Study on multi-clearance nonlinear dynamic characteristics of herringbone gear transmission system under optimal 3d modification

The tooth surface 3d modification technology is the most effective method to realize the reduction of vibration and noise of gear system (GS) by comprehensively considering tooth profile modification and axial modification. Moreover, the system nonlinear factors such as backlash and bearing clearance will make the motion of GS have complex variability. Therefore, we will combine 3d modification technology with contact performance and dynamic characteristics to optimize the meshing characteristics of herringbone gear pair through tooth contact analysis technology, loaded tooth contact analysis technology and antlion optimizer with error minimum amplitude as optimization objective, determine three nonlinear dynamic model of herringbone gear for numerical solution. Finally, this paper studies the influence of different system parameters on the system nonlinear dynamic characteristics under 3d modification and non-modification from both local vibration characteristics on the diagrams of time history, phase, spectrum and Poincare map and global vibration characteristics on the diagrams of system bifurcation and maximum Lyapunov exponent. The results show: After optimizing modification, the system vibration is obviously reduced. With the increase of input power, input speed, backlash and static transmission error (STE), the system has jump, while there is no jump with the change of bearing clearance and damping ratio. Compared with other parameters, the changes of input speed and STE make system have complex bifurcation characteristics. The 3d modification can eliminate the jump and make system motion more regular.

Automated summary

This paper investigates the effectiveness of tooth surface 3D modification technology in reducing vibration and noise in a gear system. The results show that the optimized modification significantly reduces system vibration. Increasing input power, input speed, backlash, and static transmission error (STE) result in system jumps, while changes in bearing clearance and damping ratio do not cause jumps. Among the parameters, changes in input speed and STE create complex bifurcation characteristics in the system. Therefore, 3D modification can eliminate jumps and make the system motion more regular.