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Load sharing and stress analysis of single enveloping worm gearing considering transmission errors

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Abstract

A procedure, known as the slicing method, which has been developed earlier by the authors to estimate the load share of single enveloping (cylindrical) worm gear drives and to calculate the instantaneous tooth meshing stiffness and stresses, is extended in this study to investigate the effect of transmission error on loading and stresses. Tooth composite deflection caused by bending, shearing, contact deformation and initial separation due to profile mismatch are determined in the analysis as well as tooth stiffness variation during the course of contact of both the worm and the wheel. The elasticity theory was used to calculate fillet stresses and deformation of both the worm and wheel. Numerical examples are presented to illustrate the response of worm gear set in the presence of transmission error and under given loading conditions. The procedure was proven to be safe and reliable in rating the load capacity and useful in the design of worm gear drives with compact size and high power transmission.

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References

  1. Seol IH, Litvin FL (1996) Computerized design, generation and simulation of meshing and contact of modified involute, Klingelnberg and Flender type worm-gear drives. ASME J Mech Des 118:551–555

    Article  Google Scholar 

  2. Vintila H, Miloiu G, Visa F, Tiscann C (1995) Numerical research regarding contact localisation at cylindrical worm gears, Proceedings, 9th World Congress on the Theory of Machine and Mechanisms, Milan, pp 442–446

  3. Yoshino H, Muta Y (1997) Tooth surface modification method applicable to various types of worm gears, proceedings, International Conference on Mechanical Transmissions and Mechanisms. July 1st–4th, Tianjin, China. pp. 598–602

  4. Qin D, Kato M (1995) The Hourglass worm gearing with local conjugate contact, Proceedings, International Congress-Gear Transmissions 26th–28th Sept., Sofia, Bulgaria. pp. 99–103

  5. Pedrero JI, Artés M et al (1996) Determination of addendum modification factors for gears with pre-established contact ratio. Mech Mach Theory 31(7):937–945

    Article  Google Scholar 

  6. Falah AH, Elkholy AH (2006) Load and stress analysis of cylindrical worm gearing using tooth slicing method. Trans Can Soc Mech Eng 30(1):97–111

    Google Scholar 

  7. Gosselin C, Cloutier L, Nguyen QD (1995) A general formulation for the calculation of the load sharing and transmission error under load of spiral bevel and hypoid gears. Mech Mach Theory 30(3):433–450

    Article  Google Scholar 

  8. Elkholy AH (1985) Tooth load sharing in high-contact ratio spur gears. ASME J Mech Transmissions Autom Des 107:11–16

    Google Scholar 

  9. Yang F, Su D, Gentle CR (2001) Finite element modelling and load share analysis for involute worm gears with localized tooth contact. Proc Instn Mech Engrs 215 part C:805–816

    Google Scholar 

  10. Shigley JE, Mischke CR, Budynas RG (2004) Mechanical engineering design, 7th edn. McGraw-Hill, New York, pp 161–166

  11. Simon V (1993) Stress analysis in double enveloping worm gears by finite element method. J Mech Des Trans ASME 115:179–185, March

    Article  Google Scholar 

  12. Sudoh K, Tanaka Y, Matsumoto S, Tozaki Y (1996) Load distribution analysis method for cylindrical worm gear teeth. JSME Int J Ser C 39(3):606–613

    Google Scholar 

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Correspondence to A. H. Falah.

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Falah, A.H., Elkholy, A.H. Load sharing and stress analysis of single enveloping worm gearing considering transmission errors. Int J Adv Manuf Technol 37, 211–220 (2008). https://doi.org/10.1007/s00170-007-0965-4

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  • DOI: https://doi.org/10.1007/s00170-007-0965-4

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