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

Bergman L. A. | Zendy; Heinrich J. C. | Zendy

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

Author(s) -

Bergman L. A.,

Heinrich J. C.

Publication year - 1981

Publication title -

earthquake engineering and structural dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.218

H-Index - 127

eISSN - 1096-9845

pISSN - 0098-8847

DOI - 10.1002/eqe.4290090302

Subject(s) - galerkin method , mathematics , mathematical analysis , range (aeronautics) , method of moments (probability theory) , finite element method , physics , engineering , statistics , estimator , thermodynamics , aerospace engineering

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.

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