ON PREDICTING THE RESPONSE OF NONCONSERVATIVE LINEAR VIBRATING SYSTEMS BY USING DYNAMIC MATRIX SOLUTIONS

Formulae are obtained for determining the response of non-conservative linear systems without any particular assumption about the nature of the matrix coefficients, multiplicity of eigenvalues or external forcing. The results apply equally to passive or active systems. This is accomplished in terms of the dynamical matrix solution of the given system. This solution corresponds to a zero initial matrix displacement and a unit matrix impulse when in standard form. Moreover, it is directly related to the receptance or transfer matrix of the system. © 1990.