Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (7): 679-687.

• 论文 • 上一篇    下一篇

PERTURBATIONAL SOLUTIONS FOR FUZZY-STOCHASTIC FINITE ELEMENT EQUILIBRIUM EQUATIONS (FSFEEE)

吕恩林   

  1. Department of Engineering Mechanics, Chongqing University, Chongqing 630044, P. R. China
  • 收稿日期:1996-05-24 出版日期:1997-07-18 发布日期:1997-07-18
  • 基金资助:

    Project supported by the National Natural Science Foundation of China

PERTURBATIONAL SOLUTIONS FOR FUZZY-STOCHASTIC FINITE ELEMENT EQUILIBRIUM EQUATIONS (FSFEEE)

Lü Enling   

  1. Department of Engineering Mechanics, Chongqing University, Chongqing 630044, P. R. China
  • Received:1996-05-24 Online:1997-07-18 Published:1997-07-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

摘要: In this paper. the random interval equilibrium equations (RIEE) is obtained by λ-level cutting the fuzzy-stochastic finite element equilibrium equations (FSFEEE).Based on the relations between the variables of equilibrium equations, solvting RIEE istransformed into solving two kinds of general random equilibrium equaltions (GREE).Then the recursive equations of evaluaing the random interval displacement is derivedfrom the Small-parameter perturbation theory. The computational formulae of statisticalcharacteristic of the fuzzy random displacements, the fuzzy random strains and thefuzzy random stresses are also deduced in detail.

Abstract: In this paper. the random interval equilibrium equations (RIEE) is obtained by λ-level cutting the fuzzy-stochastic finite element equilibrium equations (FSFEEE).Based on the relations between the variables of equilibrium equations, solvting RIEE istransformed into solving two kinds of general random equilibrium equaltions (GREE).Then the recursive equations of evaluaing the random interval displacement is derivedfrom the Small-parameter perturbation theory. The computational formulae of statisticalcharacteristic of the fuzzy random displacements, the fuzzy random strains and thefuzzy random stresses are also deduced in detail.

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