Geometrically exact beam finite element formulated on the special Euclidean group \(SE(3)\)

From MaRDI portal
Publication:741937

DOI10.1016/j.cma.2013.10.008zbMath1295.74050OpenAlexW2132720004MaRDI QIDQ741937

Valentin Sonneville, Olivier Brüls, Alberto Cardona

Publication date: 16 September 2014

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.2013.10.008




Related Items (41)

A geometrically exact discrete elastic rod model based on improved discrete curvatureValidation of flexible multibody dynamics beam formulations using benchmark problemsScrew and Lie group theory in multibody kinematics. Motion representation and recursive kinematics of tree-topology systemsImportance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebraManipulation of motion via dual entitiesAnalysis of static frictionless beam-to-beam contact using mortar methodIsogeometric collocation for implicit dynamics of three-dimensional beams undergoing finite motionsA discrete, geometrically exact method for simulating nonlinear, elastic and inelastic beamsNumerical modeling of inextensible elastic ribbons with curvature-based elementsA monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of \textit{C. elegans} locomotionSimulation of viscoelastic Cosserat rods based on the geometrically exact dynamics of special Euclidean strandsAn equilibrium‐based formulation with nonlinear configuration dependent interpolation for geometrically exact 3D beamsA novel four-field mixed FE approximation for Kirchhoff rods using Cartan's moving framesA total Lagrangian, objective and intrinsically locking‐free Petrov–Galerkin SE(3) Cosserat rod finite element formulationTwo-field formulation of the inertial forces of a geometrically-exact beam elementStructure‐preserving invariant interpolation schemes for invertible second‐order tensorsA novel motion-reconstruction method for inertial sensors with constraintsImpulse-based substructuring in a floating frame to simulate high frequency dynamics in flexible multibody dynamicsMomentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on \(SE(3)\)A beam contact benchmark with analytic solutionA contact formulation using local frame of \(SE(3)\) group for corotational beam against rigid solid via moving signed distance fieldScrew and Lie group theory in multibody dynamicsModeling viscoelastic behavior in flexible multibody systemsA locking-free finite element formulation and reduced models for geometrically exact Kirchhoff rodsGeometrically exact thin-walled beam including warping formulated on the special Euclidean group \(SE(3)\)On the global interpolation of motionExplicit isogeometric collocation for the dynamics of three-dimensional beams undergoing finite motionsDiscrete Cosserat rod kinematics constructed on the basis of the difference geometry of framed curves -- Part I. Discrete Cosserat curves on a staggered gridA geometric optimization method for the trajectory planning of flexible manipulatorsSystem-based approaches for structural optimization of flexible mechanismsA low order, torsion deformable spatial beam element based on the absolute nodal coordinate formulation and Bishop frameModal reduction procedures for flexible multibody dynamicsSpectral collocation methods for the periodic solution of flexible multibody dynamicsThe equations of motion for a rigid body using non-redundant unified local velocity coordinatesA finite element approach for the line-to-line contact interaction of thin beams with arbitrary orientationA unified approach for beam-to-beam contactSystem-wise equivalent static loads for the design of flexible mechanismsVelocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibilityA mortar formulation for frictionless line-to-line beam contactA Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam modelOn conservation of energy and kinematic compatibility in dynamics of nonlinear velocity-based three-dimensional beams


Uses Software


Cites Work


This page was built for publication: Geometrically exact beam finite element formulated on the special Euclidean group \(SE(3)\)