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Fatigue performances of helicopter gears

  • Onur Can Kalay is a Ph.D. Candidate in the Department of Mechanical Engineering at the Bursa Uludag University in Turkey. He was born in 1995. He received his B.Sc. degree in Mechanical Engineering from Bursa Uludag University, Turkey, in 2017. His research interests include experiments and numerical simulations of power transmission systems and early fault diagnosis with artificial intelligence.

    ,

    Celalettin Yuce is an Assistant Professor in the Department of Mechanical Engineering at the Bursa Uludag University in Turkey. He was born in 1987. He earned M.Sc. and Ph.D. degrees in Mechanical Engineering from Bursa Uludag University, Turkey, in 2013 and 2018, respectively. His research interests include manufacturing methods, experimental performance analysis of gears, and materials testing.

    ,

    Oğuz Doğan is a researcher in the Department of Mechanical Engineering at the Kahramanmaras Sutcu Imam University in Turkey. He was born in 1990. He received M.Sc. and Ph.D. degrees in Mechanical Engineering from Bursa Uludag University, Turkey, in 2015 and 2020, respectively. His research interests include experiments and numerical simulation of power transmission systems and computer-aided design.

    ,

    Tufan Gürkan Yılmaz is a Lecturer in the Orhangazi Yeniköy Asil Çelik Vocational School at the Bursa Uludag University in Turkey. He was born in 1989. He earned M.Sc. and Ph.D. degrees in Mechanical Engineering from Bursa Uludag University, Turkey, in 2015 and 2020, respectively. His research interests include experiments and numerical simulation of power transmission systems and computer-aided design.

    ,

    Esin Karpat received her M.S., and Ph.D. degrees in Electronics Engineering from the Bursa Uludag University, Bursa, in 1996, 2002, and 2009, respectively. Since 2013, she has been an Assistant Professor with the Electronics Engineering Department, Bursa Uludag University. Her research interests include high-antenna design, wave propagation, and microwave imaging.

    ,

    Osman Kopmaz is a Full Professor in the Department of Mechanical Engineering at the Bursa Uludag University in Turkey. He was born in 1956. He earned B.Sc., M.Sc., and Ph.D. degrees in Mechanical Engineering from Istanbul Technical University, Turkey, in 1977, 1980, 1988, respectively. His research interests include dynamic analysis of machines, mechanical vibrations, and mathematical modeling.

    and

    Fatih Karpat is a Full Professor in the Department of Mechanical Engineering at the Bursa Uludag University in Turkey. He was born in 1977. He earned B.Sc., M.Sc., and Ph.D. degrees in Mechanical Engineering from Uludag University, Turkey, in 1998, 2001, 2005, respectively. His research interests include experiments and numerical simulation of power transmission systems and advanced joining technology.

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Published/Copyright: January 9, 2023
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Abstract

Gears are widely used machine elements to transmit power and motion in the industry. During the power transmission, the gears are subjected to cyclic loads. Thus the fatigue resistance of the gears should be deeply investigated. In particular, this issue is gaining much more importance in the space and aviation fields. In this study, the fatigue life of gears made of 9310-VIM-VAR steel used in the aviation field was determined experimentally, and the crack propagation paths obtained were numerically verified. To this end, the SAE J1619 standard single-tooth bending fatigue test apparatus was redesigned and manufactured in order to adapt it to the helicopter gears. Totally 28 single-tooth bending fatigue tests were carried out for various loading conditions. Accordingly, the S–N curves for the helicopter gears were created. The experimental results were verified by the finite element fatigue crack propagation analysis in terms of the initial crack location, crack initialization angle, and crack propagation paths. Conducted experiments and numerical studies are found as compatible with each other.


Corresponding author: Fatih Karpat, Department of Mechanical Engineering, Bursa Uludag University, 16059, Bursa, Turkey, E-mail:

Funding source: Turkish Aerospace Inc.

Award Identifier / Grant number: TM2081

About the authors

Onur Can Kalay

Onur Can Kalay is a Ph.D. Candidate in the Department of Mechanical Engineering at the Bursa Uludag University in Turkey. He was born in 1995. He received his B.Sc. degree in Mechanical Engineering from Bursa Uludag University, Turkey, in 2017. His research interests include experiments and numerical simulations of power transmission systems and early fault diagnosis with artificial intelligence.

Celalettin Yuce

Celalettin Yuce is an Assistant Professor in the Department of Mechanical Engineering at the Bursa Uludag University in Turkey. He was born in 1987. He earned M.Sc. and Ph.D. degrees in Mechanical Engineering from Bursa Uludag University, Turkey, in 2013 and 2018, respectively. His research interests include manufacturing methods, experimental performance analysis of gears, and materials testing.

