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Energy-momentum method for co-rotational plane beams: A comparative study of shear flexible formulations
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering. Université Bretagne, France.
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Building Technology and Design.
2017 (English)In: Finite elements in analysis and design (Print), ISSN 0168-874X, E-ISSN 1872-6925, Vol. 134, 41-54 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 134, 41-54 p.
Keyword [en]
2D beams, Co-rotational formulation, Energy-momentum method, Nonlinear dynamics, Shear
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-210189DOI: 10.1016/j.finel.2017.04.001Scopus ID: 2-s2.0-85020725160OAI: oai:DiVA.org:kth-210189DiVA: diva2:1117472
Note

QC 20170629

Available from: 2017-06-29 Created: 2017-06-29 Last updated: 2017-06-29Bibliographically approved

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