VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES

Authors : Amer YA, Ahmed EE

Pages : 1-15

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Publication Date : 2013-12-01

Article Type : Research Paper

Abstract :The dynamical system with time varying stiffness subjected to multi excitation forces studied. The system is written as two degree of freedom consists of the main system and absorber. The multiple time scale perturbation method is applied to get the approximate solution up to the third approximation. The stability of the system at the simultaneous primary resonance is investigated using both frequency response equations and phase-plane methods. The effects of different parameters are studied numerically
Keywords : Perturbation method, Response, Chaotic response stability, Vibration control, Time varying stiffness