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Mesh Stiffness Variation Due to the Effect of Back-Side Contact of Gears

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Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The information regarding the source of vibration and noise is vital and depends on time-varying mesh stiffness of gear. The mesh stiffness can be estimated for the spur gear pair using both drive-side mesh stiffness and back-side mesh stiffness. Due to tight mesh or use of anti-backlash gears, gear back-side tooth contact takes place. Back-side mesh stiffness is calculated by the similar method as used for drive-side mesh stiffness. In this study, an analytical method is used for calculating the time-varying back-side mesh stiffness. The effect of addendum alteration and tip relief on back-side mesh stiffness is analyzed by knowing the association among mesh stiffness of drive-side and back-side of contacting gears. Also, the effect of gear’s center distance modification, tooth thickness change on the backlash is calculated.

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References

  1. J.L. Dion, S. Le Moyne, G. Chevallier, H. Sebbah, Gear impacts and idle gear noise: experimental study and non-linear dynamic model. Mech. Syst. Signal Process. 23, 2608–2628 (2009). https://doi.org/10.1016/j.ymssp.2009.05.007

    Article  Google Scholar 

  2. Y. Guo, R.G. Parker, Analytical determination of back-side contact gear mesh stiffness. Mech. Mach. Theory 78, 263–271 (2014). https://doi.org/10.1016/j.mechmachtheory.2014.03.011

    Article  Google Scholar 

  3. Z. Chen, Y. Shao, Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack. Mech. Mach. Theory 62, 63–74 (2013). https://doi.org/10.1016/j.mechmachtheory.2012.10.012

    Article  Google Scholar 

  4. Z. Chen, Y. Shao, Dynamic features of a planetary gear system with tooth crack under different sizes and inclination angles. J. Vib. Acoust. 135, 31004 (2013). https://doi.org/10.1115/1.4023300

    Article  Google Scholar 

  5. O.D. Mohammed, M. Rantatalo, J.O. Aidanpää, U. Kumar, Vibration signal analysis for gear fault diagnosis with various crack progression scenarios. Mech. Syst. Signal Process. 41, 176–195 (2013). https://doi.org/10.1016/j.ymssp.2013.06.040

    Article  Google Scholar 

  6. Z. Chen, W. Zhai, Y. Shao, K. Wang, G. Sun, Analytical model for mesh stiffness calculation of spur gear pair with non-uniformly distributed tooth root crack. Eng. Fail. Anal. 66, 502–514 (2016). https://doi.org/10.1016/j.engfailanal.2016.05.006

    Article  Google Scholar 

  7. O.D. Mohammed, M. Rantatalo, J.O. Aidanpää, Improving mesh stiffness calculation of cracked gears for the purpose of vibration-based fault analysis. Eng. Fail. Anal. 34, 235–251 (2013). https://doi.org/10.1016/j.engfailanal.2013.08.008

    Article  Google Scholar 

  8. Tian X, Dynamic simulation for system response of gearbox including localized gear faults. M.Sc. thesis, University of Alberta, Edmonton, Alberta, Canada (2004)

    Google Scholar 

  9. Luo Yang, Natalie Baddour, Ming Liang, Effects of gear center distance variation on time varying mesh stiffness of a spur gear pair. Eng. Fail. Anal. 75, 37–53 (2017)

    Article  Google Scholar 

  10. Q. Wang, K. Chen, B. Zao, H. Ma, X. Kong, An analytical-finite-element method for calculating mesh stiffness of spur gear pairs with complicated foundation and crack. Eng. Fail. Anal. 94, 339–353 (2018)

    Article  Google Scholar 

  11. H. Ma, X. Pang, J. Zeng, Q. Wang, B. Wen, Effects of gear crack propagation paths on vibration responses of the perforated gear system. Mech. Syst. Signal Process. 62, 113–128 (2015). https://doi.org/10.1016/j.ymssp.2015.03.008

    Article  Google Scholar 

  12. S. Baglioni, F. Cianetti, L. Landi, Influence of the addendum modification on spur gear efficiency. Mech. Mach. Theory 49, 216–233 (2012)

    Article  Google Scholar 

  13. Yu. Wennian, Chris K. Mechefske, Markus Timusk, Influence of the addendum modification on spur gear back-side mesh stiffness and dynamics. J. Sound Vib. 389, 183–201 (2017)

    Article  Google Scholar 

  14. Backlash (due to operating center modifications). Retrieved from https://www.fxsolver.com/browse/?like=2323

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Correspondence to Jay Govind Verma .

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Verma, J.G., Patel, S., Kankar, P.K. (2020). Mesh Stiffness Variation Due to the Effect of Back-Side Contact of Gears. In: Varde, P., Prakash, R., Vinod, G. (eds) Reliability, Safety and Hazard Assessment for Risk-Based Technologies. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-9008-1_31

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  • DOI: https://doi.org/10.1007/978-981-13-9008-1_31

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-9007-4

  • Online ISBN: 978-981-13-9008-1

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