Dynamics of a Bouncing Ball

被引：0
|
作者：
Liang, Shiuan-Ni [1 ]
Lan, Boon Leong [1 ]
机构：
[1] Monash Univ, Sch Engn, Bandar Sunway 46150, Selangor, Malaysia
来源：
CHAOTIC SYSTEMS: THEORY AND APPLICATIONS | 2010年
关键词：
D O I：
10.1142/9789814299725_0021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamics of a bouncing ball undergoing repeated inelastic impacts with a table oscillating vertically in a sinusoidal fashion is studied using Newtonian mechanics and general relativistic mechanics An exact mapping describes the bouncing ball dynamics in each theory We show, contrary to expectation, that the trajectories predicted by Newtonian mechanics and general relativistic mechanics from the same parameters and initial conditions for the ball bouncing at bow speed in a weak gravitational field can rapidly disagree completely The bouncing ball system could be realized experimentally to test which of the two different predicted trajectories is correct
引用
收藏
页码：165 / 169
页数：5
相关论文
共 50 条
  • [41] An analytical and numerical study of chaotic dynamics in a simple bouncing ball model
    Andrzej Okninski
    Bogusław Radziszewski
    Acta Mechanica Sinica, 2011, 27
  • [42] Bouncing Ball Dynamics: Simple Motion of the Table Approximating the Sinusoidal Motion
    Okninski, Andrzej
    Radziszewski, Boguslaw
    APPLIED NON-LINEAR DYNAMICAL SYSTEMS, 2014, 93 : 397 - 405
  • [43] An analytical and numerical study of chaotic dynamics in a simple bouncing ball model
    Andrzej Okninski
    Bogusaw Radziszewski
    Acta Mechanica Sinica, 2011, 27 (01) : 130 - 134
  • [44] Bouncing ball dynamics: Simple model of motion of the table and sinusoidal motion
    Okninski, Andrzej
    Radziszewski, Boguslaw
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2014, 65 : 226 - 235
  • [45] BRAID ANALYSIS OF A BOUNCING BALL
    TUFILLARO, NB
    PHYSICAL REVIEW E, 1994, 50 (06) : 4509 - 4522
  • [46] Orientation Control of the Bouncing Ball
    Clark, William
    Kassabova, Dora
    2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC), 2022, : 1318 - 1323
  • [47] Quantum bouncing ball resonates
    Geoffrey L. Greene
    Nature Physics, 2011, 7 : 447 - 448
  • [48] On the stopping time of a bouncing ball
    Cherubini, Anna Maria
    Metafune, Giorgio
    Paparella, Francesco
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 10 (01): : 43 - 72
  • [49] Horizontal stability of a bouncing ball
    McBennett, Brendan G.
    Harris, Daniel M.
    CHAOS, 2016, 26 (09)
  • [50] Energy Losses in a Bouncing Ball
    Cross, Rod
    PHYSICS TEACHER, 2023, 61 (06): : 444 - 446
12345