Generalized Matrix Method for the Design and Analyses of Vibration Isolation Systems

Abstract

The effective rotational and translational stiffnesses of a set of isolators arbitrarily oriented with respect to the c.g. of an isolated rigid mass are developed by matrix techniques. Influence coefficients for determining isolator loadings due to arbitrary g loads are also presented in matrix form. Matrix equations of rigid-body motion for a general isolation system are presented and conditions for decoupling translational and rotational motions are determined. The application of the matrix techniques developed to the design of vibration isolation systems is illustrated through several examples.