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Simplified Modelling of Rotor Cracks

机译：转子裂纹的简化建模

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There are a number of approaches reported in the literature for modelling cracks in shafts. Although two and three dimensional finite element models may be used, the most popular approaches are based on beam models. This paper considers a number of different approaches to modelling cracks in shafts of rotating machines. Of particular concern is the modelling of breathing cracks, which open and close due to the self-weight of the rotor, producing a parametric excitation. In the simplest model the shaft stiffness is bilinear, depending on whether the crack is open or closed. More complicated functions that relate the shaft stiffness to angular position have been proposed, and two possibilities will be considered. This paper will demonstrate the influence of the crack model on the response of both a Jeffcott rotor and also a general rotor model, using the harmonic balance approach.
机译：文献中报道了许多用于模拟轴中裂纹的方法。尽管可以使用二维和三维有限元模型，但最流行的方法是基于梁模型。本文考虑了多种不同的方法来模拟旋转机械轴上的裂纹。特别令人关注的是呼吸裂纹的建模，该裂纹由于转子的自重而打开和关闭，从而产生参量激励。在最简单的模型中，轴刚度是双线性的，具体取决于裂纹是打开还是闭合。已经提出了将轴刚度与角位置相关联的更复杂的功能，并且将考虑两种可能性。本文将使用谐波平衡方法论证裂纹模型对Jeffcott转子和普通转子模型响应的影响。

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