Nonlinear Dynamic Characteristic of Cross-Face Gear Transmission System
A multi-degree-of-freedom translation-torsional coupling dynamic model was established for the or-thogonal surface gear transmission system,incorporating factors such as tooth side clearance,time-varying mes-hing stiffness,and comprehensive meshing error.The dynamic equations of the dimensionless system were sub-jected to numerical analysis using the fourth-order Runge-Kutta method with variable step size and computer sim-ulation software.Qualitative examination was conducted on the nonlinear dynamic responses of the system influ-enced by various parameters.A comprehensive analysis encompassed the bifurcation diagram,maximum Lya-punov index,phase diagram,and Poincare section diagram of the system.Furthermore,an assessment was made regarding the influence of damping ratio and stiffness amplitude on the motion state of the system.The findings revealed that alterations in damping ratio and stiffness amplitude significantly impact both bifurcation and chaos characteristics within the system dynamics,resulting in diverse motion forms and rich transitions in motion states.
Face gear transmission systemNon-linearBifurcationChaotic characteristics
万方数据
维普
