Vibration Response of Linear Damped Complex Systems

[+] Author and Article Information
Robert Plunkett

University of Minnesota, Minneapolis, Minn.

J. Appl. Mech 30(1), 70-74 (Mar 01, 1963) (5 pages) doi:10.1115/1.3630107 History: Received August 15, 1961; Online September 16, 2011


Hahnkamm has found the changes in the amplitudes of each of the two maxima of the unit vibration response of a two-degree-of-freedom linear system as the strength of the single linear dashpot is changed. This paper develops two approximate expressions for the change in all of the response maxima of a multidegree or continuous system as the dashpot constant of the single linear damper is changed. One of these approximations is derived from a perturbation solution around the minimax values, and the other is derived from an expansion in normal modes. These expressions are useful in determining the sensitivity of the maximum response value to small changes in the damping constant.

Copyright © 1963 by ASME
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