An implicit multistage integration method including projection for the numerical simulation of constrained multibody systems
type: Item
instance of: scholarly article
title: An implicit multistage integration method including projection for the numerical simulation of constrained multibody systems
zbMATH Open document ID: 0916.70003
DOI: 10.1023/A:1009742111828
author: P. Dehombreux
author: Olivier Verlinden
author: Calogero Conti
published in: Multibody System Dynamics
publication date: 1999-07-08T00:00:00Z
review text: The authors consider the equations of motion of a constrained holonomic multibody system, and investigate direct integration schemes for the generalized velocities and coordinates. They discuss the stability of a number of methods of numerical solution and obtain third-order accuracy with a two-stage Runge-Kutta method, giving conditions for its stability. It is pointed out that it is necessary to use constraint equations, otherwise the discretisation results in physically meaningless solutions, and a discussion is given of possible types of constraints.
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70E15
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 1219626
zbMATH Keywords: direct integration schemes
zbMATH Keywords: numerical stability
zbMATH Keywords: third-order accuracy
zbMATH Keywords: two-stage Runge-Kutta method
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1219626