Abstract |
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A rigid, perfectly-plastic model of solids is
applied to study the dynamic behavior of simply supported or
clamped, arbitrarily shaped plates on visco-elastic foundation.
The role of membrane forces and transverse shear forces in the
yield condition and the influence of geometry changes are
neglected. The plate is subjected to explosive loads uniformly
distributed over the surface. Several mechanisms of dynamic
deformation of the plate are considered. For each mechanism,
equations of the dynamic behavior are obtained. Operating
conditions of these mechanisms are analyzed. Analytical
expressions for the limit and high loads and for the maximum
final deflections are obtained. Detailed analyses are
given for an astroid-shaped plate, for a plate with a contour
consisting of two arcs and for a plate with an internal free hole
or a rigid insert.
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Keywords
rigid-plastic plate, arbitrarily shaped plate, dynamic load, limit load, final deflection
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Authors
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