Proper Application of a Kind of Matrix Construction Method in Physical Parameter Identification of Dynamic Model
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摘要: 通过矩阵奇异值分解得到矩阵构造的表达式,并将其应用于动力模型物理参数识别问题.根据矩阵构造表达式的特点,可以使参数识别模型降阶,降阶后的模型与原模型之间的数学和物理性质有明确的对应关系,避免了为忽略高阶频率而采用缩聚方法造成的误差.最后,数值算例获得满意的结果.Abstract: The expressions of matrix construction by using the singular value decomposition(SVD) are applied to the physics parameter identification of dynamic model.Then,based upon to the characteristics of a kind of matrix construction method,the orders of the parameter identification model can be reduced.After reducing,the mathematics and physics correspondence relations between the subsystem and the original system are distinct.the the condensation errors can be avoided.The numerical example shows the benefit of the presented methodology.
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Key words:
- dynamic model /
- parameter identification /
- inverse problem /
- vibration /
- matrix construction
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