Transient Vibration of Thin Elastic Shells

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Abstract
A complete solution for the response of an arbitrary shell subjected to time-dependent surface loads is derived by means of the classical method of spectral representation. The solution is expanded in terms of the modes of free vibration, and their orthogonality is proved for an arbitrary shell. As an example, the response of a spherical shell to a suddenly applied uniform normal load is calculated in detail.

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