Efficient formulation for dynamics of corotational 2D beams

DOI10.1007/s00466-011-0585-6zbMath1398.74195OpenAlexW2041327694MaRDI QIDQ657185

Thanh-Nam Le, Mohammed Hjiaj, Jean-Marc Battini

Publication date: 16 January 2012

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-011-0585-6

zbMATH Keywords

2D beam elementCorotational formulationNonlinear dynamic analysis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (12)

Nonlinear model order reduction for flexible multibody dynamics: a modal derivatives approach ⋮ A modal derivatives enhanced Rubin substructuring method for geometrically nonlinear multibody systems ⋮ Simplified analytical method for optimized initial shape analysis of self-anchored suspension bridges and its verification ⋮ A high-precision co-rotational formulation of 3D beam elements for dynamic analysis of flexible multibody systems ⋮ A <scp>two‐dimensional</scp> corotational curved beam element for dynamic analysis of curved viscoelastic beams with large deformations and rotations ⋮ Numerical modeling of fluid-structure-piezoelectric interaction for energy harvesting ⋮ A contact formulation using local frame of \(SE(3)\) group for corotational beam against rigid solid via moving signed distance field ⋮ A consistent 3D corotational beam element for nonlinear dynamic analysis of flexible structures ⋮ A corotational formulation based on Hamilton's principle for geometrically nonlinear thin and thick planar beams and frames ⋮ Dynamics of 3D sliding beams undergoing large overall motions ⋮ Geometrically nonlinear dynamic formulation for three-dimensional co-rotational solid elements ⋮ Simulation of Fluid–Structure Interaction Problems with Thin Elastic Plate via the Coupling of Finite Element and Lattice Boltzmann Methods

Cites Work

• Dynamics of 3-D co-rotational beams
• On locking-free shear deformable beam finite elements
• Co-rotational dynamic analysis of flexible beams
• A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams
• Nonlinear dynamic analysis of frame structures
• A co-rotational formulation for nonlinear dynamic analysis of curved euler beam
• Corotational finite element analysis of planar flexible multibody systems
• Large deformations of framed structures under static and dynamic loads
• AN ENERGY-CONSERVING CO-ROTATIONAL PROCEDURE FOR THE DYNAMICS OF PLANAR BEAM STRUCTURES
• Dynamic analysis of planar flexible beams with finite rotations by using inertial and rotating frames
• Dynamic response and instability of frame structures

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