Affiliation:
1. 1Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon Tong, Kowloon, Hong Kong
Abstract
AbstractThis paper addresses the steady-state periodic and quasi-periodic responses of van der Pol–Mathieu system subject to three excitations (i.e., self, parametric and external excitations). Method of multiple scales and double perturbation technique are employed to study the original system. The cases of van der Pol–Mathieu oscillator with and without external excitation are considered, and periodic and quasi-periodic solutions are obtained and discussed. In the parametric study, the effects of various parameters and self, parametric and external excitations on the system behaviors are studied. Results from method of multiple scales well agree with those from numerical method.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Reference62 articles.
1. An open-plus-closed-loop control for chaotic Mathieu-Duffing oscillator;Appl. Math. Mech.,2009
2. Nonlinear forced vibration of orthotropic rectangular plates using the method of multiple scales;AIAA J.,1989
3. On the quasiperiodic galloping of a wind-excited tower;J. Sound Vib.,2013
4. Quasiperiodic galloping of a wind-excited tower near secondary resonances of order 2;J. Vib. Control
5. Self-excited oscillations and fuel control of a combustion process in a Rijke tube;Int. J. Nonlinear Sci. Numer. Simul.,2014
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