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| Avtorstvo: |
Boštjan BRANK // 1.01 Izvirni znanstveni članek
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| Leto: |
1998 |
| Citat: |
BRANK, Boštjan, BRISEGHELLA, Lamberto, TONELLO,
Nicola, DAMJANIĆ, Frano. On non-linear dynamics of shells : implementation of
energy-momentum conserving algorithm for a finite rotation shell model. Int.
j. numer. methods eng., 1998, vol. 42, str. 409-442. |
| Povzetek: |
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 [COBISS.SI-ID 140135]
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| Tipologija: |
1.01 Izvirni znanstveni članek |
| COBISS ID |
140135 Polni zapis iz sistema COBISS |
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Vpisal 2009/06/10 11:56
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