Department of Mathematics, Virginia Tech
Blacksburg, Virginia, USA
e-mail: russell@calvin.math.vt.edu
Department of Mathematics
University of Oklahoma
Norman, Oklahoma 73019, USA
e-mail: lwhite@math.ou.edu
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: Mindlin-Timoshenk plates, Narrow Plates, coupled structures.
Show me the PDF file (179K), TEX file, and other files for this article.
| 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 |
Return to the EJDE web page