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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v1.i23.30
22 pages

A Procedure for Modeling Multibody Systems Using Subsystem Models

Chad Schmitke
Systems Design Engineering, University of Waterloo, Ontario, Canada
John McPhee
Systems Design Engineering, University of Waterloo, Ontario, Canada

ABSTRACT

With the increasing use of microprocessors to control multibody systems, the inclusion of both analogue and digital electronic components in multibody formulations has become one of the challenges facing the multibody community. Models of mechanical systems that incorporate these types of components are referred to as "mechatronic" systems, while multibody systems incorporating only analogue components are dubbed "electromechanical" systems. Traditional approaches to modeling such systems can be very time-intensive and result in extremely complex equations. The following article proposes a method for efficiently generating the governing symbolic equations for an electromechanical multibody system. The key to the proposed approach lies in exploiting the topology of a given system by applying subsystems derived using a newly developed extension to linear graph theory. Exploiting the topology in this manner accommodates parallel formulation strategies and helps to clarify and organize the system level models, thereby increasing the efficiency of the modeling process and subsequent numerical simulations. In addition, because the subsystem models are developed using a linear graph formulation, it is shown that they naturally combine with graph models of electrical subsystems to model electromechanical systems.


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