Oğuz Doğan

Oğuz Doğan is a researcher in the Department of Mechanical Engineering at the Kahramanmaras Sutcu Imam University in Turkey. He was born in 1990. He received M.Sc. and Ph.D. degrees in Mechanical Engineering from Bursa Uludag University, Turkey, in 2015 and 2020, respectively. His research interests include experiments and numerical simulation of power transmission systems and computer-aided design.

Tufan Gürkan Yılmaz

Tufan Gürkan Yılmaz is a Lecturer in the Orhangazi Yeniköy Asil Çelik Vocational School at the Bursa Uludag University in Turkey. He was born in 1989. He earned M.Sc. and Ph.D. degrees in Mechanical Engineering from Bursa Uludag University, Turkey, in 2015 and 2020, respectively. His research interests include experiments and numerical simulation of power transmission systems and computer-aided design.

Esin Karpat

Esin Karpat received her M.S., and Ph.D. degrees in Electronics Engineering from the Bursa Uludag University, Bursa, in 1996, 2002, and 2009, respectively. Since 2013, she has been an Assistant Professor with the Electronics Engineering Department, Bursa Uludag University. Her research interests include high-antenna design, wave propagation, and microwave imaging.

Osman Kopmaz

Osman Kopmaz is a Full Professor in the Department of Mechanical Engineering at the Bursa Uludag University in Turkey. He was born in 1956. He earned B.Sc., M.Sc., and Ph.D. degrees in Mechanical Engineering from Istanbul Technical University, Turkey, in 1977, 1980, 1988, respectively. His research interests include dynamic analysis of machines, mechanical vibrations, and mathematical modeling.

Fatih Karpat

Fatih Karpat is a Full Professor in the Department of Mechanical Engineering at the Bursa Uludag University in Turkey. He was born in 1977. He earned B.Sc., M.Sc., and Ph.D. degrees in Mechanical Engineering from Uludag University, Turkey, in 1998, 2001, 2005, respectively. His research interests include experiments and numerical simulation of power transmission systems and advanced joining technology.

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

  2. Research funding: This research work was supported by the Bursa Uludag University and Turkish Aerospace Inc. (grant number: TM2081).

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

References

[1] O. C. Kalay, O. Doğan, T. G. Yılmaz, C. Yüce, and F. Karpat, “A comparative experimental study on the impact strength of standard and asymmetric involute spur gears,” Measurement, vol. 172, pp. 1–10, 2021, https://doi.org/10.1016/j.measurement.2020.108950.Search in Google Scholar

[2] X. Wang, Y. Yang, W. Wang, and W. Chi, “Simulating coupling behavior of spur gear meshing and fatigue crack propagation in tooth root,” Int. J. Fatigue, vol. 134, pp. 1–8, 2020, https://doi.org/10.1016/j.ijfatigue.2019.105381.Search in Google Scholar

[3] O. Demir, “Three-dimensional modeling of non-planar fatigue crack growth in spur gear tooth using tetrahedral finite elements,” Eng. Fract. Mech., vol. 252, pp. 1–17, 2021, https://doi.org/10.1016/j.engfracmech.2021.107857.Search in Google Scholar

[4] I. Čular, K. Vučković, D. Žeželj, and S. Glodež, “Analytical approach for low and high cycle bending fatigue life prediction of carburized gear steel specimens,” Eng. Failure Anal., vol. 108, pp. 1–12, 2020, https://doi.org/10.1016/j.engfailanal.2019.104328.Search in Google Scholar

[5] O. Doğan and F. Karpat, “Crack detection for spur gears with asymmetric teeth based on the dynamic transmission error,” Mech. Mach. Theory, vol. 133, pp. 417–431, 2019, https://doi.org/10.1016/j.mechmachtheory.2018.11.026.Search in Google Scholar

[6] L. Bonaiti, A. B. M. Bayoumi, F. Concli, F. Rosa, and C. Gorla, “Gear root bending strength: a comparison between single tooth bending fatigue tests and meshing gears,” J. Mech. Des., vol. 143, no. 10, pp. 1–8, 2021, https://doi.org/10.1115/1.4050560.Search in Google Scholar

[7] N. V. Namboothiri and P. Marimuthu, “Investigation of fracture behaviour of asymmetric spur gear,” Theor. Appl. Fract. Mech., vol. 114, pp. 1–13, 2021, https://doi.org/10.1016/j.tafmec.2021.102991.Search in Google Scholar

