Stability and combined vibration of gear transmission system in shearer cutting section under multi-parameter excitation

The torsional vibration of the gear device in the shearer permanent magnet semi-direct drive cutting transmission system is easily induced by the end load impact and the internal and external parameter excitation. To solve this problem, taking into account the time-varying meshing stiffness, meshing damping, backlash and dynamic transmission error, the nonlinear torsional dynamic model of the gear system is established by the concentrated mass method. The approximate analytical solution and the stability boundary curve of the gear device in the permanent magnet semi-direct drive cutting drive system of the shearer are obtained under multi-parameter excitation. The system stability parameter threshold is determined. The frequency response equation of steady-state vibration is constructed. The corresponding frequency response curve is drawn, and the combined resonance state of the gear pair under the coupling of internal excitation and external excitation is studied. The effects of static excitation, dynamic excitation, internal excitation and external excitation on the resonance response of the shearer cutting drive system are analyzed to provide guidance for the optimal design of shearer permanent magnet semi-direct drive cutting gear drive system.