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利用脉冲响应函数识别载荷的时序法
引用本文:时战,许士斌.利用脉冲响应函数识别载荷的时序法[J].振动工程学报,1995,8(3):235-242.
作者姓名:时战  许士斌
作者单位:大连理工大学工程力学系
摘    要:采用了Duhamel积分来求解比例阻尼离散结构系统的动态载荷识别问题。使载荷识别这一结构分析反问题变为用正分析方法来处理。在实测自由度数不少于待识别荷载自由度数的前提下,本方法克眼了识别精度受实测信息数目限制的缺点。经实验考证,该方法精度高。算例亦表明,同样的实测信息,本文方法将得到较传统方法[5]~[9]更理想的解答。本文用奇异值分解代替文献[5]~[9]中的最小二乘法。即使系数阵秩亏损,仍可求得最短范数的最小M乘解。

关 键 词:载荷识别  奇异值分解  时序分析  脉冲响应

Time Series Analysis for Load Identification by Using Impulse Response Function
Shi Zhan,Xu Shibin,Chu Liangcheng,Li Guihua.Time Series Analysis for Load Identification by Using Impulse Response Function[J].Journal of Vibration Engineering,1995,8(3):235-242.
Authors:Shi Zhan  Xu Shibin  Chu Liangcheng  Li Guihua
Abstract:The dynamic load subjecting to a discrete system with proportional damping is identified by means ofthe Duhamel integral so that the inverse problem in idenfification becomes a normal one. When the numberof measured signals isn't less than the number of loads to be identified, the proposed method overcomesthe shortcoming that the identification accuracy is limited by the number of the measured signals in traditional methods.The experiment shows that the method has higher accuracy than traditional ones. The examples showthat the better result will be obtained by the new method when the measured signals are same.In this paper the SVD (Singular Value Decomposition) method, rather than the LS (Least Square )method, is applied to solving the conflict equations so the new method can obtain the LS solution withleast norm even, when the radnke of coefficient matrix is deficit.
Keywords:load identification  singular value decomposition  time serices analysis  impulse response
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