Subspace Inverse Power Method and Polynomial Chaos Strategy for the Modal Response of Random Mechanical Systems

Abstract

This study concerns the computation of eigenelements of random matrices and dynamic frequency responses of linear stochastic mechanical systems. Two new strategies, based on transposing standard deterministic deflated inverse power method and subspace inverse power method into stochastic framework, are introduced via polynomial chaos expansion. Null and repeated-eigenvalue situations are addressed. Effectiveness of the proposed schemes is demonstrated through three simple examples.