Complexity International       /vol02/han/ © Copyright 1995     
Volume 02 Received: 
Accepted: 
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An Investigation of Chaotic Phenomena in a Vibratory Ball Milling System

Han Huang, Jie Pan and Paul G. McCormick

Abstract
     The chaotic characteristics of a vibratory milling system, which is very close to a bouncing ball system, have been investigated. The strange attractor and fractal dimensions of a dissipative bouncing ball system were obtained numerically. It is found that the coefficient of restitution between the impact objects determines the dynamic states of the system. Experimental results in a vibratory ball mill have qualitatively confirmed that chaotic motion occurred at the end of the period doubling route. However, the strange attractor of chaotic motion appears to be somewhat different from the numerical result due to external perturbations, such as unstable platform velocity and coefficient of restitution. The chaotic behaviour under the effect of the perturbations is also discussed with the support of simulation results.


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