Tooth tip chipping that the top of a tooth breaks away from lower portion is one of the common gear faults which will affect the dynamic characteristics of gears. In the assumption of plane-fracture tooth tip chipping, the tooth surface fracture line tilted configuration relatively to the gear axis is a curve, which is simplified to a straight in previous studies. However, such simplification will cause an estimate error of mesh stiffness. Therefore, to accurately estimate the mesh stiffness, failure models of tooth tip chipping for both internal gear and external gear are established by means of analytic geometry method in this paper. The fracture curve Eq. is derived by using analytic geometry method. And the mesh stiffness of the fault gear is derived via potential energy method and verified by the finite element method (FEM). The influence of different fault severity on the mesh stiffness is analyzed. The analysis results show that the proposed model can accurately evaluate the mesh stiffness of gears with tooth tip chipping and the modeling method can also be applied to other fault types.

齿顶从下部断开的齿尖崩裂是常见的齿轮故障之一，它将影响齿轮的动态特性。在假定平面断裂的齿尖崩裂的情况下，牙齿表面断裂线相对于齿轮轴线的倾斜配置为曲线，在先前的研究中简化为直线。然而，这种简化将引起网格刚度的估计误差。因此，为准确估计啮合刚度，本文采用解析几何方法建立了内齿轮和外齿轮的齿尖崩裂失效模型。断裂曲线 通过使用解析几何方法得出。并通过势能法推导了故障齿轮的啮合刚度，并通过有限元方法进行了验证。分析了不同断层严重程度对网格刚度的影响。分析结果表明，所提出的模型可以准确地评估齿轮齿尖崩裂的啮合刚度，并且该建模方法也可以应用于其他故障类型。