桁架结构优化设计的免疫克隆选择算法

Immune Clonal Selection Algorithm for Truss Structure Optimal Design

摘要:

为了解决带有应力约束和位移约束的桁架的尺寸优化问题，将免疫克隆选择算法应用于结构的尺寸优化设计.根据免疫学基本原理，在基本克隆选择算法的基础上引入精英策略，并给出合理的参数值.在桁架结构优化的数学模型中，采用惩罚函数法处理违反约束的情况.最后对几个经典的桁架进行了优化.数值结果表明，改进的免疫克隆算法收敛速度快、鲁棒性好，可以应用于桁架结构的优化设计.

关键词:免疫克隆选择算法; 桁架结构; 尺寸优化; 惩罚函数法; 精英策略

Abstract:

In order to solve the problem of size optimization of truss structures with stress and displacement constraints,immune clonal selection algorithm was adopted in this paper.Based on immunology theory,the Elitist Strategy was introduced to improve basic immune clonal selection algorithm,and the reasonable values of coefficients were proposed for improved algorithm.Penalty function method was used to deal with violated constraints in numerical model of truss structure optimal design.Several classical problems were solved by such improved algorithm.The numerical results show that the improved algorithm with good convergence and robustness can be applied to truss structure design.

Key words:immune clonal selection algorithm; truss structure; size optimization; penalty function method; elitist strategy