000015864 001__ 15864
000015864 005__ 20161115135332.0
000015864 04107 $$aeng
000015864 046__ $$k2013-06-12
000015864 100__ $$ale, T-'.
000015864 24500 $$aA New Corotational Element for Nonlinear Dynamic Analysis of 3D Beams

000015864 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015864 260__ $$bNational Technical University of Athens, 2013
000015864 506__ $$arestricted
000015864 520__ $$2eng$$aThe purpose of the paper is to present a corotational beam element for the nonlinear dynamic analysis of 3D flexible frames. The novelty of the formulation lies in the use of the corotational framework (i.e. the decomposition into rigid body motion and pure deformation) to derive not only the internal force vector and the tangent stiffness matrix but also the inertia force vector and the tangent dynamic matrix. As a consequence, cubic interpolations are adopted to formulate both inertia and internal local terms. In the derivation of the dynamic terms, an approximation for the local rotations is introduced and a concise expression for the global inertia force vector is obtained. To enhance the efficiency of the iterative procedure, an approximate expression of the tangent dynamic matrix is adopted. Several numerical examples are considered to assess the performance of the new formulation against the one suggested by Simo and Vu-Quoc [37]. It was observed that the proposed formulation proves to combine accuracy with efficiency. In particular, the present approach achieves the same level of accuracy as the formulation of Simo and Vu-Quoc but with a significantly smaller number of elements.

000015864 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015864 653__ $$aCorotational method, Nonlinear dynamics, 3D beam elements, Finite rotations.

000015864 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015864 720__ $$ale, T-'.$$iBattini, J-M.$$iHjiaj, M.
000015864 8560_ $$ffischerc@itam.cas.cz
000015864 8564_ $$s576588$$uhttps://invenio.itam.cas.cz/record/15864/files/1592.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-RS 13 NUMERICAL METHODS FOR LINEAR AND NONLINEAR DYNAMICS
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000015864 962__ $$r15525
000015864 980__ $$aPAPER