反共振振动机械的同步性与同步传动性

Vibration Synchronization and Vibratory Synchronization Transmission of Anti-resonance Vibrating Machines

对惯性式反共振振动机进行动力学建模与求解,建立反共振振动机的动力学方程和两激振电动机轴的力矩方程,推导反共振状态下的同步性判据、同步传动性判据、同步稳定性判据和同步传动稳定性判据,从理论上证明了在反共振状态下,不但能够实现振动同步,而且能够实现同步传动;同步性指数总是远大于同步传动性指数。因此只要能够实现振动同步传动就肯定能够实现振动同步。在两轴能够实现自同步的情况下,却不一定能够实现同步传动。通过试验验证了理论结果的正确性。

The dynamics equation and the moment equation of anti-resonance vibrating machines are proposed. Synchronization criterion, synchronization stability criterion, synchronization transmission criterion and synchronization transmission stability criterion are also formulated under anti-resonance state. It is theoretically proved that under anti-resonance state, not only the vibration synchronization can be realized, but the vibratory synchronization transmission also be realized. The synchronization index is always much bigger than the synchronization transmission index. If the vibratory synchronization transmission can be realized, the vibration synchronization will be reached surely. The vibratory synchronization transmission will not be definitely obtained, even the vibration synchronization is already realized. The above analysis is verified through the laboratory tests.