利用最简摄动——最优拟合法修正动力分析模型

 本文将文献1,2]的方法推广到非完备测量模态的情况,并叙述了修正模型的唯一性和完备性。同时,本文方法在一定程度上保持了文献1,2]方法的简单性特点,所以便于实时分析。

SIMPLEST MATRIX PERTURBATION/OPTIMAL FITTING METHOD FOR MODIFICATION OF DYNAMIC ANALYTIC MODEL

The method in Ref.1, 2] is derived basing upon complete measured modes, hence its derivation is unreasonable to uncomplete measured modes. In present paper the method is extended to uncomplete measured modes. which occur often in engineering. The paper describes. The paper describes the uniqueness of mass and stiffness matrices, M and K, of modified model obtained by simplest matrix perturbation method based solely on orthogonality conditions of mass and stiffness matrices. However such M and K matrices together with the measured normal mode shapes and natural frequencies could not satisfy the free vibration eigenequation. To overcome this drawback, either M or K is modified again by the optimal fitting method to be fit for the eigenequation.Implementation of present method is simple, since no trial-error and iterative processes are involved. Numerical examples show that accuracy of the method is good.