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Communication Dans Un Congrès Année : 2021

Tooth contact analysis of plastic cylindrical gear

Charly Lagresle
  • Fonction : Auteur
François Besson

Résumé

The LaMCoS Laboratory has developed original models to simulate the quasi-static loaded behavior of several types of gears (cylindrical, spiral, worm gear, face gear, pinion rack) for decades [1] [2] [3]. The material can be metallic or plastic. In case of polyamide gears, the considered contact can be plastic-metal (worm gear) or plastic-plastic (cylindrical gear). For these gears, the case of polyamide with glass fibers has been studied [4]. The proposed paper will describe the polyamide cylindrical gear model developed by the LaMCoS Laboratory and its improvements achieved by Mecalam. Mecalam is a young company created in June 2015. It is positioned at the interface between research and industry in the field of power transmissions by meshing systems. With the help of mechanical characterization, a linear rheological generalized Kelvin-Voigt model was developed to simulate the viscoelastic behavior of the material. This model considers temperature, humidity, and rotation speed. It has been integrated in the quasi-static load sharing computation developed by the LaMCoS laboratory. In the calculus, the displacements are obtained on a large meshing covering the entire surface of the tooth. The viscoelastic displacement and the geometrical influence coefficients are considered in the model. These influence coefficients are obtained with a unique FEM computation and the use of a special set of functions. With this process, the model takes into account the environment of the meshing such as axis misalignment, bearing stiffness... The method provides results such as the loaded transmission error, the instantaneous meshing stiffness within a reasonable computation time. The model can detect abnormal contacts that are not located in the meshing plane and it has been validated with measurements, carried out on an original test bench. In this context, the initial software has been entirely rewritten by Mecalam. A Python-based demonstrator computing the quasi-static load-sharing has been created. New functionalities have been added. For example, to construct the Kelvin-Voigt model, multiple DMA test processes are used to obtain the viscoelastic mechanical properties of the polymer for a short range of frequencies and for given temperatures. The experimental data are now automatically sorted and cleaned by a k-means sorting algorithm and extrapolated above the experimental frequencies range according to the time-temperature superposition principle. Fitted models characterizing the storage modulus and the loss modulus are fitted to the experimental data with methods using the combinations of polynomial, gaussian and step models.
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Dates et versions

hal-03298560 , version 1 (27-07-2021)

Identifiants

  • HAL Id : hal-03298560 , version 1

Citer

Jean-Pierre de Vaujany, Charly Lagresle, Michele Guingand, François Besson. Tooth contact analysis of plastic cylindrical gear. FTPO Conference 2021: Polymer gears, Jun 2021, Slovenj Gradec, Slovenia. ⟨hal-03298560⟩
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