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Abstract

In certain operational conditions, gear transmission systems are susceptible to oil leakage, which can result in a loss of lubrication. This degradation of the lubrication condition within the reducer leads to a significant increase in temperature, which can induce gear surface scuffing and ultimately lead to gear transmission failure. Thus, it is crucial to investigate the mechanism of lubrication failure in gears during this process to enhance the reliability and performance of gear transmission systems. Based on the theory of gear Elastohydrodynamic Lubrication, according to the research steps of establishing gear surface equation, obtaining contact trace and load distribution factor, and then deducing entrainment speed and gear surface contact area, the research on key parameters analysis of gear contact and Elastohydrodynamic Lubrication is summarized. Next, the construction and solution methods of the Elastohydrodynamic Lubrication control equation of the gear are analyzed, the advantages and disadvantages of each solution method are compared, the Elastohydrodynamic Lubrication modeling is completed, and the influence of changes in key parameters on the lubrication characteristics of the gear is analyzed. Furthermore, the research on gear lubrication under dry-running conditions is reviewed, and gear lubrication failure prediction and fluid mechanics simulation methods are analyzed. Finally, the development trend of this research field is projected. This provides a reference for the study of gear dry running.

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2025-10-24
2026-02-28
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References

  1. Dowson D. Higginson G.R. A numerical solution to the elastohydrodynamic problem. Proc Inst Mech Eng. Part C 2009 223 1 114 4
    [Google Scholar]
  2. Wu R. Matlab in the analysis of tooth contact of arc-toothed bevel gears. J Mech Transm 2004 06 33 35
    [Google Scholar]
  3. Pan C Wen X Profile formula derivation of the involute spherical gears J Natl Univ Def Technol 2004 04 93 8 https://oversea.cnki.net/KCMS/detail/detail.aspx?dbcode=CJFD&dbname=CJFD2004&filename=GFKJ200404020&uniplatform=OVERSEA&v=IHIPILTH5-T7pwnODwXMHDyGToSjylq3a0vkng1QFLLIr2-tA6FTVbyw1XFJ314f
    [Google Scholar]
  4. Li Q. A new method of constructing tooth surface for logarithmic spiral bevel gear. Proc Inst Mech Eng Part C 2010 129-131 235
    [Google Scholar]
  5. Liu Z. Zhang M. Digital design and manufacturing technology II. Proceedings of the Global Conference on Digital Design and Manufacturing Technology Hangzhou, China January 23-25, 2011 67 171 10.4028/www.scientific.net/AMR.215.167
    [Google Scholar]
  6. Wu C. Cao P. The application of tooth contact analysis in the shaper modification for face-gear. Procedia Eng. 2015 99 94 100 10.1016/j.proeng.2014.12.512
    [Google Scholar]
  7. Li Q. Yang G.W. Yan H.B. Calculation equation of tooth face of shaping gear for logarithmic spiral bevel gear. Appl. Mech. Mater. 2012 215-216 1076 1080 10.4028/www.scientific.net/AMM.215‑216.1076
    [Google Scholar]
  8. Li D. Gong J. Liu Y. Dong C. Huang C. Zhao G. Design and tooth geometric trait analysis of helical noncircular gears based on a novel mathematical model. J. Mech. Sci. Technol. 2024 38 3 1355 1369 10.1007/s12206‑024‑0228‑4
    [Google Scholar]
  9. Hu H. Chen J. Equipment for automatically photographing and measuring meshed contact mark of spiral bevel gear C.N. Patent CN106534805 2017
    [Google Scholar]
