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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 915136, 8 pages
http://dx.doi.org/10.1155/2014/915136
Research Article

Fractal Characteristic of Rock Cutting Load Time Series

College of Mechanical and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, China

Received 22 July 2013; Revised 3 November 2013; Accepted 29 January 2014; Published 5 March 2014

Academic Editor: Delfim F. M. Torres

Copyright © 2014 Hongxiang Jiang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A test-bed was developed to perform the rock cutting experiments under different cutting conditions. The fractal theory was adopted to investigate the fractal characteristic of cutting load time series and fragment size distribution in rock cutting. The box-counting dimension for the cutting load time series was consistent with the fractal dimension of the corresponding fragment size distribution, which indicated that there were inherent relations between the rock fragmentation and the cutting load. Furthermore, the box-counting dimension was used to describe the fractal characteristic of cutting load time series under different conditions. The results show that the rock compressive strength, cutting depth, cutting angle, and assisted water-jet types all have no significant effect on the fractal characteristic of cutting load. The box-counting dimension can be an evaluation index to assess the extent of rock crushing or cutting. Rock fracture mechanism would not be changed due to water-jet in front of or behind the cutter, but it would be changed when the water-jet was in cutter.