双机双质体振动系统的自同步运动

Self-synchronous motion of a dual-mass with two motors vibrating system

以双机双质体振动系统为研究对象,进行了自同步运动研究.应用拉格朗日方程建立振动系统主振方向的运动微分方程,通过使用传递函数,得到了振动系统稳态时的同步响应.建立了振动系统主振方向的相对运动微分方程,得到了主振系统固有频率与振动系统稳态时相对运动的同步响应.基于以上动力学模型,对系统进行了数值仿真分析,因为亚共振有其特殊的工程意义,定量研究了振动系统在亚共振工作状态下,两电动机的转速、相位差,及两质体各自的位移与相对的位移.通过计算机的数值仿真验证了理论推导的正确性.

The self-synchronous motion of a dual-mass with two motors vibrating system is studied.The Lagrange equations were used to establish differential motion equations of the vibration system.By using the transfer function,the synchronization response of the vibration system was obtained.In addition,the relative motion differential equations of the main vibration direction of the vibration system were established.Thereby,the natural frequency of the main vibration system and the synchronous response of the relative motion of the main vibration system were approached.Based on the dynamic models,the selfsynchronization simulation was performed.The vibrating system under sub-resonant working condition was quantitatively investigated,including：the two motor speed and phase difference,the displacement of the two mass and relative displacement of the two mass.And the correctness of the theoretical analysis was verified.