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工程科学与技术:2008,40(3):20-26
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Monte-Carlo随机有限元结构可靠度分析新方法
(四川大学 水利水电学院,四川 成都 610065)
The New Method of Structural Reliability Analysis by Monte-Carlo Stochastic Finite Element
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投稿时间:2007-12-14    
中文摘要: 基于条件抽样、对偶抽样及Neumann展开技术,同时,为试图一定程度地解决“计算模型的不确定性”问题,考虑到岩石、混凝土等材料的单轴抗压强度σc和双轴等压强度σcc不同的特性,将3参数统一强度理论引入随机有限元程序,建立了Monte-Carlo三维非线性随机有限元结构可靠性分析模型。模拟成果表明,采用该模型的模拟收敛性良好,模拟效率较高、成本较低,可靠指标β值精度满足实用要求,在大型复杂结构的设计及可靠度分析研究中具有实用价值。
Abstract:Based on the conditional expectation variance reduction, antithetic variable sampling and Neumann expansion technique,and in order to solve the problem of uncertainty of strength model partly,considering the different characteristics of uniaxial compressive strength σc and bidirectional isobaric strength σcc of concrete and rock materials, this paper applies 3 parameter unified strength theory to FEM program,and Monte Carlo 3 D nonlinear stochastic FEM model for structure reliability analysis is constructed. The result shows that this model has nice convergence, high efficiency, low cost and enough precision of index β for practice. The model is valuable for large-scale complex structure design and reliability analysis.
文章编号:20080304     中图分类号:    文献标志码:
基金项目:中国科学院山地灾害与地表过程重点实验室开放基金资助项目(08-10)
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王东,陈建康,王启智.Monte-Carlo随机有限元结构可靠度分析新方法[J].工程科学与技术,2008,40(3):20-26.
.The New Method of Structural Reliability Analysis by Monte-Carlo Stochastic Finite Element[J].Advanced Engineering Sciences,2008,40(3):20-26.