Research status of gear transmission system dynamics abroad

Tupin put forward the concept of equivalent meshing stiffness for the first time and established the dynamic model of gear meshing. The model is the earliest centralized parameter model, which lays a solid theoretical foundation for the development of dynamic model of gear transmission system. Later, some scholars realized that for the system with relatively small supporting stiffness of rotor, bearing, box and other parts, simple gear system dynamic model has certain limitations. When establishing gear transmission system, scholars began to take the complex structure including gear, transmission shaft, bearing and box as the research object to study the dynamics of gear transmission system more comprehensively characteristic.

Tordion proposed a dynamic model of gear transmission system considering torsional vibration of gear shaft. Steager established a 3-DOF dynamic model of the gear rotor system. The model assumes that the bearing and gear are flexible. The vibration characteristics of the gear rotor system are studied. Kohler et al. Proposed a 6-DOF dynamic model of gear system. The model considered the torsional vibration of gear pair and the vibration response of motor, load, transmission shaft and support system. Subsequently, Rommers proposed a model similar to Kohler to analyze the gear transmission system, and obtained more accurate results.

Benton and serieg studied the influence of time-varying meshing stiffness and transmission error on the vibration characteristics of gear transmission system by using the torsional vibration model established by Benton and serieg. Ozguven and Houser reviewed the lumped parameter models of gear system established by previous scholars, and divided these models into five categories: simple dynamic factor model, model considering stiffness excitation, gear system dynamic model, gear rotor dynamic model and torsional vibration model.

Chen et al. Studied the influence of friction, dynamic backlash and time-varying stiffness on the multi degree of freedom nonlinear gear transmission system, analyzed the difference between the static backlash model and the dynamic backlash model, and concluded that the existence of friction will increase the displacement. Shiau et al. Considered the parametric excitation of backlash, gear transmission error and rotor bending stress, established the gear transmission system model by using finite element method, and analyzed the influence of different parameter excitation on the vibration characteristics of the system.