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A Theoretical Model for Estimating the Peak Cutting Force of Conical Picks

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Abstract

The peak cutting force (PCF) estimation plays an important role in the design of cutting tools for mining excavators. In most of the existing theoretical models for cutting force prediction, the PCF is often modeled as the force on the cutting tool at the moment when the rock fragment is formed. However, according to the theory of fracture mechanics, the PCF is supposed to occur during the crack initiation phase. Consequently, this paper attempts to add to the existing literature by proposing a fracture mechanics-based theoretical model for PCF prediction. The proposed PCF prediction model distinguishes itself from existing models by determining the PCF during initiation of the rock crack. The PCF is determined using the energy and stress criteria of Griffith’s fracture mechanics theory. In this new model, the PCF is positively related to the fracture toughness of the rock and the cutting depth. The experimental results demonstrated the validity of the proposed model. The proposed model performs well in predicting the PCF in terms of reliability and accuracy. Besides, the PCF prediction capability of the proposed model was compared with those of the other rock cutting models existing in the literature.

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Acknowledgments

This research was supported by the National Basic Research Program of China (2014CB046301), the National Natural Science Foundation of China (U1510116, U1610251), the Key Program of Shanxi Coal Basic (MJ2014-05), and the Science and Technology Project of Jiangsu Province (BK20140051), Yingcai Project of China University of Mining and Technology (YC2017001), a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

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Authors and Affiliations

  1. School of Mechanical Engineering, China University of Mining and Technology, Xuzhou, 221000, China

    X. Li, S. Wang, S. Ge & Z. Li

  2. Collaborative Innovation Center of Intelligent Mining Equipment, China University of Mining and Technology, Xuzhou, 221000, China

    S. Wang & S. Ge

  3. Department of Electrical, Electronic & Computer Engineering, University of Pretoria, Pretoria, 0002, South Africa

    R. Malekian

  4. School of Mechanical, Materials, Mechatronic and Biomedical Engineering, University of Wollongong, Wollongong, NSW 2522, Australia

    Z. Li

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  1. X. Li
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  2. S. Wang
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  3. S. Ge
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  4. R. Malekian
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  5. Z. Li
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Correspondence to S. Wang.

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Li, X., Wang, S., Ge, S. et al. A Theoretical Model for Estimating the Peak Cutting Force of Conical Picks. Exp Mech 58, 709–720 (2018). https://doi.org/10.1007/s11340-017-0372-1

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  • DOI: https://doi.org/10.1007/s11340-017-0372-1

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