Electron. J. Diff. Eqns., Vol. 2000(2000), No. 27, pp. 1-19.

The bowed narrow plate model

David L. Russell & Luther W. White

The derivation of a narrow plate model that accommodates shearing, torsional, and bowing effects is presented. The resulting system has mathematical and computational advantages since it is in the form of a system of differential equations depending on only one spatial variable. A validation of the model against frequency data observed in laboratory experiments is presented. The models may be easily combined to form more complicated structures that are hinged along all or portions of their junction boundaries or are coupled differentiably as through the insertion of dowels between the narrow plates. Computational examples are presented to illustrate the types of deformations possible by coupling these models.

Submitted December 9, 1999. Published April 12, 2000.
Math Subject Classifications: 74K10, 74K30.
Key Words: Mindlin-Timoshenk plates, Narrow Plates, coupled structures.

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David L. Russell
Department of Mathematics, Virginia Tech
Blacksburg, Virginia, USA
e-mail: russell@calvin.math.vt.edu
Luther W. White
Department of Mathematics
University of Oklahoma
Norman, Oklahoma 73019, USA
e-mail: lwhite@math.ou.edu

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