The solution of laminated composite spherical shells by the application of chebyshev series

Abstract EN

The solution of Composite Spherical Shells subjected to different external loading and boundary condition are investigation and analysis by the application of the classical composite-material theory.

In this research are used Chebyshev series in matrix form to reformulate the differential equations of equilibrium of a composite spherical shell .

Two problem are solved by using Chebyshev theory, the first problem are solved laminated spherical shell under uniform external pressure with open ( "o=10o) , the results obtained for maximum stress is (5.298-5.563 N/m) and maximum moment is (1.189-1.99 N.m/m).The results are compared with available published results and confirmed mach well.

The second problem is solved for a supported shells under unite edge line load with different ("o=30o and 80o ), the results is seen the stress for laminated composite shells concreted near the pole or near the equator and the bending is localized around the edges.