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Continuation analysis and experiment in a drifter-rock model
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Wei MA1, 2, Jian ZHANG3, Xin JIANG4, Wenzhang WU2
Journal of Vibration Engineering | 2025, 38(7) : 1625 - 1637
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Journal of Vibration Engineering | 2025, 38(7): 1625-1637
Continuation analysis and experiment in a drifter-rock model
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Wei MA1, 2, Jian ZHANG3, Xin JIANG4, Wenzhang WU2
Affiliations
  • 1.School of Resources and Safety Engineering,University of Science and Technology Beijing,Beijing 100083,China
  • 2.Nanjing Baodi Meishan Industrial City Development Co., Ltd. Mining Branch,Nanjing 210041,China
  • 3.School of Mechanical Engineering,University of Science and Technology Beijing,Beijing 100083,China
  • 4.XCMG Construction Machinery Co., Ltd., Xuzhou 221004,China
Published: 2025-07-10 doi: 10.16385/j.cnki.issn.1004-4523.202403044
Outline
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The principle of the hydraulic drifter is introduced,and the process of drilling into rocks by the drifter is established as a physical model of rock with three-degree-of-freedom dry friction. The concept of rate of penetration (ROP) is introduced. The stick and non-stick modes are studied,explaining the differences between these two types of motion. The periodic trajectories of the nonlinear piecewise smooth dynamical system mathematical model are segmented. By using the pseudo-arclength continuation method and Floquet theory,the angular frequency and amplitude of the hydraulic force are taken as control parameters to obtain stable periodic trajectories and the point of maximum ROP. Bifurcations such as period-doubling bifurcation,saddle-node bifurcation,and torus bifurcation are discovered. The data acquisition system for drilling rocks with a hydraulic drifter is introduced,and the displacement and velocity of the piston obtained from the model and experiments are compared. The results indicate that to make the drifter work on the period-1 trajectory,the range of angular frequency should be ω<6.814,and the range of amplitude should be 0.03<a<3.051. There is a strong correlation between the experiments and the model,and compared with the experiment,the piston in the model undergoes deceleration before colliding with the drill tool,adding an impact deceleration stroke.

hydraulic drifter  /  rock model  /  continuation  /  Floquet multiplier
Wei MA, Jian ZHANG, Xin JIANG, Wenzhang WU. Continuation analysis and experiment in a drifter-rock model[J]. Journal of Vibration Engineering, 2025 , 38 (7) : 1625 -1637 . DOI: 10.16385/j.cnki.issn.1004-4523.202403044
Year 2025 volume 38 Issue 7
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.202403044
  • Receive Date:2024-03-19
  • Online Date:2026-02-09
  • Published:2025-07-10
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History
  • Received:2024-03-19
  • Revised:2024-07-16
Funding
Affiliations
    1.School of Resources and Safety Engineering,University of Science and Technology Beijing,Beijing 100083,China
    2.Nanjing Baodi Meishan Industrial City Development Co., Ltd. Mining Branch,Nanjing 210041,China
    3.School of Mechanical Engineering,University of Science and Technology Beijing,Beijing 100083,China
    4.XCMG Construction Machinery Co., Ltd., Xuzhou 221004,China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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