Dynamical aspects of a bouncing ball in a nonhomogeneous field

Silveira, Felipe Augusto O.; Alves, Sidiney G.; Leonel, Edson D.; Ladeira, Denis Gouvêa

doi:10.1103/physreve.103.062205

Cited by 3 publications

(2 citation statements)

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“…[25,26] Livorati et al suggested that crises of multiple attractors (collisions of their basins) are responsible for a complex dynamics. [28] The velocity distribution density for spheres was computed and experimentally probed by Warr et al [31] Several modifications of the problem were introduced like the influence of air drag, [32] different excitation schemes, [33,34] electric fields, [35] and other complications like details of the collision dynamics and velocity-dependent restitution coefficients, [36,37] and random excitation sequences. [38] For spherical particles, the most elementary description is one that disregards rotational motion.…”

Section: Introductionmentioning

confidence: 99%

“…[ 28 ] The velocity distribution density for spheres was computed and experimentally probed by Warr et al. [ 31 ] Several modifications of the problem were introduced like the influence of air drag, [ 32 ] different excitation schemes, [ 33,34 ] electric fields, [ 35 ] and other complications like details of the collision dynamics and velocity‐dependent restitution coefficients, [ 36,37 ] and random excitation sequences. [ 38 ]…”

Section: Introductionmentioning

confidence: 99%

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Jumping Platonic Solids on a Vibrating Plate

Dieckmann,

Puzyrev,

Trittel

et al. 2023

Annalen der Physik

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The mechanical excitation of solid bodies by a vibrating plate is not only an interesting fundamental problem, but also has relevance in many mechanical systems, for example, in the preparation of granular gases in microgravity. Herein, the energy input by an oscillating plate is numerically investigated as a function of the excitation parameters for selected Platonic solids and their behavior compared to that of a jumping sphere. The most important additional features, not relevant for spheres, are the excitation of body rotations and a permanent energy exchange between the rotational and translational degrees of freedom during the collisions with the plate. The distribution of kinetic energies is analyzed by a numerical simulation of the dynamics, using structures which emulate the mechanical behavior of regular polyhedra.

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