Tooth Surface Modification for Helical Gear Pairs considering Mesh Misalignment Tolerance

Guan Qiao,Guosheng Han,F Viadero,Bing Yuan

doi:10.1155/2021/5563648

Guan Qiao, Guosheng Han + Show 2 more

Open Access

https://doi.org/10.1155/2021/5563648

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Abstract

Mesh misalignment in mating the gear tooth surface is common and difficult to be determined accurately because of system deformation and bearing clearances, as well as manufacturing and assembly errors. It is not appropriate to consider the mesh misalignment as a constant value or even completely ignore it in the tooth surface modification design. Aiming to minimize the expectation and variance of static transmission error (STE) fluctuations in consideration of mesh misalignment tolerance, a multiobjective optimization model of tooth surface modification parameters is proposed through coupling the NSGA-II algorithm and an efficient loaded tooth contact analysis (LTCA) model. The modified tooth flank of helical gear pairs is defined using 6 design variables which are related to profile modification, lead modification, and bias modification. The influences of mesh misalignment on time-dependent meshing stiffness (TDMS) and STE of unmodified and modified helical gear pairs are investigated. Then, the dynamic transmission error (DTE) of modified helical gears in consideration of mesh misalignment is discussed. The results indicate that the designed modified tooth surface shows good robustness to mesh misalignment.

Highlights

With the increase in requirement of low vibration of mechanical equipment, the reduction of the vibration level in the design and machining of a gear transmission device has always attracted widespread attention of researchers and engineers in recent years
In order to show the robustness of the vibration level of modified helical gear pairs to mesh misalignment, the dynamic transmission error (DTE) and DBF of modified helical gear pairs at various mesh misalignment conditions are discussed
When the mesh misalignment is 25 μm, the time-dependent meshing stiffness (TDMS) and static transmission error (STE) curves under different normal meshing force conditions are shown in Figures 10 and 11

Summary

Introduction

With the increase in requirement of low vibration of mechanical equipment, the reduction of the vibration level in the design and machining of a gear transmission device has always attracted widespread attention of researchers and engineers in recent years. Helical/double-helical gear pairs are widely used in marine, helicopter, mining, turbine, and other power transmission fields. Ere are many research studies about parametric investigations, development of a new model, and the method of tooth surface modification for spur gears and helical gears, as well as double-helical gears. Wang et al [2] proposed a slice model for calculating TDMS of a spur gear pair with lead crown and misalignment. Beinstingel et al [3] developed an efficient algorithm for the calculation of TDMS of cylindrical gear pairs with profile modification. Fernandez et al [5,6,7] established a hybrid finite-element and analytical model for calculating TDMS of spur gear pairs and investigated the effect of profile deviations on mesh stiffness, transmission error, and power losses. Wang et al [12]

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