Synthesis of Mechanical Vibration Filters With Nonlinear Characteristics

[+] Author and Article Information
Ruey-Wen Liu

University of Notre Dame, Notre Dame, Ind.

Will J. Worley

University of Illinois, Urbana, Ill.

J. Eng. Ind 85(3), 247-253 (Aug 01, 1963) (7 pages) doi:10.1115/1.3669853 History: Received July 30, 1962; Online December 09, 2011


The synthesis of the desired nonlinear characteristics for the spring and damper used to isolate a single mass from a vibrating base is here investigated. The analysis is confined to the steady-state condition resulting from a sinusoidal input excitation. The purpose of this paper is to study the effect of oscillation due to nonlinear damping and the effect of the dynamic mean deflection of the nonlinear spring on the amplitude response spectrum. These factors are important in vibration isolation of equipment in space vehicles because of the variation in acceleration or in the effective weight of the isolated body. The solution for the displacement of the mass relative to its base was obtained by the harmonic balance method. The procedure has been extended to obtain the absolute displacement of the mass relative a fixed reference frame.

Copyright © 1963 by ASME
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