Energy conserving time integration scheme for geometrically exact beam

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

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.

• Jezik: Angleški jezik
• Ključne besede: Reissner beam, elasticty, nonlinear dynamics, time integration, conserving algorithms
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Založnik: Elsevier
• Leto izida: 2007
• Št. strani: Str. 2117-2129
• Številčenje: Letn. 196, št. 17-20
• PID: 20.500.12556/RUL-32154
• UDK: 624.072:519.61/.64
• ISSN pri članku: 0045-7825
• DOI: 10.1016/j.cma.2006.10.012
• COBISS.SI-ID: 3445345
• Datum objave v RUL: 10.07.2015

Gradivo je del revije

• Naslov: Computer methods in applied mechanics and engineering
• Skrajšan naslov: Comput. methods appl. mech. eng.
• Založnik: Elsevier
• ISSN: 0045-7825
• COBISS.SI-ID: 6695685

Sekundarni jezik

• Jezik: Angleški jezik
• Ključne besede: Reissnerjev nosilec, elastičnost, nelinearna dinamika, časovna integracija, algoritmi, ohranjanje energije