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Dynamic stability of functionally graded cantilever cylindrical shells under distributed axial follower forces

Torki, M. E ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jsv.2013.09.005
  3. Abstract:
  4. In this paper, flutter of functionally graded material (FGM) cylindrical shells under distributed axial follower forces is addressed. The first-order shear deformation theory is used to model the shell, and the material properties are assumed to be graded in the thickness direction according to a power law distribution using the properties of two base material phases. The solution is obtained by using the extended Galerkin's method, which accounts for the natural boundary conditions that are not satisfied by the assumed displacement functions. The effect of changing the concentrated (Beck's) follower force into the uniform (Leipholz's) and linear (Hauger's) distributed follower loads on the critical circumferential mode number and the minimum flutter load is investigated. As expected, the flutter load increases as the follower force changes from the so-called Beck's load into the so-called Leipholz's and Hauger's loadings. The increased flutter load was calculated for homogeneous shell with different mechanical properties, and it was found that the difference in elasticity moduli bears the most significant effect on the flutter load increase in short, thick shells. Also, for an FGM shell, the increase in the flutter load was calculated directly, and it was found that it can be derived from the simple power law when the corresponding increase for the two base phases are known
  5. Keywords:
  6. Assumed displacements ; Circumferential modes ; Extended Galerkin's methods ; First-order shear deformation theory ; Functionally graded material (FGM) ; Natural boundary condition ; Power law distribution ; Thickness direction ; Cylinders (shapes) ; Flutter (aerodynamics) ; Galerkin methods ; Mechanical properties ; Shells (structures) ; Loads (forces)
  7. Source: Journal of Sound and Vibration ; Vol. 333, Issue. 3 , 3 February , 2014 , pp. 801-817 ; ISSN: 0022460X
  8. URL: http://www.sciencedirect.com/science/article/pii/S0022460X13007396