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contributor authorP. H. Madsen
contributor authorS. Krenk
date accessioned2017-05-08T23:17:02Z
date available2017-05-08T23:17:02Z
date copyrightSeptember, 1984
date issued1984
identifier issn0021-8936
identifier otherJAMCAV-26240#674_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/97998
description abstractThe first-passage problem for a nonstationary stochastic process is formulated as an integral identity, which produces known bounds and series expansions as special cases, while approximation of the kernel leads to an integral equation for the first-passage probability density function. An accurate, explicit approximation formula for the kernel is derived, and the influence of uni or multi modal frequency content of the process is investigated. Numerical results provide comparisons with simulation results and alternative methods for narrow band processes, and also the case of a multimodal, nonstationary process is dealt with.
publisherThe American Society of Mechanical Engineers (ASME)
titleAn Integral Equation Method for the First-Passage Problem in Random Vibration
typeJournal Paper
journal volume51
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3167691
journal fristpage674
journal lastpage679
identifier eissn1528-9036
keywordsIntegral equations
keywordsRandom vibration
keywordsApproximation
keywordsFormulas
keywordsDensity
keywordsProbability
keywordsSimulation results AND Stochastic processes
treeJournal of Applied Mechanics:;1984:;volume( 051 ):;issue: 003
contenttypeFulltext


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