Journal ArticleDOI
Stabilization of constraints and integrals of motion in dynamical systems
J. Baumgarte,J. Baumgarte +1 more
Reads0
Chats0
TLDR
In this article, it is shown how the analytical relations can be satisfied in a stabilized manner in order to improve the numerical accuracy of the solution of the differential equations, which leads to a modified differential system which is often stable in the sense of Ljapunov.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1972-06-01. It has received 1429 citations till now. The article focuses on the topics: Numerical partial differential equations & Delay differential equation.read more
Citations
More filters
Journal ArticleDOI
Time integration of the equations of motion in mechanism analysis
Alberto Cardona,Michel Géradin +1 more
TL;DR: In this paper, the formulation of time integration algorithms for mechanism analysis problems is discussed, and the treatment of constraints and of the finite rotation associated terms are considered. But, it is shown that in order to time integrate constrained systems, the algorithmic damping at infinite frequency is of utmost importance.
Journal ArticleDOI
Two Methods of Simulator Coupling
R. Kübler,Werner Schiehlen +1 more
TL;DR: Numerical results of the modular simulation of a multibody system are presented and two methods of simulator coupling which guarantee stability for general systems including algebraic loops are introduced.
Journal ArticleDOI
A comprehensive model for human motion simulation and its application to the take-off phase of the long jump.
TL;DR: A mathematical model is presented which makes it possible to simulate complex motions of a 17-segment hominoid and not only fully accounts for the dynamics of the executor (skeletal) subsystem but also simulates in detail the intricately controlled internal excitation and contraction Dynamics of the myoactuator (muscular) sybsystem.
Journal ArticleDOI
Theoretical and numerical analysis of differential-algebraic equations
Proceedings ArticleDOI
Using multiple cues for hand tracking and model refinement
TL;DR: A model based approach to the integration of multiple cues for tracking high degree of freedom articulated motions and model refinement is presented and applied to the problem of hand tracking using a single camera sequence.
References
More filters
Journal ArticleDOI
Numerical stabilization of the differential equations of Keplerian motion
J. Baumgarte,J. Baumgarte +1 more
TL;DR: In this article, a stabilization of the classical equations of two-body motion is offered, characterized by the use of the regularizing independent variable (eccentric anomaly) and by the addition of a control-term to the differential equations.