Dynamic Characteristics Analysis of Helical Gear System Under Stochastic Disturbance and Friction
An 8-DOF single-stage helical gear transmission model considering random disturbance and friction was established.According to the gear meshing principle,the frictional force and force arm of the system were solved.The differential equations were solved by Runge-Kutta method,and the bifurcations,time history and Poincare maps of meshing frequency were combined.The dynamic characteristics of the system under the action of friction and random disturbance meshing frequency are analyzed.The results show that with the increase of meshing frequency,the system moves from periodic motion to chaotic motion.The friction coefficient does not change the bifurcation characteristics of the system,but it will affect the period-doubling phenomenon near the chaotic region.The random disturbance meshing frequency will change the bifurcation characteristics of the system and make the system enter into chaos in advance.
FrictionRandom DisturbanceHelical GearBifurcationMeshing Frequency