Conference article

Time varying mass and inertia in paper winding multibody simulation

Edo Drenth
Modelon AB, Ideon Science Park, Lund, Sweden

Download articlehttp://dx.doi.org/10.3384/ecp12076847

Published in: Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Linköping Electronic Conference Proceedings 76:87, s. 847-854

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Published: 2012-11-19

ISBN: 978-91-7519-826-2

ISSN: 1650-3686 (print), 1650-3740 (online)

Abstract

This paper will discuss Modelica’s unprecedented flexibility for multi-body simulations. Classical multi-body simulation has as a prerequisite constant mass and inertia for deriving the equations of motion for rigid bodies. However; there are industry applications that require time dependency of mass and inertia. In these applications mass and inertia cannot be assumed constant and will thus constitute part of the differential equations system by means of introducing mass and inertia as states.

Introducing mass and inertia as states; rather than parameters; requires reformulation of the Newton/Euler formulation of the body model component in the Modelica mechanics multi-body library [3].

A successful new body model formulation has been created and is applied in an industrial example system model.

Keywords

dynamic mass; dynamic inertia; multi-body; mechanics; paper winding; vibration; FMI

References

1. Virtanen T; Fault Diagnostics and Vibration Control of Paper Winders; Ph D dissertation Helsinki University of Technology; Espoo; Finland; 2006

2. Zwart; J.; Tarnowski; W.; Winder Vibration Related to Set Throw-outs; PAPTAC 89th Annual Meeting; Montreal; Canada; 2003

3. Kleppner; D; Kolenkow; R.; An Introduction to Mechanics; McGraw-Hill; pp. 133–134; 1973

4. Chandler; D.; Newton’s Second Law for Systems with Variable Mass; The Physics Teacher; Vol. 38; 2000

5. Modelica Standard Library; Version 3.2

6. Blochwitz; T.; Otter; M.; Arnold; M.; Bausch; C.; Clauß; C.; Elmqvist; H.; Junghanns; A.; Mauss; J.; Monteiro M.; Neidhold; T.; Neumerkel; D.; Olsson; H.; Peetz; J.-V.; Wolf; S.; The Functional Mockup Interface for Tool independent Exchange of Simulation Models; 8th Modelica Conference; Dresden; Germany; 2011

7. FMI Toolbox User’s Guide 1.3.1; Modelon AB; Lund; Sweden; 2012

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