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,提出一种新的遗传算子——转基因算子,用于对遗传算法的改进;提出一种离散变量结构优化设计的斐波那契算法,并与遗传算法结合在一起解决问题。优化设计结果表明,这种改进斐波那契遗传算法的收敛特性得到很好的改善,即发挥了斐波那契算法省时、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。
On the basis of the practical structure design of engineering, the constraint conditions that the norm stipulates and the demands of various engineering standards were sufficiently considered, and a model of structural optimization with discrete variables was 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 new genetic operator named transgenic operator had been developed for the purpose of improving genetic algorithm (GA). Moreover, A fibonacci algorithm (FA) for structural optimization with discrete variables was propesed, and some problems were solved by means of FA combined with GA. The results by exemplification show that the convergent property of improved fibonacci genetic algorithm (1FGA) is improved and the method has the advantages of saving time, powerfully locally searching capability of FA, and has the advantages of globally searching capability of GA, too. IFGA is an efficient optimal design method for engineering structure.