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Eigenvalue reanalysis by improved perturbation

✍ Scribed by Toyoshiro Inamura

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
672 KB
Volume
26
Category
Article
ISSN
0029-5981

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✦ Synopsis

A new efficient method of eigenvalue reanalysis has been developed based on the perturbation method such that first the differential equations which describe the change of the eigenvalues and eigenvectors of a system being modified are derived from the perturbation method and then the solutions of these equations are obtained by following them up with the solutions of more simple equations. The special features of this method are that it can give a clear correspondence between the eigenpairs before and after system modification, and that the computer run time spent by this method is far shorter than that of revised analysis by FEM when only a few selected modes are used in the form ofan approximate computation. In addition, this approximate computation can give more accurate results than the perturbation method. The efficiency of the proposed method has been verified by applying it to a simple spring-mass model as well as a 600 degrees-offreedom model which receive structural modification.

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Based on the usual perturbation and PadeH approximation, a new eigenvalue reanalysis method for modi"ed structures is developed in this paper. By this method, the accuracy of the eigenvalues and varying ranges of the parameters of the structures are improved. As an application of the method, a numer