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铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

第11卷    第1期    总第57期    2014年2月

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文章编号:1672-7029(2014)01-0001-09
基于径向基函数响应面方法的超大跨悬索桥有限元模型修正
郁胜1,周林仁2,欧进萍1,3

(1. 大连理工大学 建设工程学部,辽宁 大连 116024;
2. 华南理工大学 土木与交通学院,广东 广州 510641;
3. 哈尔滨工业大学 土木工程学院,黑龙江 哈尔滨 150090
)

摘 要: 基于径向基函数响应面建模和遗传算法相结合的有限元模型修正方法,得到能反映结构真实状态的超大悬索桥有限元分析模型。首先利用灵敏度分析方法选取待修正参数和可用的特征量信息,以中心复合试验设计方法构造不同摄动水平下的待修正参数样本,通过有限元模型的静动力分析计算不同参数水平下的特征量样本;然后,以待修正参数样本和特征量样本为结构系统输入和输出,建立能逼近大型结构系统设计参数与特征量之间复杂隐式函数关系的径向基响应面模型;最后,基于建立的响应面模型,采用遗传优化算法对结构有限元模型进行修正。以国内湖南某超大跨钢桁架悬索桥为对象,采用高斯径向基函数响应面模型,基于成桥静动力试验监测数据,对该桥的三维有限元模型进行修正。研究结果表明:修正后的有限元模型能够更真实地反映结构的物理状态,较好地体现了该桥梁结构的真实静动力特性。

 

关键字: 径向基函数;响应面方法;遗传算法 ; 塔梁分离式悬索桥;模型修正

Finite element model updating of large suspension bridge based on radial basis function response surface
YU Sheng1, ZHOU Linren2, OU Jingping1,3

1.School of Civil Engineering, Dalian University of Technology , Dalian 116024 , China;
2.School of Civil Engineering and Transportation , South China University of Technology, Guangzhou 510641,China;
3.School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China

Abstract:An updating approach of finite element model based on genetic algorithm and radial basis function response surface modeling was applied in this paper to reflect the actual working state of large suspension bridge. Firstly, the sensitivity analysis method was employed to select the available characteristic information and the parameters to be amended. The central composite experimental design method was utilized to construct the sample of parameters to be amended at different perturbation levels and samples of characteristic parameters were analyzed by static and dynamic FEM method. Secondly, a radial basis function response surface model which approaches the implicit functional relationship between the design parameters and the characteristic parameters of large-scale structural systems was developed. Finally, the genetic optimization algorithm was taken to make modification on the radial basis function response surface model. Taking the large suspension bridge with steel truss in Hunan as an example, based on the static and dynamic test data, the FEM model of a large suspension bridge was modified based on the response surface model Gaussion radial basis function. The result indicates that the modified FEM model shows a more realistic physical state as well as static and dynamic response of the bridge.

 

Key words: radial basis function; response surface method; genetic algorithm; suspension bridge; model modification

ISSN 1672-7029
CN 43-1423/U

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