The Bowed Narrow Plate Model
Date
2000-04-12
Authors
Russell, David L.
White, Luther W.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Mindlin-Timoshenk plates, Narrow plates, Coupled structures
Citation
Russell, D. L., & White, L. W. (2000). The bowed narrow plate model. <i>Electronic Journal of Differential Equations, 2000</i>(27), pp. 1-19.
Rights
Attribution 4.0 International