Stiffness and buckling optimization of thin plates with BEM

Katsikadelis, JT; Babouskos, NG

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Babouskos, NG	en
dc.date.accessioned	2014-03-01T11:47:18Z
dc.date.available	2014-03-01T11:47:18Z
dc.date.issued	2012	en
dc.identifier.issn	09391533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/38116
dc.subject	Analog equation method	en
dc.subject	Boundary element method	en
dc.subject	Buckling optimization	en
dc.subject	Plates of variable thickness	en
dc.subject	Radial basis functions	en
dc.subject	Stiffness optimization	en
dc.subject	Thickness optimization	en
dc.title	Stiffness and buckling optimization of thin plates with BEM	en
heal.type	other	en
heal.identifier.primary	10.1007/s00419-012-0668-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-012-0668-7	en
heal.publicationDate	2012	en
heal.abstract	The thickness optimization is used to maximize the stiffness or the buckling load of a Kirchhoff plate having constant volume. The shape of the plate is arbitrary and it is subjected to any type of admissible boundary conditions. The optimization consists in establishing the thickness variation law, for which either the stiffness of the plate or the buckling load is maximized. Beside the equality constraint of constant volume, the thickness variation is subjected also to inequality constraints resulting from serviceability requirements (upper and lower thickness bounds) as well as from the condition that the Kirchhoff plate theory remains valid. The latter constraint is new and it is derived herein by approximating the plate with a three-dimensional prismatic elastic body having curved upper and lower surface. The optimization problem is solved using the sequential quadratic programming algorithm. The bending and the plane stress problem of a plate with variable thickness, required for the evaluation of the objective function, are solved using the analog equation method. The thickness is approximated using integrated radial basis functions that approximate accurately not only the thickness function but also its first and second derivatives involved in the plate equation and in the constraints. Several plate optimization problems have been studied giving realistic and meaningful optimum designs without violating the validity of the thin plate theory. © 2012 Springer-Verlag.	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-012-0668-7	en
dc.identifier.spage	1	en
dc.identifier.epage	20	en