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Evaluation of the Effect of Friction in Gear Contact Stresses

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Tribology in Materials and Applications

Part of the book series: Materials Forming, Machining and Tribology ((MFMT))

Abstract

Stress analysis of gears has become a popular area of research in order to reduce failures and optimize the gear design. Friction between gears is detrimental to the gear surface contacts, but there is no effective method to determine the frictional effects on these contacts. Inclusion of friction in the study of gear contact is sparse. Also, friction depends on various other parameters, which in turn are ambiguous to evaluate. Hence, a quantitative study of frictional effects on gear contact problem is therefore essential. Thus, to solve the present problem, a dimensionless factor needs to be developed which would account for the friction in gear contact stress calculations. A simplified gear contact stress evaluation technique which includes friction needs to be developed. In this work, a 3D frictional Finite Element Method (FEM) was employed for the gear frictional study. Also, an experimental validation was carried out using a customised experimental setup, Gear Dynamic Stress Test Rig (GDSTR). The experimental results provided a good correlation with the results of the developed 3D FE models. The results from the validated FE models showed 15–22% rise in gear contact stresses for increased frictional coefficients, which is significant. The FE analysis was further extended and a parametric study was carried out. A dimensionless friction factor function was developed in this work to estimate the frictional gear contact stresses. The mathematically correlated Kf function was verified and its inclusion provides better frictional contact stress evaluation in gears, thus providing a simplified frictional measure in gear contact stress calculations.

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References

  1. V.L. Popov, in Introduction. Contact Mechanics and Friction: Physical Principles and Applications (Springer, Berlin, 2010), pp. 1–7

    Google Scholar 

  2. M. Mokhtari, D.J. Schipper, N. Vleugels, J.W.M. Noordermeer, Transversely isotropic viscoelastic materials: contact mechanics and friction. Tribol. Int. 97, 116–123 (2016)

    Article  Google Scholar 

  3. K.L. Johnson, Contact Mechanics, vol. 9 (Cambridge University Press, Cambridge, England, 2003)

    Google Scholar 

  4. F.L. Litvin, A. Seireg, Theory of gearing. J. Mech. Des. 114, 212 (1992)

    Article  Google Scholar 

  5. M. Amarnath, S. Lee, Assessment of surface contact fatigue failure in a spur geared system based on the tribological and vibration parameter analysis. Measurement 76, 32–44 (2015)

    Article  Google Scholar 

  6. W.J. Qin, C.Y. Guan, Contact fatigue crack initiation prediction of spur gears based on finite element dynamics analysis, in ICMFF10 (2015), pp. 1–8

    Google Scholar 

  7. C.-M. Hsieh, R.L. Huston, F.B. Oswald, Contact stresses in meshing spur gear teeth: use of an incremental finite element procedure. NASA Tech. Rep. 90, 1–22 (1992)

    Google Scholar 

  8. V. Nikolic, I. Atanasovska, The analysis of contact stress on meshed teeth’s flanks along the path of contact for a tooth pair. Facta Univ. 3, 1055–1066 (2003)

    Google Scholar 

  9. C. Gosselin, A review of the current contact stress and deformation formulations compared to finite element analysis, in International Gearing Conference, UK (1994)

    Google Scholar 

  10. M. Björling, Friction in Elastohydrodynamic Lubrication, Doctoral Thesis, Luleå University of Technology, 2014

    Google Scholar 

  11. V.L. Popov, in Rigorous Treatment of Contact Problems—Hertzian Contact, Contact Mechanics and Friction: Physical Principles and Applications (Springer, Berlin, 2010), pp. 55–70

    Chapter  Google Scholar 

  12. W.J. Qin, C.Y. Guan, An investigation of contact stresses and crack initiation in spur gears based on finite element dynamics analysis. Int. J. Mech. Sci. 83, 96–103 (2014)

    Article  Google Scholar 

  13. D.H. Johnson, Principles of simulating contact between parts using ANSYS, in International ANSYS Conference (2002)

    Google Scholar 

  14. S. Sezer, An Evaluation of Ansys Contact Elements, Master’s Thesis, Louisiana State University, 2005

    Google Scholar 

  15. Z. Wei, Stresses and Deformations in Involute Spur Gears By Finite Element Method, Master’s Thesis, University of Saskatchewan, 2004

    Google Scholar 

  16. N. Alemu, Analysis of Stresses in Helical Gears by Finite Element Method, Master’s Thesis, Addis Ababa University, 2007

    Google Scholar 

  17. I. Atanasovska, Finite element model for stress analysis and nonlinear contact analysis of helical gears. Sci. Tech. Rev. 64(1), 61–69 (2009)

    Google Scholar 

  18. S.S. Patil, S. Karuppanan, I. Atanasovska, A.A. Wahab, Contact stress analysis of helical gear pairs, including frictional coefficients. Int. J. Mech. Sci. 85(2014)

    Article  Google Scholar 

  19. S.S. Patil, S. Karuppanan, I. Atanasovska, Contact stress evaluation of involute gear pairs, including the effects of friction and helix angle. J. Tribol. 137(4), 044501 (2015)

    Article  Google Scholar 

  20. S.S. Patil, S. Karuppanan, I. Atanasovska, Experimental measurement of strain and stress state at the contacting helical gear pairs. Measurement 82, 313–322 (2016)

