Energy conserving time integration scheme for geometrically exact beam

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

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.

• Language: English
• Keywords: Reissner beam, elasticty, nonlinear dynamics, time integration, conserving algorithms
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publisher: Elsevier
• Year: 2007
• Number of pages: Str. 2117-2129
• Numbering: Letn. 196, št. 17-20
• PID: 20.500.12556/RUL-32154
• UDC: 624.072:519.61/.64
• ISSN on article: 0045-7825
• DOI: 10.1016/j.cma.2006.10.012
• COBISS.SI-ID: 3445345
• Publication date in RUL: 10.07.2015

GAMS, Matija, PLANINC, Igor and SAJE, Miran, 2007, Energy conserving time integration scheme for geometrically exact beam. Computer methods in applied mechanics and engineering [online]. 2007. Vol. 196, no. 17–20, p. 2117–2129. [Accessed 17 May 2025]. DOI 10.1016/j.cma.2006.10.012. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=32154

Record is a part of a journal

• Title: Computer methods in applied mechanics and engineering
• Shortened title: Comput. methods appl. mech. eng.
• Publisher: Elsevier
• ISSN: 0045-7825
• COBISS.SI-ID: 6695685

Secondary language

• Language: English
• Keywords: Reissnerjev nosilec, elastičnost, nelinearna dinamika, časovna integracija, algoritmi, ohranjanje energije