1993-95 Catalog Data:   14:650:443 Vibrations and Controls, 3 credits

Prerequisite:                   14:650:342

Mechanical vibration, vibration isolation and critical speeds. Balancing of rotating and reciprocating machinery. Feedback control systems.

Textbook:                       Engineering Vibration by D.J. Inman, Prentice-Hall 1994

Goals:                             We will study how structures and machines are described mathematically, how to formulate and solve their governing equations of motion, how to model the environments and loads they commonly experience, and how to interpret the mathematical solutions physically.

Prerequisites by topic:

1. Solid Mechanics
2. Ordinary Differential Equations and Calculus
3. Dynamics
4. Advanced Calculus
   

Topics:

1. Introduction and Overview, Free vibration of oscillators, control concepts (3 classes)
2. Forced Vibration of oscillators: harmonic, Fourier-representation, impulsive, arbitrary, random, control (8 classes)
3. Base Motion (1 class)
4. Rotating Imbalances (1 class)
5. Measuring Equipment (1 class)
6. Laplace Transform Method, Control (1 class)
7. Two and multi-degree-of-freedom systems (Intro 1 class)
8. Free Vibration and Modal Analysis (4 classes)
9. Forced Vibration (2 classes)
10. Lagrange's Equations (2 classes)
11. Continuous Systems: Rods, Beams, Free and Forced Vibrations (4 classes)
    

Design Content:

Open-ended design problems are shown and assigned for homework in the following subject areas: vibration isolation and control of machines and structures, resonance of structures to earthquake loads, machine vibration design to cap maximum vibration amplitude, design of lattice structure to maximize passive damping, vibration environment for satellites, transportation vibration analysis of spacecraft shipping container, and design in a random environment.

ABET category content as estimated by faculty member who prepared this course description

Engineering Science: 2 credits or 67%

Engineering Design: 1 credit or 33%