Abstract:
This work presents mode-shape analysis of cross-ply laminated composite cylindrical shallow shells. First, kinematic relations of strains and deformation have been showed. Then, using Hamilton's principle, governing differential equations have been obtained for a general curved shell. In the next step, stress-strain relation for laminated, cross-ply composite shells has been given. By using some simplifications and assuming Fourier series as a displacement field, differential equations are solved by matrix algebra for shallow shells. By the help of a computer algebra system called MATHEMATICA, a computer program has been prepared for the solution. The results obtained by this solution have been given tables and graphs. Example problems have been solved also by (ANSYS and SAP2000) programs, which are based on the finite element method (FEM). The comparison has been made using all of tables and graphs that are obtained by various theories.