[8] F. Concli, L. Fraccaroli, and L. Maccioni, “Gear root bending strength: a new multiaxial approach to translate the results of single tooth bending fatigue tests to meshing gears,” Metals, vol. 11, no. 863, pp. 1–15, 2021, https://doi.org/10.3390/met11060863.Search in Google Scholar

[9] D. B. Stringer, B. D. Dykas, K. E. LaBerge, A. J. Zakrajsek, and R. F. Handschuh, “A new high-speed, high-cycle, gear-tooth bending fatigue test capability,” NASA, Ohio, USA, Techn. Rep. No. ARL-TR-5506, 2011.Search in Google Scholar

[10] Y. Wei and Y. Jiang, “Fatigue fracture analysis of gear teeth using XFEM,” Trans. Nonferrous Met. Soc. China, vol. 29, no. 10, pp. 2099–2108, 2019, https://doi.org/10.1016/S1003-6326(19)65116-2.Search in Google Scholar

[11] R. Thirumurugan and N. Gnanasekar, “Investigation of the effect of load distribution along the face width and load sharing between the pairs in contact on the fracture parameters of the spur gear tooth with root crack,” Eng. Failure Anal., vol. 97, pp. 518–533, 2019, https://doi.org/10.1016/j.engfailanal.2019.01.051.Search in Google Scholar

[12] M. A. Ghaffari, E. Pahl, and S. Xiao, “Three dimensional fatigue crack initiation and propagation analysis of a gear tooth under various load conditions and fatigue life extension with boron/epoxy patches,” Eng. Fract. Mech., vol. 135, pp. 126–146, 2015, https://doi.org/10.1016/j.engfracmech.2014.12.022.Search in Google Scholar

[13] I. J. Hong, A. Kahraman, and N. Anderson, “A rotating gear test methodology for evaluation of high-cycle tooth bending fatigue lives under fully reversed and fully released loading conditions,” Int. J. Fatigue, vol. 133, pp. 1–13, 2020, https://doi.org/10.1016/j.ijfatigue.2019.105432.Search in Google Scholar

[14] W. Li, S. Deng, and B. Liu, “Experimental study on the influence of different carburized layer depth on gear contact fatigue strength,” Eng. Failure Anal., vol. 107, pp. 1–14, 2020, https://doi.org/10.1016/j.engfailanal.2019.104225.Search in Google Scholar

[15] O. Doğan, C. Yuce, and F. Karpat, “Effects of rim thickness and drive side pressure angle on gear tooth root stress and fatigue crack propagation life,” Eng. Failure Anal., vol. 122, pp. 1–18, 2021, https://doi.org/10.1016/j.engfailanal.2021.105260.Search in Google Scholar

[16] K. Vučković, I. Galić, Ž. Božić, and S. Glodež, “Effect of friction in a single-tooth fatigue test,” Int. J. Fatigue, vol. 114, pp. 148–158, 2018, https://doi.org/10.1016/j.ijfatigue.2018.05.005.Search in Google Scholar

[17] F. Karpat, O. Doğan, T. Yilmaz, et al.., “Effects of drive side pressure angle on gear fatigue crack propagation life for spur gears with symmetric and asymmetric teeth,” in 2019 International Mechanical Engineering Congress Exposition, Salt Lake City, USA, Proc. of ASME, 2019, pp. 1–8.10.1115/IMECE2019-11510Search in Google Scholar

[18] O. Doğan, O. C. Kalay, and F. Karpat, “Effects of crack initialization angle on crack propagation path of thin rim gears for wind turbines,” Uludag U. J. Eng., vol. 25, pp. 217–230, 2020, https://doi.org/10.17482/uumfd.663845.Search in Google Scholar

[19] B. Gueye, Y. Shao, and Z. Chen, “Prediction of gear tooth crack propagation path based on pseudo evolutionary structural optimization,” Int. J. COMADEM, vol. 20, pp. 29–34, 2017.Search in Google Scholar

[20] H. Cetinel and B. Yilmaz, “Stress analyses of pump gears produced by powder metallurgy,” Mater. Test., vol. 55, no. 5, pp. 369–373, 2013, https://doi.org/10.3139/120.110444.Search in Google Scholar

[21] F. Karpat, C. Yuce, and O. Doğan, “Experimental measurement and numerical validation of single tooth stiffness for involute spur gears,” Measurement, vol. 150, pp. 1–9, 2020, https://doi.org/10.1016/j.measurement.2019.107043.Search in Google Scholar

