Corotational formulation for nonlinear dynamics of beams with arbitrary thin-walled open cross-sections
2014 (English)In: Computers & structures, ISSN 0045-7949, E-ISSN 1879-2243, Vol. 134, 112-127 p.Article in journal (Refereed) Published
A new consistent corotational formulation for nonlinear dynamics of beams with arbitrary thin-walled cross-section is presented. The novelty is that the warping deformations and the eccentricity of the shear center are fully taken into account. Therefore, additional terms are introduced in the expressions of the inertia force vector and the tangent dynamic matrix. Their contribution is then investigated considering several numerical examples. Besides, the element has seven degrees of freedom at each node and cubic shape functions are used to interpolate local transverse displacements and axial rotations. The formulation's accuracy is assessed considering five examples with comparisons against 3D-solid solutions.
Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 134, 112-127 p.
3D beam elements, Corotational method, Finite rotations, Nonlinear dynamics, Thin-walled
IdentifiersURN: urn:nbn:se:kth:diva-142323DOI: 10.1016/j.compstruc.2013.11.005ISI: 000331676500009ScopusID: 2-s2.0-84893761577OAI: oai:DiVA.org:kth-142323DiVA: diva2:702933
QC 201403052014-03-052014-02-282016-04-15Bibliographically approved