|
Abstract
|
A layer-wise finite element formulation is developed for the analysis of thick functionally graded material (FGM) cylindrical shell with finite length under dynamic load. For this purpose, FGM cylinder is divided into many sub-layers and then the general layer-wise laminate theory is formulated by introducing piecewise continuous approximations through the thickness. The radial displacement is approximated linearly and quadratic through each "mathematical" layer. The shell properties are controlled by volume fraction as an exponential function of radius. The virtual work statement yields the 3-D governing equations which are reduced to 2-D differential equations and the resulting equations are solved by finite element in the axial direction. Results are obtained for the time history of the displacement and stress components with different exponent of functionally graded material. The results for static loading and the first natural frequencies are compared with the solutions of previous problems in the literature. In addition, the natural frequency and mean velocity of the radial stress wave propagation for different exponents of functionally graded material (FGM) are studied and compared with similar ones obtained for FGM cylindrical shell of infinite length
|