工程结构优化设计的混合遗传算法

根据工程实际，充分考虑规范规定的约束条件和各项技术标准要求，建立了工程结构优化设计模型。为了改善遗传算法在迭代过程中经常出现未成熟收敛、振荡、随机性太大和迭代过程缓慢等缺点，提出一种离散变量结构优化设计的三等分割算法，并与标准遗传算法结合成混合遗传算法。对25杆框架结构优化设计，结果表明，这种混合遗传算法的收敛特性得到很好的改善，即发挥了三等分割算法省时、局部搜索能力强的特点，又发挥了遗传算法全局性好的特点，是有效的工程结构优化设计方法。

Hybrid Genetic Algorithm for Optimum Design of Engineering Structures

On the basis of the practical structure design of engineering, sufficiently considering the constraint conditions that the norm stipulates and the demand with various engineering standards, a model of building structural optimization is derived. In view of that the standard genetic algorithm (SGA) has such frequent shortcomings as premature convergence, oscillation and over-randomization in iterative process, a three equal partitions algorithm (TEPA) for structural optimization with discrete variables is proposed, and is combined with genetic algorithm (GA) in the paper. Taking structural scheme of 25-beam frame for example, the optimal results show that the convergent property of hybrid genetic algorithm (HGA) is improved and the method has the advantages of saving time, powerful locally searching capability of TEPA, and global searching capability of GA. HGA is an efficient optimal design method for engineering structure.