Computer-Aided Numerical Determination of Hofer, Lewis, Niemann and Colbourne Points


In rating the bending strength of gear teeth, the critical point located where the fracture occurs must be determined. Hofer, Lewis, Niemann and Colbourne use methods to find the point approximately, in which numerical iteration is needed to solve nonlinear one-variable equations to find their critical points. This paper presents equations expressed easily and in a similar way for finding the critical point as well as the general gear tooth profile equations derived by a vector analysis method. Position comparison of points was achieved with computer-aided graphical and numerical output.
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