| 基于随机响应面法和弹性模量缩减法的结构可靠度分析 |
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| 引用本文： | 余波,杨显峰,杨绿峰. 基于随机响应面法和弹性模量缩减法的结构可靠度分析[J]. 华南理工大学学报(自然科学版), 2012, 40(4): 125-130,168 |
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| 作者姓名： | 余波 杨显峰 杨绿峰 |
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| 作者单位： | 1. 广西大学 工程防灾与结构安全教育部重点实验室,广西南宁,530004
2. 广西大学 工程防灾与结构安全教育部重点实验室,广西南宁530004;广西壮族自治区住房和城乡建设厅,广西南宁530028 |
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| 基金项目： | 国家自然科学基金资助项目，广西自然科学基金资助项目 |
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| 摘 要： | 结合随机响应面法和弹性模量缩减法,提出了一种基于随机极限承载能力的结构可靠度分析方法.首先根据极限分析理论和广义屈服准则,建立了确定性极限承载能力分析的弹性模量缩减法;然后基于逐步回归分析和线性无关原则,提出了结构随机响应分析的新型随机响应面法;最后结合弹性模量缩减法和随机响应面法确定了随机极限承载能力的展开式,进而提出了基于随机极限承载能力的可靠度分析方法.算例分析表明,该方法直接建立随机极限承载能力和结构功能函数的展开式,在结构可靠度分析中具有较高的计算精度和效率.
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| 关 键 词： | 随机极限承载能力 弹性模量缩减法 可靠度 随机响应面法 |
Structural Reliability Analysis Based on Stochastic Response Surface Method and Elastic Modulus Reduction Method |
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| Yu Bo , Yang Xian-feng , Yang Lü-feng. Structural Reliability Analysis Based on Stochastic Response Surface Method and Elastic Modulus Reduction Method[J]. Journal of South China University of Technology(Natural Science Edition), 2012, 40(4): 125-130,168 |
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| Authors: | Yu Bo Yang Xian-feng Yang Lü-feng |
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| Affiliation: | Yu Bo1 Yang Xian-feng1 Yang Lü-feng1,2 (1.Key Laboratory of Disaster Prevention and Structural Safety of the Ministry of Education,Guangxi University,Nanning 530004, Guangxi,China;2.Department of Housing and Urban-Rural Construction,Guangxi Zhuang Autonomous Region, Nanning 530028,Guangxi,China) |
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| Abstract: | Proposed in this paper is a reliability analysis method based on the stochastic ultimate bearing capacity,which combines the stochastic response surface method(SRSM) with the elastic modulus reduction method(EMRM).In the investigation,first,based on the limit analysis theory and the generalized yield criterion,an EMRM is developed to determine the ultimate bearing capacity.Then,an improved SRSM for stochastic response analysis is proposed based on the stepwise regression analysis and the linear independent criterion.Finally,a novel reliability analysis method is presented based on the expansion of the stochastic ultimate bearing capacity determined by the SRSM and the EMRM.Numerical example shows that the proposed method is of high accuracy and efficiency for structural reliability analysis because it helps to directly obtain the expansion of the stochastic ultimate bearing capacity and the structural performance function. |
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| Keywords: | stochastic ultimate bearing capacity elastic modulus reduction method reliability stochastic response surface method |
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