利用消去刚度法进行剪切型系统物理参数识别

Stiffness Elimination Algorithm for Physical Parameters Identification of Shearing Structures

提出了 1种能够比较准确地识别剪切型体系的结构参数 (各层质量和层间刚度 )的方法———消去刚度法。该方法从剪切型结构体系的特征值问题出发 ,利用剪切型结构系统质量矩阵和刚度矩阵的特殊形式 ,通过消去各层的刚度系数 ,得到了结构系统的各层质量比表达式。在结构总质量已知的情况下 ,仅利用系统的任意两阶模态信息就可以确定出各层质量 ,并进而计算出层间刚度 ,实现了结构物理参数的递推识别。数值模拟结果表明 ,该方法识别精度较高 ,便于工程应用 ,可以用于类似结构体系的物理参数的初步估计。

A new method of stiffness elimination algorithm is presented in this paper, which can be used to identify the structural physical parameters of shearing structures. Based on the eigenvalue problem and the special type of mass and stiffness matrices of shearing structure, the floor mass ratio of the structure is derived by eliminating the stiffness in the equation. Thus this method is named as Stiffness Elimination Algorithm(SEA). Assuming that the total mass of the structure is known, any two modes can be used to identify the floor mass recursively, and moreover, the stiffness of the structure can be determined. Numerical simulation of a seven-storey structure demonstrated that this method may identify the physical parameters with relatively high precision. SEA is convenient for engineering applications, which can be used in physical parameters identification of similar structures preliminarily.