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On the Determination of the Meshing Stiffness and the Load Sharing of Spur Gears

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New Trends in Mechanism and Machine Science

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 43))

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Abstract

Several models for the study of the meshing stiffness of spur gears have been recently developed, which have been applied to the determination of the load sharing among teeth, the dynamic behaviour, etc. Different geometries have been considered for different objectives: form the theoretical conjugate contact to consider tooth deflections, asymmetric profiles, tip relieves or frictional effects. The Minimum Elastic Potential Energy (MEPE) model was obtained from the simple involute geometry and theoretical conjugate contact, but provides results for the load sharing ratio accurate enough for strength calculations. In addition, a very simple, approximate, analytical equation for the meshing stiffness was obtained allowing calculations of the stresses or the efficiency by means of simple numerical methods. In this paper, the MEPE model is compared with other stiffness models to discuss its suitability of load sharing predictions, including its application to modified geometries.

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Acknowledgments

Thanks are expressed to the Spanish Council for Scientific and Technological Research for the support of the projects DPI2011–27661, “Advanced Models for Strength Calculation and Dynamic Analysis of Non-Conventional Cylindrical Gears”, and DPI2015–69201–C2–1–R, “Load Distribution and Strength Calculation of Gears with Modified Geometry”.

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Correspondence to José I. Pedrero .

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Pedrero, J.I., Pleguezuelos, M., Sánchez, M.B. (2017). On the Determination of the Meshing Stiffness and the Load Sharing of Spur Gears. In: Wenger, P., Flores, P. (eds) New Trends in Mechanism and Machine Science. Mechanisms and Machine Science, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-319-44156-6_23

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  • DOI: https://doi.org/10.1007/978-3-319-44156-6_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44155-9

  • Online ISBN: 978-3-319-44156-6

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