The covariance response of linear systems to non-stationary random excitation

Abstract

An approximate method of calculating the covariance response of linear, time-invariant systems to a class of non-stationary excitation processes is given, which takes full advantage of frequency domain relationships. It is shown that the covariance response can be built up from harmonic components, in a simple way, to any required degree of accuracy. As an illustration of the method, it is used to determine the response of an idealized model of a ten-storey building to non-stationary ground acceleration.