Amplitude Bounds of Linear Free Vibrations

[+] Author and Article Information
W. Schiehlen, Bin Hu

Institute B of Mechanics, University of Stuttgart, Pfaffenenwaldring 9, 70550 Stuttgart, Germany

J. Appl. Mech 62(1), 231-233 (Mar 01, 1995) (3 pages) doi:10.1115/1.2895909 History: Received January 27, 1994; Revised April 15, 1994; Online October 30, 2007


Linear free vibrations are completely characterized by their eigen-frequencies and eigenmodes. However, in engineering applications the amplitudes of a vibrating system have to be bounded, too. The information on the amplitudes of linear vibrations is available from the general solution for each set of initial conditions, which usually are unknown vector quantities. The initial energy is a scalar quantity which is used to identify the amplitude bounds of arbitrarily damped linear vibrating systems.

Copyright © 1995 by The American Society of Mechanical Engineers
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