Electron. J. Diff. Eqns., Vol. 2000(2000), No. 27, pp. 119.
The bowed narrow plate model
David L. Russell & Luther W. White
Abstract:
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: MindlinTimoshenk plates, Narrow Plates, coupled structures.
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David L. Russell
Department of Mathematics, Virginia Tech
Blacksburg, Virginia, USA
email: russell@calvin.math.vt.edu 

Luther W. White
Department of Mathematics
University of Oklahoma
Norman, Oklahoma 73019, USA
email: lwhite@math.ou.edu

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