Dynamics and strength of planetary gear with elements of increased flexibility at transient modes

Abstract

Abstract The increased flexibility of links and details of planetary gear allows to reduce unevenness of load in gear meshing. On the other hand, the probability of emergence of vibrations increases. For the analysis of dynamics and strength of planetary gear during running-up the system of nine differential equations received earlier is used. For lowering of degree of a system a number of assumptions is accepted. The most part of deformations, in view of smallness, and the related elastic forces, are not considered. In the generalized forces the following power factors are left: torques of the engine and forces of useful resistance; elastic forces in axles of satellites. The system is reduced to two equations: vibrations of a satellite axle and rotation of a sun gearwheel. Dependences of natural frequencies of vibrations of satellite axle on gear parameters are received. It is considered the constant and variable torques of driving forces. Proceeding from satellite axle strength of bending, dependences between extreme value of the driving torque and rotary speed of a sun gearwheel and mass and dimensional characteristics of planetary gear are set.