Large-Deflection Analysis of Buckling of a Cylinder Under Bending

Abstract

A theoretical study is made on the local ovaling of a relatively thick tube of low modulus caused by bending. Use is made of modified Donnell’s large-deflection theory [3] and the principle of minimum potential energy in the solution. It is found that tubes with small radius-thickness ratio tend to buckle by local ovaling rather than by the small wave pattern since the former yields lower buckling moment than the latter.