Conference article

Time varying mass and inertia in paper winding multibody simulation

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

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

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

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Published: 2012-11-19

ISBN: 978-91-7519-826-2

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


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.


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


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

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