Optimization of clamped rigid-plastic shallow shells of piecewise constant thickness (Q1341621)

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scientific article; zbMATH DE number 707506
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Optimization of clamped rigid-plastic shallow shells of piecewise constant thickness
scientific article; zbMATH DE number 707506

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    Optimization of clamped rigid-plastic shallow shells of piecewise constant thickness (English)
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    5 January 1995
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    The minimum weight problem is studied under the condition that the considered shell has a piecewise constant thickness. The shell with free internal edge and clamped outer edge is subjected to uniformly distributed internal pressure. Moderately large deflections are taken into account and a deformation-type theory of plasticity is employed. Using the variational methods of the optimal control theory, necessary optimality conditions are established. The results obtained are used to establish the optimal parameters for the shell of piecewise constant thickness.
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    minimum weight problem
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    uniformly distributed internal pressure
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    optimal control theory
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    necessary optimality conditions
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    optimal parameters
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