Response sensitivity of the linear vibration of the gear system of the vehicle transmission

The transmission system of vehicles whose input source is the torque of the engine is studied. The dynamic model is built by using lumped parameter method considering the coupled effects of bending and torsion. The response sensitivity equations derived from the dynamic equations are proposed by the direct derivation method. Then, the solutions of the response sensitivity equations are transformed into the sensitivity of actual physical quantities such as the additional torque and reaction force of the bearing with respect to the design parameters. Finally, the solutions of dynamic equations and response sensitivity equations are achieved by fixed-step RK4 numeriacal approach. Some useful laws are achieved by comparing different results of sensitivity equations. The sensitivity of coupled effect model of bending and torsion makes some adjustment when comparing previous model. There is some relation between the vibration energy of the location and the sensitivity of the force with respect to design parameters. The bigger vibration energy means the bigger value of sensitivity.