Lie group methods for rigid body dynamics and time integration on manifolds

From MaRDI portal
Publication:1870985

DOI10.1016/S0045-7825(02)00520-0zbMath1018.70007OpenAlexW2033760732WikidataQ115339837 ScholiaQ115339837MaRDI QIDQ1870985

Elena Celledoni, Brynjulf Owren

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00520-0




Related Items (27)

Shape analysis on Lie groups with applications in computer animationLie group integrators for mechanical systemsStochastic Runge-Kutta–Munthe-Kaas Methods in the Modelling of Perturbed Rigid BodiesSingularity-free time integration of rotational quaternions using non-redundant ordinary differential equationsHigh-order symplectic partitioned Lie group methodsValidation of flexible multibody dynamics beam formulations using benchmark problemsConstitutive and geometric nonlinear models for the seismic analysis of RC structures with energy dissipatorsA note on the motion representation and configuration update in time stepping schemes for the constrained rigid bodyDAE Aspects of Multibody System DynamicsMotor parameterizationWaveform Relaxation Methods for Lie-Group EquationsLie group quaternion attitude-reconstruction of quadrotor UAVScrew and Lie group theory in multibody dynamicsEvolution equation of Lie-type for finite deformations, time-discrete integration, and incremental methodsGalerkin Lie-group variational integrators based on unit quaternion interpolationGeometric methods and formulations in computational multibody system dynamicsLie group spectral variational integratorsOn the choice of configuration space for numerical Lie group integration of constrained rigid body systemsStrapdown inertial navigation system algorithms based on geometric algebraPreserving Poisson structure and orthogonality in numerical integration of differential equationsSensitivity analysis for dynamic mechanical systems with finite rotationsAn introduction to Lie group integrators - basics, new developments and applicationsDynamically equivalent implicit algorithms for the integration of rigid body rotationsError analysis of generalized-\(\alpha\) Lie group time integration methods for constrained mechanical systemsTime integration of rigid bodies modelled with three rotation parametersGroup-Valued Regularization for Motion Segmentation of Articulated ShapesLie-group integration method for constrained multibody systems in state space



Cites Work


This page was built for publication: Lie group methods for rigid body dynamics and time integration on manifolds