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

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）

Abstract: 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.
Key words: double involute gears; finite element method; elastic deformation; meshing stiffness