The dynamic element method for analysis of frame and cable type structures
2005 (English)In: Engineering structures, ISSN 0141-0296, E-ISSN 1873-7323, Vol. 27, no 13, 1906-1915 p.Article in journal (Refereed) Published
With the dynamic element method (DEM), results more accurate than with the conventional finite element method (FEM) are obtained with the same number of degrees of freedom. This is due to the introduction of shape functions of polynomial type, introducing frequency dependence into the mass matrix expressions. It is demonstrated how this affects free vibration analysis, including the solution of nonlinear eigenvalue problems. Various numerical techniques for solving these polynomial problems are discussed. The polynomial matrix formulations for stiffness and mass matrices are given for a beam, a bar and a cable element. Numerical examples demonstrate how the DEM can be implemented for modelling of frame type structures and its efficiency is compared to that of the conventional FEM
Place, publisher, year, edition, pages
2005. Vol. 27, no 13, 1906-1915 p.
Cable, Dynamic element method, Frame, Free vibration, Nonlinear eigenvalue problem
IdentifiersURN: urn:nbn:se:kth:diva-58992DOI: 10.1016/j.engstruct.2005.06.010ScopusID: 2-s2.0-23944464134OAI: oai:DiVA.org:kth-58992DiVA: diva2:477051
QC 201201132012-01-122012-01-092012-01-13Bibliographically approved