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桁架结构概率-非概率混合可靠性拓扑优化
引用本文:乔心州,魏琳娟,仇原鹰.桁架结构概率-非概率混合可靠性拓扑优化[J].应用力学学报,2011,28(4).
作者姓名:乔心州  魏琳娟  仇原鹰
作者单位:1. 西安科技大学,西安,710054
2. 西安电子科技大学电子装备结构教育部重点实验室,西安,710071
基金项目:教育部留学回国人员实验室基金; 陕西省教育厅科研计划; 西安科技大学科研培育基金
摘    要:研究了桁架结构概率-非概率混合可靠性拓扑优化问题。建立了以结构重量为目标函数、混合可靠性指标为约束条件的拓扑优化数学模型,针对强度为随机变量和应力为区间变量、强度为区间变量和应力为随机变量两种情况推导了可靠性指标对设计变量的灵敏度计算公式。实例结果表明:混合可靠性拓扑优化的截面尺寸和结构重量相对于非概率可靠性优化都更大,使得结构除了能够容许载荷存在一定变异程度外,也允许位移和强度存在一定变异程度。

关 键 词:拓扑优化  结构可靠性  桁架  混合可靠性指标  指标灵敏度

Probabilistic and non-probabilistic hybrid reliability-based topology optimization of truss structures
Qiao Xinzhou Wei Linjuan Qiu Yuanying.Probabilistic and non-probabilistic hybrid reliability-based topology optimization of truss structures[J].Chinese Journal of Applied Mechanics,2011,28(4).
Authors:Qiao Xinzhou Wei Linjuan Qiu Yuanying
Institution:Qiao Xinzhou1 Wei Linjuan1 Qiu Yuanying2(School of Mechanical Engineering,Xi'an University of Science and Technology,Xi'an,710054,China)1(Ministry of Education Key Lab of Electronic Equipment Structure,Xidian University,Xi'an 710071,China)2
Abstract:The problem of probabilistic and non-probabilistic hybrid reliability-based topology optimization of truss structures is investigated.The probabilistic and non-probabilistic hybrid reliability-based optimization model of truss structures is established,in which the structural weight is taken as the objective function,and the hybrid reliability index is taken as the constraint condition.The sensitivity of hybrid reliability index for design variables is derived for the cases that the strength is a random var...
Keywords:topology optimization  structural reliability  truss structure  hybrid reliability index  index sensitivity  
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