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基于Neumann展开技术及重要抽样法的Monte-Carlo随机有限元结构可靠度分析新方法
THE NEW METHOD OF STRUCTURAL RELIABILITY ANALYSIS BY MONTE-CARLO STOCHASTIC FINITE ELEMENT BASED ON NEUMANN EXPANSION TECHNIQUE AND IMPORTANT SAMPLING
【Author】 Wang Dong;Chen Jian-kang;Wang Qi-zhi College of Water Resource and Hydraulic Engineering, Sichuan University, Chengdu, China 610065
【机构】 四川大学水电学院;
【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,将三参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 Neumannexpansion technique, at the same time, in order to partly solve the problem of uncertainty of strength model,considering the different characteristics of uniaxial compressive strength σc and bidirectional isobaric strengthσcc of concrete and rock materials, this paper applies 3-parameter unified strength theory to FEM program, andMonte-Carlo 3-D nonlinear stochastic FEM model for structure reliability analysis is formed. The result showsthat it has nice convergence, high efficiency, low cost and enough precision of index β for practice. The model hasuseful value in large-scale complex structure design and reliability analysis.
- 【会议录名称】 第八次全国岩石力学与工程学术大会论文集
- 【会议名称】第八次全国岩石力学与工程学术大会
- 【会议时间】2004-10
- 【会议地点】中国成都
- 【分类号】TU311.4
- 【主办单位】中国岩石力学与工程学会