基于模拟退火遗传算法的平面连续体结构的拓扑优化

采用遗传算法,用染色体基因映射结构离散化后的单元体,通过改变基因代码实现连续结构的拓扑。优化过程中,利用遗传算法进行结构优化,通过有限元技术对结构进行建模和分析。在遗传算法中,引入模拟退火的思想,实时调整结构优化的适应度函数,改善优化分析中个体所处的生存环境,提高优化分析效率,获得较优的结构拓扑效果。算例分析表明所提出的方法是有效的。

Continuum Structural Topology Optimization Using Simulated Annealing Genetic Algorithm

In continuum structural topology optimization,Genetic Algorithm (GA) was served as optimization method,binary chromosome of GA was employed to represent a topology structure,and finite element method was used to obtain the displacement,stress and strain of each node,which was included in constraint conditions.In order to improve the efficiency and to make the optimization results better,the simulated annealing technique was embedded with genetic algorithm.The method could adjust the function during optimization.A cantilever plate,as an example,was optimized to show the efficiency of the method.