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刘克龙,姚卫星,穆雪峰.基于Kriging代理模型的结构形状优化方法研究[J].计算力学学报,2006,23(3):344~348
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基于Kriging代理模型的结构形状优化方法研究
A method of structural shape optimization based on Kriging model
  修订日期:2004-05-08
DOI:10.7511/jslx20063063
中文关键词:  形状优化  试验设计法  Kriging方法  遗传算法
英文关键词:shape optimization,experimental design methods,Kriging model,genetic algorithms
基金项目:中国科学院资助项目
刘克龙  姚卫星  穆雪峰
南京航空航天大学航空宇航学院,南京210016
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中文摘要:
      建立了一种进行结构形状优化的工程方法。该方法利用试验设计法选取位置变量样本点,并对各个样本点对应的结构进行尺寸优化,然后根据样本点和尺寸优化结果建立Kriging代理模型,再利用遗传算法求出位置变量最优解.进而得到结构最优解。最后进行了15杆平面拱式桁架、悬臂梁和25杆空间桁架三个形状优化算例,算例分析结果表明:该方法思路清晰、适应性强、优化效果明显,具有较大的工程应用价值。
英文摘要:
      A structural optimization method for shape and size is built in this paper.In this method the samples of shape variables are created by experimental design methods,the responses of the structure corresponding to these samples are analyzed by FEM with size optimization method,the approximation model of Kriging which can be used to determine the responses of the structure is derived through the responses analyzed,the optimal locations of structural elements are found with genetic algorithms(GA) based on the approximation model,and,finally, the optimal sizes of structural elements corresponding to the optimal locations are found with FEM.A planar truss,a cantilever and a spatial truss are analyzed and optimized.The results of the three examples show that this method has good adaptation and the ability to find out approximate global optimal solutions,and it can be used in shape optimization of complicated structures conveniently.
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