Shape optimization of elastic axisymmetric plate on an elastic foundation
type: Item
instance of: scholarly article
title: Shape optimization of elastic axisymmetric plate on an elastic foundation
zbMATH Open document ID: 0839.73036
author: Petr Salač
published in: Applications of Mathematics
publication date: 1996-06-26T00:00:00Z
full work available at URL: https://eudml.org/doc/32922
review text: This work concerns the two-dimensional optimal design problem for an axisymmetric loaded elastic circular plate of variable thickness fixed on an elastic foundation. Under the condition of constant volume of the plate, the function of thickness is optimized in the class of Lipschitz functions bounded simultaneously from above and below by a positive constant. It is assumed that on the plate act its own weight, a force concentrated at the centre, forces concentrated on the circle, and the so-called rotational symmetrical load. The cost functional is the norm in the weighted Sobolev space consisting of the radial deflection functions. Existence of an optimal solution is proved, an approximate problem is introduced, and convergence of approximate solutions to the exact one is established.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 829873
zbMATH Keywords: existence
zbMATH Keywords: optimal design
zbMATH Keywords: circular plate
zbMATH Keywords: Lipschitz functions
zbMATH Keywords: concentrated force
zbMATH Keywords: weighted Sobolev space
zbMATH Keywords: convergence
zbMATH Keywords: approximate solutions
reviewed by: Ladislav Prášek
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 829873