Meccanica

, Volume 40, Issue 3, pp 291–323 | Cite as

Computerized Developments in Design, Generation, Simulation of Meshing, and Stress Analysis of Gear Drives

  • Faydor L. Litvin
  • Daniele Vecchiato
  • Eugene Gurovich
  • Alfonso Fuentes
  • Ignacio Gonzalez-Perez
  • Kenichi Hayasaka
  • Kenji Yukishima
Overviews and Tutorials
Received:
Accepted:

Abstract

The paper represents new computerized developments in design, generation, simulation of meshing, and stress analysis of gear drives. The main contents of the paper are: (i) application of a predesigned parabolic function of transmission errors for reduction of noise, (ii) computerized simulation of noise caused by transmission errors, (iii) modification of the basic algorithm of tooth contact analysis, and (iv) application of approaches developed for enhanced design and simulation of meshing of the following gear drives: (a) spiral bevel gear drives, (b) face-gear drives (including an approach for grinding), and (c) modified helical gear drives. The developed theory is illustrated with numerical examples.

Keywords

Transmission errors Local synthesis Bearing contact Tooth contact analysis Stress analysis 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Argyris, J., Fuentes, A., Litvin, F.L. 2002‘Computerized integrated approach for design and stress analysis of spiral bevel gears’Comput. Methods Appl. Mech. Eng.19110571095CrossRefGoogle Scholar
  2. Favard, J. 1957Course of Local Differential GeometryGauthier-VillarsParis(in French, translated into Russian)Google Scholar
  3. Fuentes, A., Litvin, F.L., Mullins, B.R., Woods, R., Handschuh, R.F. 2002‘Design and stress analysis of low-noise adjusted bearing contact spiral bevel gears’ASME J. Mech. Design.124524532CrossRefGoogle Scholar
  4. Fuentes A., Litvin F.L., Mullins B.R., Woods R., Handschuh, R.F., Lewicki D.G., ‘Design, stress analysis and experimental tests of low-noise adjusted bearing contact spiral bevel gears’. in: Proceedings International Conference on Gears , VDI-Beritchte, Vol. 1 , No. 1665, (2002) 327–340Google Scholar
  5. Gleason, W. 1970Understanding Tooth Contact AnalysisNew YorkRochesterGoogle Scholar
  6. Hibbit Karlsson. (1998). Sirensen, Inc., ABAQUS/Standard User’s Manual , 1800 Main Street, Pawtucket , RI 20860–4847Google Scholar
  7. Klingelnberg und Söhne, Ettlingen, Kimos: Zahnkontakt-Analyse für Kegelräder, 1996Google Scholar
  8. Korn, G.A., Korn, T.M. 1968Mathematics Handbook for Scientists and EngineersMcGraw-HillNew YorkGoogle Scholar
  9. Lewicki, D.G., Handschuh, R.F., Henry, Z.S., Litvin, F.L. 1994‘Low-noise, high strength spiral bevel gears for helicopter transmission’J. Propul. Power.10356361Google Scholar
  10. Litvin, F.L. 1968Theory of Gearing2NuakaMoscow(in Russian)Google Scholar
  11. Litvin, F.L. 1969‘Die beziehungen zwischen den krümmungen der zahnoberflächen be räumlichen versahnungen (Relation between curvatures of tooth surfaces in spatial gearing)’Zeitschrift fur Angewandte Mathematik und Mechanik.49685690(in German)Google Scholar
  12. Litvin F.L. (1989). Theory of Gearing , NASA RP-1212 (AVSCOM 88-C-C035), Washington, D.C.Google Scholar
  13. Litvin, F.L., Hsiao, C.-L. 1993‘Computerized simulation of meshing and bearing contact of enveloping gear tooth surfaces’Comput. Methods Appl. Mech. Eng.102337366CrossRefGoogle Scholar
  14. Litvin F.L. (1998). Development of Gear Technology and Theory of Gearing, NASA Reference Publication 1406, ARL-TR-1500Google Scholar
  15. Litvin, F.L., Chen, N.X., Lu, J., Handschuh, R.F. 1995‘Computerized design and generation of low-noise helical gears with modified surface topology’ASME J. Mech. Design.117254261Google Scholar
  16. Litvin, F.L., Wang, A.G., Handschuh, R.F. 1998‘Computerized generation and simulation of meshing and contact of spiral bevel gears with improved geometry’Comput. Methods Appl. Mech. Eng.1583564CrossRefMathSciNetGoogle Scholar
  17. Litvin F.L., Chen Y.-J., Heath G.F., Sheth V.J., Chen N. (2000). ‘Apparatus and method for precision grinding face gears’. USA Patent 6,146,253Google Scholar
  18. Litvin, F.L., Fuentes, A., Demenego, A., Vecchiato, D., Fan, Q. 2001‘New developments in the design and generation of gear drives’Mechanical Engineering Science, Part C. Proceedings of the Institution of Mechanical Engineers.215747758Google Scholar
