Abstract
Rock cutting by tunnel boring machine (TBM) disc cutters is usually simplified as an indentation-type or linear-cutting process. It is inconsistent with the actual rock-breaking motion of disc cutters and therefore impedes to some extent the research on the rock-breaking mechanism, wear mechanism and design theory. In order to evaluate the kinematic law of points on cutter rings within the rock–cutter contact area (hereinafter referred to as rock-breaking points), the ring is divided into a series of infinitesimal circle-shaped cutting elements. Each of them could be determined by its coordinate position in the axial direction of the disc cutter. After that, according to the installation parameters of roller disc cutters mounted on the cutterhead and spatial geometric features of the cutters, the spatial kinematic model of any cutting element from a given cutter is proposed, and then the functional relationships between three-dimensional displacement components of the rock-breaking points and geometric parameters of the disc cutter are established. In order to demonstrate that the mentioned model has great application prospects in TBM industry, the cutting load prediction model of the disc cutter is derived from the kinematic model by introducing the linear spring model. Finally, by comparing with experimental data obtained from the rotary cutting tests, it can be seen that the prediction model built in this paper can better reflect the cutting load characteristics of TBM disc cutters with different installation parameters.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Data Availability
The data used to support the findings of this study are available from the corresponding author upon request.
References
Chen L, Labuz J (2006) Indentation of rock by wedge-shaped tools. Int J Rock Mech Min Sci 43(7):1023–1033. https://doi.org/10.1016/j.ijrmms.2006.03.005
Dehkordi M, Lazemi H, Shahriar K (2015) Application of the strain energy ratio and the equivalent thrust per cutter to predict the penetration rate of TBM, case study: Karaj-Tehran water conveyance tunnel of Iran. Arab J Geosci 8:4833–4842. https://doi.org/10.1007/s12517-014-1495-7
Farrokh E (2021) Layout design specifications of hard-rock TBM cutterheads at maximum cutter penetration and TBM advance. Arab J Geosci 14:2049. https://doi.org/10.1007/s12517-021-08435-y
Geng Q, Wei Z, Meng H (2016) An experimental research on the rock cutting process of the gage cutters for rock tunnel boring machine (TBM). Tunn Undergr Space Technol 52:182–191. https://doi.org/10.1016/j.tust.2015.12.008
Gong Q, Wu F, Yin L (2019) Experimental study on the rock mixed ground under disc cutter by linear cutting. Hazard Control Tunnel Undergr Eng 2:67–73 ((in Chinese))
Li H, Sun Z, Zhou J, Zhang H, Han X, Yu W (2017) A new wear detection technique for TBM cutters. J Vib Shock 36(24):7–12. https://doi.org/10.13465/j.cnki.jvs.2017.24.002
Li Y, Di H, Yao Q, Fu L, Zhou S (2020) Prediction model for disc cutter wear of tunnel boring machines in sandy cobble strata. KSCE J Civ Eng 24:1010–1019. https://doi.org/10.1007/s12205-020-1631-8
Lin L, Xia Y, Zhang X (2020) Wear characteristics of TBM disc cutter ring sliding against different types of rock. KSCE J Civ Eng 24:3145–3155. https://doi.org/10.1007/s12205-020-2208-2
Martin E, Rostami J (2019) TBM performance prediction model with a linear base function and adjustment factors obtained from rock cutting and indentation tests. Tunn Undergr Space Technol 93:103085. https://doi.org/10.1016/j.tust.2019.103085
Noori A, Mikaeil R, Mokhtarian M, Haghshenas S, Foroughi M (2020) Feasibility of intelligent models for prediction of utilization factor of TBM. Geotech Geol Eng 38(3):3125–3143. https://doi.org/10.1007/s10706-020-01213-9
Pan Y, Liu Q, Liu J, Peng X, Kong X (2018a) Full-scale linear cutting tests in Chongqing Sandstone to study the influence of confining stress on rock cutting efficiency by TBM disc cutter. Tunn Undergr Space Technol 80:197–210. https://doi.org/10.1007/s00603-018-1412-6
Pan Y, Liu Q, Peng X, Kong X, Liu J, Zhang X (2018b) Full-scale rotary cutting test to study the influence of disc cutter installment radius on rock cutting forces. Rock Mech Rock Eng 51(7):2223–2236. https://doi.org/10.1007/s00603-018-1460-y
Rostami J, Chang S (2017) A closer look at the design of cutterheads for hard rock tunnel-boring machines. Engineering 3(6):892–904. https://doi.org/10.1016/j.eng.2017.12.009
Tan Q, Sun X, Xia Y, Cai X, Zhang J (2017) A wear prediction model of disc cutter for TBM. J Cent South Univ (sci Technol) 48(1):54–60. https://doi.org/10.11817/j.issn.1672-7207.2017.01.008
Wang Z, Liu C, Jiang Y, Dong L, Wang S (2022) Study on Wear Prediction of Shield Disc Cutter in Hard Rock and Its Application. KSCE J Civ Eng 26:1439–1450. https://doi.org/10.1007/s12205-021-0817-z
Xia Y, Tian Y, Tan Q, Hou Y (2016) Side force formation mechanism and change law of TBM center cutter. J Cent South Univ 5:1115–1122. https://doi.org/10.1007/s11771-016-0361-z
Xue Q, Zhang C, He J, Zou G, Zhang J (2016) An updated analytical structural pounding force model based on viscoelasticity of materials. Shock Vib 3:1–15. https://doi.org/10.1155/2016/2596923
Yagiz S (2017) New equations for predicting the field penetration index of tunnel boring machines in fractured rock mass. Arab J Geosci 10:33. https://doi.org/10.1007/s12517-016-2811-1
Yang Y, Sun Z, Li F, Zhang B, Xu H (2020) Research on upgrading of TBM boring modal experiment platform. Tunnel Constr 40(11):1570–1577. https://doi.org/10.3973/j.issn.2096-4498.2020.11.004
Zhang Z, Sun F (2012) The three-dimension model for the rock-breaking mechanism of disc cutter and analysis of rock-breaking forces. Acta Mech Sin 28(3):675–682. https://doi.org/10.1007/s10409-012-0076-9
Zhang Z, Meng L, Sun F (2014) Rock deformation equations and application to the study on slantingly installed disc cutter. Acta Mech Sin 30(4):540–546. https://doi.org/10.1007/s10409-014-0056-3
Zhang X, Ji P, Liu Q (2018) Physical and numerical studies of rock fragmentation subject to wedge cutter indentation in the mixed ground. Tunn Undergr Space Technol 71:354–365. https://doi.org/10.1016/j.tust.2017.09.003
Zhang Z, Aqeel M, Li C, Sun F (2019) Theoretical prediction of wear of disc cutters in tunnel boring machine and its application. J Rock Mech Geotech Eng 11(1):111–120. https://doi.org/10.1016/j,jrmge.2018.05.006
Acknowledgements
This project is supported by the National Natural Science Foundation of China (Grant 51704256, 51804110, 51905550), the Science and Technology Innovation Program of Hunan Province (2021RC2094), Hunan Provincial Natural Science Foundation of China (Grant 2020JJ4583, 2017JJ3292) and Scientific Research Project of Hunan Education Department (Grant 19C1756).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing interests
The authors declare that they have no conflict of interest regarding the publication of this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhang, K., Zhang, Y., Liu, J. et al. Research on Spatial Kinematics and Cutting Load Characteristics of TBM Disc Cutters. Geotech Geol Eng 41, 337–352 (2023). https://doi.org/10.1007/s10706-022-02285-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10706-022-02285-5