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基于多重测点数目标函数族的结构损伤识别方法
引用本文:张立涛,李兆霞,费庆国.基于多重测点数目标函数族的结构损伤识别方法[J].地震工程与工程振动,2008,28(6).
作者姓名:张立涛  李兆霞  费庆国
作者单位:东南大学土木工程学院,江苏,南京,210096
基金项目:国家自然科学基金项目(50538020); 江苏省博士后科研基金资助项目(0501006A)
摘    要:基于加速度时域测试数据进行结构损伤识别计算时,所用测试数据的点数必须足够多才能够使识别有效,但往往又容易出现收敛到局部极小解的情况。为解决这一问题,本文提出了基于多重测点数目标函数族的结构损伤识别方法;所谓多重测点数目标函数族,即由不同点数的测试数据出发构造一族目标函数,以取代传统的基于单一点数的目标函数;迭代计算时采用了:Tikhonov正则化技术以抑制解答的病态性。以Benchmark结构为算例,分析了两种基于单一点数的损伤识别计算难以收敛到正确解答的原因;并考证了文中提出的方法。计算结果表明:基于多重测点数目标函数族的结构损伤识别方法,使得识别计算易于收敛到正确解答;从而证明了本文提出的方法是有效的。

关 键 词:结构损伤识别  时域方法  多重测点数目标函数族  Tikhonov正则化  数值仿真

Structural damage identification based on a set of objective functions with multi-number of measured data
ZHANG Litao,LI Zhaoxia,FEI Qingguo.Structural damage identification based on a set of objective functions with multi-number of measured data[J].Earthquake Engineering and Engineering Vibration,2008,28(6).
Authors:ZHANG Litao  LI Zhaoxia  FEI Qingguo
Abstract:When damage identification is carried out by using the measured data of accelerations,adequate number of measured data are required so as to give a valid result of identification,which however makes it easy for iterative calculation to converge to local minima.In order to solve this problem,a new method of structural damage identification was proposed on the basis of a set of objective functions with multi-number of measured data.The developed objective functions were made up with different number of the me...
Keywords:structural damage identification  identification based on measured data in time domain  a set of objective functions based on multi-number of measured data  Tikhonov regularization technique  numerical simulation  
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