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Energy-momentum method for nonlinear dynamic of 2D corotational beams.
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges.
INSA de Rennes, France.
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges.ORCID iD: 0000-0003-2104-382X
INSA de Rennes, France.
2016 (English)In: Eccomas 2016 Proceedings, Computational Methods in Structural Dynamics & Earthquake Engineering , 2016Conference paper, Published paper (Refereed)
Abstract [en]

This paper presents an energy-momentum method for nonlinear dynamics of 2D Bernoulli corotational beams. It is shown that the time stepping algorithm conserves energy, linear momentum and angular momentum. To be consistent in the corotational approach, cubic interpolations of Bernoulli element are employed to derive both inertia and elastic terms. The shallow arch strain definition is used to get an element which produce accurate results for less number of elements. To avoid membrane locking, we use a constant and average value of the axial strains. In addition, the energy-momentum method is used to preserve the conserving properties, which is able to maintain the stability and accuracy in a non-dissipative system for a long period. The midpoint velocities of kinematic fields and strains are used to tackle any non-linear form of strain displacement relations. Finally, two examples including large overall displacement are presented to illustrate the stability and efficiency of the proposed algorithms.

Place, publisher, year, edition, pages
Computational Methods in Structural Dynamics & Earthquake Engineering , 2016.
Keyword [en]
Corotational formulation; energy-momentum method; conserving energy; nonlinear dynamic; 2D Beam
National Category
Civil Engineering
Identifiers
URN: urn:nbn:se:kth:diva-192871Scopus ID: 2-s2.0-84995495311ISBN: 9786188284401 (print)OAI: oai:DiVA.org:kth-192871DiVA: diva2:972581
Conference
ECCOMAS Congress 2016 European Congress on Computational Methods in Applied Sciences and Engineering, 5-10 June 2016, Crete Island, Greece
Note

QC 20160927

Available from: 2016-09-21 Created: 2016-09-21 Last updated: 2017-02-24Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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