  10. Cao W. Pu W. Wang J. Xiao K. Effect of contact path on the mixed lubrication performance, friction and contact fatigue in spiral bevel gears. Tribol. Int. 2018 123 359 371 10.1016/j.triboint.2018.03.015
    [Google Scholar]
  11. Liu S. Song C. Zhu C. Ni G. Ullah N. Concave and convex modifications analysis for skewed beveloid gears considering misalignments. Mechanism Mach. Theory 2019 133 127 149 10.1016/j.mechmachtheory.2018.11.012
    [Google Scholar]
  12. Berlinger B.E. Jr Colbourne J.R. Conjugate gears with continuous tooth flank contact U.S. Patent US10527149 2020
    [Google Scholar]
  13. Guo R. Wei Y. Liu Y. Li D. Yang D. Zhao G. Analytical solution to contact characteristics for a variable hyperbolic circular-arc-tooth-trace cylindrical gear. Mechatronics 2021 12 2 923 932 10.5194/ms‑12‑923‑2021
    [Google Scholar]
  14. Mo S. Song W. Song Y. Zhang Y. Huang Y. A modeling and tooth contact analysis method of parabolic modified face gear. Proc. Inst. Mech. Eng., C J. Mech. Eng. Sci. 2022 236 14 8150 8168 10.1177/09544062221080338
    [Google Scholar]
  15. Tan R. Zhang W. Guo X. Chen B. Shu R. An analytical framework of the kinematic geometry for general point-contact gears from contact path. Proc. Inst. Mech. Eng., C J. Mech. Eng. Sci. 2022 236 11 6363 6382 10.1177/09544062211065000
    [Google Scholar]
  16. Cao W. He T. Pu W. Xiao K. Dynamics of lubricated spiral bevel gears under different contact paths. Friction 2022 10 2 247 267 10.1007/s40544‑020‑0477‑x
    [Google Scholar]
  17. Zhang J. Gao J. Double-arc spiral bevel gear tooth surface contact analysis method C.N. Patent 116579094 2023
    [Google Scholar]
  18. Zhou W. Zhu R. Li Z. Liu W. Wang J. Mu F. Theoretical and experimental research on tooth root bending stress of face gear. Proc. Inst. Mech. Eng., C J. Mech. Eng. Sci. 2024 238 14 7172 7188 10.1177/09544062241228009
    [Google Scholar]
  19. Ni G. Liu Z. Song C. Liu S. Dong Y. Cao Y. Geometric parameter design and contact characteristics of beveloid gear and involute cylindrical gear transmission with crossed axes. J. Mech. Sci. Technol. 2024 38 2 815 825 10.1007/s12206‑024‑0128‑7
    [Google Scholar]
  20. Xiao X. Chen Z. Chen Y. Shao Y. Zheng M. Meshing equation, tooth contact analysis, stress analysis and manufacture of a point-contact gear formed by double-arc milling cutter. Proc. Inst. Mech. Eng., C J. Mech. Eng. Sci. 2024 238 15 7870 7882 10.1177/09544062241234549
    [Google Scholar]
  21. Shi J. Gou X. Zhu L. Five-state engaging model and dynamics of gear-rotor-bearing system based on time-varying contact analysis considering gear temperature and lubrication. Appl. Math. Model. 2022 112 47 77 10.1016/j.apm.2022.07.028
    [Google Scholar]
  22. Shi J. Ye C. Wang Y. Multi-state meshing-impact nonlinear dynamics modeling and analysis of a geared system with gear-tooth flexibility. J Vib Eng Technol 2025 13 4 226 10.1007/s42417‑025‑01775‑z
    [Google Scholar]
  23. Shu X. Study on tooth load of involute gear with few teeth difference. J Mech Transm 1994 06 1 4 10.16255/j.cnki.ldxbz.1991.02.009
    [Google Scholar]
  24. Luo L. Meshing stiffness and contact trace load distribution coefficient K1 of single circular arc gear. J Xi’an Univ Technol 1994 06 1 4 10.16183/j.cnki.jsjtu.1994.06.020
    [Google Scholar]
  25. Du H. Calculation of contact trace load distribution coefficient K1 of double circular arc gear J Zhengzhou Text Inst 1999 03 78 82 https://oversea.cnki.net/KCMS/detail/detail.aspx?dbcode=CJFD&dbname=CJFD9899&filename=ZZZA199903017&uniplatform=OVERSEA&v=DldVt2BRZlEPUc22S-ujoBl6KMcXOV7Y6pls0upWY6uUd45jP4kb36yFtFR38d8I
