Dinâmica de partículas esféricas em levitadores acústicos de eixo único

Abstract

Mechanisms to counteract the gravitational force have intrigued scientists for years. In the beginning, keeping objects suspended in the air without any apparent contact was only part of tricks of illusionism shows or science fiction movies, however with the advancement of science levitation became a reality due to advanced studies on electromagnetic, optical and acoustic forces. In the present work, the dynamics of small spheres levitated by acoustic radiation force: a non-linear and a linear one.The results show that the model with non-linear acoustic force is more representative compared to the linear model, since the model with non-linear acoustic force is able to representing phenomena such as hysteresis, period doubling, bifurcation and chaos. Bifurcation diagram reveal occurrence of bifurcations and chaotic regions as well as the phase spaces also confirm, the calculation of the largest exponent of Lyapunov is used to confirm the existence of chaos. Finally, through the basins of attraction the topology of the space of initial conditions is highlighted.