The numerical influence of additional parameters of inertia representations for quaternion-based rigid body dynamics
type: Item
instance of: scholarly article
title: The numerical influence of additional parameters of inertia representations for quaternion-based rigid body dynamics
zbMATH Open document ID: 1456.70007
author: Jiahui Luo
author: Xiaoming Xu
author: Zhi-Gang Wu
published in: Multibody System Dynamics
publication date: 2020-08-07T00:00:00Z
Mathematics Subject Classification ID: 70E15
zbMATH DE Number: 7229546
zbMATH Keywords: unit quaternion
zbMATH Keywords: rigid body dynamics
zbMATH Keywords: mass matrix
zbMATH Keywords: singularity
zbMATH Keywords: high accuracy
zbMATH Keywords: conserving integrations
MaRDI profile type: Publication
full work available at URL: s11044-019-09697-x
OpenAlex ID: W2972814050
cites work: On the rotational equations of motion in rigid body dynamics when using Euler parameters
cites work: Rigid body dynamics in terms of quaternions: Hamiltonian formulation and conserving numerical integration
cites work: Rigid body dynamics with a scalable body, quaternions and perfect constraints
cites work: Hoberman's sphere, Euler parameters and Lagrange's equations
cites work: Conservative integration of rigid body motion by quaternion parameters with implicit constraints
cites work: Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
cites work: Mechanical integrators derived from a discrete variational principle
cites work: Galerkin Lie-group variational integrators based on unit quaternion interpolation
cites work: A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions
cites work: Specialized Partitioned Additive Runge–Kutta Methods for Systems of Overdetermined DAEs with Holonomic Constraints
cites work: Geometric Numerical Integration
cites work: Conservative rigid body dynamics by convected base vectors with implicit constraints
cites work: Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
cites work: Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems
DOI: 10.1007/S11044-019-09697-X
description: scientific article; zbMATH DE number 7229546