Geometrically Nonlinear Free Vibrations of Laminated Composite Beams: An Effective Formulation

Abstract:

The purpose of the present paper is to show that the problem of geometrically non linear free vibration of symmetrically and asymmetrically laminated composite beams with immovable ends can be reduced to that of isotropic homogeneous beams with effective bending stiffness and axial stiffness parameters. This simple formulation is developed using the governing axial equation of the beam in which the axial inertia and damping are ignored. The theoretical model is based on Hamilton’s principle and spectral analysis. Iterative form solutions are presented to calculate the fundamental nonlinear frequency parameters which are found to be in a good agreement with the published results. The non-dimensional curvatures associated to the fundamental mode are also given in the case of clamped-clamped symmetrically and asymmetrically laminated composite beams.

• Periodical: Applied Mechanics and Materials (Volumes 105-107)
• Pages: 1681-1684
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.105-107.1681
• Online since: September 2011
• Authors: Khalid El Bikri, El Bekkaye Merrimi, Rhali Benamar
• Keywords: Laminated Composite Beam, Large Vibration Amplitudes, Multimode Approach

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