve the equation of motion and natural frequency of a freely vibrating spring-mass system

· Determine the equation of motion and solve forced vibrating systems (2)

· Write the equation of motion for multiple degree of freedom systems (2)

· Apply modal analysis to multiple degree of freedom vibrating systems (2)

· Use Labrange’s equations to develop equations of motion of vibrating systems (2)

· Consider suppression of vibration using isolation and vibration absorbers (2)

· Apply MATLAB to the solution of various sets of differential equations describing vibrating systems (2)

· Understand basic terminology of sound, methods of sound suppression, and OSHA standards for exposure to sound (7)

· Determine the natural frequency for multiple degree-of-freedom systems and analytically solve the resulting linear equations (9)

· Solve partial differential equations of vibrating systems using separation of variables (9)

· Solve the linear equations associated with multiple degree of freedom systems (10).

Class/Laboratory Schedule:

Lecture either three times per week at 50 minutes per class, or two times per week at 75 minutes per class.

Topics Covered:

Weeks Topic

1 - 3 Introduction, Free Vibrations (2)

4 Numerical Solutions (2)

5 – 6 Harmonic Excitation

7 –8 Multiple-Degree-of-Freedom Systems (9, 10)

9 Introduction to Noise (7)

10-11 Vibration Suppression (2)

12 General Forced Response (9)

13 - 14 Distributed Systems (2)

Contribution to Professional Component:

Contributes toward the 1.5 years of engineering topics as a 3 credit hour course in engineering sciences and engineering design.

Relationship of course to program outcomes

The course supports ME program outcomes 2, 7, 9 and 10

Prepared by: Dr. James W. Hiestand 6-3-03