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- W1997015024 abstract "Assumed mode expansions based on Hamilton's principle were employed in an earlier presentation [P. T. Chen and J. H. Ginsberg, J. Acoust. Soc. Am. Suppl. 1 85, S139 (1989)] to study fluid-structure interactions of a submerged prolate spheroidal shell of low-aspect ratio. In that approach, a straightforward analysis of the in uacuo shell vibration properties was found to be efficient for the lower and upper branches of axisymmetric deformation, provided that the aspect ratio of the spheroid is not large. The present paper addresses methods by which the first few modes of both branches may be determined for cases of high-aspect ratio. In order to overcome numerical ill-conditioning, an iterative variational method is employed to seep the natural frequencies and mode shapes with increasing mode number. In addition, in order to ensure convergence to the upper branch, which occurs in a much higher frequency band that that of the lower branch, an artificial potential energy affecting only high wavenumbers is added. The model data derived in this manner are used to analyze a case of forced vibration of a submerged shell. The results are compared with Yen and Dimaggio's finite difference solution [J. Acoust. Soc. Am. 41, 618–626 (1967)]. [Work supported by the Office of Naval Research, Code 1132-SM.]" @default.
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- W1997015024 date "1989-11-01" @default.
- W1997015024 modified "2023-09-25" @default.
- W1997015024 title "Axisymmetric vibration of spheroidal shells for high‐aspect ratio" @default.
- W1997015024 doi "https://doi.org/10.1121/1.2027687" @default.
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