    [Google Scholar]
  26. Li S Guo J Determination of inter-tooth load distribution coefficient using finite element method for contact problems J Civ Environ Eng 2007 https://oversea.cnki.net/KCMS/detail/detail.aspx?dbcode=CJFD&dbname=CJFD2007&filename=JIAN200702034&uniplatform=OVERSEA&v=laqTZV6OCFXOjfdHnunJWB_6j6R_hiMKVG3GpzGt18T92AlFetSxBv77hO-S5C5d 02 138 40
    [Google Scholar]
  27. Min J Wang Z Zhang X Multi-level fuzzy comprehensive evaluation of involute gear load coefficient based on Matlab. Machinery 2008 04 26 30 https://oversea.cnki.net/KCMS/detail/detail.aspx?dbcode=CJFD&dbname=CJFD2008&filename=MECH200804009&uniplatform=OVERSEA&v=2_7Q5pc7cmxPqMfZEWd-JXpl3p7lWP2T4PuyRK1yT0SEtT1ePwlvJHUEyukckjlj
    [Google Scholar]
  28. Zijie F. Chi J. Changliang C. Liangjin G. Weiqi D. Cylindrical gear tooth direction load distribution coefficient acquiring method C.N. Patent 107944174 2018
    [Google Scholar]
  29. Du J. Mao J. Cui Y. Liu K. Zhao G. Theoretical and experimental study on load sharing of a novel power split spiral bevel gear transmission. Adv. Mech. Eng. 2018 10 6 1687814018779490 10.1177/1687814018779490
    [Google Scholar]
  30. Liu W. Wang H. Li Z. Hu Y. Zhu M. Calculation method for load coefficient in uniform load test of planetary gearbox C.N. Patent 113065097 2021
    [Google Scholar]
  31. Xuegang Z. Inter-tooth load distribution coefficient solving method based on finite element method C.N. Patent 115983063 2023
    [Google Scholar]
  32. Wang H. Han Z. Zhou Y. Shi W. Shan W. Cao Z. Bearing contact analysis of modified gears based on time-varying meshing stiffness. Mod Mach Tool Autom Process Technol 2024 04 181 186
    [Google Scholar]
  33. Guo F. Wong P.L. Yang P. Yagi K. Film formation in EHL point contacts under zero entraining velocity conditions. Tribol. Trans. 2002 45 4 521 530 10.1080/10402000208982583
    [Google Scholar]
  34. Koo Y.P. Transient EHL analysis on spur gear teeth with consideration of gear kinematics. J. Mech. Des. 2000 18 1319 1326 10.1007/BF02984246
    [Google Scholar]
  35. Pu W. Wang J. Zhang Y. Zhu D. A theoretical analysis of the mixed Elastohydrodynamic Lubrication in elliptical contacts with an arbitrary entrainment angle. J. Tribol. 2014 136 4 041505 10.1115/1.4028126
    [Google Scholar]
  36. Mo S. Zhang T. Jin G. Zhu S. Gong J. Bian J. Elastohydrodynamic Lubrication characteristics of spiral bevel gear subjected to shot peening treatment. Math. Probl. Eng. 2018 2018 1 12 10.1155/2018/3043712
    [Google Scholar]
  37. Wang R. Zhang X. Wei X. Dong Y. Zhang Q. Elastohydrodynamic Lubrication performance of curvilinear cylindrical gears based on finite element method. Comput. Model. Eng. Sci. 2025 142 2 1585 1609 10.32604/cmes.2025.059580
    [Google Scholar]
  38. Mo G. Liu C. Liu G. Liu F. Improved nonlinear dynamic model of helical gears considering frictional excitation and fractal effects in backlash. Machines 2025 13 4 262 10.3390/machines13040262
    [Google Scholar]
  39. Simon V.V. Influence of tooth modifications on load distribution in face hobbled spiral bevel gears. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference New York, NY 2012 135 147
    [Google Scholar]
  40. Wu Y. Wang J. Han Q. Li Q. Tooth profile modification of helical gears and experimental study based on finite element contact analysis. J Aerosp Power 2011 26 2 409 415
    [Google Scholar]
  41. He J. Huang P. Yang Q. Measuring method and measuring device of elastohydrodynamic lubrication line contact pressure based on photoelasticity C.N. Patent 103063355 2013
