This paper deals with the flexural instability of flexible spinning cylinders partially filled with viscous fluid. Using the linearized Navier–Stokes equations for the incompressible flow, a two-dimensional model is developed for fluid motion. The resultant force exerted on the flexible cylinder wall as the result of the fluid motion is calculated as a function of lateral acceleration of the cylinder axis in the Laplace domain. Applying the Hamilton principle, the governing equations of flexural motion of the rotary flexible cylinder mounted on general viscoelastic supports are derived. Then combining the equations describing the fluid force on the flexible cylinder with the structural dynamics equations, the coupled-field governing equations of the system are obtained. A numerical technique is devised with the obtained model for stability analysis of the flexible cylinder and some examples are presented. The effect of material viscoelasticity and structural damping on the stability margins of the flexible cylinder is examined, and some parameter studies on the governing parameters of the critical spinning speed are carried out.

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January 2010

Research Papers

# The Flexural Instability of Spinning Flexible Cylinder Partially Filled With Viscous Liquid

R. D. Firouz-Abadi
,

R. D. Firouz-Abadi

Department of Aerospace Engineering,

firouzabadi@sharif.edu
Sharif University of Technology

, Tehran 11155-8639, Iran
Search for other works by this author on:

H. Haddadpour

H. Haddadpour

Department of Aerospace Engineering,

haddadpour@sharif.edu
Sharif University of Technology

, Tehran 11155-8639, Iran
Search for other works by this author on:

R. D. Firouz-Abadi

Department of Aerospace Engineering,

Sharif University of Technology

, Tehran 11155-8639, Iranfirouzabadi@sharif.edu

H. Haddadpour

Department of Aerospace Engineering,

Sharif University of Technology

, Tehran 11155-8639, Iranhaddadpour@sharif.edu

*J. Appl. Mech*. Jan 2010, 77(1): 011001 (9 pages)

**Published Online:**September 23, 2009

Article history

Received:

August 30, 2008

Revised:

June 6, 2009

Published:

September 23, 2009

Citation

Firouz-Abadi, R. D., and Haddadpour, H. (September 23, 2009). "The Flexural Instability of Spinning Flexible Cylinder Partially Filled With Viscous Liquid." ASME. *J. Appl. Mech*. January 2010; 77(1): 011001. https://doi.org/10.1115/1.3172143

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