THE SOLUTION OF LAMINATED COMPOSITE SPHERICAL SHELLS BY THE APPLICATION OF CHEBYSHEV SERIES

Abstract

ABSTRACTThe solution of Composite Spherical Shells subjected to different external loading and boundarycondition are investigation and analysis by the application of the classical composite-materialtheory. In this research are used Chebyshev series in matrix form to reformulate the differentialequations of equilibrium of a composite spherical shell . Two problem are solved by usingChebyshev theory, the first problem are solved laminated spherical shell under uniform externalpressure with open ( "o=10o) , the results obtained for maximum stress is (5.298-5.563 N/m) andmaximum moment is (1.189-1.99 N.m/m).The results are compared with available published resultsand confirmed mach well. The second problem is solved for a supported shells under unite edgeline load with different ("o=30o and 80o ), the results is seen the stress for laminated compositeshells concreted near the pole or near the equator and the bending is localized around the edges.