Dynamically equivalent implicit algorithms for the integration of rigid body rotations

Two midpoint‐trapezoid pairs of dynamically equivalent (conjugate) algorithms are derived as compositions of first‐order forward Euler and backward Euler integrators as applied to an incremental form of the initial‐value problem of three‐dimensional rigid body rotation. The algorithms are related to...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in numerical methods in engineering Jg. 24; H. 2; S. 141 - 156
1. Verfasser: Krysl, P.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.02.2008
Wiley
Schlagworte:
angular momentum conservation
composition of maps
Computational techniques
dynamic equivalence
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
midpoint rule
Munthe-Kaas Runge-Kutta methods
Physics
rigid body dynamics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
symplectic
time integration
trapezoidal rule
Rigid bodies
Munthe- Kaas Runge-Kutta methods
Numerical integration
Initial value problem
Three body system
Solid dynamic
angular momentum conservation
midpoint rule
Runge Kutta method
Long term
Modeling
Conservation law
Time domain method
symplectic
trapezoidal rule
Angular momentum
Trapezoidal method
Integrator
dynamic equivalence
Time integration
rigid body dynamics
composition of maps
ISSN:1069-8299, 1099-0887
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Two midpoint‐trapezoid pairs of dynamically equivalent (conjugate) algorithms are derived as compositions of first‐order forward Euler and backward Euler integrators as applied to an incremental form of the initial‐value problem of three‐dimensional rigid body rotation. The algorithms are related to the recently developed methodology of the so‐called Munthe‐Kaas Runge–Kutta methods. Selected examples are used to illustrate the excellent long‐term integration properties. Copyright © 2006 John Wiley & Sons, Ltd.
Bibliographie:ArticleID:CNM963
istex:6DF4A961D584B601E83358D7DFE44FAD947297E0
ark:/67375/WNG-W9PSX0MQ-9
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1069-8299
1099-0887
DOI:10.1002/cnm.963