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Dynamic analysis of rotor-bearing systems using three-dimensional solid finite elements.

机译：使用三维固体有限元的转子轴承系统的动力学分析。

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摘要

Using Hamilton's principle, the finite element equations for both non rotating and rotating shafts are given, so that not only bending but also torsional, axial and other possible modes in a 3-D domain can be analysed simultaneously through the corresponding developed codes. The computed frequencies of bending-like 3-D modes are in very good agreement with those measured. Use of a rotating frame of reference gives a clear view of the shaft whirl as a result of bending vibration. Forward and backward whirls in this frame are found to be able to exist simultaneously along the shaft, which is reported for the first time. Resonant whirl frequencies or natural frequencies of rotating shafts can be determined with respect to the rotating or fixed frame. Critical speeds and unbalance response can also be consistently evaluated using the 3-D modelling. For this chain-like structure, reduction procedures such as the developed transfer matrix method based on finite element models and dynamic reduction method, can be implemented without any loss of accuracy. A distributed fluid/shaft interaction model has been given for rotor-bearing analysis in accordance with the 3-D shaft model. Distributed damping effects on the peak forced response frequency have also been discussed. Good agreement with some results from the ABAQUS software, testing and analytical solutions of uniform beams shows the validity of the written codes which are used throughout the research.
机译：利用汉密尔顿原理，给出了非旋转轴和旋转轴的有限元方程，因此不仅可以通过相应的开发代码同时分析3-D域中的弯曲，而且还可以分析扭转，轴向和其他可能的模式。类似弯曲的3-D模式的计算频率与所测量的频率非常吻合。使用旋转基准框架可以清楚地看到由于弯曲振动而引起的轴旋转。发现该框架中的前向和后向旋转能够沿着轴同时存在，这是首次报道。可以相对于旋转或固定框架来确定旋转轴的共振涡动频率或固有频率。临界速度和不平衡响应也可以使用3-D建模进行一致评估。对于这种链状结构，可以执行诸如基于有限元模型开发的传递矩阵方法和动态归约方法的归约程序，而不会降低任何精度。根据3-D轴模型，已经给出了用于转子轴承分析的分布式流体/轴相互作用模型。还讨论了对峰值强制响应频率的分布式阻尼效应。与ABAQUS软件的一些结果，均匀光束的测试和解析解决方案取得了很好的一致性，这证明了整个研究中使用的书面代码的有效性。

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  • 作者

    Yu, John Junyao.;

  • 作者单位

    University of Alberta (Canada).;

  • 授予单位 University of Alberta (Canada).;
  • 学科 Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 1997
  • 页码 217 p.
  • 总页数 217
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;
  • 关键词

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