Dynamic Response of Initially-Stressed Membrane Shells

by John W. Leonard,

Serial Information: Journal of the Engineering Mechanics Division, 1969, Vol. 95, Issue 5, Pg. 1231-1254

Document Type: Journal Paper


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.

Subject Headings: Dynamic loads | Dynamic response | Membranes | Equations of motion | Stress analysis | Structural response | Structural members | Arbitration

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