ENME 665 – ADVANCED TOPICS IN VIBRATIONS

 Instructor: A. Baz

Office: 2137 ENG. Bldg.

Tel: 301-405-5216

e-mail: baz@eng.umd.edu

 Prerequisites: ENME 360 & 662 or equivalent

 COURSE OBJECTIVE

          This course aims at introducing the basics of nonlinear vibrations of structural and mechanical systems.

COURSE CONTENTS

1.      Characteristics of nonlinear dynamic systems

2.      Perturbation methods

3.      Phase plane & Poincare^’ maps

4.      External, parametric & internal resonances

5.      Stability & Bifurcations

6.      Chaos & Lyapunov exponents

7.      Control of Chaos

SUGGESTED TEXTBOOKS:

1.      Elements of Vibration Analysis, 2^nd ed., L. Meirovitch, McGraw-Hill, New York, 1986

2.      Nonlinear Oscillations, A. Nayfeh and D. Mook, J. Wiley, New York, 1979.

3.      Applied Nonlinear Dynamics, A. Nayfeh and B. Balachandran, J. Wiley, 1995.

GRADING POLICY:                         25% Homework,

                                                            20% First exam.      

                                                            20% Second Exam. 

                                                     and 35% Term Project    

COMMENTS:  Some  assignments and project will  require  programming in MATLAB and/or FORTRAN

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Last modified: April 01, 2002