Title :
Homogenized models for three dimensional elastic structures
Author :
Miller, Robert E.
Author_Institution :
Dept. of Math. Sci., Arkansas Univ., Fayetteville, AR, USA
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;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478934
