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A. Günther, J. Peters, Gert Goch
3D-Surface-like Numerical Description, Alignment, and Evaluation of Involute Cylindrical Gears
The classical gear measurement mostly refers to standards which are based on the measuring paths of conventional mechanical gear measuring devices. The mechanical alignment by means of geometric elements and clamping devices is regarded as problematic. On the other hand the correct evaluation of measured flanks requires ideally mounted gears to exactly match the profile and helix (lead) lines. Both requirements can be fulfilled partially only by CMMs using numerical alignment or specialised gear measuring devices, thus errors inevitably occurring during the evaluation. Since involute cylindrical gears can be described both with and without corrections by self-contained mathematical functions it is possible to fit the measuring points according to the nominal surface using a numerical alignment algorithm. This precedure results in a coordinate transformation for the measured points which may origin from arbitrary tooth flanks in a varying point density and distribution. This contribution gives a survey about the theoretical approaches and someresults of simulations and evaluations based on simulated alignment errors. Especially conventional uncorrected evaluations are compared with numerically improved evaluations.
tm – Technisches Messen, Oldenbourg Wissenschaftsverlag
Print ISSN: 0171-8096
Volume: 68, 04/2001
Pages: 160