Journal ArticleDOI
Stabilization of constraints and integrals of motion in dynamical systems
J. Baumgarte,J. Baumgarte +1 more
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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
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Modeling, simulation and control of redundantly actuated parallel manipulators
TL;DR: In this paper, a unified approach for modeling and actuation of redundantly actuated parallel manipulators is proposed, taking advantage of the actuator redundancy principles and thus allowing for following trajectories that contain parallel (force) singularities, and for eliminating the negative effect of the latter.
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A review of flexible multibody dynamics for gradient-based design optimization
TL;DR: In this paper, the authors summarized different formulations of the equations of motion of flexible multibody dynamics and applied them to different applications, and showed that the increased implementation effort of analytical sensitivity analysis is rewarded with high computational efficiency.
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Predictive Forward Dynamic Simulation of Manual Wheelchair Propulsion on a Rolling Dynamometer.
Colin Brown,John McPhee +1 more
TL;DR: A two-dimensional model to generate first of its kind forward dynamic fully predictive computer simulations of a wheelchair basketball athlete on a stationary ergometer demonstrates that fully predictive simulations of wheelchair propulsion have the potential of varying simulation parameters to draw meaningful conclusions.
Journal ArticleDOI
Convergence of multistep discretizations of DAEs
TL;DR: It is concluded that the most useful discretizations are those that avoid discretization of the constraint and a freer use of e.g. explicit methods for the non-stiff differential part of the DAE is then possible.
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New Collocation Integrator for Solving Dynamic Problems. I. Theoretical Background
TL;DR: In this paper, a new collocation integrator with Lobatto spacings was proposed for numerical solving mixed systems of first and second-order differential equations for dynamic problems, and the general theory of collocations was outlined from which the basic formulas of the new integrator were derived.
References
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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.