This paper makes use of high-order finite beam elements to perform stability evaluations and transient analyses of asymmetric rotors on anisotropic supports. Periodically time-varying motion equations are derived in the co-rotating reference frame, and they include all effects due to the rotational speed and angular acceleration. The periodic system stability is evaluated through the analysis of the monodromy matrix obtained by integrating the motion equations with Newmark’s scheme. Computational efficiency is improved by exploiting the modal coordinate transformation method for reducing the number of equations to be integrated. The methodology is validated by using three-dimensional finite element solutions related to simple bearing-rotor configurations. Moreover, the angular acceleration effect on the response of a realistic gas turbine supported by anisotropic bearings with speed-dependent properties is investigated.

本文利用高阶有限元单元对各向异性支座上的非对称转子进行稳定性评估和瞬态分析。在同向旋转参考系中定期导出时变运动方程，其中包括由于转速和角加速度引起的所有影响。通过将运动方程式与Newmark方案整合而获得的单峰矩阵的分析来评估周期系统的稳定性。通过使用模态坐标变换方法来减少要积分的方程数，可以提高计算效率。该方法通过使用与简单轴承-转子配置有关的三维有限元解决方案进行了验证。而且，