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Free Vibration and Buckling Analysis of a Laminated Composite Cylinder Made of Functionally Graded Material with Lengthwise Properties Variation Including Thermal Effects

Hashemi, Mehdi | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41165 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Kargarnovin, Mohammad Hossein
  7. Abstract:
  8. In recent decades, employing fiber-reinforced composite has growing field in various industries due to distinct features like high specific stiffness and strength. Studies in case of this type of composite have not been stopped and nowadays, widespread researches are conducted over optimization of them. As a result, the effect of distributing fiber in this composite by taking the concept of functionally graded materials, on vibrations and buckling behaviors including natural frequencies and minimum axial bulking load under different boundary conditions for a multi-layered cylindrical shell in which volume fraction of fiber along its length varies according to power-law model are investigated in this project. For this purpose, governing differential equations based on first shear deformation theory are derived and by using weak from formulation and Lagrangian shape functions for spatial approximation, the finite element model of them is developed for an eight-node cylindrical shell element. After verifying results of the current model through various numerical examples, the effects of power indices and the first volume fraction of fiber on natural frequencies and minimum axial mechanical and thermal loads under different boundary condition are studied. results show that depending on boundary conditions, this functionally graded like composite structure results in better or weaker impact on increasing the first natural frequencies and minimum bulking load, although the average volume fraction and layout of fiber in each layered are the same. As consequences, the concept of distributing fiber on longitudinal direction of this multi-layered composite cylinder can have appropriate or inappropriate results, depending on boundary conditions; in comparison with case that volume fraction of fiber is constant throughout the structures
  9. Keywords:
  10. Free Vibration ; Finite Element Method ; Shell Theory ; Fiber Reinforced Composite ; Functionally Graded Materials (FGM) ; Axial Buckling

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