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当支承的组合刚性沿圆周不均匀时,可将其刚性分解到两个互相垂直的主平面中,在主平面中具有最大和最小刚性。同时,把转子振动时的受力和位移分解到主平面中,用八阶矩阵分别建立轴、支承、盘的传递矩阵。然后根据具体的转子布局方案可导出临界转速和振幅计算方程。研究表明,非均匀支承转子与均匀支承转子相比,频率谱有质量差别,前者可能出现的临界转速数增加一倍,在刚性小的方向首先发生振动,转子振动的轨迹为椭圆。
When the combined stiffness of the support is uneven along the circumference, it can be rigidly disassembled into two mutually perpendicular main planes with maximum and minimum rigidity in the main plane. At the same time, the force and displacement of the rotor are decomposed into the main plane when the rotor is vibrating, and the transmission matrix of the shaft, the bearing and the disk is respectively established by the octave matrix. Then according to the specific rotor layout scheme can be derived critical speed and amplitude calculation equation. The results show that compared with a uniformly supported rotor, the heterogeneously supported rotor has different mass spectra. The former may double the critical speed, and then vibrate first in the direction of small rigidity. The rotor vibration trajectory is elliptical.