Stability of cylindrical shells in axial compression and heating in a set of localized regions

A theoretical and experimental study is made of the static stability of a cylindrical shell compressed in the axial direction during rapid heating in a set of small circular regions. The approach used is based on the Bubnov—Galerkin method and introduction of the concept of generalized solutions for stability equations with variable parameters, which makes it possible to find an analytic solution to the problem. Satisfactory agreement is obtained between the analytical and experimental results.