Nonlinear dynamic characteristics analysis of herringbone gear transmission system with tooth root crack

Herringbone gears have been widely used in high-speed and heavy-duty fields such as ships, aerospace and automobiles due to their outstanding bearing capacity, high contact ratio, small axial force and stable transmission. Under the factors such as high speed and heavy load, the gear may crack at the root of the tooth, which affects the normal operation of the gear system. In this paper, the herringbone gear transmission system is taken as the research object, and the nonlinear dynamic model of the herringbone gear transmission system considering cracks is established under various excitation factors. According to the potential energy method, the time-varying meshing stiffness of the herringbone gear transmission system considering the root crack is calculated, and the stiffness variation law under different crack parameters is analyzed. The Runge-Kutta method is used to solve the dynamic differential equation. Combined with the overall bifurcation diagram, local time history diagram, frequency domain diagram, phase diagram and Poincare<acute accent> section, the influence of different excitation frequencies and crack damage on the nonlinear dynamic characteristics of herringbone gear transmission system is analyzed.