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Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Finite rotations in dynamics of beams and implicit time-stepping schemes
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Simo-Vu Quoc rods using Clifford algebra
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A beam finite element non‐linear theory with finite rotations
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A three‐dimensional non‐linear Timoshenko beam based on the core‐congruential formulation
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Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
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An energy‐momentum method for in‐plane geometrically exact Euler–Bernoulli beam dynamics
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An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy–momentum conserving scheme in dynamics
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Frame‐indifferent beam finite elements based upon the geometrically exact beam theory
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Invariant Dissipative Mechanisms for the Spatial Motion of Rods Suggested by Artificial Viscosity
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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
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Flexible Multibody Dynamics
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Quaternions and Cayley Numbers
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A non-linear beam space-time finite element formulation using quaternion algebra: interpolation of the Lagrange multipliers and the appearance of spurious modes
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On finite deformations of space-curved beams
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Numerical integration of ordinary differential equations on manifolds
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Discrete variational Lie group formulation of geometrically exact beam dynamics
inferredcites →https://doi.org/10.1007/s00466-004-0559-zopenalex-snapshot
The interpolation of rotations and its application to finite element models of geometrically exact rods
inferredcites →https://doi.org/10.1007/s00466-012-0703-0openalex-snapshot
Dynamics of spatial beams in quaternion description based on the Newmark integration scheme
inferredcites →https://doi.org/10.1007/s00707-013-0824-3openalex-snapshot
On a virtual work consistent three-dimensional Reissner–Simo beam formulation using the quaternion algebra
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Multi-body dynamics simulation of geometrically exact Cosserat rods
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Interpolation of rotation and motion
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Nonlinear three-dimensional beam theory for flexible multibody dynamics
inferredcites →https://doi.org/10.1016/0045-7825(85)90050-7openalex-snapshot
A finite strain beam formulation. The three-dimensional dynamic problem. Part I
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A three-dimensional finite-strain rod model. part II: Computational aspects
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On the dynamics in space of rods undergoing large motions — A geometrically exact approach
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A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements
inferredcites →https://doi.org/10.1016/0045-7825(93)90040-5openalex-snapshot
Large rotations revisited application of Lie algebra
inferredcites →https://doi.org/10.1016/0045-7825(94)00056-sopenalex-snapshot
A kinematically exact space finite strain beam model — finite element formulation by generalized virtual work principle
inferredcites →https://doi.org/10.1016/0045-7825(95)00724-fopenalex-snapshot
On finite element implementation of geometrically nonlinear Reissner's beam theory: three-dimensional curved beam elements
inferredcites →https://doi.org/10.1016/0045-7825(96)01030-4openalex-snapshot
Energy decaying scheme for non-linear beam models
inferredcites →https://doi.org/10.1016/0168-9274(95)00115-8openalex-snapshot
Analysis and implementation of TR-BDF2
inferredcites →https://doi.org/10.1016/j.apnum.2012.06.011openalex-snapshot
Numerical aspects in the dynamic simulation of geometrically exact rods
inferredcites →https://doi.org/10.1016/j.cma.2003.07.008openalex-snapshot
Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures
inferredcites →https://doi.org/10.1016/j.cma.2006.10.012openalex-snapshot
Energy conserving time integration scheme for geometrically exact beam
inferredcites →https://doi.org/10.1016/j.cma.2008.09.004openalex-snapshot
Consistent quaternion interpolation for objective finite element approximation of geometrically exact beam
inferredcites →https://doi.org/10.1016/j.cma.2009.09.002openalex-snapshot
The quaternion-based three-dimensional beam theory
inferredcites →https://doi.org/10.1016/j.cma.2013.10.008openalex-snapshot
Geometrically exact beam finite element formulated on the special Euclidean group
inferredcites →https://doi.org/10.1016/j.cma.2013.11.007openalex-snapshot
A consistent 3D corotational beam element for nonlinear dynamic analysis of flexible structures
inferredcites →https://doi.org/10.1016/j.compstruc.2007.05.036openalex-snapshot
A nonlinear beam element formulation in the framework of an energy preserving time integration scheme for constrained multibody systems dynamics
