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- W1994690498 abstract "An earlier paper [J. H. Ginsberg and P. T. Chen, J. Acoust. Soc. Am. Suppl. 1 82, S1 (1987)] employed assumed modes to describe the displacement and pressure along an elastic plate. The amplitudes of those modes were obtained by simultaneously satisfying Hamilton's principle for the structure and a variational principle for the pressure distribution along a vibrating body. Here, the method is extended to an elastic shell structure in the form of an arbitrary body of revolution. The energy expressions for the shell are based on Love's assumptions, while the stationary quantity for the surface pressure is derived from the Kirchhoff-Helmholtz principle. Two important facets of the derivation are the treatment of singularities in the latter and the reciprocal nature of the coupling between the pressure and surface displacement. A numerical example compares the results obtained from the variational formulation with Hayek's analytical solution [J. Acoust. Soc. Am. 40, 342–348 (1966)] for the radiation of a spherical shell in an acoustic medium under a harmonic, concentrated force. [Work supported by the Office of Naval Research, Code 1132-F.]" @default.
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- W1994690498 date "1988-11-01" @default.
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- W1994690498 title "Application of variational principles to the evaluation of axisymmetric surface pressure and displacement along a harmonically vibrating elastic shell" @default.
- W1994690498 doi "https://doi.org/10.1121/1.2026438" @default.
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