Zhang Yimin, Chen Suhuan, Zhou Zhenping, Liu Tieqiang. Generalized Probabilistic Perturbation Method for Static Analysis[J]. Applied Mathematics and Mechanics, 1995, 16(8): 709-714.
Citation: Zhang Yimin, Chen Suhuan, Zhou Zhenping, Liu Tieqiang. Generalized Probabilistic Perturbation Method for Static Analysis[J]. Applied Mathematics and Mechanics, 1995, 16(8): 709-714.

Generalized Probabilistic Perturbation Method for Static Analysis

  • Received Date: 1995-02-01
  • Publish Date: 1995-08-15
  • This paper studies the static response and reliability of uncertain structures with vector-valued and matrix-valued functions.The finite element analysis method of uncertain structures is based on matrix calculus,Kronecker algebra and pertrubation theory,Random variables and system derivatives are conveniently arranged into 2D matrices and generalized mathematical formulae for perturbatc perturbatcion are obtained.
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  • [1]
    K. Handa and K. Anderson, Application of finite element methods in the statistical analysis of structures, Proc. 3rd International Conference on Structural Safety and ReliabiliW, Trondheim, Norway(1981), 409.
    [2]
    H. Contreras, The stochastic finite-element method, Comput.. & Sturct., 12(1980), 341-348.
    [3]
    W. K. Liu, T. Belytschko and A. Mani, Random field finite elements, Iyrt. J. Numer. Methods Eng., 23(1986), 1831-1845.
    [4]
    朱位秋、任永坚,基于随机场局部平均}}}J随机有限元法,固体力学学报,(4) (1988).285-293.
    [5]
    A. Der Kiureghian and J.B. Ke, The stochastic finite element method in structural reliability, Prob. Engrg. Mech., 3, 2 (1988), 83-91.
    [6]
    张义民、刘巧伶,多随机参数结构可靠性分析的随机有限元法,东北工学院学报,13(增刊) (1992),97-99.
    [7]
    陈塑寰,《随机参数结构的振动理论》,吉林科学技术出版社(1992).
    [8]
    W. J. Vetter, Matrix calculus operations and Taylor expansions. SIAM Review, 15, 2(1973), 352-369.
    [9]
    F. Ma, Extension of second moment analysis to vector-valued and matrix-valued functions, Int. J. Non-Linear Mecb., 22(1987), 251-260.
    [10]
    M. Rosenblatt, Remarks on a multivariate transformation, Annals of Math. Statistics, 23 3(1952), 470-472.
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