Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Study on the dynamic behavior of herringbone gear structure of marine propulsion system powered by double-cylinder turbines

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

Propulsion systems powered by double-cylinder turbines (DCT) are widely used in large-scale ships. However, the nonlinear instability leads to hidden dangers associated with the safe operation, and there is a lack of theoretical and systematic research on this problem. Based on the gear transmission principle and non-Newtonian thermal elastohydrodynamic lubrication (EHL) theory, a torsional model of a two-stage herringbone system forced by unsymmetrical load is established The nonlinear and time-varying factors of meshing friction, meshing stiffness, and gear pair backlash are included in the model, and multiple meshing states, including single- and double-sided impact are studied New nonlinear phenomena of the dynamic system are explored and the effects of the unsymmetrical load on the system stability are quantified. The results indicate that the stability of the gear system is improved, and that the back-sided impact gradually disappears with the increases of load ratio between the two inputs and the input load value. Furthermore, it is found that the gear pairs on the low-load side experience more severe vibration than those on the high-load side. Finally, the stability of the gear pairs decreases along the power transmission path of the multistage gear system. The results of this research will be useful when making predictions of the stability of such systems and in the optimization of the load parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Handschuh R F, Ehinger R, Sinusas E, et al. Double helical gear performance results in high speed gear trains. In: Proceedings of AHS 65th Annual Forum and Technology Display. Grapevine, 2009. 1–10

  2. Sondkar P, Kahraman A. A dynamic model of a double-helical planetary gear set. Mechanism Machine Theor, 2013, 70: 157–174

    Article  Google Scholar 

  3. Kang M R, Kahraman A. An experimental and theoretical study of the dynamic behavior of double-helical gear sets. J Sound Vib, 2015, 350: 11–29

    Article  Google Scholar 

  4. Dong J, Wang S, Lin H, et al. Dynamic modeling of double-helical gear with timoshenko beam theory and experiment verification. Adv Mech Eng, 2016, 8: 168781401664723

    Article  Google Scholar 

  5. Xiao Z L, Shi X. Investigation on stiffness and damping of transient non-newtonian thermal elastohydrodynamic point contact for crowned herringbone gears. Tribol Int, 2019, 137: 102–112

    Article  Google Scholar 

  6. Zhou C J, Ning L Y, Wang H Y, et al. Effects of centring error and angular misalignment on crack initiation life in herringbone gears. Eng Failure Anal, 2021, 120: 105082

    Article  Google Scholar 

  7. Krantz T L, Rashidi M, Kish J G. Split torque transmission load sharing. Proc Institution Mech Engineers Part G-J Aerospace Eng, 1994, 208: 137–148

    Article  Google Scholar 

  8. Wolff A V. Analysis of a split-path gear train with fluid-film bearings. Dissertation for Master’s Degree. Blacksburg: Virginia Polytechnic Institute and State University, 2004

    Google Scholar 

  9. Kozik B. An analysis of criterion for choosing constructional solutions for aeronautical multi-power path gear units. J KONES, 2011, 18: 169–175

    Google Scholar 

  10. Pacana J, Pacana A. The impact of geometry errors on the motion transmission of dual path gearing. Adv Sci Technol Res J, 2016, 10: 94–100

    Article  Google Scholar 

  11. Yang H Y. Analysis of load sharing characteristics of 2 input helicopter main reducer split-torque transmission system. Dissertation for Master’s Degree. Nanjing: Nanjing University of Aeronautics and Astronautics, 2016

    Google Scholar 

  12. Shi D H, Wang S H, Pisu P, et al. Modeling and optimal energy management of a power split hybrid electric vehicle. Sci China Tech Sci, 2017, 60: 713–725

    Article  Google Scholar 

  13. Jin G H, Ren W, Zhu R P, et al. Influence of backlash on load sharing and dynamic load characteristics of twice split torque transmission system. J Vib Eng Technol, 2019, 7: 565–577

    Article  Google Scholar 

  14. Xu J H, Jiao C X, Zou D L, et al. Dynamic evolution laws of the DI-SO helical gear system with unsymmetrical load inputs. J Vib Eng Technol, 2021, doi: https://doi.org/10.1007/s42417-021-00299-6

  15. Andersson A, Vedmar L. A dynamic model to determine vibrations in involute helical gears. J Sound Vib, 2003, 260: 195–212

    Article  Google Scholar 

  16. Hedlund J, Lehtovaara A. A parameterized numerical model for the evaluation of gear mesh stiffness variation of a helical gear pair. Proc Institution Mech Engineers Part C-J Mech Eng Sci, 2008, 222: 1321–1327

    Article  Google Scholar 

  17. Chen Z G, Zhai W M, Shao Y M, et al. Mesh stiffness evaluation of an internal spur gear pair with tooth profile shift. Sci China Tech Sci, 2016, 59: 1328–1339

