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Research on tooth profile modification based on system dynamic characteristics under thermoelastic coupling condition

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Abstract

The tooth profile modification was considered as a part of the static error of a gear transmission system. Subsequently, the thermodynamic equation of the system after the tooth profile modification was derived by introducing the equivalent static transmission error and thermal meshing stiffness. The effect of the tooth profile modification on the dynamic characteristics of the gear transmission system under the thermoelastic coupling condition was systematically analysed. Then the optimal thermal tooth profile modification method of gear which considered the thermal dynamic characteristics was obtained. The results indicate that the tooth profile modification is equivalent to increasing the load excitation of the system, and the load increment is equal to the sum of the products of the meshing stiffness and modification amount of each related single tooth pair. After modification, the response of the system dynamic error tends to be constant, and the dynamic load coefficient is approximately 1.0.

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References

  1. Fernandez Del Rincon A, Viadero F, Iglesias M, García P, de-Juan A, Sancibrian R (2013) A model for the study of meshing stiffness in spur gear transmissions. Mech Mach Theory 61:30–58

    Article  Google Scholar 

  2. Chen ZG, Shao YM (2013) Mesh stiffness of an internal spur gear pair with ring gear rim deformation. Mech Mach Theory 69:1–12

    Article  Google Scholar 

  3. Luo B, Li W, Yu J (2016) tooth profile modification of spur gear based on fuzzy comprehensive decision. Chin J Eng 30(10):1458

    Google Scholar 

  4. Lin J, Parker RG (1999) Analytical characterization of the unique properties of planetary gear free vibration. J Vib Acoust 121:316–321

    Article  Google Scholar 

  5. Li YZ, Ding K, He GL, Lin HB (2016) Vibration mechanisms of spur gear pair in healthy and fault states. Mech Syst Signal Process 81:183–201

    Article  ADS  Google Scholar 

  6. Liu CZ, Qin DT, Lim TC, Liao YH (2014) Dynamic characteristics of the herringbone planetary gear set during the variable speed process. J Sound Vib 333(24):6498–6515

    Article  ADS  Google Scholar 

  7. Ren ZH, Xie JX, Zhou SH, Wen BC (2015) Vibration characteristic analysis of helical gear–rotor–bearing system with coupled lateral–torsional–axial. Chin J Mech Eng 51(15):75–89

    Article  Google Scholar 

  8. Wang JG, He GY, Zhang J, Zhao YX, Yao Y (2017) Nonlinear dynamics analysis of the spur gear system for railway iocomotive. Mech Syst Signal Process 85:41–55

    Article  ADS  Google Scholar 

  9. Chen SY, Tang JY, Luo CW, Wang QB (2011) Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction. Mech Mach Theory 46(4):466–478

    Article  MATH  Google Scholar 

  10. Ma H, Pang X, Feng RJ, Wen BC (2016) Evaluation of optimum profile modification curves of profile shifted spur gears based on vibration responses. Mech Syst Signal Process 70–71:1131–1149

    Article  Google Scholar 

  11. Hu ZH, Tang JY, Zhong J, Chen SY, Yan HY (2016) Effects of tooth profile modification on dynamic responses of a high speed gear-rotor-bearing system. Mech Syst Signal Process 76–77:294–318

    Article  Google Scholar 

  12. Ma H, Yang J, Song RZ, Zhang SY, Wen BC (2014) Effects of tip relief on vibration responses of a geared rotor system. Proc Inst Mech Eng C J Mech Eng Sci 228(7):1132–1154

    Article  Google Scholar 

  13. Motahar H, Samani FS, Molaie M (2016) Nonlinear vibration of the bevel gear with teeth profile modification. Nonlinear Dyn 83(4):1875–1884

    Article  Google Scholar 

  14. Chapron M, Velex P, Bruyere J, Becquerelle S (2016) Optimization of profile modifications with regard to dynamic tooth loads in single and double-helical planetary gears with flexible ring-gears. J Mech Des 138:023301-1–023301-11

    Article  Google Scholar 

  15. Saxena A, Chouksey M, Parey A (2017) Effect of mesh stiffness of healthy and cracked gear tooth on modal and frequency response characteristics of geared rotor system. Mech Mach Theory 107:261–273

    Article  Google Scholar 

  16. Hu ZH, Tang JY, Zhong J, Chen SY (2016) frequency spectrum and vibration analysis of high speed gear-rotor system with tooth root crack considering transmission error excitation. Eng Fail Anal 60:405–441

