遗传算法在离散变量结构优化设计中的应用

Application of Genetic Algorithms in Structural Optimization Design with Discrete Variables

以三杆桁架结构优化设计演示了遗传算法在离散变量优化设计中的应用.优化结果与传统结构优化设计结果相比较,表明遗传算法的有效性.运用遗传算法求解十杆超静定桁架结构优化问题.针对三杆、十杆桁架结构分析了群体规模大小对算法收敛的影响,说明群体规模的选取是与染色体长度密切相关的.

The application of genetic algorithm in optimization design of structures with discrete variables is presented with an example of optimization design for threebar hyper static truss structures with discrete variables. The comparison between the result obtained by traditional method and that by genetic algorithm indicates that genetic algorithm is more effective for structural optimization with discrete variables. Genetic algorithm is also used to solve a tenbar truss structure with discrete variables. The effect of population on convergence of the algorithm is analyzed for the three and tenbar truss structures. The result reveals that the rational selection of the population is closely related with the chrome length.