presently there exist several hundred papers on so-called 'stochastic finite element technique' but extremely few closed-form solutions are available for meaningful comparison. This paper intends to fill this huge gap. This study deals with deformation of deterministic beams or stochastic beams subjected to random excitation. Exact solutions are formulated for four different classes of problems. These solutions can serve as benchmark solutions to be utilized for assessing the performance of various approximate, analytical or numerical techniques. (C) 1999 Elsevier Science Ltd. All rights reserved.
New Exact Solutions for Randomly Loaded Beams with Stochastic Flexibility
IMPOLLONIA, Nicola;
1999-01-01
Abstract
presently there exist several hundred papers on so-called 'stochastic finite element technique' but extremely few closed-form solutions are available for meaningful comparison. This paper intends to fill this huge gap. This study deals with deformation of deterministic beams or stochastic beams subjected to random excitation. Exact solutions are formulated for four different classes of problems. These solutions can serve as benchmark solutions to be utilized for assessing the performance of various approximate, analytical or numerical techniques. (C) 1999 Elsevier Science Ltd. All rights reserved.File in questo prodotto:
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