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Numerical Implementation of Complex Potentials for Gear Tooth Stress Analysis
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
A Study of Spur Gear Geometry Factor Through Complex Potential Analysis
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
Dynamic Stability of a Two-Stage Gear Train Under the Influence of Variable Meshing Stiffnesses
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
Calculation of Spur Gear Tooth Flexibility by the Complex Potential Method
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
Exact Stress Distribution in Standard Gear Teeth and Geometry Factors
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
The Indentation of an Elastic-Perfectly-Plastic Half-Space by a Hard Sphere
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
An Improved Determination of the Elastic Compliance of a Spur Gear Tooth Acted on by a Concentrated Load
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...