空间单质体双机同轴线振动系统的自同步特性

发布时间：2018-05-20 11:05

本文选题：振动机械 + 非线性振动　；参考：《振动工程学报》2017年05期

【摘要】：对两偏心转子同一旋转轴线驱动振动系统的自同步特性进行了研究。首先建立了该类振动系统的动力学模型,利用拉格朗日方程推导出其运动微分方程。其次将两偏心转子的角速度和相位差进行平均,得到振动系统的稳态响应。接着由Hamilton原理推导出两偏心转子实现同步的两大条件,即同步性条件和同步运动的稳定性条件。然后根据两大条件得出振动系统具有两类工作状态的结论。最后通过试验验证了理论分析的正确性。试验结果证明了振动系统可以实现两偏心转子之间无联接轴形式的同步运动,而且在满足一定结构参数条件下,分别实现了空间0°相位差的圆周运动和180°相位差的圆锥运动。相关研究结果可以为双机同轴类振动机械的设计提供理论上的依据。
[Abstract]:The self-synchronous characteristics of two eccentric rotors driven by the same rotating axis are studied. Firstly, the dynamic model of this kind of vibration system is established, and the differential equation of motion is derived by using Lagrange equation. Secondly, the angular velocity and phase difference of the two eccentric rotors are averaged, and the steady response of the vibration system is obtained. Then two conditions for the synchronization of two eccentric rotors are derived from the Hamilton principle, that is, the synchronization condition and the stability condition of the synchronous motion. Then according to the two conditions, it is concluded that the vibration system has two kinds of working states. Finally, the correctness of the theoretical analysis is verified by experiments. The experimental results show that the vibration system can realize the synchronous motion without connection shaft between the two eccentric rotors, and the circular motion with 0 掳phase difference in space and the cone motion with 180 掳phase difference are realized respectively under the condition of certain structural parameters. The results can provide theoretical basis for the design of two-machine coaxial vibration machinery.
【作者单位】：东北大学机械工程与自动化学院;东北大学秦皇岛分校控制工程学院;
【基金】：国家自然科学基金资助项目(51675091)
【分类号】：TH113.1

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