POSTCRITICAL BEHAVIOR OF ORTHOTROPIC CIRCULAR CYLINDRICAL-SHELLS UNDER TIME-DEPENDENT AXIAL-COMPRESSION

A non-shallow non-linear shell theory is used to analyze the parametri c resonance of orthotropic circular cylindrical shells under harmonica lly varying axial compression. As special cases, post-buckling and non -linear vibration problems are also studied. In the analysis the non-l inear terms and the inertias contributed by both normal displacement w and circumferential displacement v are included. Therefore the final dynamic system includes two equations in w and v. The transverse shear deformation is taken into account by a first order theory. The spatia l variables in the governing equations are eliminated by the Galerkin procedure. The final ordinary differential equations are solved by an asymptotic method. Numerical results show the dependence of the post-c ritical behaviour on the properties of material, geometry and excitati on. (C) 1998 Academic Press Limited.