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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.