一种含特殊限位器的柔性连接转子碰摩响应研究

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摘要以一种柔性连接两节式转子-限位器系统为研究对象，利用拉格朗日方法建立考虑陀螺效应的转子系统动力学方程，采用Hooke接触模型及Coulomb碰撞模型，描述变刚度限位器与转子的相互作用，并利用数值方法求解碰摩响应，分析了不同碰摩刚度与摩擦系数下的碰摩行为，引入碰摩稳定域概念，并计算了碰摩稳定域曲线，开展了不同激励强度下的碰摩试验，与理论分析情况进行对比。研究结果表明：转子碰摩响应存在有限次碰摩后恢复稳定、拟周期运动、同步全周碰摩三种典型碰摩行为；摩擦力是导致转子失稳的关键因素，限位器碰摩刚度存在最优区间；限位器碰摩模型可为工程设计提供参考。

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关键词 ：限位器, 转子系统, 碰摩

Abstract：A flexible connected two segment rotor-limiter system has been taken as the research object, the Lagrange method is used to establish the dynamic equation of the rotor system considering the gyro effect. The Hooke contact model and Coulomb collision model are used to describe the interaction between the variable stiffness limiter and the rotor, and numerical methods are used to solve the rub-impact response. The rub-impact behavior under different collision stiffness and friction coefficient is analyzed, and the concept of the rub-impact stability region is introduced and calculated. Rub-impact experiments under different excitation intensities are carried out, which are compared with results of theoretical analysis. The research shows that there are three typical rub-impact behaviors in the rotor rub-impact response: infinite rub-impact, restoring stability after finite rub-impact, and synchronous full annular rub-impact. Friction is the key factor leading to rotor instability, and there is an optimal range of collision stiffness of the limiter. The friction model of the limiter could provide a reference for engineering design.

Key words： limiter rotor system rub-impact

收稿日期: 2023-03-22 出版日期: 2024-02-28

引用本文:

李诗图1，白宇杰1,2，杨璇1,2，吴庭苇1,2. 一种含特殊限位器的柔性连接转子碰摩响应研究[J]. 振动与冲击, 2024, 43(4): 158-165.
LI Shitu1,BAI Yujie1,2,YANG Xuan1,2,WU Tingwei1,2. Research on rub-impact response of a flexible connected rotor with a special limiter. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(4): 158-165.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I4/158

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