Abstract

With the assumption of radial vibration, there exists only a trivial solution for a general orthotropic hollow sphere and the nonzero solution can be obtained only for a spherically isotropic hollow sphere (a special case of the orthotropic hollow sphere) and the corresponding proofs are presented. So, the numerical results given by Stavsky and Greenberg [J. Acoust. Soc. Am. 113, 847–851 (2003)] for a general orthotropic hollow sphere are unreasonable.

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