Stresses in spur gear teeth can be calculated by the complex potentials method, using a generalization of Hirano’s conformal mapping. Mathematical programming is used to fit the transformation to a given profile as closely as desired. Complete formulas for stresses and displacements are given in terms of the transformation parameters. Results are compared with other published values.

Issue Section:
Power Transmission and Gearing
Topics:
Computer programming, Gear teeth, Spur gears, Stress, Stress analysis (Engineering)
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Copyright © 1981
 by ASME
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