Stability analysis of a fractional viscoelastic plate strip in supersonic flow under axial loading

Asgari, M ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1007/s11012-016-0494-z
  3. Publisher: Springer Netherlands , 2017
  4. Abstract:
  5. The stability of a viscoelastic plate strip, subjected to an axial load with the Kelvin–Voigt fractional order constitutive relationship is studied. Based on the classical plate theory, the structural formulation of the plate is obtained by using the Newton’s second law and the aerodynamic force due to the fluid flow is evaluated by piston theory. The Galerkin method is employed to discretize the equation of motion into a set of ordinary differential equations. To determine the stability margin of plate the obtained set of ordinary differential equations are solved using the Laplace transform method. The effects of variation of the governing parameters such as axial force, retardation time, fractional order and boundary conditions on the stability margin of fractional viscoelastic panel are investigated and finally some conclusions are outlined. © 2016, Springer Science+Business Media Dordrecht
  6. Keywords:
  7. Viscoelastic plate strip ; Axial loads ; Boundary conditions ; Differential equations ; Equations of motion ; Flow of fluids ; Galerkin methods ; Laplace transforms ; Ordinary differential equations ; Stability ; Supersonic flow ; Viscoelasticity ; Classical plate theory ; Constitutive relationships ; Equation of motion ; Fractional order ; Governing parameters ; Laplace transform method ; Stability analysis ; Viscoelastic plates ; Plates (structural components)
  8. Source: Meccanica ; Volume 52, Issue 7 , 2017 , Pages 1495-1502 ; 00256455 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s11012-016-0494-z