A simple formulation for large vibration amplitudes of laminated composite beams
International Conference on Applications and Design in Mechanical Engineering 2012 (ICADME 2012) organized by School of Mechatronic Engineering, Universiti Malaysia Perlis (UniMAP), 27th - 28th Februari 2012 at Bayview Beach Resort, Penang, Malaysia.
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Universiti Malaysia Perlis (UniMAP)
2012
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my.unimap-194892012-05-31T13:32:20Z A simple formulation for large vibration amplitudes of laminated composite beams E. L. Bikri, Khalid Merrimi, El Bekkaye Benamar, Rhali k_elbikri@yahoo.com merbe2004@yahoo.fr rbenamar@emi.ac.ma Large vibration amplitudes Laminated composite beam Multimode approach International Conference on Applications and Design in Mechanical Engineering 2012 (ICADME 2012) organized by School of Mechatronic Engineering, Universiti Malaysia Perlis (UniMAP), 27th - 28th Februari 2012 at Bayview Beach Resort, Penang, Malaysia. 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. A simplified multimode approach, based on the explicit formulation developed previously for various nonlinear vibration problems, is derived, leading to a multimode explicit description, 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. 2012-05-31T08:43:48Z 2012-05-31T08:43:48Z 2012-02-27 Working Paper http://hdl.handle.net/123456789/19489 en Proceedings of the International Conference on Applications and Design in Mechanical Engineering 2012 (ICADME 2012) Universiti Malaysia Perlis (UniMAP) Pusat Pengajian Kejuruteraan Mekatronik |
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Large vibration amplitudes Laminated composite beam Multimode approach |
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Large vibration amplitudes Laminated composite beam Multimode approach E. L. Bikri, Khalid Merrimi, El Bekkaye Benamar, Rhali A simple formulation for large vibration amplitudes of laminated composite beams |
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International Conference on Applications and Design in Mechanical Engineering 2012 (ICADME 2012) organized by School of Mechatronic Engineering, Universiti Malaysia Perlis (UniMAP), 27th - 28th Februari 2012 at Bayview Beach Resort, Penang, Malaysia. |
author2 |
k_elbikri@yahoo.com |
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k_elbikri@yahoo.com E. L. Bikri, Khalid Merrimi, El Bekkaye Benamar, Rhali |
format |
Working Paper |
author |
E. L. Bikri, Khalid Merrimi, El Bekkaye Benamar, Rhali |
author_sort |
E. L. Bikri, Khalid |
title |
A simple formulation for large vibration amplitudes of laminated composite beams |
title_short |
A simple formulation for large vibration amplitudes of laminated composite beams |
title_full |
A simple formulation for large vibration amplitudes of laminated composite beams |
title_fullStr |
A simple formulation for large vibration amplitudes of laminated composite beams |
title_full_unstemmed |
A simple formulation for large vibration amplitudes of laminated composite beams |
title_sort |
simple formulation for large vibration amplitudes of laminated composite beams |
publisher |
Universiti Malaysia Perlis (UniMAP) |
publishDate |
2012 |
url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/19489 |
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1643792812136726528 |
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13.214268 |