基于改进能量法的行星齿轮时变啮合刚度求解

Time-varying Mesh Stiffness Calculation of Planetary gear based on Improved Energy Method

时变啮合刚度是研究行星齿轮故障机理的重要参数。在考虑基圆与齿根圆之间关系的情况下,以齿数为参量,建立了一个改进的悬臂梁模型。对行星齿轮的各对齿轮啮合的时变啮合刚度进行分情况讨论,在考虑轮体刚度的基础上,应用能量法求解更加准确的轮齿时变啮合刚度。在该方法的基础上,分别求解太阳轮、行星轮、内齿圈存在裂纹时各对轮齿啮合的时变啮合刚度,并分别探究裂纹深度和裂纹角度对时变啮合刚度的影响。该研究为掌握行星齿轮故障机理提供了理论帮助。

The time-varying meshing stiffness is an important parameter of the planetary gear failure mechanism. In considering the relationship between the base circle and the dedendum circle under the condition of the number of teeth for parameters,an improved model of cantilever beam is established. For each pair of planetary gear meshing time-varying meshing stiffness are discussed,considering the wheel body stiffness,energy method is applied to solve more accurate tooth meshing stiffness. On the basis of this method,the timevarying meshing stiffness of sun wheel,planetary wheel and internal ring gear when crack exists in each pair in meshing is calculated and the effects of crack depth and angle on time-varying meshing stiffness are explored.The research provides theoretical help for the mastery of planetary gear fault mechanism.