Energy conserving time integration scheme for geometrically exact beam

Matija Gams in Igor Planinc in Miran Saje (2007) Energy conserving time integration scheme for geometrically exact beam. Computer Methods in Applied Mechanics and Engineering, 196 (17-20). str. 2117-2129. ISSN 0045-7825

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    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.

    Vrsta dela: Članek
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    Ustanova: Univerza v Ljubljani
    Fakulteta: Fakulteta za gradbeništvo in geodezijo
    Katedre: Fakulteta za gradbeništvo in geodezijo > Oddelek za gradbeništvo > Katedra za mehaniko (KM)
    ID vnosa: 3574

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