Transient Response of a Periodically Supported Cylindrical Shell Immersed in a Fluid Medium

[+] Author and Article Information
Harry Herman

Newark College of Engineering, Newark, N. J.

J. M. Klosner

Polytechnic Institute of Brooklyn, Brooklyn, N. Y.

J. Appl. Mech 32(3), 562-568 (Sep 01, 1965) (7 pages) doi:10.1115/1.3627259 History: Received August 12, 1964; Revised December 08, 1964; Online September 15, 2011


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 incident particle velocity is zero, and the pressure is assumed to have a harmonic spatial variation parallel to the shell axis. The exact solution is obtained by use of a Fourier integral transform, and the resulting inversion integral is evaluated by numerical and asymptotic integration. Two solutions to the same problem are obtained by using a plane and cylindrical wave approximation for the radiated field. The range of their applicability is investigated. For a steel shell in water

ccs2 = 0.08815
it is found that, when the supports are placed three shell diameters apart, the use of the cylindrical wave approximation results in a 5-percent underestimation of the maximum deflection, while when the supports are placed one sixth of a shell diameter apart, the approximations are invalid.

Copyright © 1965 by ASME
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