一种改进的广义遗传算法及其在结构动力优化问题中的应用  

AN IMPROVED GENERALIZED GENETIC ALGORITHM AND ITS APPLICATION IN DYNAMIC OPTIMIZATION OF STRUCTURES

作　　者：燕乐纬[1] 陈树辉[1] 

机构地区：[1]中山大学应用力学与工程系,广州510275

出　　处：《工程力学》2010年第5期21-26,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(10672193)

摘　　要：该文提出了一种改进的广义遗传算法。算法中引入了异种机制以提高种群的多样性,在保证收敛速度的同时防止早熟收敛。该方法应用于随机风载荷作用下有应力约束的多参数结构动力响应优化问题,数值算例表明:异种机制能够有效地提高广义遗传算法收敛于全局最优解的概率并加快收敛速度;带有异种机制的广义遗传算法能够有效地求解复杂的结构动力优化问题。An improved generalized genetic algorithm is proposed in this paper. Heterogeneous strategy is proposed to increase the population diversity and to avoid premature while the convergence efficiency is ensured. This algorithm is used for multi-parameter dynamic optimization of the structure which is under random loads and has stress constrains. Numerical examples demonstrated that heterogeneous strategy can improve the probability of convergence to global optimal solution and the improved generalized genetic algorithm can be used to solve complicated structural dynamic optimization problems effectively.

关 键 词：广义遗传算法 动力响应优化 异种机制 随机载荷 应力约束 

分 类 号：TU318[建筑科学—结构工程] O242.21[理学—计算数学]