局部结构动力修改的频率响应函数方法

本文提出一种计算结构修改后振动特性的频率响应函数方法。此法考虑结构修改时振动系统的物理参数矩阵(质量、刚度、阻尼)的同时变化,利用位置矩阵,将局部修改时产生的物理参数矩阵的增量部分分解表示。推导出修改后振动系统的频率响应函数矩阵,进而拟合出模态参数。此法对物理参数的改变量的大小可以任意,且计算过程简单。

Frequency Response Function Method of Local Structure Dynamical Modification

This paper puts forward a frequency response function method by which the dynamical characteristic of a structure modified can by culculated. It is considered in this method that the changes of physical parameter matrices (mass, damp, rigidity) are produced when structure is modified. Taking advantage of Bolean matrix, the increasing parts of physical parameter matrices which are produced by local modification are represented with decomposing forms; and the frequency response function matrix of modified system is derived. Afterward, the modal parameters of modified system are fitted. The advantages of the method are that increases of physcal parameter may be not limited and the calculating procedure is more simple. The calculated frequency response function is theoretically accurate.