Open AccessJournal Article
Vibration control of a nonlinear dynamical system with time varying stiffness subjected to multi external forces
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In this paper, the stability of the system at the simultaneous primary resonance is investigated using both frequency response equations and phase-plane methods, and the effects of different parameters are studied numerically.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 numericallyread more
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References
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Journal ArticleDOI
A refined nonlinear vibration absorber
P. Frank Pai,Mark J. Schulz +1 more
TL;DR: In this paper, a theoretical study on how to use saturation phenomena to design nonlinear vibration absorbers and how to improve their stability and effective frequency bandwidth is presented, and guidelines for designing nonlinear vibrational absorbers are derived.
Journal ArticleDOI
Adaptive Control of Flexible Structures Using a Nonlinear Vibration Absorber
O. N. Ashour,A. H. Nayfeh +1 more
TL;DR: In this article, a nonlinear adaptive vibration absorber is proposed to control the vibrations offlexible structures by coupling a second-order controller with the structure through a sensor and an actuator.
Journal ArticleDOI
Non-linear response of a post-buckled beam subjected to a harmonic axial excitation
Jinchen Ji,Colin H. Hansen +1 more
TL;DR: In this paper, an experimental investigation of the non-linear response of a clamped-sliding post-buckled beam subjected to a harmonic axial load is presented, where two types of resonances are considered: fundamental and subharmonic.