基于自适应遗传算法的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 ,采用自适应的交叉和变异算子 ,提高优化分析效率 ,改善优化分析结果。算例分析表明所提出的方法是有效的。

Continuum Structural Topology Optimization Using Genetic Algorithm

In continuum structural topology optimization, genetic algorithm (GA) is used served as optimization method, and binary chromosome of GA is used to represent a topology structure. In addition, finite element method can be employed to obtain the displacement, stress and strain of each node, which is included in constraint conditions. In order to improve the efficiency and make the optimization results better, the self-adaptive crossover operator and mutation operator were put forward. As an example, a cantilever plate was optimized to show the rationality and efficiency of the method.