MATEC Web Conf.
Volume 286, 201914th Congress of Mechanics (CMM2019)
|Number of page(s)||3|
|Section||Solid and Composite Materials|
|Published online||14 August 2019|
Vibration of composite thin-walled beams with variable open cross section by a high order implicit algorithm
Laboratoire d’Ingénierie et Matériaux (LIMAT), Faculté des Sciences Ben M’Sik, Hassan II University of Casablanca, Avenue Cdt Driss El Harti B.P. 7955, Sidi Othman, Casablanca, Maroc.
2 Laboratoire de Génie Mécanique (LGM), Faculté des Sciences et Techniques, Fès, Université Sidi Mohamed Ben Abdellah Route d’Imouzzer B.P. 2202, Fès, Maroc.
3 Laboratoire d’Etude des Microstructures et de Mécanique des Matériaux (LEM3), Université de Lorraine Metz, CNRS UMR 7239, Ile du Saulcy, 57057, France.
In this work, we study the forced nonlinear vibrations with large amplitude and large torsion of composite thinwalled beams with open variable cross sections under external dynamic loads using a high order implicit algorithm. The used algorithm is based on the temporal and spatial discretizations, the homtopoy transformation, Taylor series expansion and the continuation technique. A 3D beam element with two nodes and seven degrees of freedom per node is adopted. The obtained results are compared with those computed by the industriel Abaqus code.
Key words: Composite thin-walled beam / open variable cross section / large displacement / large torsion / forced nonlinear vibrations / Newmark implicit scheme / Taylor series / homotopy transformation.
© The Authors, published by EDP Sciences, 2019
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