Research on tooth profile modification based on system dynamic characteristics under thermoelastic coupling condition

The tooth profile modification was considered as a part of the static error of a gear transmission system. Subsequently, the thermodynamic equation of the system after the tooth profile modification was derived by introducing the equivalent static transmission error and thermal meshing stiffness. The effect of the tooth profile modification on the dynamic characteristics of the gear transmission system under the thermoelastic coupling condition was systematically analysed. Then the optimal thermal tooth profile modification method of gear which considered the thermal dynamic characteristics was obtained. The results indicate that the tooth profile modification is equivalent to increasing the load excitation of the system, and the load increment is equal to the sum of the products of the meshing stiffness and modification amount of each related single tooth pair. After modification, the response of the system dynamic error tends to be constant, and the dynamic load coefficient is approximately 1.0.