具有不完全测量数据和无溢出现象的实二次模型修正问题的解

Solution to real quadratic model updating problems with incompletely measured data and no spillover

二次模型修正问题来自于振动工程,本文旨在解决具有不完全测量数据和无溢出现象的实二次模型修正问题。利用矩阵分块和矩阵列向量的方法,分别给出了实二次模型修正问题的可解条件和解的参数表达式,并给出了该问题的一个求解算法,最后给出了一个数值实例。数值实例说明所提出的方法的有效性,即利用测量到的部分谱信息修正一个实二次模型,使未被观测到的谱信息保持不变。

This paper aims to solve the real quadratic model updating problems with incompletely measured data and no spillover which usually appears in vibration engineering. By using the method of partitioned matrix and the columns of the matrix, the solvable conditions and parameter expression of the solution for the real quadratic model updating problem are proposed and an algorithm is constructed for the solutions of the problem. Finally a numerical example is given to illustrate the effectiveness of the proposed method. It shows that the real quadratic model updating problems can be updated by part of the spectral information measured, at the same time, remains the rest spectrum information unchanged.