An analytical method for calculating the tooth surface contact stress of spur gears with tip relief

作者：Wen, Qi^*; Du, Qungui; Zhai, Xiaochen

来源：International Journal of Mechanical Sciences, 2019, 151: 170-180.

DOI：10.1016/j.ijmecsci.2018.11.007

• Tooth surface contact stress
• Non-Hertzian contact
• Analytical model
• Spur gear
• Tip relief

Spur gears with tip relief can effectively improve transmission performance, and accurate determination of their tooth surface contact stress (TSCS) can provide guidance for structure optimization and performance evaluation. However, since the tip-relieved gear profile has not been accurately approximated with a quadratic parabola, the TSCS cannot be calculated using the cylindrical contact model of the Hertzian contact theory (Hertz model). Therefore, a new more accurate analytical model for calculating the non-Hertzian TSCS of tip-relieved gears is proposed in this paper. This model is established based on the accurate tooth profile equations represented by the parameter equations (new model). The solution of the model with an implicit function and a singular integral is also studied. Finally, the TSCS of two gear pairs with and without tip relief are compared for different parameters under different loads according to the new model, the finite element method (FEM model) and Hertz model. The results show that the tip relief will affect the maximum TSCS, location and size of the contact area, whereas the Hertz model cannot quantify these effects. However, the new model, which is validated using the FEM model, can provide accurate and reliable results.

• 出版日期2019-2
• 单位华南理工大学