Barrier Crossing Due to Transient Excitation
Publication: Journal of Engineering Mechanics
Volume 110, Issue 1
Abstract
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.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 110 • Issue 1 • January 1984
Pages: 20 - 36
Copyright
Copyright © 1984 ASCE.
History
Published online: Jan 1, 1984
Published in print: Jan 1984
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