A bending-torsion-axis coupling dynamic model of herringbone tooth planetary gear transmission system under time-varying meshing stiffness

tooth-side clearance and bearing clearance

integrated meshing error and load excitation was established

and the periodic motion and bifurcation of the system were studied. The global bifurcation diagram

load sharing coefficient

phase diagram and time history diagram of the system were obtained by numerical simulation

and the meshing state of the system was identified. The results show that the optimal load distribution effect of the system occurs in the periodic 1 when the vibration of the mesh

ing frequency is low

both the external

sp

1

l

and internal

rp

1

l

meshing are in the state of complete meshing. With the increase of meshing frequency

the dynamic meshing force and load sharing coefficient of the system increase

and there are Hopf bifurcation

the real-grazing bifurcation and periodic doubling bifurcation in the process of periodic vibration mutual transition.