Load and Stress Analysis of Cylindrical Worm Gearing using Tooth Slicing Method

A method for the determination of load and stress distributions of the instantaneously engaged teeth of cylindrical worm gears is represented in this paper. The method is based on the assumption that both the worm and gear can be modeled as a series of spur gear slices. The exact geometry and point of load application of each slice depends on its location with the mesh. By calculating the applied load and stress for each slice, the same can be determined for the entire worm gear set. The method takes into consideration tooth stiffness variation from root to tip, tooth bending deflection, local contact deformation, tooth foundation deformation and, the influence of gear parameters on load and stress. Calculated results were found to agree with experimental and analytical ones obtained from literature under given operating conditions.

Keywords:

gear , load/stress distribution , worm , wheel , tooth stiffness , contact line