Startseite Technik Optimization of spur gear pairs for aerospace applications
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Optimization of spur gear pairs for aerospace applications

  • Burak Ocak

    Burak Ocak, born in 1992, is currently a PhD student at Computational Mechanics Department, Middle East Technical University, Turkey. He received his MSc at Middle East Technical University. He is working in Power Transmission Systems Department, Turkish Aerospace, Ankara, Turkey. He was in charge of modeling, writing and editing of this manuscript.

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Veröffentlicht/Copyright: 4. November 2022
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Abstract

High power applications at high speed create contact problems, increase heat sink values and transmission error (TE) during gear meshing. Hence, analyzing the gear mesh including helix angle effect, the optimization in terms of contact pressure and the transmission error reduction are all crucial for high-speed applications. In this study, meshing characteristics including helix angle based on different approaches, optimization of spur gears pairs in terms of the transmission error and contact stresses obtained from improved analytical method besides transmission design tools are all investigated for high-speed aerospace applications. Results reveal that significant transmission error reduction could be achieved by applying tip relief starting from the highest-point of single tooth contact for spur gears in aerospace applications. Hence, the need for higher contact ratio by helix angle inclusion for smoother transmission could be compensated by using tip-relief modified spur gears in gearbox since the heat sink values also need to be minimized by using relatively lower contact ratio. Results obtained from the improved analytical method by directly considering gear geometry including gear foundation effects based on direct deformation–summation approach are found in between AGMA (American Gear Manufacturers Association) standard and ISO (International Organization for Standardization) standard results.


Corresponding author: Fahrettin Ozturk, Mechanical Engineering, Ankara Yildirim Beyazit University, Etlik Ayvalı Street 7, Ankara, 06010, Turkey, E-mail:

Funding source: Presidency of Defense Industries, Turkey for funding the project in cooperation with Turkish Aerospace Industries, Inc.

Award Identifier / Grant number: (Project Number: DDDKA1)

About the author

Burak Ocak

Burak Ocak, born in 1992, is currently a PhD student at Computational Mechanics Department, Middle East Technical University, Turkey. He received his MSc at Middle East Technical University. He is working in Power Transmission Systems Department, Turkish Aerospace, Ankara, Turkey. He was in charge of modeling, writing and editing of this manuscript.

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: The authors would like to thank to Presidency of Defense Industries, Turkey for funding the project (Project Number: DDDKA1) in cooperation with Turkish Aerospace Industries, Inc.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

References

[1] T. Tobie, F. Hippenstiel, and H. Mohrbacher, “Optimizing gear performance by alloy modification of carburizing steels,” Metals, vol. 7, no. 10, 2017, Art. no. 415, https://doi.org/10.3390/met7100415.Suche in Google Scholar

[2] Y. Wu, J. Wang, and Q. Han, “Contact finite element method for dynamic meshing characteristics analysis of continuous engaged gear drives,” J. Mech. Sci. Technol., vol. 26, no. 6, pp. 1671–1685, 2012, https://doi.org/10.1007/s12206-012-0416-5.Suche in Google Scholar

[3] S. Li, “Effects of machining errors, assembly errors and tooth modifications on loading capacity, load-sharing ratio and transmission error of a pair of spur gears,” Mech. Mach. Theory, vol. 42, pp. 698–726, 2007, https://doi.org/10.1016/j.mechmachtheory.2006.06.002.Suche in Google Scholar

[4] H. Ma, J. Yang, R. Song, S. Zhang, and B. Wen, “Effects of tip relief on vibration responses of a geared rotor system,” Mech. Eng. Sci., vol. 228, no. 7, pp. 1132–1154, 2013, https://doi.org/10.1177/0954406213500615.Suche in Google Scholar

[5] H. Ma, X. Pang, R. Feng, R. Song, and B. Wen, “Fault features analysis of cracked gear considering the effects of the extended tooth contact,” Eng. Fail. Anal., vol. 48, pp. 105–120, 2015, https://doi.org/10.1016/j.engfailanal.2014.11.018.Suche in Google Scholar

[6] Z. Wan, H. Cao, Y. Zi, W. He, and Z. He, “An improved time-varying mesh stiffness algorithm and dynamic modelling of gear-rotor system with tooth root crack,” Eng. Fail. Anal., vol. 94, pp. 339–353, 2015, https://doi.org/10.106/J.ENGFAILANAL.2014.04.005.Suche in Google Scholar

[7] X. Liang, M. Zuo, and M. Pandey, “Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set,” Mech. Mach. Theory, vol. 76, pp. 20–38, 2014, https://doi.org/10.1016/j.mechmachtheory.2014.02.001.Suche in Google Scholar

[8] Z. Chen and Y. Shao, “Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth,” Eng. Fail. Anal., vol. 18, pp. 2149–2164, 2011, https://doi.org/10.1016/j.engfailanal.2011.07.006.Suche in Google Scholar

[9] H. Ma, R. Song, X. Pang, and B. Wen, “Time-varying mesh stiffness calculation of cracked spur gears,” Eng. Fail. Anal., vol. 44, pp. 179–194, 2014, https://doi.org/10.1016/j.engfailanal.2014.05.018.Suche in Google Scholar

[10] A. Fernandez del Rincon, F. Viadero, M. Iglesias, P. García, A. de-Juan, and R. Sancibrian, “A model for the study of meshing stiffness in spur gear transmissions,” Mech. Mach. Theory, vol. 61, pp. 30–58, 2013, https://doi.org/10.1016/j.mechmachthoery.2012.10.008.Suche in Google Scholar

