• DocumentCode
    294447
  • Title

    Homogenized models for three dimensional elastic structures

  • Author

    Miller, Robert E.

  • Author_Institution
    Dept. of Math. Sci., Arkansas Univ., Fayetteville, AR, USA
  • Volume
    1
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    467
  • Abstract
    The method of homogenization by two-scale convergence is applied to an eigenvalue problem arising in a problem of three-dimensional linearized elasticity. Since the only extension operator required is the extension by zero, the method can be applied to problems on perforated domains. The homogenized coefficients are computed and numerical results are presented for a periodic structure whose representative period is a cube with material distributed along the faces
  • Keywords
    eigenvalues and eigenfunctions; elasticity; flexible structures; modelling; torsion; 3D elastic structures; 3D linearized elasticity; eigenvalue; homogenized coefficients; homogenized models; periodic structure; two-scale convergence; Control design; Convergence; Damping; Distributed computing; Eigenvalues and eigenfunctions; Elasticity; Integral equations; Nonhomogeneous media; Parameter estimation; Periodic structures;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.478934
  • Filename
    478934