Skip to main content
Log in

Dynamic State or Whole Field Analysis of Helical Gear

  • Original Contribution
  • Published:
Journal of The Institution of Engineers (India): Series C Aims and scope Submit manuscript

Abstract

To determine the true bending stresses at the root of the tooth is an important and crucial step in accurate design of the gears. The present work has been intended for bending stress analysis at critical section of helical gear tooth under dynamic state by different methods. The photo stress coating method along with reflection polariscope was used as experimental method. Velocity factor method and Spott’s equation method have been used to estimate dynamic load and bending stress at critical section of tooth. LS DYNA software has been used for finite element analysis under dynamic state. The results show that the experiment photo stress method gives bending stress closer to the true value in dynamic conditions amongst all method under consideration. Finally, the study proposes the correction factor for velocity factor method and Spott’s equation method to estimate true bending stress at tooth root with respect to experimental method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. J.I. Pedrero, A. Rueda, A. Fuentes, Determination of ISO tooth form factor for involute spur and helical gears. Mech. Mach. Theory 34(1), 89–103 (1999)

    Article  MATH  Google Scholar 

  2. E. Conrado, P. Davoli, The true bending stress in spur gears. J. Mech. Des. ASME 134(1), 1–13 (2007)

    Google Scholar 

  3. G.C. Luh, R.M. Hwang, Measuring non-uniform residual stress in thin plates by a proposed hole-drilling strain gauge method. Int. J. Adv. Manuf. Technol. 15(2), 103–113 (1999)

    Article  Google Scholar 

  4. A. Kawalec, J. Wiktor, D. Ceglarek, Comparitive analysis of tooth-root strength using ISO and AGMA standards in spur and helical gears with FEM-based verification. J. Mech. Des. ASME 128, 1141–1158 (2006)

    Article  Google Scholar 

  5. J. Tombasco, Photoelastic dynamic structural analysis using synchronized strobe technique. Department of Aerospace Engineering, Pennsylvania State University Park, PA-10802 (2004)

  6. P. Wayluda, D. Wolf, Examination of finite element analysis and experimental results of quasi-statically loaded acetal copolymer gears. Trans. ASME 34, 1159–1163 (1973)

    Google Scholar 

  7. H.P. Rossamanith, A. Shukla, Dynamic photoelastic investigation of interaction of stress waves running cracks. Exp. Mech. 275, 209–228 (1981)

    Google Scholar 

  8. J.R. Lesniak, M.J. Zickle, C.S. Welch, D.F. Johnson, An Innovative Polariscope for Photoelastic Stress Analysis (Stress Photonics Inc., Madison, 1987)

    Google Scholar 

  9. T.W. Carby, W.E. Nickola, Residual strain using photoelastic coating. Opt. Lasers Eng. 27(1), 113–123 (1997)

    Google Scholar 

  10. G. Calvert, J. Lesniak, M. Honlet, Applications of modern automated photoelasticity to industrial problems. Real Time Stress Monit. 44(4), 224–227 (2002)

    Google Scholar 

  11. I. Atanskovoska, M.V. Popovic, Z. Starcevic, The dynamic behaviour of gears with high transmission ratio. Int. J. Traffic Transp. Eng. 2(2), 153–160 (2012)

    Google Scholar 

  12. B. Kozlowska, Two-dimensional experimental elastic-plastic strain and stress analysis. J. Theor. Appl. Mech. 52, 419–430 (2013)

    Google Scholar 

  13. A. Ajovalasit, S. Barone, G. Petricchi, Towards RGB photoelasticity: full field automated photoelasticity in white light. Exp. Mech. 35(3), 193–200 (1995)

    Article  Google Scholar 

  14. D.G. Berghaus, Combining photoelasticity and finite-element methods for stress analysis using least squares. Exp. Mech. 31(1), 36–41 (1991)

    Article  Google Scholar 

  15. R.J. Sanford, L.A. Beaubien, Stress analysis of a complex part: photoelasticity vs. finite elements. Exp. Mech. 17(12), 441–448 (1977)

    Article  Google Scholar 

  16. R. Sharma, V.K. Jadon, B. Singh, A review on finite element methods for heat conduction in functionally graded materials. J. Inst. Eng. (India) Ser. C 96(1), 73–81 (2015)

    Article  Google Scholar 

  17. C. Taudou, K. Ravi-Chandar, Experimental determination of the dynamic stress-intensity factor using caustics and photoelasticity. Exp. Mech. 32(3), 303–310 (1992)

    Article  Google Scholar 

  18. Micromeasurements, Technical note TN-702-1

  19. M.R. Kang, A. Kahraman, An experimental and theoretical study of the dynamic behavior of double- helical gear. J. Sound Vib. 350, 11–20 (2015)

    Article  Google Scholar 

  20. Micromeasurements, Technical note TN-702-2

  21. K.G. Raptis, T.N. Costopoulos, G.A. Papadopoulos, A.D. Tsolakis, Rating of spur using photoelasticity and the finite element method. Am. J. Eng. Appl. Sci. 3, 222–231 (2010)

    Article  Google Scholar 

  22. M. Madavi, R. Venkat, Predicting structural behavior of filament wound composite pressure vessel using 3D shell analysis. J. Inst. Eng. (India) Ser. C 95(1), 41–50 (2014)

    Article  Google Scholar 

  23. Y.-J. Wu, J.-J. Wang, Q.-K. Han, Static/dynamic contact FEA and experimental study for tooth profile modification of helical gears. J. Mech. Sci. Technol. 26(5), 1409–1417 (2012)

    Article  Google Scholar 

  24. V. Spitas, G.A. Papadopoulos, C. Spitas, T. Costopoulos, Experimental investigation of load sharing in multiple gear tooth contact using the stress-optical method of caustics (Blackwell, Hoboken, 2009)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Prashant Jaysing Patil.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Patil, P.J., Patil, M.S. & Joshi, K.D. Dynamic State or Whole Field Analysis of Helical Gear. J. Inst. Eng. India Ser. C 100, 37–42 (2019). https://doi.org/10.1007/s40032-017-0389-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40032-017-0389-3

Keywords

Navigation