Vibration Analysis of Split-Torque Transmission System with Tooth Crack Fault

This paper focuses on the vibration analysis for tooth crack detection of split-torque transmission system. Firstly, on the basis of the potential energy principle, a healthy tooth model and a cracked tooth model are established respectively. Corresponding mathematical equations of gear mesh stiffness are derived. Then, the dynamic model of a split-torque transmission system is established considering the translational and torsional motions. By implanting the tooth crack into different gears, the vibration responses of the split-torque transmission system are simulated and analyzed, and vibration signals of various conditions can be obtained to provide basis for the development of feature extraction and fault diagnosis methods.