Considering multi-state meshing, load distribution rate, time-varying meshing stiffness and backlash, a bend-torsion-shaft dynamic model of straight bevel gear transmission system is established. The load distribution ratio and time-varying meshing stiffness are calculated by using the finite element method. Based on Poincar é mapping theory and bifurcation theory, the influence of meshing frequency and comprehensive transmission error on the dynamic characteristics of the system is studied. The conclusions are as follows:
(1) Combining the bend-torsion-axis dynamic model of straight bevel gear transmission system established in this paper with three Poincar é sections, the dynamic characteristics of the system can be more accurately revealed.
(2) According to the meshing principle of straight bevel gear transmission system, the load distribution rate and time-varying meshing stiffness calculated by the finite element method are more accurate than those calculated by the traditional method, and can better reflect the operation rules of the system parameters.
(3) When the meshing frequency is small, the nonlinear dynamic characteristics and dynamic meshing characteristics of the system are simple and stable. With the increase of the meshing frequency, the dynamic meshing characteristics of the system become very complex; With the increase of the fluctuation amplitude of the integrated transmission error, the dynamic characteristics of the system become more and more complex, and the transmission stability of the system also deteriorates.