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Xiujing, H. and Qinsheng, B, “Bursting oscillations in Duffing’s equation with slowly damping external forcing,” Commun Nonlinear Sci Numer Simul, 16. 4146-4152. 2011.

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Article

Vibration Control of an Electromechanical Model with Time-Dependent Magnetic Field

1Department of Mathematics, Faculty of Science, Al-Azhar University, Gaza, Palestine


Journal of Mechanical Design and Vibration. 2016, Vol. 4 No. 1, 1-9
DOI: 10.12691/jmdv-4-1-1
Copyright © 2016 Science and Education Publishing

Cite this paper:
Usama H. Hegazy, Jihad Y. Abu Ful. Vibration Control of an Electromechanical Model with Time-Dependent Magnetic Field. Journal of Mechanical Design and Vibration. 2016; 4(1):1-9. doi: 10.12691/jmdv-4-1-1.

Correspondence to: Usama  H. Hegazy, Department of Mathematics, Faculty of Science, Al-Azhar University, Gaza, Palestine. Email: uhijazy@yahoo.com, u.hejazy@alazhar.edu.ps

Abstract

This paper presents a study of the nonlinear response of the electromechanical (seismograph) system under parametric excitations in the mechanical and electrical parts with periodically time-varying magnetic field. The case of subharmonic (parametric) resonance is considered and examined. Approximated solutions are sought applying the method of multiple scales. Numerical simulations are carried out to illustrate the steady-state response and the stability of the solutions using the frequency response function and time series solution.

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