Forced Plane Strain Motion of Cylindrical Shells-A Comparison of Shell Theory with Elasticity Theory

摘要

A radially directed load is suddenly applied to a portion of the outer surface of a circular cylindrical shell which responds in a state of plane strain. An analytical solution for the resulting dynamic response is obtained within the context of linear elasticity theory, Flugge shell theory, and an 'improved' shell theory. A comparison of the analytical solutions and numerical results for a specific loading indicate that the improved theory is far superior to the Flugge Theory in terms of predicting both the magnitude and characteristics of the response. However, as expected, neither shell theory can satisfactorily predict the wave character of the initial response. (Author)