超共振振动转子系统振动同步及同步传动

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (12) : 44-52.

论文

超共振振动转子系统振动同步及同步传动

陈帮1，夏晓鸥1，王晓波2

作者信息 +

Synchronization behaviors and vibration synchronization transmission of the dual-vibratory-rotor system under superresonant conditions

CHEN Bang1, XIA Xiaoou1, WANG Xiaobo2

Author information +

文章历史 +

摘要

针对安装于不同耦合机体上转子的同步问题，提出了简化的双振动转子系统物理模型。利用平均积分法以及Lyapunov稳定性原理讨论了系统的耦合机理，分析了转子的同步条件与稳定性以及实现振动同步传动的条件。以系统耦合最大振动力矩为切入点，论述了系统耦合弹簧刚度对系统同步性能的影响。引入系统特征频率的概念，阐明了系统产生强耦合的原理。研究表明，当耦合频率在特征频率附近时，系统的振动力矩大，耦合作用强。当双转子耦合作用较小，可通过调节耦合弹簧的大小，增强耦合性能实现自同步，这对设计高稳定性以及高容差度的振动系统具有显著的参考意义。最后，分别仿真系统在特定参数条件下的振动情况，验证了理论分析结果。

Abstract

In order to reveal the synchronization characteristics of the system with two rotors mounted on two coupled bodies, a simplified physical model of the dual-vibratory-rotor system was proposed.The coupling mechanism between two rotors was analyzed by the integral method and the Lyapunov principle.The synchronization condition, stability of the system, and vibration synchronization transmission condition were summarized.Taking the maximum vibration torque as the breakthrough point, the influence of the coupling spring stiffness on the synchronous performance was investigated.By introducing the concept of system characteristic frequency, the strong coupling mechanism of the system was expounded.Theoretical research shows that as the coupling frequency is close to the coupling characteristic frequency, the vibration torque is large and coupling performance can be strong.When coupling effects between rotors are weak, self-synchronization can be obtained by adjusting the coupling spring.Synchronization characteristics of the system can be the theoretical basis for designing high-stability and high-tolerance vibration systems.Vibrations of the dual-vibratory-rotor system with different parameters were simulated respectively, and the results are in good agreement with the theoretical analysis.

导出引用

陈帮1，夏晓鸥1，王晓波2. 超共振振动转子系统振动同步及同步传动[J]. 振动与冲击, 2019, 38(12): 44-52

CHEN Bang1, XIA Xiaoou1, WANG Xiaobo2. Synchronization behaviors and vibration synchronization transmission of the dual-vibratory-rotor system under superresonant conditions[J]. Journal of Vibration and Shock, 2019, 38(12): 44-52

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