Shear deformation in dynamic analysis of anisotropic laminated open cylindrical shells filled with or subjected to a flowing fluid Original Research Article

The free vibration of anisotropic laminated composite, as well as isotropic open or closed, cylindrical shells submerged in and subjected simultaneously to an internal and external incompressible, inviscid fluid are discussed on the basis of a refined shell theory in which transverse shear deformation and rotary inertia effects are taken into account. The shell may be uniform or non-uniform in the circumferential direction. In this approach, displacements and rotations of the shell and the dynamic pressure of the fluid are modeled by a hybrid finite-element method. The displacement functions are derived from the exact solution of refined shell equations based on orthogonal curvilinear coordinates. The velocity potential and Bernoulliʹs equation have been used to describe an expression for fluid pressure which yields three forces (inertial, centrifugal and Coriolis) of the moving fluid. The mass, stiffness and damping matrices due to the fluid effect can be obtained by an analytical integration of the fluid pressure over the liquid element. Extensive results are given of computations carried out to illustrate the theory and dynamic behavior of open and closed cylindrical shells partially or completely filled with liquid, as well as subjected to a flowing fluid. A satisfactory agreement is seen between the numerical results predicted by the present theory and the results of existing available other theories.