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Instability Mechanism of Marine Propulsion System with Double-Cylinder Turbines Considering the Effects of System Parameters: Symmetrical Layout and Unsymmetrical Load

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Abstract

Background

When the marine propulsion system with double-cylinder turbines (DCT) works, the phenomena of nonlinear instability such as structural impact, vibration, and noise often occur. The instability is the result of the combined effects of the symmetrical layout and unsymmetrical load. The purpose of this paper is to reveal the instability mechanism of this type of propulsion system theoretically.

Method

First, based on the theory of finite-width journal bearing and gear transmission principle, a lateral–torsional–axial model considering the inertial effects of DCT and the ship propeller is established. Second, the vibration characteristics of the system are studied by numerical analysis. At last, dynamic evolution laws of the coupled system with layout and load parameters are investigated, and the instability mechanism is revealed.

Results

The results indicate that the dynamic characteristics of the system show obvious load ratio-controlled zone and layout angle-controlled zone with the changing of the parameters. Furthermore, the vibration condition of the gear pairs on the low-load side is worse than that on the high-load side. Finally, as the stability of the system decreases, the influence of the oil whip gradually increases.

Conclusion

The research is of great significance for quantifying the stability of the propulsion system and predicting the system stability.

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References

  1. Kahraman A, Ozguven HN, Houser DR, Zakrajsek JJ (1992) Dynamic analysis of geared rotors by finite elements. J Mech Des 114:507–514

    Article  Google Scholar 

  2. Walha L, Fakhfakh T, Haddar M (2009) Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlash. Mech Mach Theory 44:1058–1069

    Article  Google Scholar 

  3. Baguet S, Jacquenot G (2010) Nonlinear couplings in a gear-shaft-bearing system. Mech Mach Theory 45:1777–1796

    Article  Google Scholar 

  4. Sondkar P, Kahraman A (2013) A dynamic model of a double-helical planetary gear set. Mech Mach Theory 70:157–174

    Article  Google Scholar 

  5. Dong JC, Wang SM, Lin H, Wang Y (2016) Dynamic modeling of double-helical gear with Timoshenko beam theory and experiment verification. Adv Mech Eng 8:1–14

    Google Scholar 

  6. Fernandez-del-Rincon A, Garcia P, Diez-Ibarbia A, De-Juan A, Iglesias M, Viadero F (2017) Enhanced model of gear transmission dynamics for condition monitoring applications: effects of torque, friction and bearing clearance. Mech Syst Signal Pr 85:445–467

    Article  Google Scholar 

  7. Wang S, Zhu R, Feng J (2020) Study on load sharing behavior of coupling gear-rotor-bearing system of GTF aero-engine based on multi-support of rotors. Mech Mach Theory 147:103764

    Article  Google Scholar 

  8. Zou D, Zhang J, Liu G, Na T, Rao Z (2020) Study on characteristics of propeller exciting force induced by axial vibration of propulsion shafting: Theoretical analysis. Ocean Eng 202:106942

    Article  Google Scholar 

  9. Zou D, Xu J, Zhang J, Lv F, Rao Z (2021) The hydroelastic analysis of marine propellers considering the effect of the shaft: Theory and experiment. Ocean Eng 221:108547

    Article  Google Scholar 

  10. Wang J, Li Q, Li R (2005) Research advances for nonlinear vibration of gear transmission systems. Adv Mech 35:37–51

    MathSciNet  Google Scholar 

  11. Hedlund J, Lehtovaara A (2008) A parameterized numerical model for the evaluation of gear mesh stiffness variation of a helical gear pair. Drive Syst Tech 222:1321–1327

    Google Scholar 

  12. Feng MJ, Ma H, Li ZW, Wang QB, Wen BC (2018) An improved analytical method for calculating time-varying mesh stiffness of helical gears. Meccanica 53:1131–1145

    Article  Google Scholar 

  13. Liu W, Li R, Zhang JH, Jiao LT, Yang Y (2018) Study on correction algorithm of time-varying mesh stiffness of helical gears and its influencing factors. J Hunan Univ (Nat Sci) 45:1–10

    Google Scholar 

  14. Chen KK, Ma H, Che LY, Li ZW, Wen BC (2019) Comparison of meshing characteristics of helical gears with spalling fault using analytical and finite-element methods. Mech Syst Signal Pr 121:279–298

