Free vibration of non-shallow, laminated cylinders submerged in a fluid with general boundary conditions

Abstract

This paper presents a theoretical approach to analyze the free vibration of laminated cylinders with general boundary conditions submerged in a fluid. Based on the assumption that the fluid is inviscid, irrotational and incompressible, the equation of motion of the fluid is established. Fluid-structure interaction between the cylinder and the fluid is conducted by satisfying the continuity conditions of the force and of the vibration velocity at the interfaces of the cylinder and the fluid. The curvature–deflection relations are modified to include the effect of the initial curvatures in the circumferential direction of the non-shallow shell. According to the mechanics of composite materials, governing equations for the cylinder undergoing out-of-plane vibration are derived and are solved using Rayleigh-Ritz method. Likely functions of the displacements for cylinders with general boundary conditions are proposed. Furthermore, finite element simulations are fulfilled using ABAQUS. A good agreement between the analytical solutions and finite element results illustrates the efficiency and accuracy of the proposed approach. With the established models, the influence of the slenderness ratio, radius-thickness ratio, the material properties and the fluid-structure interaction on the vibration performance of the laminated cylinder submerged in the fluid is evaluated.