Effects of Ring Support and Internal Pressure on the Vibration Behavior of Multiple Layered Cylindrical Shells

M R Isvandzibaei,R I Raja Hamzah,H Jamaluddin

doi:10.1155/2013/791917

Abstract

This paper presents the study on natural frequency characteristics of a multiple layered cylindrical shell with ring support under internal pressure. The multiple layered cylindrical shell configuration is formed by three layers of isotropic materials where the inner and outer layers are stainless steel and the middle layer is aluminum. The isotropic multiple layered shell equations with ring support and internal pressure are established based on first order shear deformation theory (FSDT). The governing equations of motion were employed by using energy functional and by applying the Ritz method. The boundary conditions represented by end conditions of the multiple cylindrical shell are simply supported-simply supported (SS-SS), clamped-clamped (C-C), free-free (F-F), clamped-free (C-F), clamped-simply supported (C-SS), and free-simply supported (F-SS). The influences of internal pressure and ring support and the effect of the different boundary conditions on natural frequencies characteristics are studied. The results are validated by comparing them with those in the literature.

Highlights

Shells structures are light weight constructions commonly used as structural components in engineering applications
The first order shear deformation theory is employed and the governing equations of motion were derived, using energy functional applied to the Ritz method
The boundary conditions represented by the end conditions are supportedsimply supported (SS-SS), clamped-clamped (C-C), freefree (F-F), clamped-free (C-F), clamped- supported (C-SS), and free- supported (F-SS)

Summary

Introduction

Shells structures are light weight constructions commonly used as structural components in engineering applications. A shell structure is a three-dimensional structure. In comparison with plates and beams, shells usually exhibit more different dynamic behaviours because they can carry applied various loads effectively by their curvatures [1]. The dynamic characteristic of shells has been studied by many researchers. It was first introduced by Love [2]. Kirchhoff hypotheses were developed for plate bending, assuming small deflection and thinness of the shell

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