Optimal Location of Support Points in the Kirchhoff Plate

Giuseppe Buttazzo () and Sergey A. Nazarov ()
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Giuseppe Buttazzo: Università di Pisa
Sergey A. Nazarov: Russian Academy of Sciences

A chapter in Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design, 2012, pp 93-116 from Springer

Abstract: Abstract The Dirichlet problem for the bi-harmonic equation is considered as the Kirchhoff model of an isotropic elastic plate clamped at its edge. The plate is supported at certain points P 1,…,P J , that is, the deflexion u(x) satisfies the Sobolev point conditions u(P 1)=⋯=u(P J )=0. The optimal location of the support points is discussed such that either the compliance functional or the minimal deflexion functional attains its minimum.

Keywords: Support Points; Kirchhoff Plate; Sobolev Problem; Sobolev Condition; Thin Three-dimensional Plate (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-2435-2_5

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DOI: 10.1007/978-1-4614-2435-2_5

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