Mathematical Problems in Engineering 
Volume 2006 (2006), Article ID 20598, 8 pages
doi:10.1155/MPE/2006/20598

Analysis of natural in-plane vibration of rectangular plates using homotopy perturbation approach

Igor V. Andrianov,1 Jan Awrejcewicz,2 and Vladimir Chernetskyy3

 1Department of General Mechanics, Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen University, Templergraben 64, Aachen 52056, Germany
2Department of Automatics and Biomechanics, Technical University of Łódź, 1/15 Stefanowski Street, Łódź 90-924, Poland
3Department of Civil Engineering, Pridneprovyhe State Academy of Civil Engineering and Architecture, 24a Chernyschevskogo Street, Dnepropetrovsk 49005, Ukraine
Received 1 June 2006; Accepted 16 July 2006

Abstract

An analytical solution of the problem of free in-plane vibration of rectangular plates with complicated boundary conditions is proposed.