Les effets des déformations en cisaillement et de l'inertie de rotation sur le comportement dynamique des coques nonuniformes, anisotropes et contenant un liquide en écoulement

The static and dynamic analysis of thin plates and shells, empty or fluid-filled, has been the focus of many researches. Most of these theories were originally developed for linear analysis of the plates or the closed shells, empty or fluid-filled, based on the first approximations of Love-Kirchhoff theory. No work has been made to analyse the anisotropic laminated open cylindrical shells filled with or subjected to a flowing fluid by taking into account the effects of shear deformations and rotatory inertia as well as initial curvature effects.

Therefore, the first purpose of this study is to develop the general equations, equilibrium equations, kinematic and constitutive relations, of multi-layered laminated anisotropic shells by considering the effects of the above mentioned parameters. Afterwards, the developed equations are applied to different geometries as revolution, cylindrical, spherical and conical shells as well as rectangular and circular plates. Finally, free vibrations of anisotropic open cylindrical shells filled (partially or completely) with or subjected to an internal or external incompressible, inviscid fluid are analysed by using a combination of hybrid finite element analysis, the refined shear deformation theory of shells and theory of fluids.

In the second part of this thesis, the developed theory is applied to static and dynamic analysis of thin laminated anisotropic cylindrical shells. This theory yields five coupled linear second-order differential equations with constant coefficients. They are solved in conjunction with five boundary conditions at each edge by a combination of hybrid finite element analysis and shear deformation theory of shells.

The third part of this research deals with the free vibration of anisotropic laminated composite open or closed cylindrical shells filled (partially or completely) or submerged in and subjected simultaneously to an internal and external incompressible, inviscid fluid. In this approach, displacements and rotations of the shell and the dynamic pressure of the fluid are modelled by hybrid finite element method. The velocity potential, Bernoulli's equation and linear impermeability condition, applied to fluid-structure interface, have been used to describe an explicit expression for fluid pressure which yield three forces (inertia, centrifugal and Coriolis) of the moving fluid. (Abstract shortened by UMI.)