受轴向扭矩作用时柔性转子的涡动频率及稳定性分析

STABILITY ANALYSIS AND WHIRL FREQUENCIES OF A FLEXIBLE ROTOR SUBJECTED TO AXIAL TORQUE

本文研究了轴向扭矩对转子-轴承系统的动力效应。考虑了轴向扭矩、集总质量和陀螺效应。导出了轴段单元的传递矩阵,同时还导出了以矩阵形式表示的运动方程。其中由于轴向扭矩的非保守性,刚度矩阵是非对称的。借助于特征值的近似表达式,详细地讨论了特征值的实部与虚部和轴向扭矩间的关系。

This paper investigates the effect of the axial torque on the dynamics of a rotorbearing system. The axial torque, lumped shaft mass, and gyroscopic moments are taken into account. The transfer matrix for the shaft section element is derived, and the equation of motion is formulated in matrix form as well, in which the stiffness matrix is non-symmetric due to the non-conservative nature of the axial torque. With the help of the approximate expression of eigenvalue, the relations between axial torque and the real and imagine part of the eigenvalue are diseussed in detail.