An efficient recursive rotational-coordinate-based formulation of a planar Euler-Bernoulli beam

DOI10.1007/s11044-021-09783-zzbMath1490.74065OpenAlexW3133928172MaRDI QIDQ2049689

Yanyan Li

Publication date: 27 August 2021

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

Full work available at URL: https://doi.org/10.1007/s11044-021-09783-z

zbMATH Keywords

efficient computationanalytical derivation\(O(N)\) complexityminimum generalized coordinatesrecursive rotational-coordinate-based formulation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• Unnamed Item
• Interpolation of rotation and motion
• Dynamics of a large scale rigid-flexible multibody system composed of composite laminated plates
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• An efficient implementation of the recursive approach to flexible multibody dynamics
• Modeling and simulation of structural components in recursive closed-loop multibody systems
• A recursive formulation for flexible multibody dynamics. I: Open-loop systems
• Definition of the elastic forces in the finite element absolute nodal coordinate formulation and the floating frame of reference formulation
• A referenced nodal coordinate formulation
• A recursive formulation for flexible multibody dynamics. II: Closed loop systems
• The MATLAB ODE Suite
• Computational Continuum Mechanics

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