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基于响应面法的五心底结构形状优化
引用本文:杜家政,隋允康,阳志光,龙连春.基于响应面法的五心底结构形状优化[J].计算力学学报,2011,28(6):839-843.
作者姓名:杜家政  隋允康  阳志光  龙连春
作者单位:1. 北京工业大学机械工程与应用电子技术学院,北京,100124
2. 北京宇航系统工程研究所,北京,100076
基金项目:国家自然科学基金(10872012);大连理工大学工业装备结构分析国家重点实验室基金(GZ0819);湖南大学汽车车身先进设计制造国家重点实验室开放基金(30715002);高校博士点基金(20060005010);北京市教委(KM201110005014)资助项目.
摘    要:三心底结构是国防、航空及航天等领域经常采用的结构,其旋转母线是由三段弧线组成的,对应着三个圆心,故得名三心底。三心底结构可调整的参数变量少,优化潜力小。根据三心底的形状推广出五心底结构,增加可调整的参数变量,然后对其进行优化。将响应面方法与模型参数化相结合,建立了以结构重量为目标及以结构强度为约束的形状优化模型。根据结...

关 键 词:响应面法  五心底结构  形状优化  二次开发
收稿时间:2009/10/15 0:00:00
修稿时间:2010/10/2 0:00:00

Shape optimization of five-center shell structure based on response surface method
DU Jia-zheng,SUI Yun-kang,YANG Zhi-guang and LONG Lian-chun.Shape optimization of five-center shell structure based on response surface method[J].Chinese Journal of Computational Mechanics,2011,28(6):839-843.
Authors:DU Jia-zheng  SUI Yun-kang  YANG Zhi-guang and LONG Lian-chun
Institution:College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China;College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China;Beijing Institute of Astronautical Systems Engineering, Beijing 100076, China;College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
Abstract:Three-center shell structure is often adopted in the domain of national defense,aviation and spaceflight,and so on.The generatrix of three-center shell structure is composed of three arcs with three centers,so the name is called.The three-center shell structure has few adjustable parameter variables and less potential of optimization.The three-center shell structure is developed to five-center shell structure to increase the adjustable parameter variables,and then to optimize the structure.Combining the response surface method and the parameterized model,the model with structural weight as object function and structural strength as constraint is built.According to the structural shape,the independent design variables are selected.The analytical expression of the structural weight and the first derivative of the structural weight to the design variables are deduced to get the one-order Taylor expression.Adopting the response surface method to obtain the one-order expression of the maximal stress to the design variables,the shape optimization model in linear programming form is built.The analysis model is built by programming with MSC/PCL (Patran Command Language),and the parameters about design variables are parameterized.The structure is continually modified in the process of iteration,and the optimal design is obtained at last.The numerical examples show that the method is very flexible and can be used widely,and the optimization results are stable and exact.
Keywords:response surface method  five-center shell structure  shape optimization  secondly development
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