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基于非概率集合可靠性的结构优化设计
引用本文:王晓军,杨海峰,邱志平,覃梓轩.基于非概率集合可靠性的结构优化设计[J].计算力学学报,2011,28(6):827-832.
作者姓名:王晓军  杨海峰  邱志平  覃梓轩
作者单位:北京航空航天大学固体力学研究所,北京,100191
基金项目:国家自然科学基金(10872017);高等学校学科创新引智计划(B07009)资助项目.
摘    要:在结构非概率集合可靠性模型的基础上,考虑结构系统中的参数不确定性,提出了基于非概率可靠性的结构优化方法。该方法将不确定量看作是区间数,通过区间运算得到结构的非概率可靠性,并以结构的非概率可靠性小于指定可靠性指标为约束条件,利用乘子法对结构的优化问题进行求解。最后应用本文方法对一桁架结构进行总质量优化,优化结果验证了本文...

关 键 词:结构可靠性优化  非概率集合可靠性  应力-强度非概率集合干涉模型  不确定性
收稿时间:2009/6/30 0:00:00
修稿时间:2010/10/15 0:00:00

Structrual optimization design based on non-probabilistic set-theoretic reliability
WANG Xiao-jun,YANG Hai-feng,QIU Zhi-ping and QIN Zi-xuan.Structrual optimization design based on non-probabilistic set-theoretic reliability[J].Chinese Journal of Computational Mechanics,2011,28(6):827-832.
Authors:WANG Xiao-jun  YANG Hai-feng  QIU Zhi-ping and QIN Zi-xuan
Institution:Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Abstract:Considering the uncertainties in structural system,the non-probabilistic reliability optimization method for structures is proposed based on the non-probabilistic set-theoretic model for structural reliability.In this method,the uncertainties are considered as interval numbers,and the non-probabilistic reliability of structures can be calculated by interval mathematics.Then the structural optimization problem,in which the non-probabilistic reliability index is taken as the constraint condition,can be solved through Lagrange multiplier method.The mass optimization for a truss structure is performed using the proposed method,and the optimization results illustrate its feasibility and effectiveness.
Keywords:structural reliability optimization  non-probabilistic set-theoretic reliability  non-probabilistic set-theoretic stress-strength interference model  uncertainties
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