  19. Litvin F.L. et al. (2001). ‘Helical and spur gear drive with double crowned pinion tooth surfaces and conjucated gear tooth surfaces’. USA Patent 6,205,879Google Scholar
  20. Litvin, F.L., Fuentes, A., Fan, Q., Handschuh, R.F. 2002‘Computerized design, simulation of meshing and contact, and stress analysis of face-milled formate generated spiral bevel gears’Mech. Machine Theo.37441459CrossRefGoogle Scholar
  21. Litvin, F.L., Fuentes, A., Zanzi, C., Pontiggia, M. 2002‘Design, generation, and stress analysis of two versions of geometry of face-gear drives’Mech. Mach. Theo.3711791211CrossRefGoogle Scholar
  22. Litvin, F.L., Fuentes, A., Zanzi, C., Pontiggia, M., Handschuh, R.F. 2002‘Face gear drive with spur involute pinion: geometry, generation by a worm, stress analysis’Comput. Methods Appl. Mech. Eng.19127852813CrossRefGoogle Scholar
  23. Litvin, F.L., Fuentes, A., Gonzalez-Perez, I., Carnevali, L., Sep, T.M. 2002‘New version of Novikov-Wildhaber helical gears: Computerized design, simulation of meshing and stress analysis’Comput. Methods Appl. Mech. Eng.19157075740CrossRefGoogle Scholar
  24. Litvin, F.L., Fuentes, A., Gonzalez-Perez, I., Carnevali, L., Kawasaki, K., Handschuh, R.F. 2003‘Modified involute helical gears: computerized design, simulation of meshing, and stress analysis’Comput. Methods Appl. Mech. Eng.19236193655CrossRefGoogle Scholar
  25. Litvin, F.L., Fuentes, A. 2004Gear Geometry and Applied Theory2Cambridge University PressNew YorkGoogle Scholar
  26. Litvin F.L., Sheveleva G.I, Vecchiato D., Gonzalez-PerezI., Fuentes A. (2004). ‘Modified approach for tooth contact analysis of gear drives and automatic determination of guess values’. Comput. Methods Appl. Mech. Eng., accepted for publicationGoogle Scholar
  27. Medvedev, V.I., Sheveleva, G.I. 1996‘Synthesis of bevel gearings on the basis of the theory of quasilinear contact’J. Mach., Manufacture and Reliability.21824Google Scholar
  28. Miller E.W. (1942). ‘Hob for generation of crown gears’. USA Patent 2,304,588Google Scholar
  29. Morse, P.M. 1948Vibration and SoundMcGraw-HillNew YorkGoogle Scholar
  30. Nutbourne A.W., Martine R.R. (1988). Differential Geometry Applied to Curve and Surface Design, Vol. 1. Ellis Horwood Limited, Chichester, West Sussex, UKGoogle Scholar
  31. Sheveleva, G.I., Volkov, A.E. 2001‘Computer analysis of conical and hypoid gear drive operation’J. Mach. Manufacture Reliability.58288Google Scholar
  32. Smith, J.D. 1983Gears and Their VibrationMarcel DekkerNew YorkGoogle Scholar
  33. Stadtfeld H.J. (1983). Formgenaue Kegelradtriebsätze durch Oerlikon CDS-3D , Oerlikon Bührle AG, Zürich, FirmenschriftGoogle Scholar
  34. Stadtfeld, H.J. 1993Handbook of Bevel and Hypoid Gears: Calculation, Manufacturing, and OptimizationRochester Institute of TechnologyRochesterGoogle Scholar
  35. Stadtfeld, H.J. 1995Gleason Bevel Gear Technology – Manufacturing, Inspection and OptimizationCollected PublicationsThe Gleason WorksGoogle Scholar
  36. Townsend, D.P. 1991Dudley’s Gear Handbook2McGraw-HillNew YorkGoogle Scholar
  37. Vogel, O., Griewank, A., Bär, G. 2002‘Direct Gear Tooth Contact Analysis for Hypoid Bevel Gears’Comput. Methods Appl. Mech. Eng.19139653982CrossRefGoogle Scholar
  38. Zalgaller, V.A. 1975Theory of EnvelopesPublishing House NuakaMoscow(in Russian)Google Scholar
  39. Zalgaller, V.A., Litvin, F.L., ‘Sufficient condition of existence of envelope to contact lines and edge of regression on the surface of the envelope to the parametric family of surfaces represented in parametric form’. in: Proceedings of Universities: Mathematics 178 (3) (1977) 20–23 (in Russian)Google Scholar
  40. Zhang, Y., Litvin, F.L., Handschuh, R.F. 1995‘Computerized design of low-noise face-milled spiral bevel gears’Mech. Mach. Theo.3011711178CrossRefGoogle Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • Faydor L. Litvin
    • 1
  • Daniele Vecchiato
    • 1
  • Eugene Gurovich
    • 1
  • Alfonso Fuentes
    • 2
  • Ignacio Gonzalez-Perez
    • 1
  • Kenichi Hayasaka
    • 3
  • Kenji Yukishima
    • 3
  1. 1.Department of Mechanical and Industrial Engineering, Gear Research CenterUniversity of Illinois at ChicagoChicagoUSA
  2. 2.Department of Mechanical Engineering, Polytechnic University of CartagenaCampus Universitario Muralla del MarCartagenaSpain
  3. 3.Gear R&D Group, Research Development CenterYamaha Motor Co., LTD.IwataJapan

Personalised recommendations