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A plane acoustic step-wave traveling through a light fluid medium impinges upon an infinite, elastic, circular cylindrical shell whose axis is parallel to the wavefront of the incident wave. Approximate analytical expressions are given for the post-envelopment response of the first three modes of the shell appropriate to both a rigorous treatment of the fluid-shell interaction and a treatment that disregards the effects of the scattered wave. These analytical expressions, plus numerical computations of modal pressures and of displacement and strain responses for an aluminum shell in air, show why neglect of the scattered wave is a poor approximation. [ABSTRACT FROM AUTHOR]