Stress Analysis Of Gear Research Articles

The mathematical model of Wildhaber-Novikov gears applicable to finite element stress analysis

The mathematical model and results of tooth contact analysis (TCA) of the Wildhaber-Novikov (W-N) gear are given in Ref. [1] [F.L. Livtin and C.-B. Tsay, Trans. ASME, J. mech. Trans. Auto. Des. 556-564 (December 1985)]. A finite element method (FEM), using the SAP IV package, is employed to the W-N gear stress analysis. An automatic nodal points and meshes generating (AMG) computer program has been developed. By utilizing the mathematical model of the W-N gear and the AMG computer program, nodal points and meshes for finite elements analysis can be obtained automatically. By applying the results of TCA, the location and direction of applied loading on gear teeth can be defined. Root bending stresses of pinion and gear with different loading positions have been analyzed. Effects on root stresses due to variations of fillet radius and normal pressure angle of pinion have also been investigated.

A Finite Element Stress Analysis of Spur Gears Including Fillet Radii and Rim Thickness Effects

Spur gear stress analysis results are presented for a variety of loading conditions, support conditions, fillet radii, and rim thickness. These results are obtained using the SAP IV finite-element code. The maximum stresses, occurring at the root surface, substantially increase with decreasing rim thickness for partially supported rims (that is, with loose-fitting hubs). For fully supported rims (that is, with tight-fitting hubs), the root surface stresses slightly decrease with decreasing rim thickness. The fillet radius is found to have a significant effect upon the maximum stresses at the root surface. These stresses increase with decreasing fillet radius. The fillet radius has little effect upon the internal root section stresses.