An analytical and numerical study of chaotic dynamics in a simple bouncing ball model

Dynamics of a ball moving in gravitational field and colliding with a moving table is studied in this paper. The motion of the limiter is assumed as periodic with piecewise constant velocity—it is assumed that the table moves up with a constant velocity and then moves down with another constant velo...

Full description

Saved in:
Bibliographic Details
Published inActa mechanica Sinica Vol. 27; no. 1; pp. 130 - 134
Main Authors Okninski, Andrzej, Radziszewski, Bogusław
Format Journal Article
LanguageEnglish
Published Heidelberg The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences 01.02.2011
Subjects
Bouncing
Chaos theory
Classical and Continuum Physics
Computational Intelligence
Dynamic tests
Dynamics
Engineering
Engineering Fluid Dynamics
Evolution
Gravitational fields
Mathematical analysis
Research Paper
Tables (data)
Theoretical and Applied Mechanics
动力学分析
引力场
数值研究
混沌动力学
碰撞动力学
移动工作台
等速运动
Nonsmooth dynamics
Bouncing ball
Exact solutions
Online AccessGet full text

Cover

More Information
Summary:Dynamics of a ball moving in gravitational field and colliding with a moving table is studied in this paper. The motion of the limiter is assumed as periodic with piecewise constant velocity—it is assumed that the table moves up with a constant velocity and then moves down with another constant velocity.The Poincaré map,describing evolution from an impact to the next impact,is derived and scenarios of transition to chaotic dynamics are investigated analytically and numerically.
Bibliography:Nonsmooth dynamics · Bouncing ball · Exact solutions
O415.5
P435
11-2063/O3
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ObjectType-Article-2
ObjectType-Feature-1
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-011-0406-3