| 粒子群算法在结构非概率可靠性优化中的应用 |
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| 引用本文： | 郑严,程文明,程跃,张则强.粒子群算法在结构非概率可靠性优化中的应用[J].西南交通大学学报,2011(5):847-852. |
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| 作者姓名： | 郑严 程文明 程跃 张则强 |
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| 作者单位： | 西南交通大学机械工程研究所;成都大学工业制造学院; |
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| 基金项目： | 国家自然科学基金资助项目(51175442); 中央高校基本科研业务费专项资金资助项目(2010ZT03) |
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| 摘 要： | 为了解决实际工程中不确定性结构的可靠性优化问题,建立了以结构非概率可靠性指标和横截面积为约束条件、最小化结构质量为目标的优化模型.利用非概率集合理论中的凸模型方法,求出可靠性指标,提出了基于粒子群算法的结构非概率可靠性优化方法.算例分析结果表明:与参数取平均值时的结构确定性优化方法相比,容许非概率可靠性指标为零时的结构非确定性优化方法得到的结构质量误差仅为0.009%.随着容许非概率可靠性指标的增大,桁架结构横截面积及质量也相应增大;当容许非概率可靠性指标为1.5时,与梯度投影法优化结果相比,利用该方法优化后的结构质量减少了0.323%.
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| 关 键 词： | 粒子群算法 凸模型 非概率可靠性优化 可靠性指标 |
Application of Particle Swarm Optimization to Structural Non-probabilistic Reliability Optimization |
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| ZHENG Yan,CHENG Wenming,CHENG Yue,ZHANG Zeqiang.Application of Particle Swarm Optimization to Structural Non-probabilistic Reliability Optimization[J].Journal of Southwest Jiaotong University,2011(5):847-852. |
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| Authors: | ZHENG Yan CHENG Wenming CHENG Yue ZHANG Zeqiang |
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| Institution: | ZHENG Yan1,CHENG Wenming1,CHENG Yue2,ZHANG Zeqiang1(1.Research Institute of Mechanical Engineering,Southwest Jiaotong University,Chengdu 610031,China,2.School of Industrial Manufacturing,Chengdu University,Chengdu 610106,China) |
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| Abstract: | In order to solve the reliability optimization problem of uncertainty structures in actual engineering,an optimization model was established to minimize the structure mass with the constraints of its non-probabilistic reliability index and cross-sectional area.The non-probabilistic reliability index was derived using the convex model method for the probability set theory,and a method for structural non-probabilistic reliability optimization was proposed based on particle swarm optimization(PSO).The results ... |
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| Keywords: | particle swarm optimization convex model non-probabilistic reliability optimization reliability index |
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