Modelling the dynamics and kinematics of mechanical systems with multibond graphs

M.J.L. Tiernego, A.M. Bos

Research output: Contribution to journalArticleAcademic

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Abstract

A method to model mechanical systems with multibond graphs is described. The method is based on the description of the vector velocity relation of a moving point in a rotating system. This relation is incorporated in a bond graph. Since bond graphs are based on the power conserving concept, the force or momenta relations are then available too. By repeating the same bond graph structure for every point (which is of interest within a chosen coordinate frame), where each point has the same rotational velocity, a systematic way of modelling mechanical systems is achieved. It is explained how connected mechanical linkages have to be handled. Two simple examples are given.
Original languageEnglish
Pages (from-to)37-50
JournalJournal of the Franklin Institute
Volume319
Issue number1-2
DOIs
Publication statusPublished - 1985

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Bond Graph
Mechanical Systems
Kinematics
Graph in graph theory
Modeling
Momentum
Linkage
Rotating
Model

Keywords

  • IR-69418

Cite this

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Modelling the dynamics and kinematics of mechanical systems with multibond graphs. / Tiernego, M.J.L.; Bos, A.M.

In: Journal of the Franklin Institute, Vol. 319, No. 1-2, 1985, p. 37-50.

Research output: Contribution to journalArticleAcademic

TY - JOUR

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AU - Tiernego, M.J.L.

AU - Bos, A.M.

PY - 1985

Y1 - 1985

N2 - A method to model mechanical systems with multibond graphs is described. The method is based on the description of the vector velocity relation of a moving point in a rotating system. This relation is incorporated in a bond graph. Since bond graphs are based on the power conserving concept, the force or momenta relations are then available too. By repeating the same bond graph structure for every point (which is of interest within a chosen coordinate frame), where each point has the same rotational velocity, a systematic way of modelling mechanical systems is achieved. It is explained how connected mechanical linkages have to be handled. Two simple examples are given.

AB - A method to model mechanical systems with multibond graphs is described. The method is based on the description of the vector velocity relation of a moving point in a rotating system. This relation is incorporated in a bond graph. Since bond graphs are based on the power conserving concept, the force or momenta relations are then available too. By repeating the same bond graph structure for every point (which is of interest within a chosen coordinate frame), where each point has the same rotational velocity, a systematic way of modelling mechanical systems is achieved. It is explained how connected mechanical linkages have to be handled. Two simple examples are given.

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