Analysis of the characteristics of gear systems considering the hertzian stiffness

The gear-rotor system is a core transmission component in fields such as railway and aerospace. As one of the key internal motivating factors of the system, the time-varying meshing stiffness directly affects its vibration and operational stability. Hertzian contact stiffness, as the core dynamic component of the time-varying meshing stiffness, exhibits load-dependent nonlinear characteristics due to the dynamic variation of meshing force, yet this characteristic has been neglected in most studies. Therefore, it is of great significance to establish a calculation model considering the dynamic Hertzian contact stiffness and explore its influence on the system for improving the accuracy of the dynamic investigation of the gear-rotor system.