Vibrations Analysis and Bifurcations in the Self-Sustained
Electromechanical System with Multiple Functions.
Yamapi R. and M.A. Aziz-Alaoui
Fculty of Sciences, Douala, Cameroon and
Labo. Applied Math., Le Havre University
Communications in Nonlinear Science and
Vol. 12(8), pp. 1534-1549,
We consider in this paper the dynamics of the self-sustained electromechanical
system with multiple functions, consisting of an electrical RayleighDuffing
oscillator, magnetically coupled with linear mechanical oscillators.
The averaging and the harmonic balance method are used to find the amplitudes of the oscillatory
states respectively in the autonomous and nonautonomous cases, and analyze the condition
in which the quenching of self-sustained oscillations appears.
The influence of system parameters as well as the number of linear mechanical oscillators on the
bifurcations in the response of this electromechanical system is investigated.
Various bifurcation structures, the stability chart and the variation of the
Lyapunov exponent are obtained, using numerical simulations of the equations
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