Simo-Vu Quoc rods using Clifford algebra
From MaRDI portal
Publication:4267146
DOI<377::AID-NME586>3.0.CO;2-P 10.1002/(SICI)1097-0207(19990610)45:4<377::AID-NME586>3.0.CO;2-PzbMath0940.74081OpenAlexW2094169706MaRDI QIDQ4267146
Publication date: 21 November 1999
Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990610)45:4<377::aid-nme586>3.0.co;2-p
quaternionsClifford algebrageometric algebralarge rotationsdifferential topologyLie group SO(3)Lie algebra so(3)Simo and Vu Quoc's algorithm
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Clifford algebras, spinors (15A66) Numerical and other methods in solid mechanics (74S99)
Related Items (22)
A survey of geometric algebra and geometric calculus ⋮ On a virtual work consistent three-dimensional Reissner-Simo beam formulation using the quaternion algebra ⋮ Stability of elastic rods with self-contact ⋮ A consistent strain-based beam element with quaternion representation of rotations ⋮ A weak form quadrature element formulation of geometrically exact shells incorporating drilling degrees of freedom ⋮ Dynamics of spatial beams in quaternion description based on the Newmark integration scheme ⋮ Director-based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates ⋮ An energy-momentum method for in-plane geometrically exact Euler-Bernoulli beam dynamics ⋮ The integration of angular velocity ⋮ A quaternion-based formulation of Euler-Bernoulli beam without singularity ⋮ An energy conserving numerical scheme for the dynamics of hyperelastic rods ⋮ Consistent quaternion interpolation for objective finite element approximation of geometrically exact beam ⋮ The quaternion-based three-dimensional beam theory ⋮ Modeling viscoelastic behavior in flexible multibody systems ⋮ Self-contact modeling on beams experiencing loop formation ⋮ Multidimensional coupling: a variationally consistent approach to fiber-reinforced materials ⋮ Dynamics of 3D sliding beams undergoing large overall motions ⋮ Modal reduction procedures for flexible multibody dynamics ⋮ A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization ⋮ Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility ⋮ An asymptotic numerical method for continuation of spatial equilibria of special Cosserat rods ⋮ On 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: Simo-Vu Quoc rods using Clifford algebra
