Z‐Transform Modeling of P‐M Wave Spectrum
Publication: Journal of Engineering Mechanics
Volume 112, Issue 8
Abstract
The approximation of the Pierson‐Moskowitz (P‐M) wave spectrum as the output of digital filters to white noise excitation is considered. It is shown that the mathematical peculiarity of this spectrum is the source of the numerical difficulties encountered in approximating it by autoregressive (AR) models. Further, it is shown that a reasonably accurate initial AR approximation leads to quite efficient autoregressive moving average (ARMA) models. This is accomplished by employing two new techniques. Numerical data are given in a dimensionless form so that they are applicable to a variety of structural dynamics applications.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 112 • Issue 8 • August 1986
Pages: 745 - 759
Copyright
Copyright © 1986 ASCE.
History
Published online: Aug 1, 1986
Published in print: Aug 1986
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