Finite element modelling, analysis and identification using novel trial misalignment approach in an unbalanced and misaligned flexible rotor system levitated by active magnetic bearings

Prabhat Kumar; Rajiv Tiwari

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Finite element modelling, analysis and identification using novel trial misalignment approach in an unbalanced and misaligned flexible rotor system levitated by active magnetic bearings

机译：有限元建模，分析和识别在无磁轴承悬浮的不平衡和未对准的柔性转子系统中使用新型试验错位方法

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摘要

This paper investigates the finite element modelling, analysis and identification of a fully-levitated flexible rotor with faults using active magnetic bearings (AMBs). For simultaneous estimation of the rotor residual unbalance and AMB residual misalignment (combination of parallel and angular), a novel trial misalignment approach has been proposed. Additionally, the force-displacement and force-current stiffness coefficients of AMBs are identified. This novel work is similar to the idea of trial unbalance in the rotor balancing. An unbalanced flexible shaft with multiple discs levitated by multiple misaligned AMBs has been mathematically modelled utilizing finite element method based on Timoshenko beam theory. To overcome the practical difficulty in measuring responses, the dynamic reduction scheme has been implemented to eliminate the transverse rotational degrees of freedom from the system model, which are further utilized in development of the identification algorithm. To numerically illustrate the reliability and robustness of the proposed algorithm, the algorithm is tested against the measurement noise in responses and rotor modelling errors.

机译：本文研究了具有使用主动磁轴承（AMB）的故障的完全悬浮柔性转子的有限元建模，分析和识别。为了同时估计转子残余不平衡和AMB残差未对准（并联和角度的组合），提出了一种新的试验错位方法。另外，鉴定了AMB的力 - 位移和力 - 电流刚度系数。这部新颖的工作类似于转子平衡中试用不平衡的想法。一种不平衡的柔性轴，具有多个未对准的AMB悬浮的多个光盘，已经利用了基于Timoshenko光束理论的有限元方法来进行数学建模。为了克服测量响应中的实际困难，已经实施了动态降低方案以消除来自系统模型的横向旋转自由度，其进一步利用在识别算法的开发中。为了在数值上示出了所提出的算法的可靠性和鲁棒性，该算法在响应和转子建模误差中的测量噪声测试。

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来源
《Mechanical systems and signal processing》 |2021年第5期|107454.1-107454.22|共22页
作者
Prabhat Kumar; Rajiv Tiwari;
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作者单位

Department of Mechanical Engineering Indian Institute of Technology Guwahati Guwahati Assam 781039 India;

Department of Mechanical Engineering Indian Institute of Technology Guwahati Guwahati Assam 781039 India;

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原文格式 PDF
正文语种 eng
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关键词
Active magnetic bearing; Identification; Residual misalignment; Trial misalignment; Unbalance; Finite element method;

机译：主动磁轴承;鉴别;残差未对准;试验错位;不平衡;有限元方法;

Finite element modelling, analysis and identification using novel trial misalignment approach in an unbalanced and misaligned flexible rotor system levitated by active magnetic bearings

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