The complex potentials method of plane elasticity theory is applied to spur gear stress analysis. The concept is that the stress field in a gear tooth loaded by a point force can be obtained using the Boussinesq solution and a transformation function mapping a bell-shaped curve approximating the real tooth shape in the z-plane into the semi-infinite ζ-plane. The main features of an original computer code implementing this formulation are presented along with applications.
Gear tooth stress analysis by the complex potentials method / G. Nicoletto. - In: MECCANICA. - ISSN 0025-6455. - 27(1992), pp. 105-110.
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