Fly-wheel model exhibits the hither and thither motion of a bouncing ball

A. Bibó, G. Károlyi, T. Bódai

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The to and fro motion of a bouncing ball on a flat surface is represented by a low-dimensional model. To describe the repeated reversals of the horizontal velocity of the ball, the elasticity of the ball has to be taken into account. We show that a simple fly-wheel model exhibits the observed hither and thither motion of elastic balls. The suggested model is capable of describing oblique impacts of spherical bodies, which can be important in many applications, including dynamical simulation of granular materials. We find that the behaviour of the bouncing fly-wheel is sensitive to the initial conditions, and the escape time plots are used to illustrate this observation.

Original languageEnglish
Pages (from-to)905-912
Number of pages8
JournalInternational Journal of Non-Linear Mechanics
Volume44
Issue number8
DOIs
Publication statusPublished - Oct 2009

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Wheel
Wheels
Ball
Motion
Granular materials
Granular Materials
Elasticity
Oblique
Reversal
Model
Initial conditions
Horizontal
Simulation

Keywords

  • Bouncing ball
  • Elastic impact
  • Oblique impact

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Applied Mathematics

Cite this

Fly-wheel model exhibits the hither and thither motion of a bouncing ball. / Bibó, A.; Károlyi, G.; Bódai, T.

In: International Journal of Non-Linear Mechanics, Vol. 44, No. 8, 10.2009, p. 905-912.

Research output: Contribution to journalArticle

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