    [Google Scholar]
  42. Bahk C.J. Parker R.G. Analytical investigation of tooth profile modification effects on planetary gear dynamics. Mechanism Mach. Theory 2013 70 298 319 10.1016/j.mechmachtheory.2013.07.018
    [Google Scholar]
  43. Su J. Yan Z. Wu W. Feng S. Geometric contact analysis method for gear pair C.N. Patent 109992877 2019
    [Google Scholar]
  44. Ma D. Liu Y. Ye Z. Wei Y. Liu J. Analysis of the tooth surface contact area of a circular-arc-tooth-trace cylindrical gear under load. Trans. FAMENA 2021 45 1 79 94 10.21278/TOF.451018220
    [Google Scholar]
  45. Lu F. Li M. Wang J. Method and system for predicting dry running time of spiral bevel gear C.N. Patent 116070453 2023
    [Google Scholar]
  46. Ni H. Zhao J. Zhu X. Yang Y. Liu Y. Li Q. New biomimetic approach for multi-objective optimization decision-making of collaborative gear hobbling and grinding. Front. Mech. Eng. 2024 19 1 1 12
    [Google Scholar]
  47. Wen S. Huang P. Tian Y. Ma L. Principles of tribology. 5th ed Beijing Tsinghua University Press 2018
    [Google Scholar]
  48. Hou K. Wen S. The numerical solution to line contact elastohydrodynamic problems under heavy load. Wear 1986 111 3 325 327 10.1016/0043‑1648(86)90191‑2
    [Google Scholar]
  49. Hou K.P. Zhu D. Wen S.Z. An inverse solution to the point contact EHL problem under heavy loads. J. Tribol. 1987 109 3 432 436 10.1115/1.3261466
    [Google Scholar]
  50. Venner C.H. Lubrecht A.A. Multigrid techniques: A fast and efficient method for the numerical simulation of elastohydrodynamically lubricated point contact problems. Proc. Inst. Mech. Eng., Part J J. Eng. Tribol. 2000 214 1 43 62 10.1243/1350650001543007
    [Google Scholar]
  51. Wang Y. Zhou Y. Li X. Li B. Zhou J. Applicable numerical methods for the Elastohydrodynamic Lubrication of aeronautical spiral bevel gears. MTH 2001 6 15 17
    [Google Scholar]
  52. Ouyang T. Chen N. Zhao J. Wang P. Numerical simulation of the Elastohydrodynamic Lubrication of spur gears based on finite long line contact. J. Southwest Univ. 2015 45 4 696 700
    [Google Scholar]
  53. Awati V.B. Naik S. Mahesh Kumar N. Multigrid method for the solution of EHL line contact with bio-based oils as lubricants. Appl Math Nonlinear Sci 2016 1 2 359 368 10.21042/AMNS.2016.2.00031
    [Google Scholar]
  54. Awati V.B. Obannavar P.M. Nanjaiah M.K. Multigrid method for the solution of thermal elastohydrodynamic lubrication point contact problem with surface asperities. Mech Eng Adv 2023 1 1 94 10.59400/mea.v1i1.94
    [Google Scholar]
  55. Patel R. Khan Z.A. Bakolas V. Saeed A. Numerical simulation of the lubricant-solid interface using the multigrid method. Lubricants 2023 11 6 233 10.3390/lubricants11060233
    [Google Scholar]
  56. Marian M. Mursak J. Bartz M. Profito F.J. Rosenkranz A. Wartzack S. Predicting EHL film thickness parameters by machine learning approaches. Friction 2023 11 6 992 1013 10.1007/s40544‑022‑0641‑6
    [Google Scholar]
  57. Singh A. Wolf M. Jacobs G. König F. Machine learning based surrogate modelling for the prediction of maximum contact temperature in EHL line contacts. Tribol. Int. 2023 179 108166 10.1016/j.triboint.2022.108166
    [Google Scholar]
  58. Kelley J. Schneider V. Poll G. Marian M. Enhancing practical modeling: A neural network approach for locally-resolved prediction of elastohydrodynamic line contacts. Tribol. Int. 2024 199 109988 10.1016/j.triboint.2024.109988
    [Google Scholar]
  59. Yu G. Zhao Y. Fu Z. Chen Z. Application of back propagation neural network in the analysis of isothermal elastohydrodynamic lubrication. Tribol. Int. 2024 198 109883 10.1016/j.triboint.2024.109883
