遗传算法在随机参数刚架结构概率优化设计中的应用

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。

Application of genetic algorithm in optimization design for random parameters rigid frame structures

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 finite element and 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, 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 optimization design model as well as the related method, which combines the genetic algorithm and the penalty function method, are valid and feasible.