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Flexural instability of viscoelastic spinning cylinders partially filled with liquid

Dehghani Firouz Abadi, R ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1142/S0219455409002904
  3. Publisher: 2009
  4. Abstract:
  5. This paper deals with the determination of free vibration characteristics and instability conditions of flexible spinning cylinders partially filled with fluid. Using the linearized Navier-Stokes equations for the incompressible, inviscid flow, a 2D model is developed for fluid motion at each section of the cylinder. The forces exerted on the cylinder wall as a result of the fluid motion are calculated as functions of lateral acceleration of the cylinder axis in the Laplace domain. Applying the Hamilton principle, the governing equations of flexural motion of the cylinder are derived and then combined with the equations describing the fluid forces to obtain the coupled field equations of the structural motion and the liquid sloshing dynamics. Using the obtained model, the free vibration and the stability conditions of the cylinder as well as the effect of material viscoelasticity on the stability boundaries are examined. The results of the stability analysis are presented for a number of examples, and some conclusions are outlined. © 2009 World Scientific Publishing Company
  6. Keywords:
  7. Fluid-structure interaction ; 2-d models ; Coupled field equations ; Cylinder axis ; Cylinder walls ; Flexural motions ; Fluid forces ; Fluid motions ; Free vibration characteristics ; Free vibrations ; Governing equations ; Hamilton principles ; Instability ; Instability conditions ; Inviscid flows ; Laplace domains ; Lateral accelerations ; Linearized navier-stokes equations ; Partially filled cylinder ; Spinning frequency ; Stability analysis ; Stability boundaries ; Stability conditions ; Structural motions ; Cylinders (shapes) ; Elasticity ; Fluid dynamics ; Fluid structure interaction ; Fluids ; Liquid sloshing ; Stability ; Viscoelasticity ; Viscosity ; Viscous flow ; Navier Stokes equations
  8. Source: International Journal of Structural Stability and Dynamics ; Volume 9, Issue 1 , 2009 , Pages 45-60 ; 02194554 (ISSN)
  9. URL: https://www.worldscientific.com/doi/abs/10.1142/S0219455409002904