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How the lower bound of the collapse pressure, Pc, is determined as a function of the flattening amplitude, delta0

from Jan Blachut, Department of Mechanical Engineering, The University of Liverpool.
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The imperfection amplitude, delta0, is defined in the previous slide. P(cr)* is the bifurcation buckling pressure of the perfect shell. R and t are shown in the previous slide. The several curves labeled 3 deg., 5 deg., 7 deg., 9 deg. and 11 deg. correspond to the values of the "flat" spot angle, alpha, which is indicated on the previous slide.

The purpose of this slide is to demonstrate how a lower bound of the collapse pressure of the axisymmetrically imperfect shell is determined as a function of the "imperfection" amplitude, delta0. The lower bound envelope is determined with use of the computer program BOSOR5.

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