A Method for Reducing the Number of Degrees of Freedom in Mathematical Models of Damped Linear Dynamic Systems

[+] Author and Article Information
S. E. Staffeld

Sound and Vibration Laboratory, Engineering Division, Chrysler Corporation, Detroit, Mich.

J. Eng. Ind 84(4), 418-421 (Nov 01, 1962) (4 pages) doi:10.1115/1.3667527 History: Received July 26, 1961; Online December 09, 2011


A method is given for systematically operating on the equations of motion of a linear dynamic system to produce the equations of a new system of many fewer degrees of freedom. This reduced system has a multiterminal response as close as desired to the original system in a limited frequency range. The result will always be better than that obtained with the normal mode approach and application to damped systems does not result in complex coefficients.

Copyright © 1962 by ASME
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