随机杆系结构的随机优化设计

研究了随机杆系结构在随机荷载作用下的随机优化设计问题。构建了以杆系截面积随机变量为设计变量、具有位移和应力概率约束的结构优化模型,并提出了将随机优化模型等价转化的求解策略;在同时考虑结构物理参数、几何尺寸和作用荷载随机性的情况下,给出了结构有限元和基于可靠性的灵敏度分析方法。算例表明:文中提出的随机结构分析和优化模型与设计方法是合理、可行和有效的。

Stochastic Optimization Design for Stochastic Skeletal Structures

The stochastic optimization method for skeletal structures with random parameters under random loads action is studied. The structural stochastic optimization design model based on probability is constructed. In finite element and reliability analysis, the randomness of the structural physical parameters, geometry dimensions and the stochastic loads applied on structures are all considered. A numerical example shows that the structural analysis and optimization design model and method in this paper are valid and feasible.