Research Article
Jun 1972
Linear Response to Nonstationary Random Excitation
Publication: Journal of the Engineering Mechanics Division
Volume 98, Issue 3
Abstract
The class of inputs considered herein is that of a stationary process multiplied by a deterministic intensity function. Both the stationary process and the intensity function may be arbitrarily specified. The approximate solution is constructed from a fundamental partial solution which is independent of the intensity function. The intensity is approximated by a staircase function and the principle of superposition is applied to generate the total mean-square response. Closed form solutions are derived for a single-degree-of-freedom system excited by correlated noise having an intensity function of the general staircase type, and an exponentially decaying intensity function. Approximate solutions based on 2, 4 and 8 step staircase approximations of the latter, illustrate the convergence of the method. Response to narrow-band excitation shaped by a half-sine pulse is also presented and compared to some previously published results.
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Published In
Journal of the Engineering Mechanics Division
Volume 98 • Issue 3 • June 1972
Pages: 519 - 530
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Jun 1972
Published online: Feb 3, 2021
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Timothy Hasselman
Member of the Tech. Staff, TRW Systems, Redondo Beach, CA
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.