Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 27, pp. 1-19.

Title: The bowed narrow plate model

Authors: David L. Russell (Univ. of Oklahoma, Norman, OK, USA) 
         Luther W. White  (Virginia Tech, Blacksburg, VA, USA)
         
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.