摘要
对随机参数刚架结构在随机荷载作用下基于概率的优化设计进行了研究。同时考虑结构的物理参数和作用荷载等的随机性;建立以杆截面积为设计变量、结构质量均值极小化为目标函数、具有刚度和强度可靠性约束的优化设计数学模型;通过可靠性约束等价显式化处理和引入罚函数,将原概率约束优化问题转化为无约束优化问题,利用遗传算法求解。算例表明:文中提出的模型和方法是合理有效的。
This paper studies the random parameters rigid frame structure optimization design based on reliability under random load action. The randomness of the physical parameters and the stochastic loads applied on structures are considered. Based on the finite element and the reliability analysis, the structural optimization design model based on probability is constructed. In which, the cross-section areas of the bars are considered as the design variables, and the mean-minimization of structure weight is considered as the objective with the reliability constraints of stiffness and strength. A numerical example shows that the structural analysis and the optimization design model as well as the related method, which combines the genetic algorithm and the penalty function method, are valid and feasible.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2004年第4期487-492,共6页
Chinese Journal of Computational Mechanics
基金
国防科技预研项目(20.2.12)
陕西省自然科学基金(D7010418)资助项目.
