基于组合函数响应面的桥梁有限元模型修正

doi:10.3969/j.issn.1674-0696.2015.05.04

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摘要: 针对基于响应面的桥梁有限元模型修正方法进行研究，采用2阶多项式和高斯径向基函数构造组合函数，通过ANSYS重复试验获得样本数据，利用最小二乘法拟合回归响应面，在其基础上构造目标函数并使用MATLAB实现优化求解，该方法具有拟合精度高、抗噪能力强、计算量可控等特点。通过室内悬臂梁模型实验验证、贝雷梁桥的模型修正与动力响应分析，发现修正后所得有限元模型能够较准确地再现实测结果，表明其能够反映出实际结构的真实状态，证实了该方法的有效性。

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	张松涵
	高芳清
	张伟伟

关键词 ：桥梁工程, 模型修正, 响应面, 径向基函数, 贝雷梁桥, 动力响应

Abstract：The bridge finite element model updating method based on the bridge response surface was studied. The combining function was established by quadratic polynomial and gauss RBF function. The sample data was obtained through ANSYS duplicate test. The regression response surfaces were fitted by least square method. According to the above study, the objective function was constructed and optimized by MATLAB. The proposed method had features, such as high fitting accuracy, strong anti-noise ability and controllable computational complexity. Through the model experiment of cantilever beam, model updating and dynamic response analysis of Bailey bridge, the measured results were reconstructed accurately by the updated models. It was showed that the real state of the actual structure could be reflected, which proved the validity of the proposed method.

Key words ： bridge engineering, model updating, response surface, RBF function, Bailey bridge, dynamic response

收稿日期: 2014-11-05

PACS:	U441+5
	TB115

作者简介: 张松涵(1988—)，男，四川成都人，博士研究生，主要从事桥梁结构动力学方面的研究。E-mail: songhan0506@hotmail.com。

引用本文:

张松涵，高芳清，张伟伟. 基于组合函数响应面的桥梁有限元模型修正[J]. 重庆交通大学学报（自然科学版）, 2015, 34(5): 18-24.
Zhang Songhan, Gao Fangqing, Zhang Weiwei. Bridge Finite Element Model Updating Based on Combination Function Response Surfaces. Journal of Chongqing Jiaotong University(Natural Science), 2015, 34(5): 18-24.

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http://xbzk.cqjtu.edu.cn/CN/10.3969/j.issn.1674-0696.2015.05.04 或 http://xbzk.cqjtu.edu.cn/CN/Y2015/V34/I5/18

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