    [Google Scholar]
  60. Wang Y. Transient isothermal elastohydrodynamic numerical analysis of high-speed spiral bevel gears in point contact. HUST J Nat Sci 2001 10 68 71 10.13245/j.hust.2001.10.023
    [Google Scholar]
  61. Damiens B. Venner C.H. Cann P.M.E. Lubrecht A.A. Starved lubrication of elliptical EHD contacts. J. Tribol. 2004 126 1 105 111 10.1115/1.1631020
    [Google Scholar]
  62. Wang Y. Wu C. Tang W. Zhao X.F. Lv Q.J. Lian Y. Analysis on isothermal Elastohydrodynamic Lubrication of orthogonal face gear. Tribol. Trans. 2012 55 6 863 871 10.1080/10402004.2012.721920
    [Google Scholar]
  63. Lu F. Wang M. Pan W. Bao H. Ge W. CFD-based investigation of lubrication and temperature characteristics of an intermediate gearbox with splash lubrication. Appl. Sci. 2020 11 1 352 10.3390/app11010352
    [Google Scholar]
  64. Zhang X. Chen Z. Li J. Gearbox lubricating property testing method and device. C.N. Patent 111811813 2020
    [Google Scholar]
  65. Jian G. Wang Y. Zhang P. Li Y. Luo H. Analysis of lubrication performance for internal meshing gear pair considering vibration. J. Cent. South Univ. 2021 28 1 126 139 10.1007/s11771‑021‑4591‑3
    [Google Scholar]
  66. Walker J. Mohammadpour M. Theodossiades S. A multi-physics transient wear model for helical gear pairs. Tribol. Int. 2022 169 107463 10.1016/j.triboint.2022.107463
    [Google Scholar]
  67. Chunguang W. Zhijiang L. Method and system for analyzing thermal elastohydrodynamic lubrication characteristics of cycloidal pin wheel of RV speed reducer. C.N. Patent 117633458 2024
    [Google Scholar]
  68. Zhang H. Huang B. Ding Y. Hou X. Zhang J. Simulation calculation method for wind resistance and tooth surface lubrication of high-speed gear based on negative pressure regulation and control. C.N. Patent 116484530 2023
    [Google Scholar]
  69. Ma H. Tian H. Liu J. Planetary gear meshing stiffness calculation method considering elastohydrodynamic lubrication. C.N. Patent 118260937 2024
    [Google Scholar]
  70. Wang Y. Tong Y. Tang W. Chen Y. Wang T. Method for improving lubrication performance of spiral taper gear. C.N. Patent 102029442 2011
    [Google Scholar]
  71. Huang P. Yang Q. Chen Y. Novel elastohydrodynamic lubricating film thickness measuring method based on light interference. C.N. Patent 103196381 2013
    [Google Scholar]
  72. Zhang J.J. Guo F. Research on Thermoelastohydrodynamic Lubrication with orthogonal sliding and rolling. J. Tribol. 2015 4 477 484 10.16078/j.tribology.2015.04.017
    [Google Scholar]
  73. Liu M. Zhu C. Liu H. Wu C. Parametric studies of lubrication performance of a helical gear pair with non-Newtonian fluids. J. Mech. Sci. Technol. 2016 30 1 317 326 10.1007/s12206‑015‑1235‑2
    [Google Scholar]
  74. Zhao J. Wang Y. Zhang P. Jian G. A Newtonian thermal elastohydrodynamic lubrication model for ferrofluid‐lubricated involute spur gear pair. Lubr. Sci. 2020 32 2 33 45 10.1002/ls.1483
    [Google Scholar]
  75. Katyal P. Kumar P. Effect of arbitrary entrainment angle in Elastohydrodynamic Lubrication elliptical and circular contacts. Proc Inst Mech Eng. Part J 2020 234 4 424 434
    [Google Scholar]
  76. Huang X. Yang B. Wang Y. Zhou C. Influences of impulse excitation and vibration on thermoelastohydrodynamic characteristics of spur gear drive. Lubr. Sci. 2020 32 6 292 308 10.1002/ls.1503
    [Google Scholar]
  77. Luan X. Jin X. Hu Y. Straight gear elastohydrodynamic lubrication simulation analysis method based on fluid-structure interaction. C.N. Patent 114970379 2022
