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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Chaos-Galerkin solution of stochastic Timoshenko bending problems

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Avila da Silva, Jr., Claudio R. [1] ; Beck, Andre Teofilo [2]
Total Authors: 2
[1] Univ Tecnol Fed Parana, Dept Mech Engn, BR-80230901 Curitiba, Parana - Brazil
[2] Univ Sao Paulo, EESC, Dept Struct Engn, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMPUTERS & STRUCTURES; v. 89, n. 7-8, p. 599-611, APR 2011.
Web of Science Citations: 9

This paper presents an accurate and efficient solution for the random transverse and angular displacement fields of uncertain Timoshenko beams. Approximate, numerical solutions are obtained using the Galerkin method and chaos polynomials. The Chaos-Galerkin scheme is constructed by respecting the theoretical conditions for existence and uniqueness of the solution. Numerical results show fast convergence to the exact solution, at excellent accuracies. The developed Chaos-Galerkin scheme accurately approximates the complete cumulative distribution function of the displacement responses. The Chaos-Galerkin scheme developed herein is a theoretically sound and efficient method for the solution of stochastic problems in engineering. (C) 2011 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 08/10366-4 - Claudio Roberto Ávila da Silva Junior | Universidade Tecnológica Federal do Paraná - campus Curitiba - Brazil
Grantee:André Teófilo Beck
Support type: Research Grants - Visiting Researcher Grant - Brazil