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

Abstract

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 within 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 be in agreement with experimental and analytical ones obtained from literature under given operating conditions.

Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model

“…Some studies were theoretical. Falah and Elkholy [4] used their original slicing method to determine the stiffness, load, and stress distribution. Chen and Tsay developed a mathematical model to generate the geometry of a unique type of worm gear [5].…”

Time-varying mesh stiffness analysis of a single-roller enveloping hourglass worm gear

“…Falah et al. 35,36 proposed a method to calculate the stiffness of the worm gear by the slice theory, in which the total mesh stiffness of the worm contains bending stiffness, shear stiffness, radial compression stiffness, and contact stiffness. Then, the calculation formula of each stiffness and the connection relationship of stiffness was achieved.…”

Development of Computer-Based Model for Design and Analyses of Worm Gearing Mechanism

“…Four different gears were analyzed for geometric parameters using the model and they all gave results that showed good agreement with analytical results. Oladejo and Ogunsade [12] developed drafting software for gear using AutoCAD- [13] presented a method for calculating load and stress distributions of the instantaneously engaged teeth of cylindrical worm gears. The method was based on assumption that both worm and gear can be modeled as a series of spur gear slices and gave results in agreement with experimental and analytical results.…”