On the moments of time to first passage of the linear oscillator

L. A. Bergman, J. C. Heinrich

Research output: Contribution to journalArticle

Abstract

The moments of time to first passage of the response process of the linear oscillator excited by a stationary wide‐band process are obtained numerically for the symmetric two‐sided barrier problem. A recursive set of partial differential equations governing the moments is solved using a Petrov‐Galerkin finite element method. Stable, accurate solutions for the first few moments are calculated over a wide range of oscillator damping.

Original languageEnglish (US)
Pages (from-to)197-204
Number of pages8
JournalEarthquake Engineering & Structural Dynamics
Volume9
Issue number3
DOIs
StatePublished - 1981

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finite element method
Partial differential equations
damping
Damping
Finite element method

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Earth and Planetary Sciences (miscellaneous)

Cite this

On the moments of time to first passage of the linear oscillator. / Bergman, L. A.; Heinrich, J. C.

In: Earthquake Engineering & Structural Dynamics, Vol. 9, No. 3, 1981, p. 197-204.

Research output: Contribution to journalArticle

Bergman, L. A. ; Heinrich, J. C. / On the moments of time to first passage of the linear oscillator. In: Earthquake Engineering & Structural Dynamics. 1981 ; Vol. 9, No. 3. pp. 197-204.
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