Transient response of a spherical shell in an acoustic medium—Comparison of exact and approximate solutions |
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Authors: | N Akkas AE Engi?n |
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Institution: | Department of Civil Engineering, Middle East Technical University, Ankara, Turkey;Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210, U.S.A. |
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Abstract: | The transient response of a spherical shell in an acoustic medium is studied. The exact solution is obtained by expressing the classical spherical wave equation in terms of a residual potential. Approximate solutions are obtained from the use of eight functions; namely, doubly asymptotic approximations, δ-sequence functions, and spherical wave approximations. The advantages and disadvantages of these approximate solutions are pointed out. The third member of the class of the modal doubly asymptotic approximations for a spherical surface and an improved spherical wave approximation are introduced. |
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