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Analytical modelling and numerical experiment for simultaneous identification of unbalance and rolling-bearing coefficients of the continuous single-disc and single-span rotor-bearing system with Rayleigh beam model

机译:用瑞利梁模型同时识别连续单盘单跨转子轴承系统的不平衡系数和滚动轴承系数的分析模型和数值实验

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摘要

This study proposes an algorithm for the simultaneous identification of residual unbalance and bearing dynamic coefficients of a single-disc and single-span rotor based on the unbalance response. The rotor is modelled as a homogeneous and continuous Rayleigh beam. A fourth-order non-homogeneous partial differential equation set with a homogeneous boundary condition is solved to obtain the analytical solution, which expresses the unbalance response as a function of position, rotor unbalance, and bearing stiffness and damping coefficients. Accordingly, the inverse problem is studied. A novel algorithm that can be applied to both a rolling-bearing rotor and an oil journal bearing rotor is proposed to identify the rotor unbalance during operation. Another novel algorithm is developed to identify the bearing stiffness and damping coefficients for a rolling-bearing rotor. Only four measured unbalance responses are required in the two above-mentioned algorithms. Thus, a simultaneous identification of the rotor unbalance and the roll-bearing dynamic coefficients can be achieved. Furthermore, only a measured response registered for the disc, the two bearings and any other selected cross-section of the rotor shaft under steady-state operating conditions is required. Numerical simulation shows that the proposed identification algorithms have excellent detection capabilities. In summary, the proposed algorithms provide an efficient means for rotor parameter identification without test runs or external excitations. (C) 2018 Elsevier Ltd. All rights reserved.
机译:该研究提出了一种基于不平衡响应同时识别单盘单跨转子剩余不平衡和轴承动态系数的算法。转子建模为均匀连续的瑞利光束。求解具有齐次边界条件的四阶非齐次偏微分方程组以获得解析解,该解析解表示不平衡响应与位置,转子不平衡以及轴承刚度和阻尼系数的关系。因此,研究了反问题。提出了一种既可应用于滚动轴承转子又可用于油轴承轴承转子的新颖算法,以识别运行过程中的转子不平衡。开发了另一种新颖的算法来识别滚动轴承转子的轴承刚度和阻尼系数。在上述两个算法中仅需要四个测量的不平衡响应。因此,可以同时识别转子不平衡度和滚动轴承动态系数。此外,在稳态运行条件下,只需要为盘,两个轴承以及转子轴的任何其他选定横截面记录的测量响应即可。数值仿真表明,该算法具有良好的检测能力。总之,所提出的算法为转子参数识别提供了一种有效的手段,而无需进行测试运行或外部激励。 (C)2018 Elsevier Ltd.保留所有权利。

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