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Co-rotational dynamic formulation for 2D beams
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges. Structural Engineering Research Group, LGCGM, France.
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges. Structural Engineering Research Group, LGCGM, France.ORCID iD: 0000-0003-2104-382X
2011 (English)In: ECCOMAS Thematic Conference - COMPDYN 2011, 2011Conference paper, Published paper (Refereed)
Abstract [en]

The corotational method is an attractive approach to derive non-linear finite beam elements. In a number of papers, this method was employed to investigate the non-linear dynamic analysis of 2D beams. However, most of the approaches found in the literature adopted either a lumped mass matrix or linear local interpolations to derive the inertia terms (which gives the classical linear and constant Timoshenko mass matrix), although local cubic interpolations were used to derive the elastic force vector and the tangent stiffness matrix. In this paper, a new corotational formulation for dynamic nonlinear analysis is presented. Cubic interpolations are used to derive both the inertia and elastic terms. Numerical examples show that the proposed approach is more efficient than using lumped or Timoshenko mass matrices.

Place, publisher, year, edition, pages
2011.
Keyword [en]
2D beam element, Corotational method, Nonlinear dynamic analysis
National Category
Civil Engineering
Identifiers
URN: urn:nbn:se:kth:diva-133572Scopus ID: 2-s2.0-80054806038OAI: oai:DiVA.org:kth-133572DiVA: diva2:662213
Conference
COMPDYN 2011 3rd International Conference on Computational Methods in Structural Dynamics & Earthquake Engineering, Corfu, Greece, 2011
Note

QC 20140910

Available from: 2013-11-06 Created: 2013-11-06 Last updated: 2014-09-10Bibliographically approved

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Battini, Jean-Marc

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