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The dynamic element method for analysis of frame and cable type structures
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Concrete 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
Abstract [en]

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.
Keyword [en]
Cable, Dynamic element method, Frame, Free vibration, Nonlinear eigenvalue problem
National Category
Infrastructure Engineering
Identifiers
URN: urn:nbn:se:kth:diva-58992DOI: 10.1016/j.engstruct.2005.06.010Scopus ID: 2-s2.0-23944464134OAI: oai:DiVA.org:kth-58992DiVA: diva2:477051
Note
QC 20120113Available from: 2012-01-12 Created: 2012-01-09 Last updated: 2017-12-08Bibliographically approved

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