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Hyperchaotic qualities of the ball motion in a ball milling device

Caravati, Carlo and Delogu, Francesco and Cocco, Giorgio and Rustici, Mauro (1999) Hyperchaotic qualities of the ball motion in a ball milling device. Chaos, Vol. 9 (1), p. 219-226. eISSN 1089-7682. Article.

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DOI: 10.1063/1.166393

Abstract

Ball collisions in milling devices are governed by complex dynamics ruled by impredictable impulsive forces. In this paper, nonlinear dynamics techniques are employed to analyze the time series describing the trajectory of a milling ball in an empty container obtained from a numerical model. The attractor underlying the system dynamics was reconstructed by the time delay method. In order to characterize the system dynamics the calculation of the spectrum of Lyapunov exponents was performed. Six Lyapunov exponents, divided into two terns with opposite sign, were obtained. The detection of the positive tern demonstrates the occurrence of the hyperchaotic qualities of the ball motion. A fractal Lyapunov dimension, equal to 5.62, was also obtained confirming the strange features of the attractor.

Item Type:Article
ID Code:355
Status:Published
Refereed:Yes
Uncontrolled Keywords:Powder technology, time series, chaos, fractals, nonlinear dynamical systems, impact (mechanical)
Subjects:Area 03 - Scienze chimiche > CHIM/02 Chimica fisica
Divisions:001 Università di Sassari > 01 Dipartimenti > Chimica
Publisher:American Institute of Physics
eISSN:1089-7682
Deposited On:18 Aug 2009 10:02

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