正态分布连续体结构可靠性拓扑优化设计

对具有随机参数的连续体结构进行了拓扑优化设计,并考虑了随机参数满足正态分布的可靠性约束,获得优化结构的同时保证了结构的可靠度.根据可靠性理论的一次二阶矩方法,利用随机有限元求解了连续体结构的可靠度,将隐式的可靠度约束转化为等价的常规约束.将模式识别技术的K邻近(KNN)方法引入到连续体结构拓扑优化设计领域,对连续体结构进行了拓扑优化设计.根据该设计方法给出了计算示例,结果表明该设计计算方法是可行的,为工程设计提供了理论依据.

Reliability-Based Topological Optimization Design of Normal Distribution Continuum Structure

The continuum structure with stochastic parameters was designed by topological optimization.The reliability constraint of stochastic parameters under normal distribution was also considered to guarantee the reliability.Based on the first-order second-moment method of the reliability theory,the stochastic finite element method is used to analyze the continuum structural reliability.The implicit reliability constraint is transformed into the equal conventional constraint.The K-nearest neighbor method of the pattern recognition technique is introduced to the design domain of the continuum structure to carry on the topology optimization design.Finally,several calculation examples prove that the design method is feasible,and proves theory basis for engineering design.