HAL CCSD
Energy-momentum method for co-rotational plane beams: A comparative study of shear flexible formulations
Chhang, Sophy
Battini, Jean-Marc
Hjiaj, Mohammed
Laboratoire de Génie Civil et Génie Mécanique (LGCGM) ; Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes) ; Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)
European Commission (Research Fund for Coal and Steel) [RFSRCT-2012-00029]
region of Brittany (France)
International audience
ISSN: 0168-874X
Finite Elements in Analysis and Design
Elsevier
hal-01579375
https://univ-rennes.hal.science/hal-01579375
https://univ-rennes.hal.science/hal-01579375
Finite Elements in Analysis and Design, 2017, 134, pp.41--54. ⟨10.1016/j.finel.2017.04.001⟩
DOI: 10.1016/j.finel.2017.04.001
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.finel.2017.04.001
en
co-rotational formulation
energy-momentum method
nonlinear dynamics
2d beams
shear
[SPI.GCIV]Engineering Sciences [physics]/Civil Engineering
[SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph]
info:eu-repo/semantics/article
Journal articles
This paper presents an energy-momentum method for three dynamic co-rotational formulations of shear flexible 2D beams. The classical midpoint rule is applied for both kinematic and strain quantities. Although the idea as such was developed in previous work, its realization and testing in the context of co-rotational Timoshenko 2D beam elements is done here for the first time. The main interest of the method is that the total energy and momenta are conserved. The three proposed formulations are based on the same co-rotational framework but they differ in the assumptions done to derive the local formulations. Four numerical applications are used to assess the accuracy and efficiency of each formulation. In particularly, the conservation of energy with a very large number of steps and the possibility to simplify the tangent dynamic matrix are investigated.
2017