Papers by Keyword: Variable Curvature

Abstract: A model of gear contact has been established based on Hertz theory. Local coordinates are constructed on different meshing points because curvature of gear profile is not constant and then distributions of residual stresses and strains are given. Upper and lower bounds for the shakedown limits have been obtained. An approximate algorithm based on a stress invariant hypothesis and a stress/strain relaxation procedure is developed to solve residual stresses and strains accumulation in elastic-plastic stress analysis of gear contact. The steady-state residual stresses of gear under repeat meshing are calculated. The results are useful information for the strength design of gear.

Abstract: A shakedown mathematical model of gear contact has been developed. A direct method is applied to solve the mathematical model. Local coordinates are constructed on different meshing points because curvature of gear profile is not constant. Distributions of residual stresses and strains are given base on variable curvature surface. The numerical approach consists of an operator split technique, which transforms the elastic-plastic problem into a purely elastic problem and a residual problem with prescribed eigenstrains. The eigenstrains are determined using an incremental projection method. Contact stresses and contact residual stresses of meshing gear teeth with standard and modified profile are computed. The results show compressive residual stress can improve capacity of gear and operating life. This aspect may contribute to future developments in the understanding of gear durability.