桥梁结构基于高维模型拟合响应面的参数识别

Bridge Structural Parameters Identification Method Based on HDMR Response Surface

摘要:

为提高响应面法在桥梁结构参数识别中的计算精度，提出了基于高维模型拟合 (high dimensional model representation，HDMR) 响应面的参数识别方法。即采用HDMR响应面法拟合结构响应面，并基于该响应面进行结构参数的识别。研究了HDMR响应面的基本构造方法，并阐述了在响应面基础上通过有约束最小二乘优化实现参数识别的一般过程。以一座连续梁及一座独塔斜拉桥为算例进行分析，探讨了本文方法在结构参数识别中的计算精度及效率。结果表明，相比传统响应面法，本文方法在计算精度上具有显著优势。同时也验证了本文方法在大型桥梁结构参数识别中的可靠性和适用性。

Abstract:

A method for structural paramters identification based on HDMR (High Dimentional Model Representation) response surface is proposed to improve the response surface method which applied in bridge structure parameters identification. Using the HDMR response surface method the implicit function relationships between structural parameters and responses are obtained which then applied to identify the structural parameters through a constrained least square optimization strategy. The construction process of HDMR response surface is researched and based on which the implementation program of structural parameters identification is presented in this paper. Numerical examples, which contain a continuous beam structure and a single pylon cable-stayed bridge, are given to investigate the computational accuracy and efficiency of the proposed mehod in structural parameters identification. The analysis results show that, compared to the traditional response surface method, the proposed method possesses a remarkable advantage in computational accuracy. And it is verified that the proposed method is reliable and applicable in the parameters identification of large bridge structures.