[11] L. Chang, G. Liu, and L. Wu, “A robust model for determining the mesh stiffness of cylindrical gears,” Mech. Mach. Theory, vol. 87, pp. 93–114, 2015, https://doi.org/10.1016/j.mechmachtheory.2014.11.019.Suche in Google Scholar

[12] Q. Wang, K. Chen, B. Zhao, H. Ma, and X. Kong, “An analytical-finite-element method for calculating mesh stiffness of spur gear pairs with complicated foundation and crack,” Eng. Fail. Anal., vol. 94, pp. 339–353, 2018, https://doi.org/10.1016/j.engfailanal.2018.08.013.Suche in Google Scholar

[13] N. L. Pedersen and M. F. Jørgensen, “On gear tooth stiffness evaluation,” Comput. Struct., vol. 135, pp. 109–117, 2014, https://doi.org/10.1016/j.compstruc.2014.01.023.Suche in Google Scholar

[14] Y. Pandya and A. Parey, “Experimental investigation of spur gear tooth mesh stiffness in the presence of crack using photoelasticity technique,” Eng. Fail. Anal., vol. 34, pp. 488–500, 2013, https://doi.org/10.1016/j.engfailanal.2013.07.005.Suche in Google Scholar

[15] K. Raghuwanshi and A. Parey, “Experimental measurement of mesh stiffness by laser displacement sensor technique,” Measurement, vol. 128, pp. 63–70, 2018, https://doi.org/10.1016/j.measurement.2018.06.035.Suche in Google Scholar

[16] W. J. Qin and C. Y. Guan, “An investigation of contact stresses and crack initiation in spur gears based on finite element dynamics analysis,” Int. J. Mech. Sci., vol. 83, pp. 96–103, 2014, https://doi.org/10.1016/j.ijmecsci.2014.03.035.Suche in Google Scholar

[17] Y. Sun, H. Ma, Y. Huangfu, K. Chen, and L. Che, “A revised time-varying mesh stiffness model of spur gear pairs with tooth modifications,” Mech. Mach. Theory, vol. 129, pp. 261–278, 2018, https://doi.org/10.1016/j.mechmachtheory.2018.08.003.Suche in Google Scholar

[18] Q. Wang and Y. Zhang, “A model for analyzing stiffness and stress in a helical gear pair with tooth profile errors,” J. Vib. Control, vol. 23, no. 2, pp. 272–289, 2017, https://doi.org/10.1177/1077546315576828.Suche in Google Scholar

[19] S. C. Hwang, J. H. Lee, D. H. Lee, S. H. Hana, and K. H. Lee, “Contact stress analysis for a pair of mating gears,” Math. Comput. Model., vol. 57, pp. 40–49, 2013, https://doi.org/10.1016/j.mcm.2011.06.055.Suche in Google Scholar

[20] C. Weber and K. Banaschek, The Deformation of Loaded Gears and the Effect on their Load-Carrying Capacity, Sponsored Research (Germany), London, British Dept. of Sci. and Ind. Res., Report No. 3, 1949.Suche in Google Scholar

[21] P. Sainsot, P. Velex, and O. Duverger, “Contribution of gear body to tooth deflections -A new bidimensional analytical formula,” J. Mech. Des., vol. 126, pp. 748–752, 2004, https://doi.org/10.1115/1.1758252.Suche in Google Scholar

[22] M. Feng, H. Ma, Z. Li, Q. Wang, and B. Wen, “An improved analytical method for calculating time-varying mesh stiffness of helical gears,” Meccanica, vol. 53, pp. 1131–1145, 2018, https://doi.org/10.1007/s11012-017-0746-6.Suche in Google Scholar

[23] Y. Cai, “Simulation on the rotational vibration of helical gears in consideration of the tooth separation phenomenon (a new stiffness function of helical involute tooth pair),” J. Mech. Des., vol. 117, no. 3, pp. 460–469, 1995, https://doi.org/10.1115/1.2826701.Suche in Google Scholar

[24] X. Gu, P. Velex, P. Sainsot, and J. Bruye`re, “Analytical investigations on the mesh stiffness function of solid spur and helical gears,” ASME J. Mech. Des., vol. 137, no. 6, 2015, https://doi.org/10.1115/1.4030272.Suche in Google Scholar

[25] F. Mengjiao, Q. Wang, H. Ma, and Z. Li, “An improved analytical method for calculating time-varying mesh stiffness of helical gears,” Meccanica, vol. 53, pp. 1131–1145, 2018, https://doi.org/10.1007/s11012-017-0746-6.Suche in Google Scholar

[26] S. S. Patil, S. Karuppanan, I. Atanasovska, and A. A. Wahab, “Contact stress analysis of helical gear pairs, including frictional coefficients,” Int. J. Mech. Sci., vol. 85, pp. 205–211, 2014, https://doi.org/10.1016/j.ijmecsci.2014.05.013.Suche in Google Scholar

[27] A. Shehata, M. A. Adnan, and O. Mohammed, “Modeling the effect of misalignment and tooth microgeometry on helical gear pair in mesh,” Eng. Fail. Anal., vol. 106, pp. 104–109, 2019, https://doi.org/10.1016/j.engfailanal.2019.104190.Suche in Google Scholar

[28] N. Geren, Ç. Uzay, and M. Bayramoğlu, “Introducing gear ratings and AGMA conversion factors for the steel spur gear design under bending fatigue,” Mater. Test., vol. 59, nos. 11–12, pp. 1043–1053, 2017, https://doi.org/10.3139/120.1111055.Suche in Google Scholar

Published Online: 2022-11-04
Published in Print: 2022-11-25

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