Dynamic Response of Initially-Stressed Membrane Shells

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Abstract
This study is concerned with the dynamic behavior of extremely thin shells which have attained a given stress state due to previous loads. The response of these structural components to the action of further in-service dynamic loads is studied and the effects of the initial stress state determined. The equations of motion for a thin shell with a general configuration and a prescribed initial stress state are derived. The general tensor equations are then specialized for a shell of revolution with an arbitrary meridional configuration. An approximate formulation is presented and a solution procedure for the asymmetric modes of free vibration is derived. The solution procedure is illustrated by sample problems. The forced response of these same problems is also studied.

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