Accurate Modelling and Transient Meshing Analysis of Involute Spur Gear Based on the Principle of Gear Shaping

Abstract

The gear is one of the most widely used and vital parts having freeform surfaces. Accurate modelling and strength calculation are the basis of gear design and optimization. The traditional gear design and the existing finite element analysis methods cannot effectively solve these problems. Only a simple model can be established and the static strength analysis can be carried out at a certain meshing position. In this study, accurate equations of the tooth surfaces of a spur gear were derived based on the principle of gear shaping. Then, the parametric finite element modelling and simulation of the transient meshing of the spur gear have been realized using ANSYS software, and the stress distribution and variation trends of the gear during the meshing process have been analysed. Finally, the method is verified by simulation and comparison. The analysis results show that the effect of the tooth fillet surface on the strength of the gear is very large, and the bending stress and contact stress of the gear are nonlinear in the meshing process. The proposed method can accurately establish the model including the tooth fillet surface of the spur gear, and accurately analyse the strength of the spur gear pair. This makes up for the shortcomings of the existing method, and can be applied to other gear forms after appropriate modification.

Modelling of Straight Bevel Gear Transmission and Simulation of Its Meshing Performance

“…6 that both contact stress and root bending stress underwent three phases, from the meshing of two teeth (two teeth meshing zone), the meshing of a single tooth (single tooth meshing zone), to the meshing of two teeth (two teeth meshing zone). The contact stress and the bending stress of the driven gear peaked simultaneously in step S1 [16], while the bending stress of the driving gear peaked in step S2.…”

A Novel Axial Modification and Simulation Analysis of Involute Spur Gear

“…Besides, the model of bigger gear without modification is built using universal method. According to the previous work [23] our research group done, the simplified meshing model of gear pair can also be built. Specially, in order to imitate the axial deviation between the gear pair, the driven gear should rotate based on the value of deviation, and the rotation angle is shown as Eq.…”

Research on Meshing Characteristics of Shearer Walking Wheel Based on Rigid-Flexible Coupling

“…Di et al [12] established the dynamic transfer model of the traction unit, analyzed its dynamic response under impact load, and proposed a reliability evaluation method based on the highorder stochastic response method. Zeng et al [13] established the precise parametric models of the spur gear according to the principle of gear shaping, and the error of the driven gear rotation angle between the simulation result and the theoretical value is 8.85%, providing the reference for the precise design and optimization of gear transmission. Wang et al [14] proposed a new system-structure coupling analysis method based on the consideration of both system excitation and structural parameters, which was used in the structural dynamic analysis of planetary gears, with obvious advantages over the traditional analysis model.…”