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The Flexural instability of spinning flexible cylinder partially filled with viscous liquid

Firouz Abadi, R. D ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1115/1.3172143
  3. Publisher: 2010
  4. Abstract:
  5. 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
  6. Keywords:
  7. Cylinder axis ; Flexible cylinders ; Flexural motion ; Fluid forces ; Fluid motions ; Governing equations ; Governing parameters ; Hamilton principle ; Laplace domains ; Lateral acceleration ; Linearized navier-stokes equations ; Numerical techniques ; Parameter studies ; Resultant forces ; Spinning speed ; Stability analysis ; Stability margins ; Structural damping ; Two dimensional model ; Viscoelastic supports ; Viscous fluids ; Viscous liquids ; Convergence of numerical methods ; Cylinders (shapes) ; Fluids ; Incompressible flow ; System stability ; Viscous flow ; Navier Stokes equations ; Structural dynamics
  8. Source: Journal of Applied Mechanics, Transactions ASME ; Volume 77, Issue 1 , September , 2010 , Pages 1-9 ; 00218936 (ISSN)
  9. URL: http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=1420478