[22] A. S. Sener, “Fatigue life evaluation of an electrically driven shuttle frame using finite element analysis,” Mater. Test., vol. 63, no. 4, pp. 329–335, 2021, https://doi.org/10.1515/mt-2020-0048.Search in Google Scholar

[23] M. E. Wagner, W. D. Mark, and A. C. Isaacson, “Implementation of the Average-Log-Ratio ALR gear-damage detection algorithm on gear-fatigue-test recordings,” Mech. Syst. Signal Process., vol. 154, pp. 1–19, 2021, https://doi.org/10.1016/j.ymssp.2020.107590.Search in Google Scholar

[24] S. Balli and F. Sen, “Performance evaluation of artificial neural networks for identification of failure modes in composite plates,” Mater. Test., vol. 63, no. 6, pp. 565–570, 2021, https://doi.org/10.1515/mt-2020-0094.Search in Google Scholar

[25] N. Geren, C. Uzay, and M. Bayramoglu, “Introducing gear ratings and AGMA conversion factors for the steel spur gear design under bending fatigue,” Mater. Test., vol. 59, pp. 11–12, 2017, https://doi.org/10.3139/120.111105.Search in Google Scholar

[26] G. Gasparini, U. Mariani, C. Gorla, M. Filippini, and F. Rosa, “Bending fatigue tests of helicopter case carburized gears: influence of material, design and manufacturing parameters,” Gear Technol., vol. 11, no. 12, pp. 68–76, 2009.Search in Google Scholar

[27] A. A. Sanders, D. R. Houser, A. Kahraman, J. Harianto, and S. Shon, “An experimental investigation of the effect of tooth asymmetry and toot root shape on root stresses and single tooth bending fatigue life of gear teeth,” in 2011 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Washington, DC, USA, Proc. of ASME, 2011, pp. 1–9.10.1115/DETC2011-48303Search in Google Scholar

[28] E. Concrado, C. Gorla, P. Davoli, and M. Boniardi, “A comparison of bending fatigue strength of carburized and nitrided gears for industrial applications,” Eng. Failure Anal., vol. 78, pp. 41–54, 2017, https://doi.org/10.1016/j.engfailanal.2017.03.006.Search in Google Scholar

[29] F. Concli, “Tooth root bending strength of gears: dimensional effect for small gears having a module below 5 mm,” Appl. Sci., vol. 11, no. 2416, pp. 1–11, 2021, https://doi.org/10.3390/app11052416.Search in Google Scholar

[30] R. F. Handschuh, T. L. Krantz, B. A. Lerch, and C. S. Burke, “Investigation of low-cycle bending fatigue of AISI 9310 steel spur gears,” NASA, Ohio, USA, Techn. Rep. No. ARL-TR-4100, 2007.10.1115/DETC2007-34095Search in Google Scholar

[31] D. G. Lewicki, “Crack propagation studies to determine Benign or catastrophic failure modes for aerospace thin-rim gears,” NASA, Ohio, USA, Techn. Rep. No. ARL-TR-971, 1996.Search in Google Scholar

[32] R. Thirumurugan and N. Gnanasekar, “Influence of finite element model, load-sharing and load distribution on crack propagation path in spur gear drive,” Eng. Failure Anal., vol. 110, pp. 1–15, 2020, https://doi.org/10.1016/j.engfailanal.2020.104383.Search in Google Scholar

[33] S. Pehan, J. Kramberger, J. Flašker, and B. Zafošnik, “Investigation of crack propagation scatter in a gear tooth’s root,” Eng. Fract. Mech., vol. 75, no. 5, pp. 1266–1283, 2008, https://doi.org/10.1016/j.engfracmech.2007.04.005.Search in Google Scholar

[34] A. A. Sanders, “An experimental investigation of the influence of elliptical root shapes and asymmetric teeth on root stresses and bending fatigue lives,” M.Sc. thesis, Department of Mechanical Engineering, The Ohio State University, Ohio, USA, 2010.Search in Google Scholar

[35] SAE J1619, “Single tooth gear bending fatigue test,” Techn. Rep. No. J1619_201712, 2017.Search in Google Scholar

[36] C. Yuce, O. Dogan, and F. Karpat, “Effects of asymmetric tooth profile on single-tooth stiffness of polymer gears,” Mater. Test., vol. 64, no. 4, pp. 513–523, 2022, https://doi.org/10.1515/mt-2021-2070.Search in Google Scholar

Published Online: 2023-01-09
Published in Print: 2023-01-27

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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