Journal of Applied Mathematics

Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies

Shijia Zhao, Tao Xu, Guikai Guo, Wei Zhang, and Dongkai Liu

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 810147, 7 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807842

Digital Object Identifier
doi:10.1155/2013/810147

Zentralblatt MATH identifier
1266.74023

Citation

Zhao, Shijia; Xu, Tao; Guo, Guikai; Zhang, Wei; Liu, Dongkai. Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies. J. Appl. Math. 2013 (2013), Article ID 810147, 7 pages. doi:10.1155/2013/810147. https://projecteuclid.org/euclid.jam/1394807842


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