三激振器振动系统的振动同步传动

在振动同步理论研究中,存在着一种特殊现象,无直接驱动源的激振器仍能跟随其他有源驱动的激振器进行同步运转,称之为振动同步传动。针对三机驱动水平放置的振动试验台,应用Lagrange能量方程建立动力学模型,根据线性叠加原理得到系统稳定时的响应,利用时间双尺度法获取系统的平均力矩平衡方程,并给出了系统实现振动同步和振动同步传动的同步性判据及同步状态与振动同步传动状态下的稳定性判据。在供电频率50Hz的试验条件下,测得电机2及电机3断电前后系统稳态时的激振器相位差,验证了理论推导的正确性,为振动同步传动理论在多机振动同步机械上的应用提供了依据。

Vibratory Synchronization Transmission in the Vibrating System of Three Exciters

The principle that a non-powered motor rotates synchronously as a powered motor is called vibratory synchronization transmission. A dynamics model is set up for a vibrating bedstand of three homodromy exciters, , and then the steady-state response and average torque equilibrium equations of system are derived. Finally, the synchronization criterion, the stability criterion of vibratory synchronization and the vibratory synchronization transmission state are obtained. Meanwhile, the experiments proceed on the condition of 50Hz power-supply frequency, with the hall sensor measuring system. The image of phase differences is acquired before and after cutting off motor No.2 and No.3. The experimental results verify the effectiveness of the theory and method, which provides the basis for the application of Multi-exciters vibratory synchronization machines in vibratory synchronization transmission.