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Dynamic and Static Instability of Conical Shells Made of FGM and Conveying Hot Flow

Ekhtiari, Mohsen | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41427 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Haddadpour, Hassan; Dehghani Firoozabadi, Rouhollah
  7. Abstract:
  8. Static and dynamic instability of truncated conical shells made up of functionally graded materials (FGMs) conveying hot fluid is presented in this paper. Temperature-dependent material properties are considered and Material properties of the truncated FGM conical shells are functionally graded in the thickness direction according to a volume fraction power-law distribution. Governing equation of FGM conical shells is written based on First-Order Shear Deformation Theory (FSDT). The treatment is developed within the theory of linear elasticity, when materials are assumed to be isotropic and inhomogeneous through the thickness direction. The two-constituent functionally graded shell consists of ceramic and metal. These constituents are graded through the thickness, from one surface of the shell to the other. Different power-law distributions are considered for the ceramic volume fraction. Temperature on inner and outer surface of conical shell is specified. The one-dimensional heat conduction equation is used across the thickness of the conical shell to determine the temperature distribution and thereby the material properties. The velocity potential is used for modeling the incompressible flowing fluid. Bernoulli’s equation has been applied for determining the effective dynamic pressure, and impermeability condition has been applied to the shell–fluid interface to enable coupling between shell and fluid. The exact solution for velocity potential satisfying impermeability condition and thereby an explicit expression for fluid pressure is obtained. Thereafter the instability boundaries of shell–fluid system are determined by using a modal expansion method and applying the Galerkin method. The results obtained by applying eigen–analysis method, investigates the effects of material composition, thermal loading, static axial loading, flow velocity, medium stiffness and various boundary conditions and geometries, on vibration and instability characteristics of invacuo and fully-filled conical shells when subjected to flowing fluid
  9. Keywords:
  10. Vibration ; Fluid-Solid Interaction ; Functionally Graded Materials (FGM) ; Conical Shell

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