According to the meshing mathematical model of rolling coupling with the method of whole coupled matrix

the rolling coupling-rotor system coupling vibration equation was established. And combined with examples

the dynamic responses of the rolling coupling under the condition of different torques transmission was calculated to reveals the dynamic rules of the rolling coupling rotating at high-speed. The results show that

when the transmission torque is low (range from 1 N·m to 100 N·m)

at high speed rotation

the transmission stability of rolling coupling is sensitive to the torque and the performances of driving is poor. But in this range

the amplitude is decreased sharply while the torque is increasing

which facilitates the coupling quickly adjust to the relative stable transmission state. When the rolling coupling running at high-speed with large torque

the amplitude variation is small and the performances of driving is good. Along with the increase of torque

the amplitude of variation becomes smaller and tends to be stable to the end

which implies that the rolling coupling is sutiable for the system working under heavily and unstablly torque. The reuslts also indicate that the mutual influence of the amplitude of the nodes each on the left-coupling and right-coupling is very small

so the rolling coupling can isolate the adverse vibration transferring between systems

which is in favor of multi-rotor system maitaining stable operation.