Development of an efficient calculation procedure for elastic forces in the ANCF beam element by using a constrained formulation

DOI10.1007/s11044-017-9594-3zbMath1425.74261OpenAlexW2760843581MaRDI QIDQ1789443

Masahiro Watanabe, Kensuke Hara

Publication date: 10 October 2018

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

Full work available at URL: https://doi.org/10.1007/s11044-017-9594-3

zbMATH Keywords

Euler-Bernoulli beamabsolute nodal coordinate formulationelastic forcecanonical theoryconstrained formulation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

An overview of the ANCF approach, justifications for its use, implementation issues, and future research directions ⋮ Efficiency improvement on the ANCF cable element by using the dot product form of curvature ⋮ Efficient computational approaches for analysis of thin and flexible multibody structures ⋮ A high-precision curvature constrained Bernoulli-Euler planar beam element for geometrically nonlinear analysis

Cites Work

• Unnamed Item
• Reduction of system matrices of planar beam in ANCF by component mode synthesis method
• A new locking-free formulation for planar, shear deformable, linear and quadratic beam finite elements based on the absolute nodal coordinate formulation
• A new locking-free shear deformable finite element based on absolute nodal coordinates
• A geometrically exact beam element based on the absolute nodal coordinate formulation
• Equivalence of the floating frame of reference approach and finite element formulations
• Generalization of plate finite elements for absolute nodal coordinate formulation
• Study of the centrifugal stiffening effect using the finite element absolute nodal coordinate formulation
• Strain tensors in the absolute nodal coordinate and the floating frame of reference formulation
• Definition of the elastic forces in the finite element absolute nodal coordinate formulation and the floating frame of reference formulation
• A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications
• Component mode synthesis with constant mass and stiffness matrices applied to flexible multibody systems
• Geometric non-linear substructuring for dynamics of flexible mechanical systems

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