✦ LIBER ✦

CLOSED FORM SOLUTIONS FOR THE POINT MOBILITIES OF AXISYMMETRICALLY EXCITED CYLINDRICAL SHELLS

✍ Scribed by O. FÉGEANT

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 436 KB
Volume: 243
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3393

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✦ Synopsis

Closed form formulae are reported describing point mobilities for thin cylindrical shells in axisymmetric motion. Two cases are studied: (1) the in"nite shell and (2) the edge-excited semi-in"nite shell and, for both, forces and moment excitation are considered. The solutions of these problems are obtained analytically by resorting to perturbation methods and presented in terms of the Green functions and point mobilities. These results are further used to derive approximate expressions for the re#ection coe$cients of the shell-borne waves at a free end and for the Green functions of a "nite free}free shell undergoing axisymmetric vibrations.

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