工程结构优化设计的改进混合遗传算法

根据工程实际以及规范规定的约束条件和各项技术标准要求,建立了离散变量结构优化模型。针对遗传算法在迭代过程中经常出现的未成熟收敛、振荡、随机性太大和迭代过程缓慢等问题,采用一种新的遗传算子即单亲遗传算子对遗传算法进行了改进,并提出了离散变量结构优化设计的三等分割算法与遗传算法相结合的混合遗传算法。优化设计结果表明:改进混合遗传算法的收敛特性得到了很好的改善,既具有三等分割算法省时、高效、局部搜索能力强的特点,又具有遗传算法全局性好的特点,是高效、理想的工程结构优化设计方法。

Improved hybrid genetic algorithm for optimum design of engineering structures

On the basis of the practical engineering structure design, considering the constraints stipulated and demands for various engineering standards, a structure optimization model with discrete variables was built. In view of premature convergence, oscillation, and over-randomization in iterative process for the standard genetic algorithm(SGA), a new genetic operator called one parent genetic operator was proposed to improve SGA. Moreover, three equal partition algorithms(TEPA) combined with GA for structural optimization in discrete variables was given. The optimization results show that the convergence property of the improved hybrid genetic algorithm(IHGA) is improved with time saving, high efficiency, and strong local and global searching capability, which proves that the IHGA is a useful optimal engineering structure design method.