Efficient formulation for dynamics of corotational 2D beams
2011 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 48, no 2, 153-161 p.Article in journal (Refereed) Published
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. Vol. 48, no 2, 153-161 p.
Nonlinear dynamic analysis, Corotational formulation, 2D beam element
IdentifiersURN: urn:nbn:se:kth:diva-37542DOI: 10.1007/s00466-011-0585-6ISI: 000293133800003ScopusID: 2-s2.0-80052665915OAI: oai:DiVA.org:kth-37542DiVA: diva2:434798
QC 201108162011-08-162011-08-152013-10-17Bibliographically approved