Spherical Shells Like Hexagons: Cylinders Prefer Diamonds. Part I

摘要

The purpose of the paper is to describe the initial postbuckling behavior of cylindrical shells under axial compression. Multiple scale techniques are employed to investigate the dynamic interaction and evolution of competing diamond patterns to investigate the dynamic interaction and evolution of competing diamon patterns and the propagation of spatial inhomogeneities. It is shown that if no substanital bias is present in either the initial imperfections or initial conditions a natural selection mechanism exists which favors the square diamond configuration. Numerical results are included which support the findings of the analytical investigation. (Author)