Abstract
Shallow shell theory is used to investigate the non-linear plane deformation of a circular cylindrical panel elastically restrained against rotation at the supports. The critical or equilibrium configurations which may exist at zero load are determined. By examining the local stability of the various configurations, the critical rotational stiffness is obtained, above which the shell cannot exhibit dynamic snap-through under impulsive load. Finally for the range of geometries and rotational stiffness for which snap-through may exist, a sufficient condition for stability is given.
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