    Article  Google Scholar 

  21. S. He, R. Gunda, R. Singh, Inclusion of sliding friction in contact dynamics model for helical gears. J. Mech. Des. 129(1), 48 (2007)

    Article  Google Scholar 

  22. S. He, Effect of Sliding Friction on Spur and Helical gear, Ph.D. Thesis, The Ohio State University, 2008

    Google Scholar 

  23. M. Vaishya, R. Singh, Strategies for modeling friction in gear dynamics. J. Mech. Des. 125(2), 383 (2003)

    Article  Google Scholar 

  24. J. Sukumaran et al., Modelling gear contact with twin-disc setup. Tribol. Int. 49, 1–7 (2012)

    Article  CAS  Google Scholar 

  25. J. Kleemola, A. Lehtovaara, Experimental simulation of gear contact along the line of action. Tribol. Int. 42(10), 1453–1459 (2009)

    Article  Google Scholar 

  26. M. Ristivojević, T. Lazović, A. Vencl, Studying the load carrying capacity of spur gear tooth flanks. Mech. Mach. Theory 59, 125–137 (2013)

    Article  Google Scholar 

  27. R.G. Parker, S.M. Vijayakar, T. Imajo, Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons. J. Sound Vib. 237, 435–455 (2000)

    Article  Google Scholar 

  28. A. Mihailidis, I. Nerantzis, A new system for testing gears under variable torque and speed. Recent Patents Mech. Eng. 2, 179–192 (2009)

    Article  Google Scholar 

  29. M.A. Muraro, U.R. Jr, C. Henrique, The influence of contact stress distribution and specific film thickness on the wear of spur gears during pitting tests. J. Braz. Soc. Mech. Sci. Eng. 34(2) (2012)

    Article  Google Scholar 

  30. K.C. Stoker, A Finite Element Approach To Spur Gear Response and Wear Under Non-ideal Loading (University of Florida, 2009)

    Google Scholar 

  31. J. Hedlund, A. Lehtovaara, Modeling of helical gear contact with tooth deflection. Tribol. Int. 40(4), 613–619 (2007)

    Article  Google Scholar 

  32. T.T. Petry-Johnson, A. Kahraman, N. Anderson, D.R. Chase, Experimental investigation of spur gear efficiency, in Proceedings of the ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2007 (2007), pp. DETC2007-35045, pp. 1–12

    Google Scholar 

  33. H. Ding, Dynamic Wear Models for Gear Systems, Ph.D. Thesis, The Ohio State University, 2007

    Google Scholar 

  34. M. Slogen, Contact Mechanics in Gears, Master’s Thesis, Chalmers University of Technology, Sweden, 2013

    Google Scholar 

  35. S.-C. Hwang, J.-H. Lee, D.-H. Lee, S.-H. Han, K.-H. Lee, Contact stress analysis for a pair of mating gears. Math. Comput. Model. 57(1–2), 40–49 (2013)

    Article  Google Scholar 

  36. V.S.N.K. Bommisetty, Finite element analysis of spur gear set, Master’s Thesis, Cleveland State University, 2012

    Google Scholar 

  37. I. Atanasovska, R. Mitrović, D. Momčilović, A. Subic, Analysis of the nominal load effects on gear load capacity using the finite-element method. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 224(11), 2539–2548 (2010)

    Google Scholar 

  38. S.D. Patel, Finite Element Analysis of Stresses in Involute Spur and Helical Gear, Master’s Thesis, The University of Texas at Arlington, 2010

    Google Scholar 

  39. A.R. Hassan, Contact stress analysis of spur gear teeth pair. World Acad. Sci. Eng. Technol. 58, 611–616 (2009)

    Google Scholar 

  40. ANSI/AGMA, Fundamental rating factors calculation methods for invoule spur and helical gear teeth, in American National Standard, vol. 04 (American Gear Manufacturers Association, Alexandria, Virginia, 2001)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Manipal University Jaipur, Jaipur, 303007, India

    Santosh S. Patil

  2. Department of Mechanical Engineering, Universiti Teknologi PETRONAS, 32610, Bandar Seri Iskandar, Perak, Malaysia

    Saravanan Karuppanan

Authors
  1. Santosh S. Patil
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  2. Saravanan Karuppanan
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Corresponding author

Correspondence to Santosh S. Patil .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, SRM Institute of Science and Technology, Kattankulathur Campus, Chennai, Tamil Nadu, India

    Jitendra Kumar Katiyar

  2. Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    P. Ramkumar

  3. SRM Institute of Science and Technology, Tamil Nadu, India

    T. V. V. L. N. Rao

  4. Department of Mechanical Engineering, University of Aveiro, Aveiro, Portugal

    J. Paulo Davim

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Patil, S.S., Karuppanan, S. (2020). Evaluation of the Effect of Friction in Gear Contact Stresses. In: Katiyar, J., Ramkumar, P., Rao, T., Davim, J. (eds) Tribology in Materials and Applications. Materials Forming, Machining and Tribology. Springer, Cham. https://doi.org/10.1007/978-3-030-47451-5_12

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  • DOI: https://doi.org/10.1007/978-3-030-47451-5_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-47450-8

  • Online ISBN: 978-3-030-47451-5

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