ABSTRACT

Free vibration response of a cylindrical shell closed with two hemispherical caps at the ends (hermit capsule) is analysed in this research. It is assumed that the system of joined shell is made from functionally graded materials (FGM). Properties of the shells are assumed to be graded through the thickness. Cylindrical and hemispherical shells are unified in thickness. To capture the effects of through-the-thickness shear deformations and rotary inertias, first order theory of shells is used. Donnell type of kinematic assumptions are adopted to establish the general equations of motion and the associated boundary and continuity conditions with the aid of Hamilton's principle. The resulting system of equations are discretised using the semi-analytical generalised differential quadrature (GDQ) method. After proving the efficiency and validity of the present method for the case of isotropic homogeneous joined shells, some parametric studies are carried out for the system of combined FGM hermetic capsule.

摘要

本研究分析了两端有两个半球形帽（隐士胶囊）封闭的圆柱壳的自由振动响应。假设连接壳系统由功能梯度材料 (FGM) 制成。假设壳的属性通过厚度分级。圆柱壳和半球壳的厚度是统一的。为了捕捉全厚度剪切变形和旋转惯性的影响，使用了壳的一阶理论。在Hamilton原理的帮助下，采用Donnell类型的运动学假设来建立运动的一般方程以及相关的边界和连续性条件。使用半解析广义微分求积 (GDQ) 方法对所得方程组进行离散化。