An Improved Matrix Perturbation Method for Modified Structures

DOI

10.2991/cnct-16.2017.97How to use a DOI?

Keywords

Matrix perturbation method, iterative; eigensolution, natural frequency, Rayleigh quotient.

Abstract

In this paper, an improved matrix perturbation method for modified structures is presented. First we construct an iterative format on the basis of the matrix perturbation theory. By introducing a pair of initial eigensolution, we can obtain the natural vibration mode of the modified structure, and then use the Rayleigh quotient to compute the corresponding natural frequency. In this way, the computation accuracy can be greatly improved. Finally, a numerical example is included to demonstrate the validity of the proposed method.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhong-hai XU
AU  - Zhong-yuan NIU
AU  - Jian-zhao ZHANG
AU  - Rong-guo WANG
PY  - 2016/12
DA  - 2016/12
TI  - An Improved Matrix Perturbation Method for Modified Structures
BT  - Proceedings of the International Conference on Computer Networks and Communication Technology (CNCT 2016)
PB  - Atlantis Press
SP  - 695
EP  - 705
SN  - 2352-538X
UR  - https://doi.org/10.2991/cnct-16.2017.97
DO  - 10.2991/cnct-16.2017.97
ID  - XU2016/12
ER  -