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Theoretical investigations of the load distribution of small sized crown gear sets different material pairings

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Abstract

An analytical approach for the calculation of the load distribution on the flank of crown gears, based on the theory according Placzek, is proposed. The teeth of the face gear and the pinion are divided into equidistant slices perpendicular to the normal plane, where the local forces, resulting from the acting torque, are calculated under consideration of the local deformation behavior of the gear system. By considering the geometrical conditions like radii of curvature, etc., the local Hertian stresses can be determined. Based on these considerations, the impact of the stiffness, the helix angle and the offset on the local force or load distribution is illustrated. Finally the lubricant film thickness is calculated by using the EHD-theory.

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References

  1. Bauhoffer, H (2013) Laufverhalten und Tragbild von Kronenrädern unter Montageabweichungen, Dissertation, TU München

  2. Hertz H (2009) Über die Berührung fester elastischer Körper. J Reine Angew Math 1882(92):156–171

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  5. Placzek, T (1988) Lastverteilung und Flankenkorrektur in gerad- und schrägverzahnten Stirnradstufen; Dissertation, TU München

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Authors and Affiliations

  1. Gear Research Centre (FZG), Munich, Germany

    Markus Baar, Peter Oster, Thomas Tobie & Karsten Stahl

Authors
  1. Markus Baar
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  2. Peter Oster
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  3. Thomas Tobie
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  4. Karsten Stahl
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Corresponding author

Correspondence to Markus Baar.

Additional information

The results shown in this paper are based on the research project “Tragfähigkeit Kronenradverzahnung” (AZ: 981-11) at the gear rechearch center (FZG) funded by the “Bayerische Forschungsstiftung” in collaboration with “ebm-Papst Zeitlauf antriebstechnik” (Lauf a. d. Pegnitz).

The content of this paper accords to extractions of the dissertation “Kennwerte zur Tragfähigkeit kleinmoduliger Kronenradverzahnungen unterschiedlicher Werkstoffpaarung” (TU München, Baar).

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Baar, M., Oster, P., Tobie, T. et al. Theoretical investigations of the load distribution of small sized crown gear sets different material pairings. Forsch Ingenieurwes 81, 337–347 (2017). https://doi.org/10.1007/s10010-017-0233-1

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  • DOI: https://doi.org/10.1007/s10010-017-0233-1

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