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Dynamic analysis and numerical experiments for balancing of the continuous single-disc and single-span rotor-bearing system

机译：连续单盘单跨转子轴承系统平衡的动力学分析和数值实验

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摘要

Identification of rotor unbalance is critical for normal operation of rotating machinery. The single-disc and single-span rotor, as the most fundamental rotor-bearing system, has attracted research attention over a long time. In this paper, the continuous single-disc and single-span rotor is modeled as a homogeneous and elastic Euler-Bernoulli beam, and the forces applied by bearings and disc on the shaft are considered as point forces. A fourth-order non-homogeneous partial differential equation set with homogeneous boundary condition is solved for analytical solution, which expresses the unbalance response as a function of position, rotor unbalance and the stiffness and damping coefficients of bearings. Based on this analytical method, a novel Measurement Point Vector Method (MPVM) is proposed to identify rotor unbalance while operating. Only a measured unbalance response registered for four selected cross-sections of the rotor-shaft under steady-state operating conditions is needed when using the method. Numerical simulation shows that the detection error of the proposed method is very small when measurement error is negligible. The proposed method provides an efficient way for rotor balancing without test runs and external excitations.
机译：转子不平衡的识别对于旋转机械的正常运行至关重要。作为最基本的转子轴承系统，单盘单跨转子已经引起了长期的研究关注。本文将连续的单盘单跨转子建模为均匀且弹性的Euler-Bernoulli梁，并将轴承和圆盘施加在轴上的力视为点力。求解了具有齐次边界条件的四阶非齐次偏微分方程组作为解析解，它表示不平衡响应与位置，转子不平衡以及轴承的刚度和阻尼系数的关系。基于这种分析方法，提出了一种新颖的测量点矢量方法（MPVM）来识别转子在运行时的不平衡状态。使用该方法时，仅需要在稳态运行条件下针对转子轴的四个选定横截面记录的测量失衡响应。数值仿真表明，当测量误差可忽略时，该方法的检测误差很小。所提出的方法提供了一种有效的转子平衡方法，而无需进行试验和外部激励。

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  • 来源
    《Mechanical systems and signal processing》 |2017年第ptaa期|151-176|共26页
  • 作者

    Aiming Wang; Xiaohan Cheng; Guoying Meng; Yun Xia; Lei Wo; Ziyi Wang;

  • 作者单位

    School of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), D11 XueYuan Road, HaiDian, Beijing 100083, China,School of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), Room 313 of Mechanical Electronic Building, D11 XueYuan Road, HaiDian, Beijing, China;

    School of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), D11 XueYuan Road, HaiDian, Beijing 100083, China;

    School of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), D11 XueYuan Road, HaiDian, Beijing 100083, China;

    School of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), D11 XueYuan Road, HaiDian, Beijing 100083, China;

    Mining Products Safety Approval and Certification Center, Beijing 100013, China;

    School of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), D11 XueYuan Road, HaiDian, Beijing 100083, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Identification of rotor unbalance; Single-disc and single-span rotor-bearing system; Euler-Bernoulli beam; Analytical method; Measurement Point Vector Method;

    机译：识别转子不平衡;单盘单跨转子轴承系统;欧拉-伯努利光束分析方法;测量点向量法;

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