Recursive Approach for Random Response Analysis using Non-orthogonal Polynomial Expansion

doi:10.1007/s00466-009-0375-6

淡江大學機構典藏 > 工學院 > 土木工程學系暨研究所 > 期刊論文 > Item 987654321/50457

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題名:	Recursive Approach for Random Response Analysis using Non-orthogonal Polynomial Expansion
作者:	Huang, Bin;Li, Qiu-sheng;Tuan, Alex Y.;Zhu, Hongping
貢獻者:	淡江大學土木工程學系
關鍵詞:	Random structural systems;Non-orthogonal polynomial expansions;Stochastic finite element method;Galerkin method
日期:	2009-08
上傳時間:	2010-08-09 17:56:59 (UTC+8)
出版者:	Heidelberg: Springer
摘要:	Using non-orthogonal polynomial expansions, a recursive approach is proposed for the random response analysis of structures under static loads involving random properties of materials, external loads, and structural geometries. In the present formulation, non-orthogonal polynomial expansions are utilized to express the unknown responses of random structural systems. Combining the high-order perturbation techniques and finite element method, a series of deterministic recursive equations is set up. The solutions of the recursive equations can be explicitly expressed through the adoption of special mathematical operators. Furthermore, the Galerkin method is utilized to modify the obtained coefficients for enhancing the convergence rate of computational outputs. In the post-processing of results, the first- and second-order statistical moments can be quickly obtained using the relationship matrix between the orthogonal and the non-orthogonal polynomials. Two linear static problems and a geometrical nonlinear problem are investigated as numerical examples in order to illustrate the performance of the proposed method. Computational results show that the proposed method speeds up the convergence rate and has the same accuracy as the spectral finite element method at a much lower computational cost, also, a comparison with the stochastic reduced basis method shows that the new method is effective for dealing with complex random problems.
關聯:	Computational Mechanics 44(3), pp.309-320
DOI:	10.1007/s00466-009-0375-6
顯示於類別:	[土木工程學系暨研究所] 期刊論文

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