The vibration loose machine was designed to pre-loose the strips being cut. It was beneficial to increase the moisture regain of the stem. The Single Vibrating Motor was placed transversely on the vibrating body as an excitation source of the vibration loose machine. The differential equation of its vibration was established based on analyzing the structure of the vibrating body when the rubber elastic component was regarded as a rigid body. The motion equation and trajectory of the vibrating body could be obtained in more details. The vibration characteristics were analyzed comparatively by the two kinds of calculation method. The result indicated that the motion trajectory of the vibrating body was an elliptic when the rubber elastic component was regarded as a rigid body. Conversely, the inertia force of the vibration motor in the vertical direction was all almost balanced by the rubber components. The excitation force was mainly derived from the transverse component of the rotational inertia force of the vibration motor. Therefore, the motion of the vibration body was an approximate linear ellipse. The structure design could meet the use requirements and achieve the purpose of reducing cost to increase benefits.