Conference article

Point-to-Curve Constraints and other Contact Elements

Volker Beuter
Kämmerer AG, Germany

Download articlehttp://dx.doi.org/10.3384/ecp09430047

Published in: Proceedings of the 7th International Modelica Conference; Como; Italy; 20-22 September 2009

Linköping Electronic Conference Proceedings 43:79, s. 676-684

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Published: 2009-12-29

ISBN: 978-91-7393-513-5

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

Abstract

The MultiBody package of the Modelica Standard Library (MSL) contains a Prismatic Joint model with two Frame connectors where one frame can move with respect to the other along a direction n. This can be viewed as that the second frame can move along a straight line fixed in the first frame. In this work a constraint is developed where this line is replaced by some curve described by some suitable geometry: A Pointto-Curve (PtCv) constraint. It turns out that there are several options to define the orientation of the second frame with respect to the first one. Additional degrees of freedom are possible. These ideas can be applied to 2D: A Point-to-Surface (PtSf) constraint . PtCv and PtSf constraints seem to be suitable building blocks for higher order constraints: Curve-to-Curve (CvCv) resp. Surface-to-Surface (SfSf) constraints. As a byproduct there are some Joint models not yet available in the MSL at all or not in that form; like an elementary Cylindrical joint.

Keywords

Point-to-curve contact; osculating circle; point-to-surface contact

References

[1] http://www.mscsoftware.com/products/adams.cfm

[2] M. Höbinger; M. Otter: PlanarMultiBody - a Modelica Library for Planar Multi-Body Systems. Proceedings of the 5th Modelica Conference; Bielefeld; Germany; 2008; pp. 549-556

[3] Schillhuber; Gerhard; BSpline package; Copyright Modelica Association and DLR; 2002.

[4] http://www.itea2.org/public/project_leaflets/EUROSYSLIB_profile_oct-07.pdf

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