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Comparisons Between Experimental and Semi-theoretical Cutting Forces of CCS Disc Cutters

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Abstract

This paper focuses on comparisons between the experimental and semi-theoretical forces of CCS disc cutters acting on different rocks. The experimental forces obtained from LCM tests were used to evaluate the prediction accuracy of a semi-theoretical CSM model. The results show that the CSM model reliably predicts the normal forces acting on red sandstone and granite, but underestimates the normal forces acting on marble. Some additional LCM test data from the literature were collected to further explore the ability of the CSM model to predict the normal forces acting on rocks of different strengths. The CSM model underestimates the normal forces acting on soft rocks, semi-hard rocks and hard rocks by approximately 38, 38 and 10%, respectively, but very accurately predicts those acting on very hard and extremely hard rocks. A calibration factor is introduced to modify the normal forces estimated by the CSM model. The overall trend of the calibration factor is characterized by an exponential decrease with increasing rock uniaxial compressive strength. The mean fitting ratios between the normal forces estimated by the modified CSM model and the experimental normal forces acting on soft rocks, semi-hard rocks and hard rocks are 1.076, 0.879 and 1.013, respectively. The results indicate that the prediction accuracy and the reliability of the CSM model have been improved.

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Abbreviations

TBM:

Tunnel boring machine

LCM:

Linear cutting machine

RCM:

Rotary cutting machine

CSM:

Colorado School of Mines

CCS:

Constant cross section

CC:

Cutting coefficient

CSU:

Central South University

UCS:

Uniaxial compressive strength

BTS:

Brazilian tensile strength

NTNU:

Norwegian University of Science and Technology

\(\sigma_{c}\) :

Rock uniaxial compressive strength

R :

Radius of disc cutter

\(\phi\) :

Contact angle between the rock and the disc cutter

S :

Cutter spacing

p :

Penetration

T :

Cutter tip width

FNCSM :

Normal force of the CSM model

FRCSM :

Rolling force of the CSM model

P :

Pressure beneath the cutter tip

\(P^{0}\) :

Base pressure

\(\theta\) :

Angle from the vertical baseline

\(\psi\) :

Pressure distribution coefficient

F T :

Total resultant cutting force

C :

Constant coefficient in the CSM model

K c :

Calibration factor

FN:

Normal force

FR:

Rolling force

FS:

Side force

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Acknowledgements

The authors wish to thank the National Key Basic Research Program of China (973 Program) (2013CB035401), the China Natural Science Foundation (Grant No. 51475478), the National High Technology Research and Development Program of China (863 Program) (2012AA041803) and the Major Projects of Science and Technology in Hunan Province (2014FJ1002) for their kind and continued support. All authors would also like to acknowledge the support from the Laboratory Center in the College of Resources and Safety Engineering of CSU for the mechanical property tests of the rock samples.

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

    Yimin Xia, Ben Guo, Qing Tan, Xuhui Zhang, Hao Lan & Zhiyong Ji

  2. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, 410083, China

    Yimin Xia

  3. China Railway Construction Heavy Industry Co., Ltd, Changsha, 410100, China

    Zhiyong Ji

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  1. Yimin Xia
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  2. Ben Guo
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  3. Qing Tan
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  4. Xuhui Zhang
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Correspondence to Ben Guo.

Appendix

Appendix

See Tables 4, 5 and 6.

Table 4 Experimental and semi-theoretical results for the CCS disc cutter in marble
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Table 5 Experimental and semi-theoretical results for the CCS disc cutter in red sandstone
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Table 6 Experimental and semi-theoretical results for the CCS disc cutter in granite
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Xia, Y., Guo, B., Tan, Q. et al. Comparisons Between Experimental and Semi-theoretical Cutting Forces of CCS Disc Cutters. Rock Mech Rock Eng 51, 1583–1597 (2018). https://doi.org/10.1007/s00603-018-1400-x

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