Finite Element Modelling of Rotors, Without Considering the Shear Effects

T. Ouattara, M. Traoré, C. Berthé
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Abstract

The proposed rotor model is based on the finite elements of a Timoshenko beam, whose support is rigid and fixed. It takes into account the geometric asymmetry of the discs and/or the shaft, while neglecting the shear effect. The equations of motion obtained include time-varying parametric terms that can lead to lateral dynamic instability. The influence of the combined rotational and translational movements of the support is analyzed by the Campbell diagram and the rotor stability map. Critical speeds according to modes have been identified.
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不考虑剪切效应的转子有限元建模
所提出的转子模型是基于铁木申科梁的有限元模型,铁木申科梁的支承是刚性的和固定的。它考虑了圆盘和/或轴的几何不对称性,而忽略了剪切效应。得到的运动方程包含时变参数项,这些参数项可能导致横向动力失稳。利用坎贝尔图和转子稳定性图分析了支承的旋转和平移联合运动的影响。根据模式确定了临界速度。
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