Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Chaos and Hyperchaos in a Two-Degree of Freedom Duffing Oscillator
Submission Author:
Luã Guedes Costa , RJ
Co-Authors:
Luã Guedes Costa, Marcelo Savi, Luciana Loureiro da Silva Monteiro
Presenter: Luã Guedes Costa
doi://10.26678/ABCM.COBEM2021.COB2021-0402
Abstract
The classical Duffing oscillator is often used to describe a great variety of physical phenomena. A deep nonlinear dynamics investigation of these systems is important to understand the nuances of the involved phenomena and their applications. This contribution deals with a parametric analysis of a two-degree of freedom Duffing oscillator. Stiffness coefficients are investigated for different stability configurations of the system. Besides, the external forcing parameters are also evaluated mapping and quantifying different types of responses. Numerical simulations are employed using fourth order Runge-Kutta method. Poincaré sections and Lyapunov exponents are employed to define different kinds of responses, characterizing periodic, chaotic and hyperchaotic behaviors. Results show a variety of complex behaviors associated with these types of systems.
Keywords
nonlinear dynamics, Duffing Oscillator, chaos, Lyapunov Exponents, Multiple DoF Systems
