We derive necessary and sufficient optimality conditions for a quite large class of structural design problems which can be formulated as follows: under a given load and a total volume constraint,minimize a suitable notion of compliance among all admissible mass distributions, represented by positive measures with prescribed integral mean. As a special case, we focus attention on the optimization of thin plates; we detail the corresponding optimality conditions and we show how they can be handled in order to determine analytically some optimal plates.

Optimality conditions for mass design problems and applications to thin plates

FRAGALÀ, ILARIA MARIA RITA
2007

Abstract

We derive necessary and sufficient optimality conditions for a quite large class of structural design problems which can be formulated as follows: under a given load and a total volume constraint,minimize a suitable notion of compliance among all admissible mass distributions, represented by positive measures with prescribed integral mean. As a special case, we focus attention on the optimization of thin plates; we detail the corresponding optimality conditions and we show how they can be handled in order to determine analytically some optimal plates.
Optimization; thin plates.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/254832
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