Buckling analysis of composite panels and shells with different material properties by discrete singular convolution (DSC) method

The main purpose of this study is to give a numerical solution for static buckling problem of circular cylindrical panels, conical panels, conical shells and circular cylindrical shells under axial load. Isotropic, laminated composite, functionally graded material (FGM) and carbon nanotube (CNT) reinforced functionally graded cases are taken into consideration. By using the Donnell's shell theory and first-order shear deformation (FSDT) shell theory, the related equations have been obtained for buckling phenomena of shells. Then, the method of discrete singular convolution (DSC) based on the Shannon's kernel is applied for the solution of these equations. Convergence and comparison studies are carried out to check the validity and accuracy of the DSC method. The effects of shell geometric quantities and material properties on buckling are examined and results are presented for isotropic, FGM, CNT reinforced FGM and laminated composite conical and cylindrical shells and panels. Performance and convergence conditions of the method of DSC have also been investigated.