



Avtorstvo: 
Boštjan BRANK // 1.01 Izvirni znanstveni članek

Leto: 
1998 
Citat: 
BRANK, Boštjan, BRISEGHELLA, Lamberto, TONELLO,
Nicola, DAMJANIĆ, Frano. On nonlinear dynamics of shells : implementation of
energymomentum conserving algorithm for a finite rotation shell model. Int.
j. numer. methods eng., 1998, vol. 42, str. 409442. 
Povzetek: 
Continuum and
numerical formulations for nonlinear dynamics of thin shells are presented in
this work. An elastodynamic shell model is developed from the threedimensional
continuum by employing standard assumptions of the firstorder sheardeformation
theories. Motion of the shelldirectior is described by a singularityfree
formulation based on the rotation vector. Temporal discretization is performed
by an implicit, onestep, secondorder accurate, timeintegration 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 midpoint rule. Spatial discretization is based on the fournoded
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 NewtonRaphson based solution procedures. An
unconditionally stable time finite element formulation suitable for the
longterm dynamic computations of flexible shelllike 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 fournoded shell finite
element in conjunction with the implicit energy and momentum conserving
timeintegration algorithm [COBISS.SIID 140135]

Tipologija: 
1.01 Izvirni znanstveni članek 
COBISS ID 
140135 Polni zapis iz sistema COBISS 
Vpisal 2009/06/10 11:56

