郭丽华, 汤文成, 袁 满. 基于并行混沌和复合形法的桁架结构形状优化[J]. 工程力学, 2011, 28(4): 151-157.
引用本文: 郭丽华, 汤文成, 袁 满. 基于并行混沌和复合形法的桁架结构形状优化[J]. 工程力学, 2011, 28(4): 151-157.
GUO Li-hua, TANG Wen-cheng, YUAN Man. SHAPE OPTIMIZATION FOR TRUSS STRUCTURES BASED ON PARALLEL CHAOS OPTIMIZATION ALGORITHM AND COMPLEX METHOD[J]. Engineering Mechanics, 2011, 28(4): 151-157.
Citation: GUO Li-hua, TANG Wen-cheng, YUAN Man. SHAPE OPTIMIZATION FOR TRUSS STRUCTURES BASED ON PARALLEL CHAOS OPTIMIZATION ALGORITHM AND COMPLEX METHOD[J]. Engineering Mechanics, 2011, 28(4): 151-157.

基于并行混沌和复合形法的桁架结构形状优化

SHAPE OPTIMIZATION FOR TRUSS STRUCTURES BASED ON PARALLEL CHAOS OPTIMIZATION ALGORITHM AND COMPLEX METHOD

  • 摘要: 针对多工况下受应力、位移和局部稳定性约束的桁架形状优化问题,提出了基于并行混沌优化算法和复合形法的混合优化算法。该算法综合利用了并行混沌的全局搜索能力,复合形法的快速局部搜索能力和混沌细搜索。首先,利用并行混沌优化算法快速搜索到全局最优解附近,然后应用改进复合形法以并行混沌的优化解为初始复形进行搜索,提高了最优解的搜索速度,最后应用混沌细搜索策略提高最优解的精度。两个典型数值算例验证了该混合优化方法对桁架形状优化问题的有效性和稳定性。

     

    Abstract: A new hybrid optimization algorithm based on a parallel chaos optimization algorithm (PCOA) and a complex method is presented to solve the shape optimization for truss structures, which aims at the minimum weight with stress, displacement and buckling constraints under multiple load cases. This new hybrid optimization algorithm takes advantages of the global search ability of PCOA, the fast local search ability of complex methods and chaos fine search functions. Firstly, PCOA is employed to rapidly obtain the optimal solutions which are near the global optimum, and then the optimum searching speed is accelerated by the complex method which takes the optimal solutions got by PCOA as the initial complex shape. Finally, the accurate optimal solution is achieved by the chaos fine search function. The effectiveness and stability of this hybrid algorithm to shape optimization for truss structures is demonstrated by two numerical examples.

     

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