用试验数据修正混合的阻尼矩阵与刚度矩阵  

Calibration Mixed Damping Matrix and Stiffness Matrix with Experimental Data

作　　者：周硕[1] 杨帆 Zhou Shuo;Yang Fan(Science College,Northeast Electric Power University,Jilin Jilin 132012)

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《东北电力大学学报》2019年第2期87-92,共6页Journal of Northeast Electric Power University

基　　金：国家自然科学基金(61672149)

摘　　要：研究用试验数据修正振动系统的双对称阻尼矩阵和对称次反对称刚度矩阵,利用二次特征值反问题的理论和方法说明了问题的可解性,借助正交基的方法将约束矩阵问题转化为常见的非约束问题,进而对首1的二次特征值反问题进行求解.并讨论了给定任意矩阵的最佳逼近问题,给出问题的最佳逼近解.This paper considers the calibration of the bisymmetric damping matrix and symmetric and anti-symmetric stiffness matrix of the vibration system with experimental data,Based on the theory and method of inverse quadratic eigenvalue problem to explain the solvability of the problem,Transform the constraint matrix problem into a unconstraint problem by means of orthogonal basis,Then solve of the inverse monic quadratic eigenvalue problems.The optimal approximation problem for a given arbitrary matrix is discussed and the optimal approximation solution to the problem is given.

关 键 词：二次特征值反问题 双对称矩阵 对称次反对称矩阵 正交基 

分 类 号：O241.6[理学—计算数学]