Author(s)

D. Nagorny & J. Roorda

Abstract

This paper presents the problem of dynamic stability of long cylindrical panels subject to a suddenly applied radial pressure, which remains constant. The energy approach is used to develop the static equilibrium equations. The criterion of dynamic snap-through is developed which avoids formulating the differential equations of motion and solves the problem using a purely static formulation. The graphic interpretation of such a criterion is also given. Model description and basic equations Consider the problem of static and dynamic stability of a long cylindrical panel of radius R and thickness /*, with the size in the longitudinal direction (the length) being significantly larger than the size b in the circular direction (the width). The ;c axis is directed along the length and the y ax

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