    Article  Google Scholar 

  15. Xu H, Kahraman A, Anderson NE, Maddock DG (2007) Prediction of mechanical efficiency of parallel-axis gear pairs. J Mech Des 129:58–68

    Article  Google Scholar 

  16. Rocca E, Russo R (2011) Theoretical and experimental investigation into the influence of the periodic backlash fluctuations on the gear rattle. J Sound Vib 330:4738–4752

    Article  Google Scholar 

  17. Xiao ZL, Shi X (2019) Investigation on stiffness and damping of transient non-Newtonian thermal elastohydrodynamic point contact for crowned herringbone gears. Tribol Int 137:102–112

    Article  Google Scholar 

  18. Dong H, Zhang JW, Wang LB (2020) Study on bifurcation characteristics of multi-clearance bending torsional coupling gear transmission based on EHL. Adv Mech Eng 12:1–19

    Article  Google Scholar 

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

    Article  Google Scholar 

  20. Margielewicz J, GaSka D, Litak G (2019) Modelling of the gear backlash. Nonlinear Dyn 97:355–368

    Article  Google Scholar 

  21. Xie Z, Zhang Y, Zhou J, Zhu WD (2020) Theoretical and experimental research on the micro interface lubrication regime of water lubricated bearing. Mech Syst Signal Pr 151:107422

    Article  Google Scholar 

  22. Xie ZL, Rao Z (2022) An investigation on the lubrication characteristics of floating ring bearing with consideration of multi-coupling factors. Mech Syst Signal Pr 162:108086

    Article  Google Scholar 

  23. Wolff AV (2004) Analysis of a split-path gear train with fluid-film bearings. Virginia Polytechnic Institute and State University, Virginia

    Google Scholar 

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

    Google Scholar 

  25. Yang HY (2016) Analysis of load sharing characteristics of 2 input helicopter main reducer split-torque transmission system. Nanjing University of Aeronautics and Astronautics, Nanjing

    Google Scholar 

  26. Pacana J, Andrzej P (2016) The impact of geometry errors on the motion transmission of dual path gearing. Adv Sci Technol-Res 10:94–100

    Article  Google Scholar 

  27. Hu Z, Tang J, Wang Q, Chen S, Qian L (2020) Investigation of nonlinear dynamics and load sharing characteristics of a two-path split torque transmission system. Mech Mach Theory 152:103955

    Article  Google Scholar 

  28. Xu JH, Jiao CX, Zou DL, Ta N, Rao ZS (2021) Dynamic evolution laws of the DI-SO helical gear system with unsymmetrical load inputs. J Vib Eng Technol 21:1–18

    Google Scholar 

  29. Adiletta G, Guido AR, Rossi C (1996) Chaotic motions of a rigid rotor in short journal bearings. Nonlinear Dyn 10:251–269

    Article  Google Scholar 

  30. Yin M (2017) Study on dynamics of herringbone gear-rotor-journal bearing system with lubrication effects. Northwestern Polytechnical University, Xi’an

    Google Scholar 

  31. Cui Y, Liu Z, Wang Y, Ye J (2012) Nonlinear dynamic of a geared rotor system with nonlinear oil film force and nonlinear mesh force. J Vib Acoust 134:041001

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  33. Wang X, Kang B (2015) Effect of gear backlash function on the dynamics characteristic of helical gear. J Mech Transm 039:17–23

    Google Scholar 

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

    Article  Google Scholar 

  35. Wan ZG, Cao HR, Zi YY, He WP, Chen YM (2015) Mesh stiffness calculation using an accumulated integral potential energy method and dynamic analysis of helical gears. Mech Mach Theory 92:447–463

    Article  Google Scholar 

Download references

Funding

This study was supported by a grant from the National Natural Science Foundation of China (No. 11802175) and China Postdoctoral Science Foundation (No. 2019T120339). The authors express their gratitude.

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Correspondence to Zhushi Rao.

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The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

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Xu, J., Jiao, C., Zou, D. et al. Instability Mechanism of Marine Propulsion System with Double-Cylinder Turbines Considering the Effects of System Parameters: Symmetrical Layout and Unsymmetrical Load. J. Vib. Eng. Technol. 10, 253–271 (2022). https://doi.org/10.1007/s42417-021-00374-y

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  • DOI: https://doi.org/10.1007/s42417-021-00374-y

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