From particle-mass to multibody systems: graph-theoretic modeling

Author

Baciu, G. ; Kesavan, H.K.

Author_Institution

Dept. of Comput. Sci., Hong Kong Univ. of Sci. & Technol., Kowloon, Hong Kong

Volume

27

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

244

Lastpage

250

Abstract

The distinction between geometry and dynamic interactions is fundamental for the consistent dynamic analysis of physical systems. A unified treatment of such systems is possible when we adopt a hierarchical mathematical model with a consistent set of embedded abstractions. This new view is adopted in the general formulation strategy for obtaining a simplified dynamics model of mechanical systems. We show that there exists a consistent general extension from the model of constrained particle-mass systems (PMS) to the model of multibody systems (MBS) based entirely on graph-theoretic concepts

Keywords

directed graphs; dynamics; geometry; many-body problems; matrix algebra; constrained particle-mass systems; dynamic analysis; dynamic interactions; embedded abstractions; geometry; graph-theoretic modeling; hierarchical mathematical model; mechanical systems; multibody systems; physical systems; Algebra; Concrete; Equations; Geometry; Mathematical model; Mechanical systems; Motion analysis; Quaternions; Solid modeling; Tensile stress;

fLanguage

English

Journal_Title

Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on

Publisher

ieee

ISSN

1083-4427

Type

jour

DOI

10.1109/3468.554686

Filename

554686