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Boundary Integral Equation Approach to the Classical Theory of Elasticity

Application of Semi-direct Method to Gear Strength Rating

  • Conference paper
Computational Mechanics ’95

Abstract

In this paper, a boundary element approach is employed for the boundary integral equation method formulated in terms of such unknown variables as potential flow functions and stress functions. Then, this semi-direct approach is successfully applied to the strength design analysis of spur gears. Although the popular finite element and the boundary element methods have been frequently used for the calculation of stresses in gears, the traditional method using the two dimensional theory of elasticity has been also used for the gear strength analyses by many researchers.

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Refferences

  1. Muskhelishvili, N.I, Some Basic Problems of the Mathematical Theory of Elasticity, (1963), pp.259–305, P.Noordhoff Ltd.

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  2. Aida, T. and Terauchi, Y., On the Bending Stress of a Spur Gear (1st Report), Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.5, No.17, (1962), pp.161.

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  3. Rubenchik, V. Ya., Trans. ASME, J. Mech. Transm. Autom. Des., 105, (1983), pp.129.

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© 1995 Springer-Verlag Berlin Heidelberg

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Tanaka, M., Fujii, K. (1995). Boundary Integral Equation Approach to the Classical Theory of Elasticity. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_452

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_452

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

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