基于RBF-HDMR的高强钢材料参数反求

中国机械工程 ›› 2014, Vol. 25 ›› Issue (20): 2801-2805.

基于RBF-HDMR的高强钢材料参数反求

殷为洋1;王琥1;冯慧1;李恩颖2;汤龙1

1.湖南大学汽车车身先进设计与制造国家重点实验室,长沙,410082
2.中南林业科技大学,长沙,410004

出版日期:2014-10-25 发布日期:2014-10-24
基金资助:
国家自然科学基金资助项目(11172097,11302266);新世纪优秀人才支持计划资助项目(NCET-11-0131);国家高技术研究发展计划(863计划)资助项目(2012AA111802)

Inverse Determination of High-Strength Steel Parameters Based on RBF-HDMR Metamodel Technique

Yin Weiyang1;Wang Hu1;Feng Hui1;Li Enying2;Tang Long1

1.State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha,410082
2.Central South University of Forestry and Technology Changsha,410004

Online:2014-10-25 Published:2014-10-24
Supported by:
National Natural Science Foundation of China（No. 11172097,11302266）;Program for New Century Excellent Talents in University of Ministry of Education of China（No. NCET-11-0131）;National High-tech R&D Program of China (863 Program) （No. 2012AA111802）

摘要/Abstract

摘要：

将RBF(radial basis function)-HDMR(high dimensional model representation)近似模型技术应用到高强钢DP600的Johnson-Cook(JC)模型参数反求中，在落锤试验测得位移-时间曲线的基础上,建立了以计算机仿真结果与试验数据之间的误差为目标输出，待求参数为设计变量的近似模型。结合遗传算法反求出DP600钢板的JC模型参数，将反求的参数输入模型，计算得到的仿真位移曲线与试验结果对比表明，该近似模型方法具有较高的精度。

关键词: 应变率, 参数反求, 近似模型, HDMR

Abstract:

The RBF(radial basis function) HDMR metomodel technique was applied to the Johnson-Cook(JC) parameter inverse determination of a high-strength steel DP600. On the basis of the displacement-time curve measured during the experiments, the metamodel was established, which took the errors between simulation results and test data as the target outputs while took the parameters as the design variables. Combined with genetic algorithm(GA), JC model parameters of DP600 was inversely determined by using the metamodel, and the prediction based on the parameters shows high degree of consensus with the test results.

Key words: strain rate, parameter inverse, metamodel, high dimensional model representation(HDMR)

中图分类号:

U467

殷为洋, 王琥, 冯慧, 李恩颖, 汤龙. 基于RBF-HDMR的高强钢材料参数反求[J]. 中国机械工程, 2014, 25(20): 2801-2805.

Yin Weiyang, Wang Hu, Feng Hui, Li Enying, Tang Long. Inverse Determination of High-Strength Steel Parameters Based on RBF-HDMR Metamodel Technique[J]. China Mechanical Engineering, 2014, 25(20): 2801-2805.

参考文献

[1]钟志华,张维刚,曹立波,等.汽车碰撞安全技术[M].北京:机械工业出版社,2003.
[2]付锐,魏朗.汽车碰撞数值模拟中应变率效应问题的讨论[J].中国公路学报,1999,12(3):117-121.
Fu Rui,Wei Lang.Discussion on Stain Rate Effect in Numerical Simulation of Vehicle Crash[J].China Journal of Highway and Transport,1999,12(3):117-121.
[3]Altenhof W,Ames W.Strain Rate Effects for Aluminum and Magnesium Alloys in Finite Element Simulations of Steering Wheel Armature Impact Tests[J]. Fatigue & Fracture of Engineering Materials & Structures,2002, 25(12):1149-1156.
[4]American Society for Testing and Materials(ASTM).ASTM Standard E8M-08 Standard Test Methods for Tension Testing of Metallic Materials[S]. West Conshohocken,PA,USA:ASTM,1996.
[5]曹银锋，李光耀，钟志华。金属成型材料参数的反求技术[J]. 计算力学学报，2004,6(3):291-297.
Cao Yinfeng, Li Guangyao, Zhong Zhihua. Reverse Technology of Metal Forming Material Parameters[J]. Chinese Journal of Computational Mechanics,2004,6(3): 291-297.
[6]李恩颖.近似模型优化体系关键技术研究及应用[D].长沙:湖南大学,2009.
[7]Box G E P,Wilson K B.On the Experimental Attainment of Optimum Condition[J].Journal of the Royal Statistical Society, 1951,13(1):1-45.
[8]Lancaster P,Salkauskas K.Surfaces Generated by Moving Least Squares Methods[J].Mathematics of Computation, 1981, 37(155): 141-158.
[9]Sietsma J, Dow R J F. Creating Artificial Neural Networks That Generalize[J]. Neural Networks, 1991, 4(1): 67-79.
[10]Franke C,Schaback R.Solving Partial Differential Equations by Collocation Using Radial Basis Functions[J].Applied Mathematics and Computation,1998,93(1):73-82.
[11]Sobol I M.On Sensitivity Estimation for Nonlinear Mathematical Models[J].Matematicheskoe Modelirovanie, 1990, 2(1): 112-118.
[12]Rabitz H,Alis F.General Foundations of High-dimensional Model Representations[J].Journal of Mathematical Chemistry, 1999,25(2/3):197-233.
[13]Shan S,Wang G G.Metamodeling for High Dimensional Simulation-based Design Problems[J].Journal of Mechanical Design, 2010,132(5):051009-1-051009-11.
[14]Wang H,Tang L,Li G Y.Adaptive MLS-HDMR Metamodeling Techniques for High Dimensional Problems[J].Expert Systems with Applications,2011,38(11):14117-14126.
[15]汤龙,王琥,李光耀.Kriging-HDMR非线性近似模型方法[J].力学学报,2011,43(4):780-784.
Tang Long,Wang Hu,Li Guangyao.Nonlinear Metamodel Method Based on Kriging-HDMR Algorithm[J].Chinese Journal of Theoretical and Applied Mechanics,2011,43(4):780-784.