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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 108
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Paper 107

On the Free Vibration Analysis of Prestressed Fiber-Metal Laminated Beam Elements

M.T. Kashani and S.M. Hashemi

Department of Aerospace Engineering, Ryerson University, Toronto, Ontario, Canada

Full Bibliographic Reference for this paper
M.T. Kashani, S.M. Hashemi, "On the Free Vibration Analysis of Prestressed Fiber-Metal Laminated Beam Elements", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 107, 2015. doi:10.4203/ccp.108.107
Keywords: coupled vibration, layered beam, layerwise finite element, MATLAB, ANSYS.

Summary
The free vibration of a three-layered fibre-metal laminated beams, subjected to axial force and end moment is investigated using a layerwise finite element model and the results are compared with the those obtained from the homogenization method. The governing differential equations of coupled flexural-torsional vibrations are developed using Euler-Bernoulli bending and St. Venant torsion beam theories and assuming linear harmonic motion and linearly elastic materials. The linear Eigenvalue problem resulting from discretization along the length is solved to determine the Eigensolutions (i.e., natural frequencies and mode shapes) of illustrative examples, exhibiting geometric bending-torsion coupling and various classical boundary conditions are considered. The model is implemented in MATLAB and results are also compared with those found from ANSYS commercial software. The results show good agreement with both homogenized method and software modeling results. A study is also carried out to illustrate the effects of various combined axial loads and end moments on the stiffness and fundamental frequencies of the structure.

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