Nonlinear damping and forced vibration analysis of laminated composite beams |
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| Authors: | Hadj Youzera Sid Ahmed Meftah Noël Challamel Abdelouahed Tounsi |
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| Affiliation: | 1. Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbes, Algeria;2. Université Européenne de Bretagne, Université de Bretagne Sud, LIMATB Centre de Recherche, Rue de Saint Maudé, BP 92116, 56321 Lorient cedex, France;1. School of Engineering – Emerging Technologies, University of Tabriz, Tabriz, Iran;2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran;1. CREPEC, École Polytechnique, Dep. Mechanical Engineering, P.O. Box 6079, Station Centre-Ville, Montréal, Québec, H3C 3A7, Canada;2. Université de Toulouse, ICA, CNRS, ISAE-Supaero, UPS, INSA, EMAC, 10 avenue Edouard Belin, BP 54032, 31055, Toulouse, France;1. School of Marine Science and Technology, Northwestern Polytechnical University, 127 Youyixilu, 710072 Xi’an, China;2. Research & Development Institute of Northwestern Polytechnical University in Shenzhen, 25 Gaoxin Nan Sidao, 518057 Shenzhen, China;1. IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal;2. Escola Superior Náutica Infante D. Henrique, Av. Eng. Bonneville Franco, 2770-058 Paço de Arcos, Portugal;3. COPPE-UFRJ, Universidade Federal do Rio de Janeiro, Brazil;4. Department of Mechanical and Materials Engineering, Military Institute of Engineering, Rio de Janeiro, Brazil |
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| Abstract: | The purpose of the present work it to study the damping and forced vibrations of three-layered, symmetric laminated composite beams. In the analytical formulation, both normal and shear deformations are considered in the core by using the higher-order zig-zag theories. The harmonic balance method is coupled with a one mode Galerkin procedure for a simply supported beam. The geometrically nonlinear coupling leads to a nonlinear frequency amplitude equation governed by several complex coefficients. In the first part of the paper, linear and nonlinear damping parameters of laminated composite beams are obtained. In the second part, nonlinear forced vibration analysis is carried out for small and large vibration amplitudes. The frequency response curves are presented and discussed for various geometric and material properties. |
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