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随机参数桁架结构的有限元与可靠性分析

马洪波;陈建军;崔明涛;高伟;刘伟   

  1. (西安电子科技大学 机电工程学院, 陕西 西安 710071)

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2003-02-20 发布日期:2003-02-20

Analysis of the finite element and reliability for stochastic truss structures

MA Hong-bo;CHEN Jian-jun;CUI Ming-tao;GAO Wei;LIU Wei

  

  1. (School of Mechano-electronic Engineering, Xidian Univ., Xi'an 710071, China)
  • Received:1900-01-01 Revised:1900-01-01 Online:2003-02-20 Published:2003-02-20

摘要: 对随机参数桁架结构在随机荷载作用下的有限元分析方法进行了研究.分别或同时考虑了结构的物理参数、构件的几何尺寸和作用荷载幅值等的随机性;应用代数综合法,对结构位移和应力响应随机变量的数字特征计算表达式进行了推导,进而得到结构各响应量的可靠度指标.通过算例表明文中提出的基于概率的随机桁架结构分析与可靠性分析方法的合理性与可行性.

关键词: 随机参数, 随机荷载, 桁架结构, 结构有限元分析, 可靠性分析

Abstract: This paper deals mainly with the analysis method of teh finite element and reliability for truss structures with random parameters under random loads action. The stochastic factors of the structural physical parameters, geometry dimensions and the stochastic loads applied on structures are considered respectively or simultaneously in the analysis. The algebra synthesis method is employed to obtain the computational expressions for the numerical characteristic of the structural responses(displacements and stresses). And then the reliability indexes of the structural responses are obtained. Finally, the rationality and the feasibility of the method are confirmed by an example.

Key words: random parameters, random loads, truss structures, structural finite element analysis, reliability analysis

中图分类号: 

  • TU323.4