Closed form solution for displacements of thick cylinders with varying thickness subjected to non-uniform internal pressure

摘要: In this paper a thick cylindrical shell with varying thickness which is subjected to static non-uniform internal pressure analyzed. At first, equilibrium equations of the have been derived by energy principle and considering first order theory Mirsky-Herrmann includes transverse shear deformation. Then governing are, system differential coefficients solved analytically boundary layer technique perturbation theory. spite complexity modeling conditions near boundaries, method very capable providing closed form solution even boundaries. Displacement predictions are in good agreement calculated finite elements other analytical results. The convergence fast amount calculations less than Frobenius method.