| 一种耦合区间-随机混合可靠性分析方法 |
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| 引用本文： | 谢少军,潘柏松,罗路平,项涌涌.一种耦合区间-随机混合可靠性分析方法[J].中国机械工程,2019,30(14):1673. |
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| 作者姓名： | 谢少军 潘柏松 罗路平 项涌涌 |
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| 作者单位： | 浙江工业大学机械工程学院，杭州，310014 |
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| 基金项目： | 国家自然科学基金资助项目 (51475425);
浙江省自然科学基金资助项目(LQ18E050014) |
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| 摘 要： | 考虑区间变量的耦合性，基于多椭球模型提出了一种高效的耦合区间-随机混合可靠性分析方法。为解决耦合区间变量导致的可靠性分析计算效率低的问题，采用序列迭代分析方法，将混合可靠性分析的双层耦合循环分解为概率分析与区间分析，并结合多项式插值法提出了一种适用于极限状态函数关于耦合区间变量单调与非单调两种工况的高效区间分析算法。算例结果表明，所提的混合可靠性分析方法具有较好的计算精度与计算效率。
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| 关 键 词： | 可靠性分析 多椭球模型 耦合区间变量 区间分析算法 |
A Hybrid Reliability Analysis Method with Mixture of Random and Dependent Interval Variables |
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| XIE Shaojun,PAN Baisong,LUO Luping,XIANG Yongyong.A Hybrid Reliability Analysis Method with Mixture of Random and Dependent Interval Variables[J].China Mechanical Engineering,2019,30(14):1673. |
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| Authors: | XIE Shaojun PAN Baisong LUO Luping XIANG Yongyong |
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| Affiliation: | College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou,310014 |
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| Abstract: | Considering the dependence between interval variables, an efficient hybrid reliability analysis method with the mixture of random and dependent interval variables was proposed based on the multi-ellipsoid model. To resolve the inefficiency of the hybrid reliability analysis due to dependent interval variables, a sequentially iterative strategy was adopted for decoupling the double-nest loop of the hybrid reliability analysis into the probability analysis and interval analysis. And an efficient interval analysis algorithm was developed by using polynomial interpolation, which was capable of efficiently handling the cases where the limit-state functions were monotonic or non-monotonic with respect to dependent interval variables.The results of numerical examples show that the proposed hybrid reliability analysis method has good accuracy and efficiency. |
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| Keywords: | reliability analysis multi-ellipsoid model dependent interval variable interval analysis algorithm |
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