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

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.

[1]  Paul Woafo,et al.  Experimental realization and simulations a self-sustained Macro ElectroMechanical System , 2010 .

[2]  R. Yamapi,et al.  Dynamics and chaos control of the self-sustained electromechanical device with and without discontinuity , 2006 .

[3]  Paul Woafo,et al.  Dynamics of a self-sustained electromechanical system with flexible arm and cubic coupling , 2007 .

[4]  Usama H. Hegazy.  Dynamics and control of a self-sustained electromechanical seismographs with time-varying stiffness , 2009 .

[5]  M. Siewe Siewe,et al.  Resonant oscillation and homoclinic bifurcation in a Φ6-Van der Pol oscillator , 2004 .

[6]  M. A. Aziz-Alaoui,et al.  Vibration analysis and bifurcations in the self-sustained electromechanical system with multiple functions , 2007 .

[7]  Qinsheng Bi,et al.  Bursting oscillations in Duffing’s equation with slowly changing external forcing , 2011 .

[8]  Paul Woafo,et al.  Effects of higher nonlinearity on the dynamics and synchronization of two coupled electromechanical devices , 2008 .

[9]  René Yamapi,et al.  Dynamics of an electromechanical damping device with magnetic coupling , 2006 .

[10]  Usama H. Hegazy.  Single-mode response and control of a hinged–hinged flexible beam , 2009 .

[11]  Usama H. Hegazy,et al.  Homoclinic bifurcation and chaos control in MEMS resonators , 2011 .

[12]  M. S. Siewe,et al.  Non-linear response of a self-sustained electromechanical seismographs to fifth resonance excitations and chaos control , 2006 .