Plane-Strain Dynamic Response of a Cylindrical Shell—A Comparison Study of Three Different Shell Theories

Abstract

An analytical study of the plane-strain dynamic response of a circular, cylindrical shell is presented. The shell is subjected to a radially directed concentrated impulse acting on its surface. Solutions are presented within the framework of (a) membrane theory, (b) Flügge theory, and (c) improved theory (including shear deformation and rotatory inertia). A quantitative study of the initial motion of the shell indicates major differences in response prediction of the three theories. An explanation of these differences is offered.