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Optimization of straight-sided spline design

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Abstract

Spline connection of shaft and hub is commonly applied when large torque capacity is needed together with the possibility of disassembly. The designs of these splines are generally controlled by different standards. In view of the common use of splines, it seems that few papers deal with splines and the subject of improving the design. The present paper concentrates on the optimization of splines and the predictions of stress concentrations, which are determined by finite element analysis (FEA). Using different design modifications, that do not change the spline load carrying capacity, it is shown that large reductions in the maximum stress are possible. Fatigue life of a spline can be greatly improved with up to a 25% reduction in the maximum stress level. Design modifications are given as simple analytical functions (modified super elliptical shape) with only two active design parameters and the designs are practical realizable. Some generality is found in the design parameters.

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References

  1. Bazant E.: Rechnerische ermittlung der spannungskonzentration in keilwellen bei torsion. Mashinenbautechnik 40(6), 272–275 (1991)

    Google Scholar 

  2. COMSOL  AB.: Stockholm. www.comsol.se (1998–2009)

  3. DIN 5461.: Keilwellen- verbindungen mit geraden flanken; übersicht (German standard) outdated (1965)

  4. DIN 5462.: Keilwellen-verbindungen mit geraden flanken; leichte reihe (German standard) outdated (1955)

  5. DIN 5463.: Keilwellen-verbindungen mit geraden flanken; mittlere reihe (German standard) outdated (1955)

  6. DIN 5464.: Keilwellen-verbindungen mit geraden flanken; schwere reihe (German standard) (1965)

  7. DIN 5471.: Werkzeugmashinen, keilwellen- und keilnaben-profile mit 4 keilen, innenzentrierung, maß  (German standard) (1974)

  8. DIN 5472.: Werkzeugmashinen, keilwellen- und keilnaben-profile mit 6 keilen, innenzentrierung, maß  (German standard) (1980)

  9. DIN ISO 14.: Keilwellen-verbindungen mit geraden flanken und innenzentrierung (1986)

  10. Kollmann F.G.: Welle-Nabe-Verbindungen: Gestaltung, Auslegung, Auswahl. Springer, Berlin, Heidelberg, New York (1984)

    Google Scholar 

  11. Okubo H.: The torsion of a shaft with keyways. Q. J. Mech. Appl. Math. 3(2), 162–172 (1950)

    Article  MathSciNet  MATH  Google Scholar 

  12. Pedersen N.L.: Reducing bending stress in external spur gears by redesign of the standard cutting tool. Struct. Multidiscip. Optim. 38(3), 215–227 (2009)

    Article  Google Scholar 

  13. Pedersen N.L.: Stress concentrations in keyways and optimization of keyway design. J. Strain Anal. Eng. Des. 45(8), 593–604 (2010)

    Google Scholar 

  14. Pedersen N.L.: Improving bending stress in spur gears using asymmetric gears and shape optimization. Mech. Mach. Theory 45(11), 1707–1720 (2010)

    Article  MATH  Google Scholar 

  15. Pedersen N.L., Pedersen P.: Design of notches and grooves by means of elliptical shapes. J. Strain Anal. Eng. Des. 43(1), 1–14 (2008)

    Article  Google Scholar 

  16. Pilkey, W.D.: Peterson’s Stress Concentration Factors, 508 pp. Wiley, New York (1997)

    Book  Google Scholar 

  17. Yoshitake H.: Photoelastic stress analysis of the spline shaft. Jpn. Soc. Mech. Eng. Bull. 5(17), 195–201 (1962). doi:10.1243/03093247JSA632

    Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Nils Koppels Allé, Building 404, 2800, Kgs. Lyngby, Denmark

    Niels Leergaard Pedersen

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  1. Niels Leergaard Pedersen
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Correspondence to Niels Leergaard Pedersen.

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Pedersen, N.L. Optimization of straight-sided spline design. Arch Appl Mech 81, 1393–1407 (2011). https://doi.org/10.1007/s00419-010-0493-9

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  • DOI: https://doi.org/10.1007/s00419-010-0493-9

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