Transverse shear deformation in dynamic behavior of anisotropic laminated cylindrical shells subjeted to a flowing fluid

摘要

This work deals with an analytical procedure for the dynamic analysis of anisotropic laminated composite, as well as isotropic open or closed, cylindrical shells submerged in and subjected simultaneously to an internal and external fluid ont eh basis of refined shell theory. The shell may be uniform or non-uniform in the circumferential direction. The method used is a combination of hybrid finite element analysis and refined shear deformation theory of shells. The displacement functions are derived from an exact solution of refined shell equations based on orthogonal curvilinear coordinates and Green's exact relations of strain displacements. The mass and stiffness matrices of each structural element are drived by exact analytical integration. The velocity potential, Bernoulli's equation,t he linear impermeability and dynamic conditions applied to the shell-fluid interface have been used to obtain an explicit expression for fluid pressure. The fluid pressure has been analytically integrated over the liquid element to obtain the mass, stiffness and damping matrices due to the fluid effect. Numerical examples are given for the free vibration of laminated composite, symmetric and anti-symmetric, and isotropic materials for both open and closed circular cylindrical shells.