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2013 Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies
Shijia Zhao, Tao Xu, Guikai Guo, Wei Zhang, Dongkai Liu
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/810147

Abstract

Derivatives of eigenvectors with respect to structural parameters play an important role in structural design, identification, and optimization. Particularly, calculation of eigenvector sensitivity is considered when the eigenvalues are repeated. A relaxation factor embedded in the combined approximations (CA) method makes it effective to the structural response at various modified designs. The proposed method is feasible after overcoming the defection of irreversibility of the characteristic matrix. Numerical examples show that it is easy to implement the computational procedure, and the method presented in this paper is efficient for the general linear vibration damped systems with repeated frequencies.

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Shijia Zhao. Tao Xu. Guikai Guo. Wei Zhang. Dongkai Liu. "Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/810147

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.74023
Digital Object Identifier: 10.1155/2013/810147

Rights: Copyright © 2013 Hindawi

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