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Optimal Location of Support Points in the Kirchhoff Plate

In: Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design

Author

Listed:
  • Giuseppe Buttazzo

    (Università di Pisa)

  • Sergey A. Nazarov

    (Russian Academy of Sciences)

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.

Suggested Citation

  • Giuseppe Buttazzo & Sergey A. Nazarov, 2012. "Optimal Location of Support Points in the Kirchhoff Plate," Springer Optimization and Its Applications, in: Giuseppe Buttazzo & Aldo Frediani (ed.), Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design, edition 127, pages 93-116, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-2435-2_5
    DOI: 10.1007/978-1-4614-2435-2_5
    as

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