Mathematical Modelling of Involute Spur Gears Manufactured by Rack Cutter

Tufan Gürkan YILMAZ, Emin GÜLLÜ
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In this study, mathematical modelling of asymmetric involute spur gears was situated in by Litvin approach. In this context, firstly, mathematical expressions of rack cutter which manufacture asymmetric involute spur gear, then mathematical expression of asymmetric involute spur gear were obtained by using differential geometry, coordinate transformation and gear theory. Mathematical expressions were modelled in MATLAB and output files including points of involute spur gear’s teeth were designed automatically thanks to macros.


Involute Spur Gears; Mathematical Modelling; MATLAB; CATIA

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