Synthesis of Mechanical Vibration Filters With Nonlinear Characteristics

Abstract

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.