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New exact solutions for randomly loaded beams with stochastic flexibility

✍ Scribed by I. Elishakoff; N. Impollonia; Y.J. Ren

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 579 KB
Volume: 36
Category: Article
ISSN: 0020-7683
DOI: 10.1016/s0020-7683(98)00113-9

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✦ Synopsis

Presently there exist several hundred papers on so!called {stochastic _nite element technique| but extremely few closed!form solutions are available for meaningful comparison[ This paper intends to _ll this huge gap[ This study deals with deformation of deterministic beams or stochastic beams subjected to random excitation[ Exact solutions are formulated for four di}erent classes of problems[ These solutions can serve as benchmark solutions to be utilized for assessing the performance of various approximate\ analytical or numerical techniques[

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Exact and approximate solutions, and variational principles for stochastic shear beams under deterministic loading

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