Abstract
PurposeThe purpose of this paper is to calculate the meshing stiffness of nutation face gear considering the roughness, establish the calculation method of time-varying meshing stiffness of rough tooth surface and analyze the influence of roughness, load and other factors on the meshing stiffness of tooth surface.Design/methodology/approachThe Weierstrass–Mandelbrot (W-M) function in the Majumdar–Bhushan model is used to characterize the rough contact line of the tooth surface, the normal height and radius of the micro convex body are calculated and the contact flexibility of the contact point of the tooth surface is obtained. The contact flexibility and the bending shear deformation flexibility obtained previously are substituted into the improved deformation compatibility equation for iterative calculation, and the time-varying meshing stiffness of the nutation face gear considering the roughness is obtained.FindingsCompared with ABAQUS finite element simulation results, it is found that the meshing stiffness curve of rough tooth surface is more gentle than that of smooth tooth surface, the meshing stiffness value is smaller and the meshing stiffness change is smaller at the position where the number of gear teeth coincide changes.Originality/valueIn the process of calculating contact deformation, the fractal theory W-M function is used to characterize the contact line of the rough nutation face gear, and the deformation coordination condition considering roughness is improved. Therefore, the method of time-varying meshing stiffness considering roughness can obtain more accurate results, which provides theory and data for the subsequent dynamics analysis of the nutation face gear transmission.
Subject
Computational Theory and Mathematics,Computer Science Applications,General Engineering,Software
Reference32 articles.
1. A dynamic model to determine vibrations in involute helical gears;Journal of Sound and Vibration,2003
2. A modified method for determining the mesh stiffness and load distribution of a cylinder gear based on linear programming;Mechanical Science and Technology for Aerospace Engineering,2008
3. Research on the variation rules of meshing stiffness of the helical gear;Journal of Aerospace Power,2010
4. Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth;Engineering Failure Analysis,2011
5. Fractal model of double involute gears time-varying meshing stiffness considering friction factors;Tribology,2023