Effect of Friction on Dynamic Response of A Power Split Transmission System

The tooth surface friction stiffness and friction torque coefficient equations of cylindrical gear are derived.On the basis of factors such as time-varying friction coefficient and mesh stiffness,support stiffness,torsional stiffness and comprehensive error,the dynamic equations of the gear trains with bending-torsional coupling are established.Using the Fourier series method,the total response of the system is obtained,and the influence of friction on it is analyzed. The results show that when the spur gear enters the meshing,the frictional amplitude of the tooth surface is larger than that of the gear when it is withdrawn from engagement,and the meshing force fluctuates greatly. The frictional force and dynamic meshing force of the herringbone gear tooth surface are relatively stable,and the fluctuation amplitude is much smaller than that of the spur gear. The amplitude of the bearing vibration is not affected by the friction,but the friction has a certain influence on the bearing force of the output shaft. The first-order natural frequency of the split stage and the power confluence stage has a large influence on the vibration of the bearing force.In general,the natural frequency of the power confluence stage has a large proportion of influence.