东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2012, Vol. 33 ›› Issue (12): 1754-1757.DOI: -

• 论著 • 上一篇    下一篇

共振振动系统中两激振器的自同步

赵春雨;王立;任杰;闻邦椿;   

  1. 东北大学机械工程与自动化学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(51075063)

Self-synchronization of two identical exciters in a resonant vibrating system

Zhao, Chun-Yu (1); Wang, Li (1); Ren, Jie (1); Wen, Bang-Chun (1)   

  1. (1) School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Zhao, C.-Y.
  • About author:-
  • Supported by:
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摘要： 提出了一种新型的双机驱动共振式振动机结构.振动体由支撑刚体与物料箱刚体组成,物料箱有4个自由度,支撑刚体仅存在共振方向一个自由度.物料箱通过软弹簧安装在与共振方向垂直的平面内.除了在共振方向与支撑刚体一起运动外,物料箱还在此平面内有两个平动自由度和一个转动自由度,且为超共振工作状态.利用拉格朗日方程建立了系统运动方程,推导出实现同步条件及同步运动的稳定性条件.通过数值计算分析了同步能力系数与系统结构参数的关系.结果表明:两偏心转子安装距离越小,共振激励角越小,系统同步能力越强;而两个刚体质量比值对同步能力影响较小.

关键词: 振动系统, 自同步, 稳定性, 共振, 相位差

Abstract: A new structure of resonant vibrating machinery with dual-motor drives is proposed. The vibrating body consists of a supporting rigid frame and a material box. The material box exhibits four degrees of freedom and the rigid frame exhibits only one degree of freedom in the resonant direction. The material box is installed on a plane perpendicular to the resonant direction by soft springs. The material box not only moves together with the rigid frame, but also exhibits two translational degrees and one rotational degree of freedom and operates at the super-resonant state. The vibration amplitude increases with increasing amount of material. Motion equations for the vibrating system are established by using the Lagrange's equation. The conditions of synchronization and stability are deduced. The relation between the coefficient of synchronization ability and the structural parameters of the system is also studied by numerical computation. The results demonstrate that the smaller the distance between the two unbalanced rotors and the smaller the resonant exciting angle, the greater the coefficient of synchronization ability is. The ratio of the mass of the material box to that of the vibrating system affects little on the coefficient of synchronization.

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