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Mathematical Problems in Engineering
Volume 2006, Article ID 20598, 8 pages

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

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

Copyright © 2006 Igor V. Andrianov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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