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On non-linear dynamics of shells : implementation of energy-momentum conserving algorithm for a finite rotation shell model
Brank, Boštjan (Avtor), Briseghella, Lamberto (Avtor), Tonello, Nicola (Avtor), Damjanić, Frano (Avtor)

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Izvleček
Continuum and numerical formulations for non-linear dynamics of thin shells are presented in this work. An elastodynamic shell model is developed from the three-dimensional continuum by employing standard assumptions of the first-order shear-deformation theories. Motion of the shell-directior is described by a singularity-free formulation based on the rotation vector. Temporal discretization is performed by an implicit, one-step, second-order accurate, time-integration scheme. In this work, an energy and momentum conserving algorithm, which exactly preserves the fundamental constants of the shell motion and guaranties unconditional algorithmic stability, is used. It may be regarded as a modification of the standard mid-point rule. Spatial discretization is based on the four-noded isoparametric element. Particular attention is devoted to the consistent linearization of the weak form of the initial boundary value problem discretized in time and space, in order to achieve a quadratic rate of asymptotic convergence typical for the Newton-Raphson based solution procedures. An unconditionally stable time finite element formulation suitable for the long-term dynamic computations of flexible shell-like structures, which may be undergoing large displacements, large rotations and large motions is therefore obtained. A set of numerical examples is presented to illustrate the present approach and the performance of the isoparametric four-noded shell finite element in conjunction with the implicit energy and momentum conserving time-integration algorithm

Jezik:Angleški jezik
Ključne besede:energy-momentum method, non-linear shell dynamics, finite elements
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FGG - Fakulteta za gradbeništvo in geodezijo
Leto izida:1998
Založnik:Wiley
Št. strani:str. 409-442
Številčenje:Vol. 42, Vol. 42
UDK:539.3
ISSN pri članku:0029-5981
COBISS.SI-ID:140135 Povezava se odpre v novem oknu
Število ogledov:209
Število prenosov:109
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
 
Skupna ocena:(0 glasov)
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Gradivo je del revije

Naslov:International journal for numerical methods in engineering
Skrajšan naslov:Int. j. numer. methods eng.
Založnik:Wiley
ISSN:0029-5981
COBISS.SI-ID:6316039 Novo okno

Sekundarni jezik

Jezik:Angleški jezik
Ključne besede:končni elementi, mehanika, ploskovne konstrukcije, integracijski algoritmi, nelinearna dinamika, lupine

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