Stability of orthotropic thin-walled cylindrical shells under torsion. Part 1. Theory

Abstract

An analytical solution to the problem of stability of orthotropic and structurally orthotropic cylindrical shells under torsion has been obtained using a small-parameter expansion method. The well-known classical solution is the first approximation for the above-mentioned solution. A detailed numerical analysis has been carried out for isotropic and orthotropic shells. It is demonstrated that for isotropic shells of small and medium length the error of the classical solution is 10–20%, while the classical solution for orthotropic shell gives usually a larger error which may range up to 40%.