On the effect of fractional damping on the nonlinear vibrations of structures

Resumo

In this work the effect of the fractional-order damping on a discrete system described by the forced Duffing oscillator is studied. For this, numerical methods are implemented a parametrical study is performed to evaluate the influence of fractional order derivatives on the nonlinear dynamic response. Numerical simulations implemented in to study the nonlinear dynamic behavior of bifurcations, chaos, and chaotic attractors and the stability of fixed points is analyzed. It is possible to observe that by increasing the value of the fractional-order parameter, the resulting discrete response is stabilized.