Stability of steady rotation of a rotor partly filled with a viscous floating liquid

Derendyaev, N. V.; Солдатов, И. Н.

doi:10.1134/s1063784211020113

Cited by 2 publications

(1 citation statement)

References 2 publications

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“…[34], Crandall S.H. [35], Derendyaev N. et al [36] and Zili Z. et al [37] are meaningful reviews of these issues.…”

Section: Introductionmentioning

confidence: 99%

The Inertial Disturbances of Fluid Movement in the Chamber of a Liquid Autobalancer

Lozynskyi,

Shihab,

Drach

et al. 2024

Machines

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This article analyses the problem of automatic balancing rotors with a liquid balancer, which is a cylindrical chamber partially filled liquid of a certain density. This problem is related to the problem of the dynamics of bodies with cavities partially filled with liquid. As part of this task, we analyzed disturbances in the relative motion of the fluid in the ABD chamber caused by the Coriolis force inertia. The distortions of the free surface of the liquid were found, resonant phenomena in the flow of the working fluid were investigated, and the physical explanation of the received results given should be taken into account when designing the corresponding ones self-balancing devices. It was established that the axial component of the Coriolis inertial force causes peculiar wave phenomena in the correcting fluid movement. For the given nature of undisturbed motion, the conditions of this phenomenon’s occurrence are determined only by the geometric dimensions of the cylindrical chamber and the thickness of the liquid layer in undisturbed motion, and do not depend on the intensity of rotation of the liquid, nor on its density. It is shown that a decrease in the “ABD chamber height–radius” ratio leads to stabilization of the movement of the system. Experimental verification has been performed; theoretical results on the developed stand for work research rotor system with a vertical axis of rotation.

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“…[34], Crandall S.H. [35], Derendyaev N. et al [36] and Zili Z. et al [37] are meaningful reviews of these issues.…”

Section: Introductionmentioning

confidence: 99%

The Inertial Disturbances of Fluid Movement in the Chamber of a Liquid Autobalancer

Lozynskyi,

Shihab,

Drach

et al. 2024

Machines

View full text Add to dashboard Cite

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Stability analysis of an anisotropic rotor partially filled with viscous incompressible fluid based on Andronov-Hopf bifurcation

Wang

Guo

Jiang³

2021

Physics of Fluids

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Instability of a rotor partially filled with viscous incompressible fluid is a common issue in rotary machines, which leads the amplitude of perturbations to increase exponentially. Currently, different models of an isotropic rotor partially filled with fluid are established to investigate its stability, but the research on the stability of an anisotropic rotor is rarely reported. To explore the instability of an anisotropic rotor partially filled with fluid, a continuous model is established to represent an isotropic rotor system partially filled with fluid and dimensionless hydrodynamic forces are calculated, and then D-decomposition method is introduced to obtain stable and unstable regions of this isotropic rotor. The transitions of different regions are called as Andronov-Hopf bifurcation. Then, a novel predicting model, where the elliptical motion of a rotor partially with fluid is assumed, is established to obtain the same unstable regions, comparing with the results from D-decomposition method. The correctness of this novel predicting method for an isotropic rotor partially filled with fluid is verified by this comparison. The influence of dimensionless damping coefficient on the stability is also analyzed. Last, this novel predicting model is applied to an anisotropic rotor partially filled with fluid, the unstable regions of rotational frequencies are analyzed. The results show that dimensionless damping coefficient and dimensionless stiffness coefficient have significant influences on the stability of a rotor partially filled with fluid, there especially exist two unstable regions for a lower dimensionless damping coefficient. In addition, the asymmetric degrees of an anisotropic rotor have great influences on the unstable low boundary.

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Stability of steady rotation of a rotor partly filled with a viscous floating liquid

Cited by 2 publications

References 2 publications

The Inertial Disturbances of Fluid Movement in the Chamber of a Liquid Autobalancer

The Inertial Disturbances of Fluid Movement in the Chamber of a Liquid Autobalancer

Stability analysis of an anisotropic rotor partially filled with viscous incompressible fluid based on Andronov-Hopf bifurcation

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