Random eigenvalues, algebraic methods and structural dynamic models

摘要

A review of the literature of the study of structural vibration problems with random parameters is provided. There have been several approaches to this problem. These have been encapsulated in this paper for the benefit of those who need to assess such possibilities.In particular, the algebraic theory of random variables is delineated here with the application in mind being the determination or estimation of the statistics of the eigenvalues of linear dynamical systems. Various transformation techniques are summarized and discussed with simple examples.