Barrier Crossing Due to Transient Excitation

The first-passage time problem for the response amplitude of a linear lightly damped single-degree-of-freedom oscillator under evolutionary random excitation is considered. A Markovian approximation of the amplitude allows the use of a Fokker-Planck equation for the formulation of the problem. This...

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Bibliographic Details
Published in:Journal of engineering mechanics 1984-01, Vol.110 (1), p.20-36
Main Authors: Spanos, Polychronis-T. D, Solomos, G. P
Format: Article
Language:English
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TECHNICAL PAPERS
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Summary:The first-passage time problem for the response amplitude of a linear lightly damped single-degree-of-freedom oscillator under evolutionary random excitation is considered. A Markovian approximation of the amplitude allows the use of a Fokker-Planck equation for the formulation of the problem. This equation is solved exactly for the special case of a step function-modulated stationary excitation. These results are used in determining a solution for the general excitation case via a Galerkin technique. Pertinent digital simulation data demonstrate the reliability and extreme efficiency of the developed solution method.
ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)0733-9399(1984)110:1(20)