非对称双激振器振动同步传动

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。本文对同向回转且非对称布置的双激振器振动系统的振动同步传动理论进行了研究。采用拉格朗日方程建立振动系统的运动微分方程。应用小参数平均法获得振动系统的频率俘获方程，进而获得系统实现振动同步传动的同步性判据及振动同步传动状态的稳定性判据。根据理论结果对系统进行数值分析与讨论，得到振动系统的运动选择特性；最后，对该振动系统样机进行试验，验证了理论分析的正确性。
Abstract：In study on the vibration synchronization theory, there is a specific phenomenon that an exciter without a directly driving source can follow another active drive exciter to operate synchronously.This phenomenon is called the vibratory synchronization transmission.Here, the theory of vibratory synchronization transmission for an asymmetrical two-exciter system was studied.The motion equation of the vibrating system was derived with Lagrange equation.The average method of small parameters was adopted to deduce the frequency capture equation of the vibrating system.Then the criterion of synchronism for the system to realize the vibratory synchronization transmission and the criterion of stability for vibratory synchronization transmission state were obtained.According to the theoretical results, the system was numerically analyzed and discussed to get the motion selection characteristics of the system.Finally, the prototype of this vibrating system was tested to verify the correctness of the theoretical analysis.