Identification of Characteristic Matrices in Vibration Equation
Identification of Characteristic Matrices in Vibration Equation
复制标题
振动方程特征矩阵的辨识
DOI：
10.2534/jjasnaoe1968.1990.191
复制
发表时间：
1990
期刊：
影响因子：
--
通讯作者：
Kazuoki Muranaka
中科院分区：
文献类型：
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作者：
J. Michimoto;Kazuoki Muranaka
振动方程中的质量矩阵、阻尼矩阵和刚度矩阵称为振动系统的特征矩阵。本文提出了一种由振动系统的响应（传递函数）识别特征矩阵的新方法。在该方法中，特征矩阵的初始值由Ookuma和Nagamatu的第一次报告估计，并进行修改，以最大限度地减少实际和估计的传递函数之间的误差。为了验证所提方法的准确性，利用给定的特征矩阵计算传递函数，并从传递函数中再次辨识出特征矩阵。识别的特征矩阵与原始的比较，可以看出，当传递函数包含足够的信息的振动系统之间的一个很好的协议。当传递函数中包含的振动系统信息不足时，用传递函数进行辨识，发现其拟合性较好。然而，所识别的特征矩阵与真正的矩阵有很大的不同。
The mass, the damping and the stiffeness matrices in the equation of vibration are called as the characteristic matrices of a vibration system. In this paper, a new method to identify the characteristic matrices from the response of the vibration system (transfer function) is proposed. In this method, the initial value of characteristic matrices are estimated by the 1st report of Ookuma and Nagamatu, and modified so as to minimize the error between the actual and the estimated transfer function. This modification is iterated, and stopped when the error becomes minimum or the curve fit of the transfer function is sufficient.In order to confirm the accuracy of the proposed method, the transfer function is calculated using the given characteristic matrices, and from its transfer function the characteristic matrices are again identified. The identified characteristic matrices are compared with the original ones, and a good agreement can be seen between them when the transfer function contains sufficient information about the vibration system. When the transfer function containing insufficient information about the vibration system is used for identification, the fitness of transfer function is found be good. However the identified characteristic matrices are considerably different from true matrices.