Vibration mechanism of gear system with angular misalignment error based on an improved meshing stiffness calculation method

Angular misalignment is a common error in gear system, which has a direct influence on gear system vibration characteristics.so the study of the error is significance to improve the reliability and stability of gear system. At present, many researchers use dynamic model to study vibration characteristics of gear system with misalignment. However, most of the studies ignore the effects of the errors on the meshing contact area. Therefore, based on analytical method and quadratic integration method, a meshing stiffness calculation model is proposed in this paper. With the proposed method, the varying of length and position of contact line during the gear pair meshing process is first taken into consideration. Then the time-varying meshing stiffness and the vibration responses is calculated through the modified stiffness calculation method and gear pair dynamic model. The results show that the contact line length with misalignment error yields a parabolic growth trend during the meshing period, and meshing stiffness of spur gear pair achieve an almost linear decrease as the misalignment increases.