    Article  Google Scholar 

  18. Wan Z G, Cao H R, Zi Y Y, et al. Mesh stiffness calculation using an accumulated integral potential energy method and dynamic analysis of helical gears. Mechanism Machine Theor, 2015, 92: 447–463

    Article  Google Scholar 

  19. Liu W, Li R, Zhang J H, et al. Study on correction algorithm of time-varying mesh stiffness of helical gears and its influencing factors. J Hunan Univ Nat Sci, 2018, 45: 1–10

    Google Scholar 

  20. Ma H, Zeng J, Feng R, et al. An improved analytical method for mesh stiffness calculation of spur gears with tip relief. Mechanism Machine Theor, 2016, 98: 64–80

    Article  Google Scholar 

  21. Feng M, Ma H, Li Z, et al. An improved analytical method for calculating time-varying mesh stiffness of helical gears. Meccanica, 2018, 53: 1131–1145

    Article  Google Scholar 

  22. Wang Q, Zhao B, Fu Y, et al. An improved time-varying mesh stiffness model for helical gear pairs considering axial mesh force component. Mech Syst Signal Process, 2018, 106: 413–429

    Article  Google Scholar 

  23. Chen K, Ma H, Che L, et al. Comparison of meshing characteristics of helical gears with spalling fault using analytical and finite-element methods. Mech Syst Signal Process, 2019, 121: 279–298

    Article  Google Scholar 

  24. Xu H. Development of a generalized mechanical efficiency prediction methodology for gear pairs. Dissertation for Doctoral Degree. Columbus: The Ohio State University, 2005

    Google Scholar 

  25. Xu H, Kahraman A, Anderson N E, et al. Prediction of mechanical efficiency of parallel-axis gear pairs. J Mech Des, 2007, 129: 58

    Article  Google Scholar 

  26. Liu Y, Zhang X J, Zhang Y M, et al. Experimental research on reasonable lubricant quantity for transmission gears used in high-speed train. Sci China Tech Sci, 2012, 55: 3455–3461

    Article  Google Scholar 

  27. Dong H, Zhang J, Wang L. Study on bifurcation characteristics of multi-clearance bending torsional coupling gear transmission based on ehl. Adv Mech Eng, 2020, 12: 168781402093750

    Article  Google Scholar 

  28. Gao H, Zhang Y. Nonlinear behavior analysis of geared rotor bearing system featuring confluence transmission. Nonlinear Dyn, 2014, 76: 2025–2039

    Article  Google Scholar 

  29. Yoon J Y, Kim B. Effect and feasibility analysis of the smoothening functions for clearance-type nonlinearity in a practical driveline system. Nonlinear Dyn, 2016, 85: 1651–1664

    Article  Google Scholar 

  30. Zhang T, Chen Z G, Zhai W M, et al. Effect of the drive system on locomotive dynamic characteristics using different dynamics models. Sci China Tech Sci, 2019, 62: 308–320

    Article  Google Scholar 

  31. Xie Z L, Shen N W, Zhu W D, et al. Theoretical and experimental investigation on the influences of misalignment on the lubrication performances and lubrication regimes transition of water lubricated bearing. Mech Syst Signal Processing, 2021, 149: 107211

    Article  Google Scholar 

  32. Han H S, Lee K H, Park S H. Parametric study to identify the cause of high torsional vibration of the propulsion shaft in the ship. Eng Failure Anal, 2016, 59: 334–346

    Article  Google Scholar 

  33. Feese T, Hill C. Guidelines for preventing torsional vibration problems in reciprocating machinery. In: Proceedings of the GMC Gas Machinery Conference. Nashville, 2002. 1–48

  34. Ren Z H, Xie J X, Zhou S H, et al. Vibration characteristic analysis of helical gear-rotor-bearing system with coupled lateral-torsional-axial. J Mech Eng, 2015, 51: 75–89

    Article  Google Scholar 

  35. Sainsot P, Velex P, Duverger O. Contribution of gear body to tooth deflections—A new bidimensional analytical formula. J Mech Des, 2004, 126: 748–752

    Article  Google Scholar 

  36. Farshidianfar A, Saghafi A. Global bifurcation and chaos analysis in nonlinear vibration of spur gear systems. Nonlinear Dyn, 2014, 75: 783–806

    Article  MathSciNet  Google Scholar 

  37. Wang X, Kang B. Effect of gear backlash function on the dynamics characteristic of helical gear. J Mech Transm, 2015, 39: 17–23

    Google Scholar 

  38. Margielewicz J, Gąska D, Litak G. Modelling of the gear backlash. Nonlinear Dyn, 2019, 97: 355–368

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to ZhuShi Rao.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 11802175).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xu, J., Jiao, C., Zou, D. et al. Study on the dynamic behavior of herringbone gear structure of marine propulsion system powered by double-cylinder turbines. Sci. China Technol. Sci. 65, 611–630 (2022). https://doi.org/10.1007/s11431-021-1916-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-021-1916-x