An analysis of dynamic stability for a flexible rotor filled with liquid

Proceedings of the Institution of Mechanical Engineers, Part G:

Sun

2019

Self Cite

In this paper, the stability of a flexible rotor partially filled with liquid is investigated. On the basis of the Navier-Stokes equations for the incompressible flow, a two-dimensional analytical model is developed for fluid motion. Applying the perturbation method, the linearized Navier-Stokes and continuity equations of fluid particles are obtained. Using the boundary conditions of fluid motion, the fluid forces exerted on the rotor are calculated. According to the established fluid-structure coupling model of the rotor system, the whirling frequency equation, which is applied to determine the stability of the system, is derived. The analysis results of the system stability are compared with the theoretical ones reported in the previous study. Good agreement is shown between the results of the present analysis and the literature results. The influences of the main parameters on the dynamic stability of the rotor system are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

An investigation on the instability of a flexible liquid-filled rotor

Proceedings of the Institution of Mechanical Engineers, Part G:

Sun

2019

Self Cite

show abstract

“…The problem was addressed in Laplace domain and the system stability was studied by using numerical technique. According to two-dimensional and three-dimensional flow theories, Wang and Yuan (2018, 2019a, 2020) and Wang et al (2020) analyzed the stability of a flexible liquid-filled rotor system theoretically. Then, they proposed the analytical model for the stability prediction of a flexible rotor partially filled with two liquid phases (Wang and Yuan, 2019b).…”

Section: Introductionmentioning

confidence: 99%

Dynamics and stability analysis of a flexible liquid-filled rotor in a constant thermal environment

Yang

Journal of Vibration and Control

2021

Self Cite

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.

show abstract

Whirl characteristics of a flexible liquid-filled rotor under thermal shock

Applied Mathematical Modelling

2020