In this study, the dynamics and stability of a flexible rotor containing liquid in a constant thermal environment are investigated. According to thermoelastic theory, the thermal axial force exerted on the rotor is calculated by using the analytical method. A spinning Rayleigh beam is used as a simplified model of the rotor. Applying the Hamilton principle, the governing equation of motion for the flexible liquid-filled rotor system is derived. Using the obtained model, the stability prediction model and the critical spinning speed for the rotor system are formulated. To demonstrate the validity of the developed model, the present analysis is compared with the results reported in the previous study, and good agreement is observed from the comparison results. Finally, numerical results based on the obtained model are performed for a better understanding of the parameters including filling parameters, mode number, rotatory inertia and thermal effect on the stability, and critical spinning speed of the rotor system.

在这项研究中，研究了在恒定热环境中含有液体的柔性转子的动力学和稳定性。根据热弹性理论，采用解析法计算施加在转子上的热轴向力。旋转瑞利光束用作转子的简化模型。应用哈密顿原理，推导出柔性充液转子系统的运动控制方程。利用得到的模型，建立了转子系统的稳定性预测模型和临界转速。为了证明所开发模型的有效性，将本分析与先前研究中报告的结果进行了比较，并且从比较结果中观察到了良好的一致性。最后，