194 F. Bruzzone and C. Rosso an FE model with a Semi-Analytical (SA) contact model have also been proposed [39] with great success. In [40], a combination of some of the presented approaches will be used to accurately estimate the STE and the contact conditions including the influence of the micro-geometrical modifications of the teeth flanks both along its height and along the face width. In addition, a technique for taking into account the flexibilities of other gearbox components was developed and is presented here. 24.2 Methodology The reader can find deeper details on the methodology used here for computing the tooth stiffness in [40]. For the sake of simplicity, the flow chart of the nonlinear and non-Hertzian procedure is reported here (Fig. 24.1) and briefly described. Once the gear parameters are set in terms of a number of teeth, module, angle of pressure and helix, profile shift and geometry of the generating rack, the procedure generates the flank geometry and applies to them all the possible micro modifications (an example is reported in Fig. 24.2a and b). In such a way, the teeth characteristics are defined, and the stiffnesses of the Fig. 24.1 Flowchart of the numerical procedure Fig. 24.2 Tooth profile modifications. (a ) Tip and root relief. (b) Crowning
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