Abstract:The synchronization and stability of a vibrating mechanical system with double rigid frames, driven by two vibrators, were investigated. The motion differential equations were established with Lagrange’s equation. The theoretical criteria of synchronization and stability were obtained using the average method and Hamilton’s principle, respectively. In numeric, qualitative analyses about synchronous and stable regions, and frequency-amplitude characteristic curve of the relative motion were deduced. Then the ideal parameter matching principle satisfying the engineering requirements was provided. Finally, simulations were given to examine the validity of the theoretical analyses. The results show that the final motion form of the system is determined by the synchronous and stable regions, while two rigid frames’ vibration amplitudes depend on the resonant type. When selecting the working point of the machine, the structural parameters and motor speed should be matched reasonably. The research can offer guidance for the design and application of vibrating mill.
李振民,张学良,岳红亮,闻邦椿. 双机驱动双质体振动机械系统的同步及其稳定性[J]. 振动与冲击, 2022, 41(4): 29-35.
LI Zhenmin,ZHANG Xueliang,YUE Hongliang,WEN Bangchun. Synchronization and stability of a vibrating mechanical system with double rigid frames driven by two vibrators. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(4): 29-35.
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