
In the above process, only 8 × 8 = 64 points are measured and the shape of the flank between the measured points is not known. A more refined approach is to not only transfer individual points of information from the measurement but whole traces in lead and profile directions (which is just a much higher number of points). Traces are measured and displayed in Gleason GAMA software, see the yellow lines on the left side of Figure 8. These traces show a waviness; they may also be visible in printouts, as shown in the top right of Figure 8. These traces are now to be represented in the gear design software so that the gear model there also includes the waviness as it is present in the manufactured gear. At the time of writing this paper, this was not yet automatically possible but required a manual approximation of the shape of the trace in the gear design software, using functions to approximate it there. Note the comment in the section on “Future Work” where this point is addressed as a subject for improvement of the software interface. With this approach, the digital twin contains far more information on the manufactured gear since a much higher number of data points is considered. At the time of writing this paper, however, it is only possible to import one trace in lead and one trace in profile direction (or one trace with an inclination as explained in the following section). This is again a shortcoming of the current software version to be addressed in the future. The underlying assumption is that waviness is a systematic result of the manufacturing process, manufacturing machine and tool properties. Hence, it is reasonable to assume, in a first approximation, that the waviness in profile direction is constant along the face width or the waviness in lead direction is constant in profile direction. In the next section, definitions and descriptions of how the waviness is defined in the gear design software are given.
BRIEF INTRODUCTION
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