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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Bibliographic Details
Main Authors: E. L. Bikri, Khalid, Merrimi, El Bekkaye, Benamar, Rhali
Other Authors: k_elbikri@yahoo.com
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2012
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Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/19489
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spelling 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
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Large vibration amplitudes
Laminated composite beam
Multimode approach
spellingShingle 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
description 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
author_facet 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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score 13.160551