双电机驱动平面单质体振动系统自同步研究

Study of Self-Synchronization Theory of Planar Elemental Body Vibrating System Driven by Two Motors

根据哈密顿原理研究了同向双电机驱动平面单质体振动系统的自同步运动。首先建立单质体自同步振动系统的模型,运用哈密顿原理建立了振动系统运动微分方程并得到系统的振动响应,然后推导出哈密顿作用量的表达式,之后得到振动电机的同步条件,并由系统工作稳定性的一次近似判别法求得振动电机同步运行的稳定性工作条件。最后,利用相关数值对双电机驱动平面单质体振动系统自同步过程中的相关参数的关系,相位差、转速等进行了仿真,从而验证了理论分析的正确性。

Based on the Hamilton principle,the self-synchronous motion of planar elemental body vibrating system driven by two motors is studied.Firstly,the model of self-synchronous motion of planar elemental body vibrating system and differential motion equations of the vibrating mechanism utilizing Hamilton principle are established to get the vibration response and deduce the expression of Hamilton action.Then the synchronous condition of vibration motor is solved,and linear discriminance method of nonlinear system stability is used to obtain the condition of synchronous motion＇s stability.Finally,the numerical simulations of the self-synchronous motion of planar elemental body vibrating system such as phase difference and speed are carried out,and simulations prove the accuracy of the theoretical analysis.