Buckling analysis of a laminated cylindrical shell under torsion subjected to mixed boundary conditions
First-order shear deformation theory and Donnell's shallow shell approximation form the basis for the study of linear bifurcation problem for cross-ply laminated cylindrical shells under torsion. Functional degrees of freedom are axial forces, in-plane shear forces, axial bending moments, torsional moments and transverse deflections. Truncated double Fourier series arise in a general linear matrix eigenvalue problem. Experience shows that six terms in axial direction and ten terms in circumferential direction are sufficient for an accuracy of four digits.
general linear matrix eigenvalue problem
scientific article; zbMATH DE number 1341445