Implementation of Shear Deformable Thin-Walled Beam Element for Flexible Multibody Dynamics

J.B. Jonker

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

    5 Citations (Scopus)
    127 Downloads (Pure)


    This paper presents a geometrically nonlinear beam finite element that captures non-uniform torsion and flexuraltorsional coupling of shear deformable thin-walled beams with an open unsymmetrical cross-section. The beam model is based on the generalized strain beam formulation. In this formulation, a set of independent deformation modes is defined as generalized strains in a co-rotational frame which are related to dual stress resultants using Timoshenko-Reissner’s beam formulation. Cross-sectional warping is accounted for by a single warping function. Geometric nonlinearities are accounted for by additional second order terms in the expressions for the deformation modes. Some benchmark examples illustrate the accuracy of the new beam element.
    Original languageEnglish
    Title of host publicationECCOMAS Thematic Conference on Multibody Dynamics
    Subtitle of host publicationPrague, June 19-22, 2017: conference proceedings
    EditorsMichael Valasek, Zbynek Sika, Tomas Vampola
    Number of pages22
    ISBN (Electronic)978-80-01-6174-9
    Publication statusPublished - 8 Dec 2017
    EventMultibody Dynamics 2017: 8th ECCOMAS Thematic Conference - Czech Technical University, Prague, Czech Republic
    Duration: 19 Jun 201722 Jun 2017
    Conference number: 8


    ConferenceMultibody Dynamics 2017
    Country/TerritoryCzech Republic
    Internet address


    • Beam element
    • Deformationmodes
    • Shear deformable
    • Thin-walled beam
    • Warping
    • Geometrically nonlinear

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