Direct analytical solution of a modified form of the meshing equations in two dimensions for non-conjugate gear contact |
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Authors: | C Spitas V Spitas |
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Institution: | 1. Technical University of Crete, Department of Production Engineering and Management, 58 Filolaou Str., GR-11633 Athens, Greece;2. Technical University of Crete, Laboratory of Applied Mechanics, Greece |
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Abstract: | The current technological state-of-the-art utilises modified gear profiles, which are in part non-conjugate and therefore cannot be analysed using standard conjugate contact theory. Existing non-conjugate mathematical models require the solution of a system of implicit equations, typically with significant computational effort and need for careful monitoring of solution stability, convergence and selection of initial values. This paper derives a modified form for the fundamental gear meshing equations, which are reduced analytically to a single scalar equation, resulting in improved solution speed and stability. The solution is verified in benchmark tests using real gear geometries. |
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Keywords: | Gear mesh analysis Non-conjugate contact Direct analytical solution |
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