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Conference Papers Year : 2023

Contact simulation of tooth flanks using Isogeometric Analysis


The Finite Element (FE) modelling of a tooth flank affects both the accuracy of the results as well as the computational time and resources required. In FE Analysis (FEA), the involute curve is modelled by linear segments, thus deviations from its actual geometry are introduced. In order to achieve accurate results, the mesh must be generated as dense as possible. This increases the number of degrees of freedom and the computational cost along with it. This inherent drawback of FEA unfavourably affects the calculation of the pressure distribution of the mating tooth flanks. Isogeometric Analysis (IGA) is a recent alternative to the FEA. It uses B-Splines, a technology used by Computer Aided Design (CAD) systems, to model the geometry as well as the solution field. Thus, no geometric error is introduced in the transition from CAD to analysis. An inherent characteristic of B-Splines is the continuity between adjacent elements. Furthermore, the smooth normal vector field of the surface is known at every point in the interior of elements. This is particularly advantageous for contact algorithms because this alleviates the need for special smoothing techniques such as those often used in FEA. In the present study, a spur gear pair is simulated and the pressure at the contact area is calculated. The results are compared to those obtained by FEA in terms of both accuracy and computational cost.
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Dates and versions

hal-04313604 , version 1 (29-11-2023)





Christos Karampatzakis, Athanasios Mihailidis, Angelos Mantzaflaris, Christopher Provatidis. Contact simulation of tooth flanks using Isogeometric Analysis: Leveraging the power of high order, increased smoothness and curved geometries. International Conference on Gears 2023, Sep 2023, Munich, Germany. pp.413-428, ⟨10.51202/9783181024225-413⟩. ⟨hal-04313604⟩
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