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Calculation methodology for determining load-dependent transmission error taking into account material anisotropy in gears produced by forming methods

: Bräunig, Jan; Burkhardt, Martin; Hensel, Eric; Zumach, Sebastian; Drossel, Welf-Guntram; Hieckmann, Ellen

VDI-Wissensforum GmbH; VDI-Gesellschaft Produkt- und Prozessgestaltung -GPP-:
6th International Conference on Gears 2015. Vol.2 : International Conference on High Performance Plastic Gears 2015, International Conference on Gear Production 2015; Europe invites the world; time and venue; October 5th to 7th, 2015, Technische Universität München (TUM), Garching (near Munich), Germany
Düsseldorf: VDI-Verlag, 2015 (VDI-Berichte 2255)
ISBN: 978-3-18-092255-3
International Conference on Gears <6, 2015, Garching>
International Conference on High Performance Plastic Gears <2015, Garching>
International Conference on Gear Production <2015, Garching>
Fraunhofer IWU ()
anisotropic material; gear forming; load dependent transmission error

The content of the paper addresses the creation and validation of an FE based excitation study of gears with regard to the crystallographic orientation of grains and the thereby dedicated distribution of the anisotropic mechanical material properties in gears produced by forming methods. The modelling approach developed for this determines the transmission error of the meshing gears, from which the tooth stiffness can be derived. This paper describes the determination of local direction-dependent material parameters from material analyses of gears produced by rolling processes for the fundamental analysis of the relationship between the anisotropic and textured crystallite microstructure in the gear and ist excitation behaviour. It also includes a comparison with conventionally manufactured gears that have isotropic material properties on the macroscopic scale.
Electron backscatter diffraction (EBSD) performed by a scanning electron microscope is used to determine the crystallographic orientation of the crystallite microstructure. Mappings of crystal orientation were produced for various sub-areas of the gear tooth. The orientation data obtained were further transformed into local FE coordinate systems and the resulting averaged and direction-dependent material properties determined for areas of similar texturing. The resultant elasticity matrix was calculated for each area as a possible input value for a FE model.