Transient Response of a Periodically Supported Cylindrical Shell Immersed in a Fluid Medium 1 Transactions of the ASME

Abstract

The dynamic response of a periodically simply supported, infinitely long, circular cylindrical shell to a pressure suddenly applied through the surrounding acoustic medium is investigated. The radiates a plane wave, an approximation which increases in error as time progresses. A solution of the same problem was given by Haywood The forced vibrations of an infinitely long shell with periodically spaced rigid septa and reinforcing rings, surrounded by an infinite acoustic fluid, were studied by Junger In the present investigation, emphasis is placed on the structural aspects of the dynamic response of a periodically simply supported, infinitely long, circular cylindrical shell to a pressure suddenly applied through the surrounding acoustic medium. The incident particle velocity is zero, and the pressure is assumed to have a harmonic spatial variation parallel to the shell axis. Such a pressure distribution is assumed to simplify treatment o