An energy decaying scheme for nonlinear dynamics of shells
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Publication:1611992
DOI10.1016/S0045-7825(02)00243-8zbMath1011.74062OpenAlexW1993512548MaRDI QIDQ1611992
Jou-Young Choi, Carlo L. Bottasso, Olivier A. Bauchau
Publication date: 28 August 2002
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00243-8
unconditional stabilitygeometrically exact shellsinextensible directorenergy decaying schemefinite element spatial formulationhigh-frequency numerical dampingmixed interpolationstwo-parameter representation of director rotations
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Cites Work
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- Dynamics of 3-D co-rotational beams
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Computational schemes for flexible, nonlinear multi-body systems
- Nonlinear dynamics of shells: Theory, finite element formulation, and integration schemes
- Energy preserving/decaying schemes for nonlinear beam dynamics using the helicoidal approximation
- Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
- Energy decaying scheme for nonlinear beam models
- Analysis of flexible multibody systems with intermittent contacts
- On representations and parameterizations of motion
- Formulation and analysis of conserving algorithms for frictionless dynamic contact/ impact problems
- On the modeling of shells in multibody dynamics
- Robust integration schemes for flexible multibody systems.
- Integrating finite rotations
- On the design of energy preserving and decaying schemes for flexible, nonlinear multi-body systems
- On the modeling of friction and rolling in flexible multi-body systems
- A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
- A formulation of general shell elements—the use of mixed interpolation of tensorial components
- Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
- Energy decaying scheme for nonlinear elastic multi-body systems
- Geometric integration: numerical solution of differential equations on manifolds
- Higher‐order MITC general shell elements
- A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
- Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
- Multibody Dynamics
- Integration of elastic multibody systems by invariant conserving/dissipating algorithms. I: Formulation. II: Numerical schemes and applications
