Abstract: 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 ...

Abstract: Bending stresses in spur gears have been obtained analytically using the Complex Potential Method of the two-dimensional theory of elasticity and conformal mapping of the tooth profile. Effects ...

Abstract: In a two-stage gear train, the two meshing stiffnesses acting on the intermediate shaft produce parametric vibrations. Equations to find the principal and secondary regions of instability are ...

Abstract: Complex potentials have already been used to calculate analytically spur gear stresses. However, their application to the calculation of tooth flexibility is not so straightforward since displacements ...

Abstract: Using the two-dimensional theory of elasticity and an appropriate transform function, the stress distribution in a gear tooth acted on by a concentrated load has been obtained. Computations were ...

Abstract: The indentation of hard steel spheres into the plane surface of quasi elastic-perfectly-plastic metallic materials has been investigated experimentally. It is shown in the present note that uniform ...

Abstract: The elastic compliance of a spur gear tooth acted on by a concentrated load is determined through the use of appropriate stress functions resulting from the complex transformation of the tooth ...