基于有限元法的双渐开线齿轮啮合刚度计算  

Meshing stiffness calculation of double involute gear based on finite element method

作　　者：樊智敏[1] 江峰 马瑞磷 王明凯 徐俊[1] FAN Zhi-min;JIANG Feng;MA Rui-lin;WANG Ming-kai;XU Jun(College of Mechanical and Electrical Engineering,Qingdao University of Science and Technology,Qingdao 266061,China)

机构地区：[1]青岛科技大学机电工程学院,山东青岛266061

出　　处：《机电工程》2021年第2期151-157,共7页Journal of Mechanical & Electrical Engineering

基　　金：山东省自然科学基金资助项目(ZR2018MEE014)。

摘　　要：针对双渐开线齿轮啮合刚度变化规律不明的问题,对其啮合刚度的时变性进行了研究,提出了一种基于有限元法建立的双渐开线齿轮啮合刚度计算模型,用于求解双渐开线齿轮时变啮合刚度。应用有限元分析软件ABAQUS提取了齿面法向接触力和综合弹性变形,根据刚度公式求解了啮合刚度;研究了不同齿宽条件下主、从动轮综合弹性变形和啮合刚度的变化规律,对比分析了同参数、同工况条件下双渐开线齿轮与普通渐开线齿轮啮合刚度的差异,并与ISO6336—1:2006中啮合刚度的计算方法进行了比较,验证了该齿轮啮合刚度计算方法的正确性。研究结果表明:在一个啮合周期内,齿宽越大,综合弹性变形量越小,单齿啮合刚度越大;双渐开线齿轮综合时变啮合刚度变化趋势与普通渐开线齿轮相似,双渐开线齿轮综合啮合刚度小于同参数的普通渐开线斜齿轮,双渐开线齿轮综合啮合刚度波动幅值略低于普通渐开线齿轮。Aiming at the unclear change of meshing stiffness of double involute gears, the time-varying nature of meshing stiffness was studied. A calculation model for the meshing stiffness of double involute gears based on the finite element method was proposed and it was used to solve the time-varying meshing stiffness of the double involute gears. The finite element analysis software ABAQUS was used to extract the tooth surface normal contact force and comprehensive elastic deformation. The meshing stiffness was solved according to the stiffness formula. The variation law of comprehensive elastic deformation and meshing stiffness of driving gear and driven gear under different tooth width was studied. The difference of meshing stiffness between double involute gear and ordinary involute gear under the same parameters and working conditions was comparing and analyzed. Comparing with the calculation method of meshing stiffness in ISO6336-1:2006, the correctness of the calculation method was verified. The results indicate that the larger the tooth width is, the smaller the comprehensive elastic deformation is, and the greater the meshing stiffness of the single tooth is. The variation trend of comprehensive time-varying meshing stiffness of double involute gears is similar to that of common involute gears. The comprehensive meshing stiffness of double involute gear is less than that of common involute helical gear with the same parameters, and the fluctuation amplitude of comprehensive meshing stiffness of double involute gear is slightly lower than that of common involute gear.

关 键 词：双渐开线齿轮 有限元法 弹性变形 啮合刚度 

分 类 号：TH132.41[机械工程—机械制造及自动化]