Abstract

Taking the spur gear as the object of study, based on the dynamic analysis of gear transmission system, the dynamic stress intensity factors of cracked gear teeth are studied by using ANSYS software. The calculation of dynamic stress intensity factor is realized by ANSYS parametric design language. Firstly, the involute tooth profile equation and the root transition curve equation of the gear teeth in the rectangular coordinate system are established, and the geometric model of the gear tooth is generated, and the crack is generated at the root of the gear tooth. Then, the mesh is divided and the loads are applied. Finally, the stress intensity factors at different crack depths are calculated and analyzed. The results show that the stress intensity factor varies significantly with the variation that location of the meshing point and the depth of the crack.

Highlights

  • Gear driving is one of the main transmission forms in mechanical transmission

  • The meshing force is added to the gear tooth surface, and the stress intensity factors are analyzed at different meshing points

  • When the crack depth (a=2.5mm) is 2.5mm, the variation of the stress intensity factor of the tooth at the root of the gear tooth during the meshing process is shown in figure 6: The following conclusions can be drawn from the figure: (1) In the meshing process of gear teeth, the stress intensity factor at the crack of the root tooth changes continuously with the change of the meshing point; (2) The maximum value of the stress intensity factor appears in the single tooth meshing zone, which is basically consistent with the position of the maximum meshing force; (3) The calculated stress intensity factor is similar to the trend of the meshing force, showing a trend of increasing first and reaching the maximum and decreasing

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Summary

Introduction

Gear driving is one of the main transmission forms in mechanical transmission. It is widely used in industry, agriculture and national defense [1]. In the study of gear drive system [2], the gear tooth crack is found and the stress intensity factor at the crack tip is calculated. Yang Shenghua [6] studied mining machinery gear tooth fracture process and analyzed variation of stress intensity factor of the gear root with crack depth and tooth fracture path by finite element method. The stress intensity factor of the crack tip is approximately calculated, and the stress and strain field is obtained, the fracture characteristics are studied. From the point of view of linear elastic fracture mechanics, the fracture mechanics characteristics by ANSYS software are less, which is the starting point of this thesis

Gear Dynamics Model
Calculation of Gear Dynamic Load
Fracture Mechanics Analysis of Cracked Gear Teeth Based on Dynamic Analysis
Establishment of Finite Element Model of Gear
Calculation of Stress Intensity Factor in Gear Root Crack
Meshing of Crack Tip and Treatment of Boundary Conditions
Program Computing Using APDL Language and Result Analysis
Calculation of Stress Intensity Factors at Different Crack Depths
Conclusion
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