This paper deals with the static response of the axisymmetric problem of arbitrarily laminated, anisotropic cylindrical shells of finite length using three-dimensional elasticity equations. The closed cylinder is simply supported at both ends. The highly coupled partial differential equations (PDEs) are reduced to ordinary differential equations (ODEs) with variable coefficients by choosing the solution composed of trigonometric functions along the axial direction. Through dividing each layer into thin laminas, the variable coefficients in ODEs become constants, and the resulting equations can be solved exactly. Numerical examples are presented for [− 45/0 deg] and [−45/45/ − 45 deg] laminations under sinusoidal normal loading on the outer surface and uniform internal pressure. From the present study, it is found that, although the general behavior is similar to that of isotropic shells, the coupling is obvious in general, and the shear effect is very important in the edge region. Moreover, the initial curvature effect plays an essential role, especially in stress distributions.
All Science Journal Classification (ASJC) codes
- Aerospace Engineering