Abstract
This paper describes an effective method of obtaining covariance responses in recursive form for a multiply-supported structural system, such as bridges and buried underguound pipes, subjected to multiple-support seismic excitations. The seismic excitations are expressed as an autoregressive model for multiply-correlated stochastic processes. By utilizing white noise characteristics of the AR model, this covariance response matrix equation is derived from a state space matrix equation with mixed excitations are expressed as an autoregressive model for multiply-correlated stochastic model, subjected to mutually correlated stationary and nonstationary random excitations, is demonstated.