基于混合离散复合形法的工程优化设计

针对工程中大量存在的设计变量为离散型和连续型的混合离散变量优化设计问题,提出了连续变量及非均匀离散变量的均匀离散化处理方法,并借鉴离散变量的搜索优化法,在连续变量的复合形法基础上,探讨了一种求解有约束非线性混合离散变量的优化设计问题的方法———混合离散复合形法。算例表明,混合离散复合形法可用于工程结构优化设计中,其结果不需圆整,解题可靠性和效率大大提高。

Optimum design of engineering structure based on mixed-discrete complex shape method

Based on continuous variables complex shape method and discrete variables searching optimum method, this paper provided the method of separating continuous variables and non-uniform discrete variables uniformly, and suggested mixed complex shape method which provides the solution to equation of optimum design of constrained nonlinear of mixed discrete variables for finding a solutions to many problems of discrete and continuous optimum design in engineering. The example shows that the mixed discrete complex shape method can be applied to the optimization design of engineering structure. The optimal results needn't be approximated. The efficiency and reliability of optimum design are improved.