Free Vibration Analysis of Cross-Ply Laminated Thin-Walled Beams with Open Cross Sections: Exact Solution
Publication: Journal of Structural Engineering
Volume 139, Issue 4
Abstract
The objective of the present paper is to analyze the free vibrations of thin-walled beams with arbitrary open cross section, made of cross-ply laminates with midplane symmetry, by means of an exact solution. The theory of thin-walled composite beams is based on assumptions consistent with Vlasov’s beam theory and classical lamination theory. The governing differential equations for coupled bending-torsional vibrations were obtained using the principle of virtual displacements. To simplify the coupled system of differential equations, an ideal center of gravity and shear center were introduced. In the case of a simply supported thin-walled beam, the closed-form solution for the natural frequencies of free harmonic vibrations was derived. The frequency equation, given in determinantal form, is expanded in an explicit analytical form. To demonstrate the validity of this method, the natural frequencies of nonsymmetric thin-walled beams having coupled deformation modes are evaluated and compared with results available in the literature as well as with FEM results.
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Acknowledgments
The present work has been supported by the Ministry of Education and Science of the Republic of Serbia (Project No. ON174027).
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 139 • Issue 4 • April 2013
Pages: 623 - 629
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Dec 28, 2011
Accepted: Jul 26, 2012
Published online: Aug 11, 2012
Published in print: Apr 1, 2013
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