Abstract:
Numerical analysis is carried out in this paper for thick circular cylindrical shells using
higher order shell theory. In orthogonal curvilinear coordinate system, all equations are
derived with the inclusion of the additional quadratic and cubic terms in the Taylor’s
series expansions of the both in-plane as well as the transverse displacement compo-
nents for the improvement of bending behaviour of the shell. Assuming (h/R)2
1,
a rigorous formulation involving the reduction of a three-dimensional elasticity problem
to a two-dimensional one, based partly upon the Reissner’s variational principle, is
presented. These equations are algebraically manipulated to be in the form of a coupled
system of first-order differential equations in terms of the intrinsic dependent variables.
These are then solved by a segmentation method – numerical integration technique for
various combinations of material and geometric parameters. The theory is shown to
result in a partial differential equation system of sixteenth order.
