Recursive Covariance of Structural Responses
Publication: Journal of Engineering Mechanics
Volume 110, Issue 12
Abstract
This paper describes an effective method of obtaining covariance responses in recursive form for a multi‐degree‐of‐freedom linear structural system subjected to nonstationary random excitations. The earthquake excitations are expressed as a multiply‐correlated nonstationary autoregressive process model. By utilizing white noise characteristics of the AR model, this covariance response matrix equation is derived from state space matrix equation with mixed excitations and response components. Then, a torsional vibration model, subjected to two horizontal components of earthquake excitation, is analyzed. A BWR type nuclear power plant building is used as an example to show how recursive covariances are applied to evaluate statistical values of nonstationary maximum responses.
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Published In
Journal of Engineering Mechanics
Volume 110 • Issue 12 • December 1984
Pages: 1743 - 1755
Copyright
Copyright © 1984 ASCE.
History
Published online: Dec 1, 1984
Published in print: Dec 1984
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