POST-CRITICAL BEHAVIOUR OF ORTHOTROPIC CIRCULAR CYLINDRICAL SHELLS UNDER TIME DEPENDENT AXIAL COMPRESSION

✍ Scribed by R. Mao; F.W. Williams

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 279 KB
• Volume: 210
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1151

✦ Synopsis

A non-shallow non-linear shell theory is used to analyze the parametric resonance of orthotropic circular cylindrical shells under harmonically varying axial compression. As special cases, post-buckling and non-linear vibration problems are also studied. In the analysis the non-linear 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 spatial 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-critical behaviour on the properties of material, geometry and excitation.