    Article  Google Scholar 

  17. Han QK, Zhao JS, Chu FL (2012) Dynamic analysis of a geared rotor system considering a slant crack on the shaft. J Sound Vib 331(26):5803–5823

    Article  ADS  Google Scholar 

  18. Mohammed OD, Rantatalo M (2016) Dynamic response and time-frequency analysis for gear tooth crack detection. Mech Syst Signal Process 66–67:612–624

    Article  Google Scholar 

  19. Yu WN, Mechefske CK (2017) Effects of tooth plastic inclination deformation due to spatial cracks on the dynamic features of a gear system. Nonlinear Dyn 87(4):2643–2659

    Article  Google Scholar 

  20. Yu J, Zhu H, Li Z (2016) The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration. Nonlinear Dyn 84(1):203–222

    Article  Google Scholar 

  21. Shao YM, Chen ZG (2013) Dynamic features of planetary gear set with tooth plastic inclination deformation due to tooth root crack. Nonlinear Dyn 74(4):1253–1266

    Article  Google Scholar 

  22. Yu WN, Mechefske CK, Timusk M (2017) The dynamic coupling behaviour of a cylindrical geared rotor system subjected to gear eccentricities. Mech Mach Theory 107:105–122

    Article  Google Scholar 

  23. Yang Y, Wang JY, Wang XR, Dai YP (2016) A general method to predict unbalance responses of geared rotor systems. J Sound Vib 381:246–263

    Article  ADS  Google Scholar 

  24. Cao Z, Shao YM, Rao M, Yu WN (2018) Effects of the gear eccentricities on the dynamic performance of a planetary gear set. Nonlinear Dyn 91(1):1–15

    Article  Google Scholar 

  25. Wang QB, Zhang YM (2016) Vibration characteristics analysis of a spur gear rotor system with the pitch deviation. Chin J Mech Eng 52(13):131–140

    Article  Google Scholar 

  26. Talbot D, Sun A, Kahraman A (2016) Impact of tooth indexing errors on dynamic factors of spur gears: experiments and model simulations. ASME J Mech Des 138(09):093302

    Article  Google Scholar 

  27. Inalpolat M, Handschuh M, Kahraman A (2015) Influence of indexing errors on dynamic response of spur gear pairs. Mech Syst Signal Process 60–61:391–405

    Article  Google Scholar 

  28. Luo B, Li W, Li LS (2017) Research on thermal stiffness of gear based on thermo-elastic coupling. J Cent South Univ 48(12):3209–3215

    Google Scholar 

  29. Luo B, Li W (2017) Influence factors on bulk temperature field of gear. Proc IMechE J J Eng Tribol 231(8):953–964

    Article  Google Scholar 

  30. Chen ZG, Shao YM (2013) Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack. Mech Mach Theory 62:63–74

    Article  Google Scholar 

  31. Li S (2015) A thermal tribo-dynamic mechanical power loss model for spur gear pair. Tribol Int 88:170–178

    Article  Google Scholar 

  32. Khabou MT, Bouchaala N, Chaari F, Fakhfakh T, Haddar M (2011) Study of a spur gear dynamic behavior in transient regime. Mech Syst Signal Process 25:3089–3101

    Article  ADS  Google Scholar 

  33. Ghosh SS, Chakraborty G (2016) On optimal tooth profile modification for reduction of vibration and noise in spur gear pairs. Mech Mach Theory 105:145–163

    Article  Google Scholar 

  34. He S, Gunda R, Singh R (2007) Effect of sliding friction on the dynamics of spur gear pair with realistic time-varying stiffness. J Sound Vib 301:927–949

    Article  ADS  Google Scholar 

  35. Thomson WT (1983) Theory of vibration with applications, 2nd edn. George Allen & Unwin Ltd., London

    MATH  Google Scholar 

Download references

Funding

The study was funded by the National Natural Science Foundation of China. [Grant Number 51775036] and Natural Science Foundation of Hunan Province [Grant Number 2018JJ3440].

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Authors and Affiliations

  1. School of Mechanical Engineering, University of South China, Hengyang, 421001, China

    Biao Luo

  2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Wei Li

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  1. Biao Luo
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  2. Wei Li
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Correspondence to Biao Luo.

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Luo, B., Li, W. Research on tooth profile modification based on system dynamic characteristics under thermoelastic coupling condition. Meccanica 54, 1499–1513 (2019). https://doi.org/10.1007/s11012-019-01046-8

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  • DOI: https://doi.org/10.1007/s11012-019-01046-8

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