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唐文艳 袁清珂. 改进的遗传算法求解桁架的形状优化[J]. 力学学报, 2006, 38(6): 843-849. DOI: 10.6052/0459-1879-2006-6-2006-056
引用本文: 唐文艳 袁清珂. 改进的遗传算法求解桁架的形状优化[J]. 力学学报, 2006, 38(6): 843-849. DOI: 10.6052/0459-1879-2006-6-2006-056
Wenyan Tang, Qingke Yuan. Improved genetic algorithm for shape optimization of truss structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(6): 843-849. DOI: 10.6052/0459-1879-2006-6-2006-056
Citation: Wenyan Tang, Qingke Yuan. Improved genetic algorithm for shape optimization of truss structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(6): 843-849. DOI: 10.6052/0459-1879-2006-6-2006-056

改进的遗传算法求解桁架的形状优化

Improved genetic algorithm for shape optimization of truss structures

  • 摘要: 提出将改进的遗传算法用于优化具有离散尺寸、连续形状变量的桁架重量.考虑到离散和连续变量的本质,提出了混合编码方法,其中包括二进制和实数编码,整数和实数编码. 采用了凝聚选择法------基于约束和适应度值双重标准,完全适应约束问题的本质. 竞争保留最优个体方法延长了优良个体的寿命,使好基因有更大的机会遗传给下一代. 算例表明改进的遗传算法是可行且有效的.

     

    Abstract: This paper presents an improved genetic algorithm (GA) tominimize the weight of a truss with discrete sizing, continuous shape variables.Because of the nature of discrete and continuous variables, mixed codingschemes are proposed, including binary and float coding, integer and floatcoding. Surrogate reproduction is developed to select good individuals tomating pool on the basis of constraint and fitness values, taking fullaccount of the character of the constrained optimization. This paper proposes anew strategy of creating next population by competing between parent andoffspring populations based on constraint and fitness values; so that thelifetime of the excellent gene is prolonged. Standard examples are solved,numerical solutions are shown to be better than those in the literature.

     

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