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Communication Dans Un Congrès Année : 1998

Introduction of baumgarte stabilisation schemas into the multibond graph representation

W. Favre
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Résumé

In this paper we propose to introduce the corrector schemas corresponding to the Baumgarte stabilization into bond graph language. In a mechanical context, the Baumgarte stabilization method aims at controlling the violation of constraints present in a system. This corresponds to a regulation process of the constraints with respect to the numerical perturbations. These perturbations stem from slight errors in initial conditions and/or the propagation of round-off errors occurring during integration. In order to incorporate the Baumgarte stabilization method we add a block diagram to the bond graph. It consists of a PID corrector in the case of holonomic constraint equations (figure A) and a PD corrector in the case of non-holonomic constraint equations (figure B). First we present roughly the Baumgarte stabilization theory. Then we propose to augment the multibond graph representation with a block diagram in which the stabilization schemas, respectively for holonomic and non-holonomic constraint equations, are included. Coupling the block diagram to the multibond graph representation reveals to be an attractive way of synthesizing the use of the Baumgarte stabilisation method. Finally we illustrate this with the academic example of a pendulum. This underlines the role of this method in a strategy of modelisation with a view to simulation and the equation generation mechanism.
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Dates et versions

hal-02065216 , version 1 (12-03-2019)

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  • HAL Id : hal-02065216 , version 1

Citer

W. Favre, S. Scavarda. Introduction of baumgarte stabilisation schemas into the multibond graph representation. CESA'98, IMACS Multiconference, Computational Engineering in Systems Applications, Apr 1998, Hammamet, Tunisia. pp.278-282. ⟨hal-02065216⟩
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