    [Google Scholar]
  78. Luo P. Wu Y. Liang S. Hou L. Fan Q. Wei Y. TEHL analysis of VH-CATT cylindrical gear transmission in elliptical contact considering time-varying parameters. Int. J. Adv. Manuf. Technol. 2022 14 1 15
    [Google Scholar]
  79. Wang Y. Lu B. Zhang Y. Liu P. Method for analyzing influence of jet parameters on elastohydrodynamic lubrication characteristics of aviation herringbone gear. C.N. Patent 115329634 2022
    [Google Scholar]
  80. Cao L. Cai J. Wang C. Yang T. Zhou W. Wang L. Effect of boundary slip on elastohydrodynamic lubrication with arbitrary entrainment angle in elliptical contacts. Ind. Lubr. Tribol. 2023 75 3 273 281 10.1108/ILT‑09‑2022‑0262
    [Google Scholar]
  81. Qiao Z. Zhou C. Su J. Jiang X. A novel dynamic heat-flow coupled model under spray lubrication for high-speed gears: CFD simulation and experimental validation. Simul. Model. Pract. Theory 2024 131 102867 10.1016/j.simpat.2023.102867
    [Google Scholar]
  82. Chu X. Liu Y. Shang Z. Study on oil film spreading characteristics on the jet lubricating tooth surface of aviation herringbone gear. Ind. Lubr. Tribol. 2024 75 1 12 10.1108/ILT‑08‑2023‑0250
    [Google Scholar]
  83. Gu C. Sheng X. Zhang D. Effect of surface roughness on the gear performance based on the mixed-THEL model. Ind. Lubr. Tribol. 2025 77 3 457 466 10.1108/ILT‑09‑2024‑0356
    [Google Scholar]
  84. Chimanpure A.S. Kahraman A. Talbot D. A Transient Mixed Elastohydrodynamic Lubrication Model for Helical Gear Contacts. J. Tribol. 2021 143 6 061601 10.1115/1.4048499
    [Google Scholar]
  85. Zhu D. Ren N. Wang Q.J. Pitting life prediction based on a 3D line contact mixed EHL analysis and subsurface von Mises stress calculation. J. Tribol. 2009 131 4 041501 10.1115/1.3195040
    [Google Scholar]
  86. Yuan J.H. Lin Z.J. Yan X.J. Transient temperature field analysis of spiral bevel gear transmission system under loss-of-lubrication conditions using Simulink. J Nor Univ Tech 2013 35 5 59 66
    [Google Scholar]
  87. Svoboda P. Kostal D. Krupka I. Hartl M. Experimental study of lubrication film formation in multiple contacts device under starved conditions. Proceedings of the ASME/STLE International Joint Tribology Conference (IJTC 2012) Denver, Colorado, USA October 7–10, 2012 233 235
    [Google Scholar]
  88. Radil K. Berkebile S. Failure progression of spur gears during a simulated loss-of-lubrication event in a rotorcraft drive system. Tribol. Trans. 2020 63 4 718 725 10.1080/10402004.2020.1737285
    [Google Scholar]
  89. Liu M. Ku H. Zhang J. Xu P. Wu C. Predicting fatigue life for finite line contact under starved Elastohydrodynamic Lubrication condition. Math. Probl. Eng. 2020 2020 1 14 10.1155/2020/5928621
    [Google Scholar]
  90. Wang Z. Pu W. Pei X. Cao W. Contact stiffness and damping of spiral bevel gears under transient mixed lubrication conditions. Friction 2022 10 4 545 559 10.1007/s40544‑020‑0479‑8
    [Google Scholar]
  91. Wang Y. Yang K. Tang W. Prediction and test of stable transmission time of spiral bevel gear during a loss-of-lubrication event in helicopter transmission system. Ind. Lubr. Tribol. 2022 74 1 111 117 10.1108/ILT‑08‑2021‑0341
    [Google Scholar]
  92. Qiao Z. Li T. Wang L. Yu Y. Tang H. Friction pair lubrication state judgment method under fluid lubrication condition. C.N. Patent 115310331 2022
    [Google Scholar]
  93. Xu X. Ren Z. Wang H. Qin D. A wear calculation method for helical gear based on irreversible thermodynamics. J. Tribol. 2023 145 5 051701 10.1115/1.4056370
    [Google Scholar]
