Broadening the frequency bandwidth of a finite extensibility nonlinear vibration absorber by exploiting its internal resonances

In this paper, the dynamics response of a finite extensibility nonlinear elastic (FENE) absorber attached to a nonlinear primary system is investigated by writing the modal form equations of motion as two decoupled, damped, and forced cubic–quintic expressions of the Duffing type. Then, numerical in...

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Bibliographic Details
Published in:Nonlinear dynamics 2020-11, Vol.102 (3), p.1239-1270
Main Authors: Elías-Zúñiga, Alex, Palacios-Pineda, Luis Manuel, Olvera-Trejo, Daniel, Martínez-Romero, Oscar
Format: Article
Language:English
Subjects:
Absorbers
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Dynamical Systems
Engineering
Equations of motion
Extensibility
Liapunov exponents
Mechanical Engineering
Numerical integration
Original Paper
Vibration
Vibration control
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Summary:In this paper, the dynamics response of a finite extensibility nonlinear elastic (FENE) absorber attached to a nonlinear primary system is investigated by writing the modal form equations of motion as two decoupled, damped, and forced cubic–quintic expressions of the Duffing type. Then, numerical integration solutions of these decoupled expressions are used to find frequency–amplitude response plots, the largest Lyapunov exponents, suppression bandwidth, and force transmissibility that are used for investigating how the addition of the FENE absorber modifies the vibration conditions of the main system. The results suggest that the addition of the FENE absorber can lead to vibration mitigation of the primary system while enhancing its performance when the system operates in the vicinity of internal resonance conditions.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-020-05721-4