2-Dimensional Domain Characteristics of Exciting Parameters of Herringbone Planetary Gear System
In order to explore the two-dimensional domain characteristics of excitation parameters of herringbone planetary gear system,a translation-torsion dynamic model of the system was established,and the Runge-Kutta method was used to numerically solve the differential equations of the system of eliminating rigid body displacement and dimensionality.Based on the discrete spatial domain cell mapping method,and the two-dimensional domain diagram formed by the meshing damping ratio and the input power of the sun gear was drawn,and the two-dimensional domain boundary characteristics of the system excitation parameters were analyzed by means of displacement bifurcation diagram,FFT spectrum diagram,phase diagram and Poincaré mapping.The results show that:under the condition of satisfying the working conditions of the system,appropriately increasing the meshing damping ratio can make the system change from chaotic motion to periodic motion;if the meshing damping is relatively small,the system is sensitive to the change of the input speed of the sun gear,and increasing the input speed of the sun gear can make the system enter a stable 1-period motion to reduce the vibration response of the system;when the input power of the sun gear is small,the system is in a large-scale chaotic motion area,by increasing the input power of the sun gear,the system tends to stabilize the periodic motion and improve the system operation stability.The research results can provide a reference for selecting the range of excitation parameters for stable operation of herringbone planetary gear system.