桁架尺寸、几何形状和拓扑优化的力法和遗传算法

Sizing,Geometry and Topology Optimization of Trusses via TorceMethod and Genetic Algorithm

结合能量和力法进行桁架重量的最小化,为此,采用遗传算法作为优化工具。提出的主要思想是减少输入变量。在采用遗传算法进行结构优化时,力法的引入非常有意义。该方法不需要求逆矩阵,只需在遗传算法中加入有限的变量,变量的个数等于结构超静定次数。通过几种不同类型的优化案例,验证了当前方法的有效性,并对不同优化技术的结果进行了比较。

In this article, a combination of energy and force method is used for minimizing the weight of the truss structures. Genetic algorithm is employed as an optimization tool for this purpose. The main idea proposed in here is the manner in which the input variables are reduced. Using the force method is of a considerable help in handling GA for the structural optimization. In the present method, there is no need to find the inverse of matrices, and only a limited number of variables are added to GA, which is equal to the degree of static indeterminacy of the structure. The efficiency of the present approach is illustrated through several exam- ples for different types of optimization, and the results are compared to those of different optimization techniques.