Ring die pellet mills are widely applied in feed and biomass fuel. Particles are formed by rotating ring die, so torsional vibration is essential. Because the material has randomness in the extrusion process, the torsional vibration of ring die pellet mills is random, which affects the life, stability, and reliability. Using Lagrange equations and the lump-mass method, the torsional dynamic model of the ring die pellet mill is established. Based on the stochastic volatility model, the extrusion force is created. The dynamic equation of the ring die pellet mill is solved using the Runge-Kutta integration method, and the results show that the torsional vibration is related to the extrusion force, rotational speed, errors in installation, and fabrication. The torsional vibration and the torque of the ring die have similar changes in trend. The error affects the torsional vibration when it reaches a certain level.
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