Multibody formalism for real-time application using natural coordinates and modified state space
type: Item
instance of: scholarly article
title: Multibody formalism for real-time application using natural coordinates and modified state space
zbMATH Open document ID: 1120.70009
published in: Multibody System Dynamics
publication date: 2007-06-07T00:00:00Z
review text: A new formalism of multibody system based on natural coordinates and modified state space is proposed for real-time application. The complex systems with closed loops are described by differential-algebraic equations. The proposed formalism provides stable solutions without necessity of iterations, and consists of matrices with simple elements, which are suitable for massive parallelization. The resulting computational complexity depends only on the degrees of freedom despite any occurrence of kinematical loops. Two simulation examples are given.
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 5162161
zbMATH Keywords: parallel algorithms
zbMATH Keywords: closed loops
zbMATH Keywords: differential-algebraic equations
author: Michael Valášek
author: Zbyněk Šika
author: Ondřej VaculÍn
reviewed by: Yan-Zhu Liu
describes a project that uses: veDYNA
MaRDI profile type: Publication
full work available at URL: s11044-007-9042-x
OpenAlex ID: W1989339083
cites work: DAE time integration for real-time applications in multi-body dynamics
cites work: Variational approaches for dynamics and time-finite-elements: Numerical studies
cites work: Stabilization of constraints and integrals of motion in dynamical systems
DOI: 10.1007/S11044-007-9042-X
description: scientific article; zbMATH DE number 5162161