Dissipative properties for a ball bouncing on a vertically vibrating plate

Jiang, Zehui; Liang, Zhijie; Zhou, Dekai; Deng, Yong

doi:10.1016/j.physa.2019.123875

Cited by 6 publications

(5 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dynamics of collisions can be initially grasped by studying binary collisions between spheres [8][9][10] or by investigating the impact of an elastic sphere with a rigid plate [11][12][13][14]. Indeed, these simple systems can be employed as toy models for describing more complex ones involving the bouncing on vertically vibrating surfaces [15][16][17], the bouncing on wet surfaces, [18] the bouncing of drops [19,20] and the bouncing of dimmers [21] to mention a few.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, other velocity dependent behavior of the COR has been reported in systems with finite adhesive forces [8,9,26] and those bouncing on vibrating surfaces [11,33] where a fast dropping of the COR at low-impact velocities is observed. Most recently, it has been shown that collision dynamics models that include gravity effects enable the COR behavioral description at low speeds, while improving significantly the model prediction [12,15,33,34]. Although the mentioned models characterized fairly well their systems' impact dynamics, these approaches rely mostly on modified non-linear Hertzian models, which ultimately hinder the development of analytical expressions for the COR and other relevant impact dynamics parameters.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Impact dynamics for gravity-driven motion of a particle

et al. 2020

View full text Add to dashboard Cite

Introductory mechanics courses use the bouncing ball model to familiarize students with the principles of binary inelastic collisions. Nonetheless, in undergraduate courses, the modeling of binary systems typically disregards the time of contact and the effects of gravity, which yields to a constant coefficient of restitution (COR) and, as a consequence, prevents students from elucidating the real dependence of COR with impact speed. In this work, we proposed a simple experimental setup to investigate the impact dynamics of a spring-mass body that bounces on a rigid plate as well as a theoretical framework that captures the velocity dependence of the COR for low-impact speeds. Our analytical expression for the COR highlights the role-played by gravity, impact speed and collision time on the collision dynamics. Our results suggest that the inclusion of gravity force allows an adequate estimation of the critical impact speed and maximum deformation distance, crucial parameters to differentiate between repulsive and attractive interaction regimes. Our experimental setup enables the clarification of several key concepts of mechanics while it is easy to be performed in most undergraduate laboratories.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Impact dynamics for gravity-driven motion of a particle

et al. 2020

View full text Add to dashboard Cite

show abstract

“…In addition, Hertz contact stiffness is only applicable for the elastic contact. When plasticity occurs [38], the contact stiffness varies greatly, see e.g., [32,39,40].…”

Section:  +mentioning

confidence: 99%

Energy Dissipation Analysis for Elastoplastic Contact and Dynamic Dashpot Models

Wang

Liu

2022

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

“…[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%

Jumping Platonic Solids on a Vibrating Plate

Dieckmann,

Puzyrev,

Trittel

et al. 2023

Annalen der Physik

View full text Add to dashboard Cite

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.

show abstract

Dissipative properties for a ball bouncing on a vertically vibrating plate

Cited by 6 publications

References 49 publications

Impact dynamics for gravity-driven motion of a particle

Impact dynamics for gravity-driven motion of a particle

Energy Dissipation Analysis for Elastoplastic Contact and Dynamic Dashpot Models

Jumping Platonic Solids on a Vibrating Plate

Contact Info

Product

Resources

About