Course Details

Time and Place:

M,W,F 10:00 am to 10:50 AM in Natural Science 218

Office Hours:

Drop in anytime during my office hours, which are M,W at 4:00-5:00 pm. Otherwise call to make an appointment, or contact me via e-mail:

Office: 1009 Furnas Hall, Office Tel: 645-2593 x2235.

Introduction:

Vibration exists all around us, some useful, such as music created by the vibration of piano strings and some which can result in disasters such as the crash of the Tacoma Narrows bridge. Knowledge of tools for the analysis of system which can vibrate is necessary for the design of buildings and bridges in seismically active areas, design of high speed turbines for airplanes, design of precision robots, besides others. This course will introduce fundamental concepts such as natural frequency, damping, resonance, etc. for simple systems.

Objectives:

The goal of this course is to provide introductory material for the analysis of vibratory systems. This course will focus on lumped parameter system and an introduction to the study of continuous systems will be provided toward the end of the course. The chronologic order of topics that will be discussed are: (i) Free vibration of a single mode system, (ii) forced vibration of a single mode system, (iii) Free and forced vibration of multi mode system, (iv) Euler-Lagrange equations of motion, (v) Vibration of continuous systems. Knowledge of ordinary differential equations, Laplace transforms, and MATLAB are assumed. Lack of exposure to MATLAB should not be a debilitating factor, since the learning curve for this software is not steep.

Prerequisites:

SYS 336 and MAE 311 or MAE 415.

Textbook:

Thomson, W. T., and Dahleh M. D. Theory of Vibration with Applications , Prentice Hall PTR, Upper Saddle River, New Jersey 07458, 1998. There will be occasional handouts to supplement the textbook.

Homework:

Homeworks will be periodically assigned, which are due one week from the day they are assigned. Late homeworks will not be accepted and solutions to the homeworks will be discussed in class.

References:

Inman, D. J., Engineering Vibration , Prentice Hall PTR, Englewood Cliffs, NJ, 1994.
Benaroya, H., Mechanical Vibration: Analysis, Uncertainties, and Control, Prentice Hall PTR, Upper Saddle River, NJ, 1998.
Steidel, R. D. Jr., An Introduction to Mechanical VIbrations , John Wiley and Sons, New York, NY, 1989.
AIAA Journal of Guidance, Control and Dynamics
ASME Journal for Dynamic Systems, Measurement and Control
Journal Sound and Vibration

Important Dates