Beam \(p\)-version finite element for geometrically nonlinear vibrations in space

DOI10.1016/j.cma.2005.02.008zbMath1115.74049OpenAlexW2171653016MaRDI QIDQ2372327

Yanyan Li

Publication date: 26 July 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2005.02.008

zbMATH Keywords

principle of virtual workNewmark methodhierarchical finite element

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)

Related Items (1)

Non-linear oscillations of a thin-walled composite beam with shear deformation

Cites Work

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• On the dynamics in space of rods undergoing large motions - A geometrically exact approach
• Beam elements in instability problems
• Large-deformation analysis of flexible beams
• Finite element theory for curved and twisted beams based on exact solutions for three-dimensional solids. I: Beam concept and geometrically exact nonlinear formulation. II: Anisotropic and advanced beam models
• Hierarchic models for laminated plates and shells
• On the inclusion principle for the hierarchical finite element method
• Nonlinear Beam Kinematics by Decomposition of the Rotation Tensor
• Introduction to Finite Element Vibration Analysis
• Dynamic response and instability of frame structures

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