摘要
对一种双机驱动无摆动振动机的自同步理论进行了研究。该振动机由内、外两个质体组成,两偏心转子的旋转中心与内质体质心在同一条竖直轴上,使得两偏心转子的惯性力对该轴的力矩为零,从而消除了振动机的摆动。首先,利用拉格朗日方程建立了振动机的运动微分方程,分别得到了振动机运动自同步及其稳定性条件;然后,通过数值方法验证了理论分析的正确性,并发现系统的自同步能力与两偏心转子质量比正相关,与竖直方向频率比、共振激励角、内质体与振动系统质量比负相关。
The self-synchronous theory of a no-swing vibrating machine driven by dual-motor is researched.The vibrating machine comprises an inner plastidium and an outer plastidium.The rotational centers of two eccentric rotors are in line with the inner plastidium′s center of mass along a vertical axis.Therefore,the moments generated by the inertial force of the eccentric rotors to the vertical axis are zero,thus eliminating the swing of the vibrating machine.First,the differential motion equations of the vibrating machine are established using the Lagrange equation,and the conditions of self-synchronization and motion stability are obtained.Moreover,numerical simulations are carried out to verify the correctness of the theoretical analysis.It can be shown that the capability of self-synchronization is positively correlated with the mass ratio of the two exciters and negatively related to the frequency ratio along the vertical direction,the angle of the resonant excitation,and the mass ratio between the material box and the vibrating system.
出处
《振动．测试与诊断》
EI
CSCD
北大核心
2015年第3期541-546,595,共6页
Journal of Vibration,Measurement & Diagnosis
基金
国家自然科学基金资助项目(51175071)
中央高校基本科研业务费专项资金资助项目(N120203001
N130803001)
国家重大科学仪器设备开发专项资助项目(2013YQ470765)
关键词
自同步运动
振动机
稳定性
振动同步传动
self-synchronous motion
vibrating mechanism
stability
vibratory synchronization transmission