inferredcites →https://doi.org/10.1016/j.finel.2012.01.007openalex-snapshot
Quaternion-based dynamics of geometrically nonlinear spatial beams using the Runge–Kutta method
inferredcites →https://doi.org/10.1016/j.finel.2014.10.003openalex-snapshot
Explicit symplectic momentum-conserving time-stepping scheme for the dynamics of geometrically exact rods
inferredcites →https://doi.org/10.1016/j.finel.2015.02.001openalex-snapshot
Modified fixed-pole approach in geometrically exact spatial beam finite elements
inferredcites →https://doi.org/10.1016/j.ijnonlinmec.2014.08.011openalex-snapshot
Decaying/conserving implicit scheme and non-linear instability analysis of 2D frame structures
inferredcites →https://doi.org/10.1016/j.ijsolstr.2012.03.033openalex-snapshot
Kinematically exact curved and twisted strain-based beam
inferredcites →https://doi.org/10.1016/j.mechmachtheory.2011.07.017openalex-snapshot
Lie group generalized-α time integration of constrained flexible multibody systems
inferredcites →https://doi.org/10.1016/s0045-7825(01)00352-8openalex-snapshot
Co-rotational beam elements with warping effects in instability problems
inferredcites →https://doi.org/10.1016/s0045-7825(02)00377-8openalex-snapshot
Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations
inferredcites →https://doi.org/10.1016/s0045-7825(96)01161-9openalex-snapshot
Energy preserving/decaying schemes for non-linear beam dynamics using the helicoidal approximation
inferredcites →https://doi.org/10.1016/s0045-7825(97)00059-5openalex-snapshot
On the choice of finite rotation parameters
inferredcites →https://doi.org/10.1016/s0045-7825(98)00249-7openalex-snapshot
Geometrically exact 3D beam theory: implementation of a strain-invariant finite element for statics and dynamics
inferredcites →https://doi.org/10.1023/a:1021257410404openalex-snapshot
Dynamics of Geometrically Nonlinear Rods: II. Numerical Methods and Computational Examples
inferredcites →https://doi.org/10.1023/a:1024265401576openalex-snapshot
The Vectorial Parameterization of Rotation
inferredcites →https://doi.org/10.1023/b:elas.0000005549.19254.17openalex-snapshot
Invariant Dissipative Mechanisms for the Spatial Motion of Rods Suggested by Artificial Viscosity
inferredcites →https://doi.org/10.1023/b:mubo.0000014901.06757.bbopenalex-snapshot
Energy Preserving Time Integration for Constrained Multibody Systems
inferredcites →https://doi.org/10.1090/qam/667026openalex-snapshot
Kirchhoff’s problem for nonlinearly elastic rods
inferredcites →https://doi.org/10.1098/rspa.1999.0352openalex-snapshot
Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
inferredcites →https://doi.org/10.1098/rsta.1997.0113openalex-snapshot
Elastic rods, rigid bodies, quaternions and the last quadrature
inferredcites →https://doi.org/10.1137/s0036142997326616openalex-snapshot
Collocation and Relaxed Collocation for the Fer and the Magnus Expansions
inferredcites →https://doi.org/10.1243/14644193jmbd155openalex-snapshot
Interpolation of finite rotations in flexible multi-body dynamics simulations
inferredcites →https://doi.org/10.2514/1.40556openalex-snapshot
Geometrically Exact, Intrinsic Theory for Dynamics of Curved and Twisted Anisotropic Beams
inferredcites →https://doi.org/10.2514/2.2054openalex-snapshot
Geometrically Exact, Intrinsic Theory for Dynamics of Curved and Twisted Anisotropic Beams
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/nme.6860openalex-snapshot
Simulation of viscoelastic Cosserat rods based on the geometrically exact dynamics of special Euclidean strands
inferred← citeshttps://doi.org/10.1007/978-3-031-50631-4_28openalex-snapshot
On the Velocity-Based Description in Dynamic Analysis of Three-Dimensional Beams
inferred← citeshttps://doi.org/10.1007/s00466-020-01826-0openalex-snapshot
A consistent strain-based beam element with quaternion representation of rotations
inferred← citeshttps://doi.org/10.1007/s10659-017-9656-zopenalex-snapshot
Importance and Effectiveness of Representing the Shapes of Cosserat Rods and Framed Curves as Paths in the Special Euclidean Algebra
inferred← citeshttps://doi.org/10.1007/s11044-021-09807-8openalex-snapshot
A Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam model
inferred← citeshttps://doi.org/10.1007/s11071-018-4634-yopenalex-snapshot
On conservation of energy and kinematic compatibility in dynamics of nonlinear velocity-based three-dimensional beams
inferred← citeshttps://doi.org/10.1016/j.compstruc.2024.107464openalex-snapshot
Analyzing material softening and strain localisation through embedded strong discontinuity approach within velocity-based beam formulation
inferred← citeshttps://doi.org/10.1016/j.energy.2025.138791openalex-snapshot
Nonlinear dynamic response of long flexible wind turbine blades based on intrinsic geometrically exact theory
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2023.112292openalex-snapshot
Path following using velocity-based approach in quasi-static analysis
inferred← citeshttps://doi.org/10.1016/j.mechmachtheory.2021.104429openalex-snapshot
A modular approach for dynamic modeling of multisegment continuum robots
inferred← citeshttps://doi.org/10.1016/j.renene.2025.124581openalex-snapshot
Nonlinear aeroelastic performance in 5 MW and 15 MW wind turbine blades using intrinsic geometrically exact method
inferred← citeshttps://doi.org/10.1061/jsendh.steng-13711openalex-snapshot
Static and Dynamic Analysis of Material and Geometrically Nonlinear Frame-Like Structures with Softening
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