Z-transform modeling of P-M wave spectrum

Pol D. Spanos, Marc Mignolet

Research output: Contribution to journalArticle

26 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)745-759
Number of pages15
JournalJournal of Engineering Mechanics
Volume112
Issue number8
DOIs
StatePublished - 1986
Externally publishedYes

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Z transforms
Structural dynamics
White noise
Digital filters

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Z-transform modeling of P-M wave spectrum. / Spanos, Pol D.; Mignolet, Marc.

In: Journal of Engineering Mechanics, Vol. 112, No. 8, 1986, p. 745-759.

Research output: Contribution to journalArticle

Spanos, Pol D. ; Mignolet, Marc. / Z-transform modeling of P-M wave spectrum. In: Journal of Engineering Mechanics. 1986 ; Vol. 112, No. 8. pp. 745-759.
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