Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
A Parametric Analysis of the Nonlinear Dynamics of a Duffing Oscillator
Submission Author:
Luã Guedes Costa , RJ
Co-Authors:
Luã Guedes Costa, Luciana Loureiro da Silva Monteiro, Marcelo Savi
Presenter: Luã Guedes Costa
doi://10.26678/ABCM.COBEM2019.COB2019-0258
Abstract
This contribution deals with a parametric analysis of a duffing oscillator. Nonlinear stiffness coefficients are investigated treating monostable and bistable systems. Besides, the external forcing is evaluated on system dynamics, mapping and quantifying different types of responses of the dynamical system. Numerical simulations are employed using fourth order Runge-Kutta method and Lyapunov exponents are employed to define chaotic behavior. A statistical analysis is developed establishing the probability of each kind of response to occur. Results show a variety of complex behaviors associated with bistable systems.
Keywords
nonlinear dynamics, Duffing Oscillator, chaos, Lyapunov Exponents, Energy Harvesting Systems
