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Advances in Acoustics and Vibration
Volume 2014, Article ID 242573, 10 pages
Research Article

Prediction of Vibrational Behavior of Grid-Stiffened Cylindrical Shells

1Department of Mechanical Engineering, Tarbiat Modares University, P.O. Box 14115-143 Tehran, Iran
2Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran

Received 26 January 2014; Revised 18 April 2014; Accepted 14 May 2014; Published 10 July 2014

Academic Editor: Joseph CS Lai

Copyright © 2014 G. H. Rahimi 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.


A unified analytical approach is applied to investigate the vibrational behavior of grid-stiffened cylindrical shells with different boundary conditions. A smeared method is employed to superimpose the stiffness contribution of the stiffeners with those of shell in order to obtain the equivalent stiffness parameters of the whole panel. Theoretical formulation is established based on Sanders’ thin shell theory. The modal forms are assumed to have the axial dependency in the form of Fourier series whose derivatives are legitimized using Stoke's transformation. A 3D finite element model is also built using ABAQUS software which takes into consideration the exact geometric configuration of the stiffeners and the shell. The achievements from the two types of analyses are compared with each other and good agreement has been obtained. The Influences of variations in shell geometrical parameters, boundary condition, and changes in the cross stiffeners angle on the natural frequencies are studied. The results obtained are novel and can be used as a benchmark for further studies. The simplicity and the capability of the present method are also discussed.