English  |  正體中文  |  简体中文  |  Items with full text/Total items : 60868/93650 (65%)
Visitors : 1146882      Online Users : 20
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/50457

    Title: Recursive Approach for Random Response Analysis using Non-orthogonal Polynomial Expansion
    Authors: Huang, Bin;Li, Qiu-sheng;Tuan, Alex Y.;Zhu, Hongping
    Contributors: 淡江大學土木工程學系
    Keywords: Random structural systems;Non-orthogonal polynomial expansions;Stochastic finite element method;Galerkin method
    Date: 2009-08
    Issue Date: 2010-08-09 17:56:59 (UTC+8)
    Publisher: Heidelberg: Springer
    Abstract: 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.
    Relation: Computational Mechanics 44(3), pp.309-320
    DOI: 10.1007/s00466-009-0375-6
    Appears in Collections:[Graduate Institute & Department of Civil Engineering] Journal Article

    Files in This Item:

    File Description SizeFormat
    0178-7675_44(3)p309-320.pdf530KbAdobe PDF331View/Open
    Recursive Approach for Random Response Analysis using Non-orthogonal Polynomial Expansion.pdf530KbAdobe PDF2View/Open

    All items in 機構典藏 are protected by copyright, with all rights reserved.

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - Feedback