Matija Gams (Author), Igor Planinc (Author), Miran Saje (Author)

Abstract

An energy conserving finite-element formulation for the dynamic analysis of geometrically non-linear beam-like structures undergoing large overall motions has been developed. The formulation uses classical displacement-based planar beam finite elements described in an inertial frame. It takes into account finite axial, bending and shear strains. A theoretically consistent approach is used to derive a novel and simple energy conserving scheme, using the unconventional incremental strain update rather than the standard strong form. Numerical examples demonstrate perfect energy and momenta conservation, stability and robustness of the scheme, and good convergence properties in terms of both the Newton-Raphson method and time step size. (c) 2006 Elsevier B.V. All rights reserved.

Keywords

Reissnerjev nosilec;elastičnost;nelinearna dinamika;časovna integracija;algoritmi;ohranjanje energije;Reissner beam;elasticty;nonlinear dynamics;time integration;conserving algorithms;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FGG - Faculty of Civil and Geodetic Engineering
Publisher: Elsevier
UDC: 624.072:519.61/.64
COBISS: 3445345 Link will open in a new window
ISSN: 0045-7825
Views: 3414
Downloads: 915
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Other data

Secondary language: English
Secondary keywords: Reissnerjev nosilec;elastičnost;nelinearna dinamika;časovna integracija;algoritmi;ohranjanje energije;
File type: application/pdf
Type (COBISS): Not categorized
Pages: str. 2117-2129
Volume: Letn. 196
Issue: št. 17-20
Chronology: 2007
DOI: 10.1016/j.cma.2006.10.012
ID: 8312357