期刊
JOURNAL OF SOUND AND VIBRATION
卷 330, 期 1, 页码 110-126出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2010.07.005
关键词
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资金
- National Outstanding Young Scientist Fund of China [10725209]
- National Natural Science Foundation of China [90816001]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20093108110005]
- Shanghai Subject Chief Scientist Project [09XD1401700]
- Innovation Foundation for Graduates of Shanghai University [A.16-0401-08-005]
- Shanghai Leading Academic Discipline Project [S30106]
- Program for Changjiang scholars and Innovative Research Team in University [IRT0844]
In this paper, nonlinear free transverse vibrations of in-plane moving plates subjected to plane stresses are investigated. The Hamilton principle is applied to derive the governing equation and the associated boundary conditions. The method of multiple scales is employed to analyze the nonlinear partial differential equation. The solvability conditions are established in the cases without internal resonance and with 3:1 or 1:1 internal resonances. Some numerical examples are presented to demonstrate the effects of in-plane moving speeds on the frequencies. The nonlinear frequencies of the in-plane moving plate without internal resonances are numerically calculated. The relationship between the nonlinear frequencies and the initial amplitudes is showed at different in-plane moving speeds and the nonlinear coefficients, respectively. It is feasible to investigate resonances without the modes not involved in the resonances. The effects of the related parameters are demonstrated for the case of 3:1 and 1:1 internal resonances, respectively. The differential quadrature scheme is developed to solve numerically the governing equation and confirm results via the method of multiple scales. (C) 2010 Published by Elsevier Ltd.
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