Nonlinear Frequency Response Analysis of Structures Based on Eigenvector Perturbation

DOI

10.2991/icmmcce-17.2017.224How to use a DOI?

Keywords

Nonlinear normal modes (NNMs); describing function (DF); eigenvector perturbation.

Abstract

This paper proposed a solution method for the nonlinear frequency response analysis of structures combining the Nonlinear Single Resonant Mode (NSRM) theory and eigenvector perturbation theory. The NSRM theory assumes that only the mode in the vicinity of a resonant mode has nonlinear behavior, and the non-resonant mode can be expressed by a linear combination of a set of associated linear normal modes. The describing function (DF) method is used to evaluate the generalized quasilinear matrix, which is treated as a perturbation of the underlying linear system. Finally, a numerical example is presented to show the accuracy 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/).

Download article (PDF)

TY  - CONF
AU  - Yuan Wei
AU  - Dai Xu
AU  - Longbin Liu
AU  - Weihua Zhang
PY  - 2017/09
DA  - 2017/09
TI  - Nonlinear Frequency Response Analysis of Structures Based on Eigenvector Perturbation
BT  - Proceedings of the 2017 5th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering (ICMMCCE 2017)
PB  - Atlantis Press
SP  - 1266
EP  - 1271
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmmcce-17.2017.224
DO  - 10.2991/icmmcce-17.2017.224
ID  - Wei2017/09
ER  -