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基于Levenberg-Marquardt算法的桥梁结构静力参数识别
引用本文:谭冬莲,肖汝诚.基于Levenberg-Marquardt算法的桥梁结构静力参数识别[J].交通运输工程学报,2005,5(3):56-59.
作者姓名:谭冬莲  肖汝诚
作者单位:同济大学,桥梁系,上海,200092
摘    要:为了提高桥梁结构状态评估中结构参数识别的精度和稳定性,克服Gauss—Newton法不能有效地处理奇异和非正定矩阵以及对初始点要求苛刻的缺点,利用Levenberg—Marquardt法,通过在Gauss—Newton法的迭代矩阵中添加阻尼项,对迭代矩阵加以修正,通过Matlab自编程序实现对实际结构参数的优化求解。对一连续粱的数值模拟计算表明,在Gauss-Newton法迭代发散的情况下,Levenberg—Marquardt法的识别结果相对误差在10%左右,Levenberg—Marquardt法基本能实现对真实结构参数的识别,为结构进一步的状态评估提供了结构模型最基本的量化信息。

关 键 词:桥梁工程  桥梁结构  参数识别  Levenberg—Marquardt算法  静态应变  静态位移
文章编号:1671-1637(2005)03-0056-04
收稿时间:2005-03-17
修稿时间:2005年3月17日

Static parameter identification of bridge structure based on Levenberg-Marquardt algorithm
Tan Dong-lian,Xiao Ru-cheng.Static parameter identification of bridge structure based on Levenberg-Marquardt algorithm[J].Journal of Traffic and Transportation Engineering,2005,5(3):56-59.
Authors:Tan Dong-lian  Xiao Ru-cheng
Abstract:In order to improve the precision and stability of structural parameter identification in the procedure of bridge assessment, a heuristic method of using Levenberg-Marquardt algorithm to meliorate the singular iterative matrix of Gauss-Newton was put forward to overcome the harsh terms of initial value in Gauss-Newton algorithm, the numerical simulative test of a continuous beam with three spans was carried out. Simulation results show that the relative-effective error of bridge structure parameter identification is less than 10%, the application of Levenberg-Marquardt algorithm is feasible, its quantitative message can be put forward for bridge structure condition assessment. 1 tab, 1 fig, 8 refs.
Keywords:bridge engineering  bridge structure  parameter identification  Levenberg-Marquardt algorithm  static strain  static displacement
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