The waste power battery drive system utilizes a unique form of chain drive that connects the silo. However, due to the large vibration amplitude of the silo during actual operation, it was necessary to establish a three-dimensional model of the automatic feeding mechanism using Solidworks. Through Solidworks/simulation modal analysis, the relationship between the excitation frequency and the natural frequency of the system was analyzed and compared. Furthermore, the model structure was imported into ADAMS for dynamic simulation analysis to study the impact of chain speed, load, and silo number on the system's operational stability. The simulation results indicate that, for this type of low-speed chain drive mechanism, the silo generates periodic excitation to the system through the sprocket. It is important to keep this excitation away from the first-order natural frequency of the system. Moreover, the load quality within the design scope has little impact on the system, and increasing the number of silos can help to enhance the stability of the system's operation. The above conclusions are important for suppressing vibrations in such forms of chain drives.