结构刚度矩阵的一种反演方法

A METHOD FOR INVERSE ANALYSING THE MATRIX OF STRUCTURAL STIFFNESS

本文在总结线弹性结构刚度矩阵识别(计算)方法的基础上,提出了一种新的反演刚度矩阵的方法,即利用实测的结构各阶固有频率和各阶振型数据,以刚度矩阵中的各元素作为未知数,代入特征值方程,逐一解出刚度矩阵内各元素.该方法概念清晰、简单,应用方便,结果准确可靠,适宜于自由度数在10以下的结构或结构试验模型的刚度矩阵的识别。

To identify the stiffness matrix of a structure is difficult. In this paper a simple but effective method for inverse analysing the stiffness matrix is developed. With simple mode test, we can get the natural frequencies and mode shapes of the structure. After substituting the data of mass matrix, natural frequencies and mode shapes into the characteristic equation and solving the equation, we will get every stiffness coefficient of the structure.