Research Papers: Fundamental Issues and Canonical Flows

Dynamic Stability Analysis of a Flexible Rotor Filled With Liquid Based on Three-Dimensional Flow

[+] Author and Article Information
Guangding Wang

School of Mechanical
Engineering and Automation,
Northeastern University,
Shenyang 110819, China

Huiqun Yuan

Institute of Applied Mechanics,
College of Science,
Northeastern University,
Shenyang 110004, China

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 4, 2018; final manuscript received August 29, 2018; published online November 8, 2018. Assoc. Editor: Kwang-Yong Kim.

J. Fluids Eng 141(5), 051202 (Nov 08, 2018) (9 pages) Paper No: FE-18-1323; doi: 10.1115/1.4041392 History: Received May 04, 2018; Revised August 29, 2018

This paper deals with the dynamic stability of a flexible liquid-filled rotor. On the basis of three-dimensional flow, the fluid perturbation motion is analyzed and the fluid–structure interaction equation is established, combining with continuity equation, the expression of fluid force exerted on rotor is derived in terms of Fourier series expansion. Considering the complex nonlinear relationship between fluid dynamic pressure and the rotor deformation function, they are expanded in terms of the eigenfunction of a dry rotor. The whirling frequency equation of a flexible rotor partially filled with liquid is obtained based on the rotor static equilibrium equation. Finally, the numerical technique is used to analyze the dynamic stability of the rotor system, and the influences of system parameters on unstable region are discussed.

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Grahic Jump Location
Fig. 1

Flexible rotor filled with liquid: (a) rotor structure and (b) rotor whirling

Grahic Jump Location
Fig. 2

F−S curves: (a) γ=0.2 and (b) γ=0.04

Grahic Jump Location
Fig. 3

The influence of fluid-fill ratio γ on unstable region: (a) γ>0.1 and (b) γ≤0.1

Grahic Jump Location
Fig. 4

Variation of unstable region with fluid-fill ratio γ

Grahic Jump Location
Fig. 5

The influences of mass ratio μ on unstable region for: (a) γ=0.2 and (b) γ=0.04

Grahic Jump Location
Fig. 6

Variation of unstable region with mass ratio μ

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Fig. 7

Variation of unstable region with parameter



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