  94. Pei J. Huang L. Zhao Y. Hou H. Pan Y. Gear lubrication reliability evaluation method and system. C.N. Patent 116502460 2023
    [Google Scholar]
  95. Leng S. Qian H. Yu J. Method for predicting temperature field of spur gears based on digital twin. C.N. Patent 116776597 2023
    [Google Scholar]
  96. Liu D. Liu D. Han F. Sun X. Dai M. Intelligent gear wear monitoring method based on digital twinning. C.N. Patent 116152749 2023
    [Google Scholar]
  97. Xiao Y. Wang S. Tang K. Zhang T. Guo Z. Sun X. Tooth surface analysis method based on thermo-mechanical coupling and its application in prediction of gear dry-running bearing capacity. Proc. Inst. Mech. Eng., E J. Process Mech. Eng. 2024 238 4 09544089241228115 10.1177/09544089241228115
    [Google Scholar]
  98. Zhou C. Xia N. Hou S. Cylindrical gear tooth surface friction coefficient prediction method and system based on machine learning. C.N. Patent 118709315 2024
    [Google Scholar]
  99. Zhao N. Wang L. Sun L. Prediction method and device for lubrication characteristics of face gear pairs based on neural network model. C.N. Patent 119647299 2025
    [Google Scholar]
  100. Yang Z. Gao M. Imamura S. Shiroya T. Delaunay J-J. Choi J. Lubrication state monitoring of sliding bearing based on triboelectric Stribeck curve. Nano Energy 2025 140 111059 10.1016/j.nanoen.2025.111059
    [Google Scholar]
  101. Shi C. Transient thermal analysis of spiral bevel gears under dry running conditions. Master's Thesis, Northeastern University: Shenyang 2009
    [Google Scholar]
  102. Ding Y. Zhu R. Li Z. Analysis of the main influencing coefficient s of transient temperature field of straight gear drive under starved lubrication. Mach Build Autom 2013 42 5 40 43
    [Google Scholar]
  103. Yan H. Zhou T. Huang G. Xiao M. Hu Z. Analysis of tooth surface temperature rise of spiral bevel gears under dry running. J Chin Soc Mech Eng 2016 40 7 22 26
    [Google Scholar]
  104. Ji R. Spray lubrication temperature field simulation analysis of herringbone gears. Master's Thesis, Nanjing University of Aeronautics and Astronautics: Nanjing 2017
    [Google Scholar]
  105. Wang Z. Xia F. Wan L. Thermal analysis of planetary gear system in helicopter main reducer. Helicopter Tech 2018 39 1 20 24
    [Google Scholar]
  106. Gan L. Xiao K. Wang J. Pu W. Cao W. A numerical method to investigate the temperature behavior of spiral bevel gears under mixed lubrication condition. Appl. Therm. Eng. 2019 147 866 875 10.1016/j.applthermaleng.2018.10.125
    [Google Scholar]
  107. Lu F. Bai X. Li M. Flow field simulation method and system in oil loss process of double-row tapered roller bearing. C.N. Patent CN113312728 2021
    [Google Scholar]
  108. Li M. Prediction method of lubrication state of spiral bevel gears for dry running requirements. Master's Thesis, Nanjing University of Aeronautics and Astronautics: Nanjing 2022
    [Google Scholar]
  109. Lu F.X. Li M. Wang J.H. Zhu R.P. Study on multi-dimensional coupled prediction of dry running time of spiral bevel gears. Aeronaut Soc China 2024 66 2 234 237
    [Google Scholar]
  110. Zhang S. Yan Z. Liu Z. Jiang Y. Sun H. Wu S. Experimental and numerical study of mixed lubrication considering boundary film strength. Materials 2023 16 3 1035 10.3390/ma16031035 36770042
    [Google Scholar]
  111. Zhang Q. Xiao Z. Zhou C. Tan H. Wang H. Simulation and analysis of gear meshing temperature field and parameter influence law under mixed lubrication. J. Tribol. 2024 44 12 1752 1763
    [Google Scholar]
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