Mathematical Problems in Engineering 
Volume 2006 (2006), Article ID 89675, 8 pages
doi:10.1155/MPE/2006/89675

Dynamics of a reinforced viscoelastic plate

Igor V. Andrianov,1 Jan Awrejcewicz,2 and Irina V. Pasichnik

 1Institut für Allgemeine Mechanikder RWTH Aachen, Templergraben 64, Aachen 52062, Germany
2Department of Automatics and Biomechanics, Technical University of Lódź, 1/15 Stefanowski Street, Lódź 90-924, Poland
Received 22 December 2005; Accepted 2 February 2006

Abstract

Oscillations and static bending deformation of a viscoelastic reinforced plate are considered. Analytical solutions are derived. An asymptotic technique, based on the homogenization method, is used for this purpose. In addition, a special perturbation approach is employed. An example is given for the purpose of illustration. The approximate analytical expressions are shown to adequately meet the requirements of optimal structural design.