Related Experiment Video
Updated: Jan 2, 2026

Mimicking and Measuring Occlusal Erosive Tooth Wear with the "Rub&Roll" and Non-contact Profilometry
Published on: February 2, 2018
Precise modeling of complex tooth surface microtopography and multi-degree-of-freedom nonlinear friction dynamics for
Shuai Mo1,2,3, Jiabei Gong1,2, Guoguang Jin1,2
1School of Mechanical Engineering, Tiangong University, Tianjin, China.
Abstract:
Face gear transmission is a kind of space-meshing mechanism that is mainly used in the field of aviation. Compared with traditional transmission, it has the advantages of stability, reliability, low noise, and strong carrying capacity. However, owing to its complex tooth surface, there are no means to accurately model the face gear. Likewise, research based on the geometry is difficult. Therefore, the tooth surface equation of the face gear is derived in this article based on the meshing theory. Based on the equations, the point cloud of the face gear tooth surface is calculated, the complex tooth surface is generated, and the face gear is accurately modeled. Moreover, taking tooth surface friction excitation into consideration, a multi-degree-of-freedom nonlinear dynamic model of face gear transmission system is established, using the adaptive variable step length Runge-Kutta method. As shown in the results, the bifurcation diagram, phase diagram, time history diagram, and Poincaré section diagram are combined to analyze the influence of tooth surface friction and meshing frequency on the dynamic characteristics of the system.
Related Concept Videos
Bearings: Problem Solving
Static and Kinetic Frictional Force
However, if two systems are in contact and are stationary relative to one...
Screw: Problem Solving
To evaluate the...
Frictional Forces on Screws
A jack with a square-threaded screw is a mechanical device used to lift heavy loads by applying a force at its handle. When the force is applied, the screw turns, raising the load. The screw can...
Design of Transmission Shafts
Deformation in a Circular Shaft

