Static and dynamic beam forms of the loss of stability of a long orthotropic cylindrical shell under external pressure

✍ Scribed by V.N. Paimushin

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 407 KB
• Volume: 72
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/j.jappmathmech.2009.01.004

✦ Synopsis

A cylindrical shell with end sections which are closed and supported by hinges, in accordance with the concepts of the rod theory, is considered to be under the action of an omnidirectional external pressure which remains normal to the lateral surface during the deformation process. It is shown that, for such shells, the previously constructed consistent equations of the momentless theory, reduced using the Timoshenko shear model to the one-dimensional equations of the rod theory, describe three forms of loss of stability: (1) static loss of stability, which occures through a bending mode from the action of the total end axial compression force since, under the clamping conditions considered, its non-conservative part cannot perform work on deflections of the axial line; (2) also a static loss of stability but one which occurs through a purely shear mode with the conversion of a cylinder with normal sections into a cylinder with parallel sloping sections and a corresponding critical load which is independent of the length of the shell; (3) dynamic loss of stability which occurs through a bending-shear form and can only be revealed by a dynamic method using an improved shear model.