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Theoretical Analysis and Numerical Simulation of Resonances and Stability of a Piecewise Linear-Nonlinear Vibration Isolation System
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A methodology is presented to study the resonance and stability for a single-degree-of-freedom (SDOF) system with a piecewise linear-nonlinear stiffness term (i.e., one piece is linear and the other is weakly nonlinear).
Firstly, the exact response of the linear governing equation is obtained, and a modified perturbation method is applied to finding the approximate solution of the weakly nonlinear equation.
Then, the primary and 1/2 subharmonic resonances are obtained by imposing continuity conditions and periodicity conditions.
Furthermore, Jacobian matrix is derived to investigate the stability of resonance responses.
Finally, the results of theoretical study are compared with numerical results, and a good agreement is observed.
American Psychological Association (APA)
Gao, X.& Chen, Q.. 2014. Theoretical Analysis and Numerical Simulation of Resonances and Stability of a Piecewise Linear-Nonlinear Vibration Isolation System. Shock and Vibration،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1048004
Modern Language Association (MLA)
Gao, X.& Chen, Q.. Theoretical Analysis and Numerical Simulation of Resonances and Stability of a Piecewise Linear-Nonlinear Vibration Isolation System. Shock and Vibration No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1048004
American Medical Association (AMA)
Gao, X.& Chen, Q.. Theoretical Analysis and Numerical Simulation of Resonances and Stability of a Piecewise Linear-Nonlinear Vibration Isolation System. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1048004
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048004