دورية أكاديمية
Vibration of a Timoshenko beam supporting arbitrary large pre-deformation
| العنوان: | Vibration of a Timoshenko beam supporting arbitrary large pre-deformation |
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| المؤلفون: | Le Marrec, Loïc, Lerbet, Jean, Rakotomanana-Ravelonarivo, Lalaonirina |
| المساهمون: | Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Informatique, Biologie Intégrative et Systèmes Complexes (IBISC), Université d'Évry-Val-d'Essonne (UEVE), ANR-11-LABX-0020,LEBESGUE,Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation(2011) |
| المصدر: | ISSN: 0001-5970. |
| بيانات النشر: | HAL CCSD Springer Verlag |
| سنة النشر: | 2018 |
| المجموعة: | Archive Ouverte de l'Université Rennes (HAL) |
| مصطلحات موضوعية: | wave-propagation, shearable rods, Model, Motions, Nonlinear dynamics, Carbon nanotubes, [SPI.MECA.VIBR]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph] |
| الوصف: | International audience ; We present an induced geometrically exact theory for the three-dimensional vibration of a beam undergoing finite transformation. The beam model coincides with a curvilinear Cosserat body and may be seen as an extension of the Timoshenko beam model. No particular hypothesis is used for the constitutive laws (in the framework of hyperelasticity), the geometry at rest or boundary conditions. The method leads to a weak formulation of the equations of vibration. The obtained internal energy is symmetric and leads to a self-adjoint operator that casts into a geometrical and material parts. Both may be written explicitly in terms of the finite transformation. The results are applied on the vibration of a beam supporting a finite longitudinal strain. The nonlinear effects according to the pre-stress are explicitly detailed for this example: instability, buckling. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | hal-01599177; https://hal.science/hal-01599177Test; https://hal.science/hal-01599177/documentTest; https://hal.science/hal-01599177/file/lemarrec2017.pdfTest |
| DOI: | 10.1007/s00707-017-1953-x |
| الإتاحة: | https://doi.org/10.1007/s00707-017-1953-xTest https://hal.science/hal-01599177Test https://hal.science/hal-01599177/documentTest https://hal.science/hal-01599177/file/lemarrec2017.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.BCC89360 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s00707-017-1953-x |
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