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Buckling Analysis of FG and Multilayered Cylindrical Shells Based on Third-Order Shear Deformation Theory

Azizi, Mohsen | 2021

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 55569 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Fallah Ragabzadeh, Famida; Zohoor, Hassan
  7. Abstract:
  8. In this study, based on Donnel’s shell theory and the theory of third-order shear deformation, and taking into consideration von Karman non-linearity terms, the analysis of buckling of functionally graded (FG) and multi-layered cylindrical shell with transversely isotropic layers, subjected to different loadings, was done. Along this line, first using the principle of minimum total potential energy, and based on the Donnel’s shell theory and the theory of third-order shear deformation, five couple equilibrium equations for cylindrical shell were produced. Next these five coupled equilibrium equations were reduced to three uncoupled equilibrium equation which are, in terms of transverse deflection, and a force function and a new potential function. Then, using adjacent equilibrium method, and three already produced uncoupled equilibrium equations, have a decoupled stability equation which will result in a tenth-order linear differential equation in term of transverse deflection. With solving this stability equation which has been produced by a completely analytical method, subjected to various loading, the critical load of cylindrical shell will be produced. For solving stability equation, first will make stability equation, dimensionless, and then taking into consideration, the boundary conditions, and by employing close form solution, we solve stability equation. For solving the stability relation, we can take into consideration a type or combined types of, mechanical loading or thermo-mechanical loading. In this study for the first time, we will have an analytical relation for stability equation of FG and multi-layered cylindrical shell with transversely isotropic layers, using Donnel’s shell theory and the third-order shear deformation theory. Finally, we study the relations which have been produced for buckling FG and multi-layered cylindrical shells. In this section, first the numerical produced results will be verified with existing results in literature, and then the effect of changes of some of the parameters of cylindrical shell in buckling has been evaluated. In numerical results, the difference between classical theory and first-order shear deformation theory and third-order shear deformation theory, in amounts of critical load for FG and multi-layered cylindrical shell with transversely isotropic layers will be observed.
  9. Keywords:
  10. Third Order Shear Deformation Beam Theory ; Circular Sandwich Cylindrical Shells ; Adjacent Equilibrium Method ; Donnel's Shell Theory ; Combined Mechanical-Thermal Loading ; Shells Buckling ; Von Karman Theory

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