Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam (Q2072708)

scientific article; zbMATH DE number 7464739

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English	Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam	scientific article; zbMATH DE number 7464739

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instance of

scholarly article

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title

Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam (English)

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author

Yanyan Li

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published in

Computer Methods in Applied Mechanics and Engineering

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publication date

26 January 2022

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full work available at URL

https://arxiv.org/abs/2109.10003

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zbMATH Keywords

spatial Bernoulli-Euler beam

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strongly curved beams

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geometrically exact analysis

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analytical constitutive relation

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MaRDI profile type

Publication

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cites work

Kirchhoff's theory of rods

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On finite deformations of space-curved beams

0 references

A finite strain beam formulation. The three-dimensional dynamic problem. I

0 references

A three-dimensional finite-strain rod model. II. Computational aspects

0 references

A beam finite element non-linear theory with finite rotations

0 references

On the dynamics in space of rods undergoing large motions - A geometrically exact approach

0 references

On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams

0 references

On finite element implementation of geometrically nonlinear Reissner's beam theory: Three-dimensional curved beam elements

0 references

On the choice of finite rotation parameters

0 references

Q4338955

0 references

Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation

0 references

Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics

0 references

A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization

0 references

The interpolation of rotations and its application to finite element models of geometrically exact rods

0 references

On a virtual work consistent three-dimensional Reissner-Simo beam formulation using the quaternion algebra

0 references

A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams

0 references

A consistent 3D corotational beam element for nonlinear dynamic analysis of flexible structures

0 references

A large rotation finite element analysis of 3D beams by incremental rotation vector and exact strain measure with all the desirable features

0 references

On a geometrically exact curved/twisted beam theory under rigid cross-section assumption

0 references

Invariant Hermitian finite elements for thin Kirchhoff rods. I: The linear plane case

0 references

Invariant Hermitian finite elements for thin Kirchhoff rods. II: The linear three-dimensional case

0 references

Dynamics of geometrically nonlinear rods. I: Mechanical models and equations of motion

0 references

An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods

0 references

A locking-free finite element formulation and reduced models for geometrically exact Kirchhoff rods

0 references

A unified approach for beam-to-beam contact

0 references

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

0 references

Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams

0 references

Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature

0 references

Isogeometric collocation methods for Cosserat rods and rod structures

0 references

Isogeometric collocation for implicit dynamics of three-dimensional beams undergoing finite motions

0 references

A total Lagrangian Timoshenko beam formulation for geometrically nonlinear isogeometric analysis of spatial beam structures

0 references

A geometrically exact isogeometric beam for large displacements and contacts

0 references

Isogeometric configuration design sensitivity analysis of geometrically exact shear-deformable beam structures

0 references

An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors

0 references

Isogeometric rotation-free bending-stabilized cables: statics, dynamics, bending strips and coupling with shells

0 references

B-spline interpolation of Kirchhoff-Love space rods

0 references

An implicit \(G^1\) multi patch B-spline interpolation for Kirchhoff-Love space rod

0 references

An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods

0 references

Consistent tangent operator for an exact Kirchhoff rod model

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Nonlinear isogeometric spatial Bernoulli beam

0 references

Geometrically nonlinear multi-patch isogeometric analysis of spatial Euler-Bernoulli beam structures

0 references

A non-linear symmetric \(\mathrm{G}^1\)-conforming Bézier finite element formulation for the analysis of Kirchhoff beam assemblies

0 references

Invariant isogeometric formulation for the geometric stiffness matrix of spatial curved Kirchhoff rods

0 references

On the geometrically exact formulations of finite deformable isogeometric beams

0 references

Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam

0 references

On the analytical approach to the linear analysis of an arbitrarily curved spatial Bernoulli-Euler beam

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Mechanics of Structural Elements

0 references

Isogeometric analysis of plane-curved beams

0 references

Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam

0 references

Q4845054

0 references

Parametrization of finite rotations in computational dynamics: a review

0 references

Invariant isogeometric formulations for three-dimensional Kirchhoff rods

0 references

On the differentiation of the Rodrigues formula and its significance for the vector‐like parameterization of Reissner–Simo beam theory

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Large-deformation analysis of flexible beams

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CMA.2021.114447

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Sitelinks

Mathematics(1 entry)

mardi Publication:2072708