Abstract
Purpose
Thermal behavior is vital for the stability of the gear system, especially at high speed and heavy load. This paper establishes a gear-shaft-bearing coupling system dynamic model, considering the time-varying stiffness of gears and bearings. On this basis, an analysis method for the heat transfer and temperature field of the system is proposed.
Methods
The dynamic load and vibration displacement are first solved to determine the amount of heat flux generated by friction during system operation. This heat flux is then considered as a thermal load to perform a thermal analysis of a finite element model of the transmission system, and the validity of the model is verified by experiments. Finally, the effect of the dynamic characteristics on thermal behavior is studied.
Results and Conclusion
The temperature response of the transmission system considering the dynamic characteristics is quite different from that under normal working conditions. The heat transfer rate is accelerated, and the temperature response increases sharply when the system is in torsional resonance. Moreover, the adjustment of the gear position can effectively improve the high-temperature response, while the bending resonance of the shaft has little effect on the thermal behavior.
Similar content being viewed by others
References
Zhang, Junmiao. "Discussion and analysis of the reasons for the over-limit temperature of megawatt-level wind power gearboxes." Wind energy industry (November 2018): China agricultural machinery industry association wind machinery branch, 2018: 82–86.
Magalhes L et al (2010) Influence of tooth profile and oil formulation on gear power loss. Tribol Int 43(10):1861–1871
Yan C (2019) Study on optimizing the heat dissipation layout of wind turbine nacelle considering the effect of multiple heat sources. Shenyang University of Technology
Li W, Tian J (2017) Unsteady-state temperature field and sensitivity analysis of gear transmission. Tribol Int 116:229–243
Peng Y et al (2018) Non-Newtonian thermal elastohydrodynamic simulation of helical gears considering modification and misalignment. Tribol Int 124:46–60
Li S (2015) A thermal tribo-dynamic mechanical power loss model for spur gear Pairs. Tribol Int 88:170–178
Li S, Anisetti A (2016) On the flash temperature of gear contacts under the tribo-dynamic condition. Tribol Int 97:6–13
Gan L et al (2019) A numerical method to investigate the temperature behavior of spiral bevel gears under mixed lubrication condition. Appl Thermal Eng 147:866–875
Palmgren A (1946) Ball and Roller Bearing Engineering. Industries
D Astridge, C Smith (1972) Heat generation in high speed cylindrical roller bearings. ARCHIVE Proceedings of the Institution of Mechanical Engineers 1847–1982 (vols 1–196) (1972):83–84
Fernandes CMCG, Martins RC, Seabra JHO (2012) Friction torque of cylindrical roller thrust bearings lubricated with wind turbine gear oils. Tribol Int 59:121
Lei M et al (2016) Micro-contact EHL friction and heat generation analysis of high speed ball bearings. J Xi’an Jiaotong Univ 50:81–88
Maegawa S, Itoigawa F, Nakamura T (2016) A role of friction-induced torque in sliding friction of rubber materials. Tribol Int 93:182
Qinwen D (2017) Transient finite element simulation on friction heating of ball bearings. Chongqing University
Blok H (1937) Theoretical study of temperature rise at surface of actual contact under oiliness lubricating conditions. Proc Gen Discuss Lubr 2:222–235
Blok H (1969) The thermal network method for predicting bulk temperatures in gear transmissions. Proc 7th round table discussion on marine reduction gears Stal-Laval, Finspang, Sweden
Wu C, Yu L, Fang X (1998) A thermal network analysis of the automobile gearbox. J Huazhong Univ Sci Technol 26:63–66
Ma X, Li J, Chen G (2002) Experimentally supported stable thermal analysis of gearbox transmission system. J Northwest Polytech Univ 20:32–35
Wang J, Wei L, Shao P (2004) Thermal finite element analysis for transmission gearbox. J Mech Transm 28:7–9
Zhang G (2017) Thermal characteristics analysis of high speed transmission system of wind turbines. Beijing jiaotong university, Beijing
Sequeira C et al (2018) Analysis of the efficiency of wind turbine gearboxes using the temperature variable. Renew Energy 135(MAY):465–472
Touret T et al (2018) On the use of temperature for online condition monitoring of geared systems—a review. Mech Syst Signal Process 101:197–210
Marques PMT et al (2013) Power losses at low speed in a gearbox lubricated with wind turbine gear oils with special focus on churning losses. Tribol Int 62:186–197
Zhang X (2009) Thermal and structure characteristics analysis and research of case for wind turbine generator gearbox. Dalian University of Technology
G. Peng, D. Infield, Y. Xiyun (2011) Wind Turbine Gearbox Condition Monitoring Using Temperature Trend Analysis. Proceedings of the CSEE 031.032:129–136.
Hu C, Wang Y, Ling D (2017) Physical essence and influence of model parameters on dynamic response of Rayleigh damping. J Zhejiang Univ (Eng Sci) 51(007):1284–1290
Qiao Z, Zhou J, Zhang X (2019) Finite element modelling method for a two-stage spur gear transmission system under multi-source time-varying excitations. J Vib Shock 38(15):182–189
Harris TA, Kotzalas M (2009) Rolling bearing analysis. Mechanical Industry Press, Beijing
Handschuh RF (1993) Thermal behavior of spiral bevel gears. Case western reserve university
Shiming Y, Tao W (2006) Heat transfer, 4th edn. Higher education press, Beijing
Hu X, Liu S, Peng J (2015) Steady state thermal analysis of transmission shaft system of main reducer of helicopter. J Central South Univ (Sci Technol) 046(12):4469–4475
Funding
This work was supported in part by the National Natural Science Foundation of China (Grant NO. 51665054), in part by the Graduate Research and Innovation Project of Xinjiang Uygur Autonomous Region (Grant NO. XJ2020G052 and XJ2020G053).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Qiao, S., Zhou, J., Zhang, X. et al. Dynamic Thermal Behavior of Two-Stage Gear Transmission System. J. Vib. Eng. Technol. 9, 1809–1831 (2021). https://doi.org/10.1007/s42417-021-00329-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42417-021-00329-3