Slope discontinuities in the finite element absolute nodal coordinate formulation: gradient deficient elements

DOI10.1007/s11044-008-9111-9zbMath1347.74089OpenAlexW2062328830MaRDI QIDQ1035402

Ahmed A. Shabana, Luis G. Maqueda

Publication date: 2 November 2009

Published in: Multibody System Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11044-008-9111-9

zbMATH Keywords

coordinate transformationabsolute nodal coordinate formulationslope discontinuitiesthin finite elements

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items (7)

Weak form quadrature elements based on absolute nodal coordinate formulation for planar beamlike structures ⋮ Numerical investigation of the slope discontinuities in large deformation finite element formulations ⋮ A formal procedure and invariants of a transition from conventional finite elements to the absolute nodal coordinate formulation ⋮ Three new triangular shell elements of ANCF represented by Bézier triangles ⋮ A high-precision curvature constrained Bernoulli-Euler planar beam element for geometrically nonlinear analysis ⋮ Simulation of a viscoelastic flexible multibody system using absolute nodal coordinate and fractional derivative methods ⋮ Model order reduction for dynamic simulation of a flexible multibody system via absolute nodal coordinate formulation

Cites Work

• Formulation of three-dimensional joint constraints using the absolute nodal coordinates
• Deformation modes in the finite element absolute nodal coordinate formulation
• Dynamics of Multibody Systems
• Computational Continuum Mechanics

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