基于混合遗传算法的谐波齿轮传动优化设计

Optimization Design of Harmonic Transmission Based on Hybrid Genetic Algorithm

以谐波齿轮传动体积最小为优化设计目标,建立了混合离散变量优化设计数学模型。引入混沌移民算子,对基本遗传算法进行了改进,以维持群体的多样性,提高全局收敛能力。提出了一种设计变量的离散化处理方法,结合染色体编码的修正技术,在遗传算法中染色体按离散化后的设计变量进行离散搜索。开发了混合离散变量优化的改进遗传算法程序,给出了谐波齿轮传动的混合离散变量优化设计实例,所得优化设计参数符合设计规范,不需进一步处理就可直接用于制造。

A mathematical model of optimization design with discrete variables was established in order to minimize the volume of harmonic transmission. A hybrid genetic algorithm was proposed by introducing an evolution operator of chaos immigrant. The aim of chaos immigrant is to keep the diversity of chromosomes and to improve the global convergence of genetic algorithm. A manufacturing-oriented method of making design variables discrete was put forward. By integrating a method of modifying chromosome code into the hybrid genetic algorithm, the design variables were optimized according to chromosomes with discrete codes. An optimization design example of harmonic transmission was given, and it shows that the optimization result accords with the standard specifications of mechanical design and can be directly used in manufacture engineering.