Article | Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany | An Annular Plate Model in Arbitrary Lagrangian-Eulerian Description for the DLR FlexibleBodies Library

Title:
An Annular Plate Model in Arbitrary Lagrangian-Eulerian Description for the DLR FlexibleBodies Library
Author:
Andreas Heckmann: German Aerospace Center (DLR), Institute of Robotics and Mechatronics, Germany Stefan Hartweg: German Aerospace Center (DLR), Institute of Robotics and Mechatronics, Germany Ingo Kaiser: German Aerospace Center (DLR), Institute of Robotics and Mechatronics, Germany
DOI:
10.3384/ecp11063121
Download:
Full text (pdf)
Year:
2011
Conference:
Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany
Issue:
063
Article no.:
015
Pages:
121-132
No. of pages:
12
Publication type:
Abstract and Fulltext
Published:
2011-06-30
ISBN:
978-91-7393-096-3
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


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The bending deformation of rotating annular plates and the associated vibration behaviour is important in engineering applications which range from automotive or railway brake systems to discs that form essential components in turbomachinery.

In order to extend the capabilities of the DLR FlexibleBodies library for such use cases; a new Modelica class has been implemented which is based on the analytical description of an annular Kirchhoff plate. In addition the so-called Arbitray Langrangian-Eulerian (ALE) representation has been adopted so that rotating and non-rotating external loads may be applied conventiently to rotating plates.

Besides these particularities the new class AnnularPlate completely corresponds to the concept of FlexibleBodies library with the two already available model classes Beam and ModalBody.

This paper gives an overview on the theoretical background of the new class AnnularPlate; explains the usage and presents application examples.

Keywords: Arbitrary Lagrangian-Eulerian approach; annular Kirchhoff plate; flexible multibody system

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Andreas Heckmann, Stefan Hartweg, Ingo Kaiser
Title:
An Annular Plate Model in Arbitrary Lagrangian-Eulerian Description for the DLR FlexibleBodies Library
DOI:
http://dx.doi.org/10.3384/ecp11063121
References:

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[7] F. Bloom and D. Coffin. Handbook of Thin Plate Buckling and Postbuckling. Chapman & Hall/CRC; Washington; D.C.; 2001.


[8] A.A. Shabana. Dynamics of Multibody Systems. Cambridge University Press; Cambridge; 2nd edition; 1998.


[9] Carl de Boor. A practical Guide to Splines. Springer–Verlag; Berlin; 1978.


[10] J. Salenc¸on. Handbook of Continuum Mechanics. Springer-Verlag; Berlin; 2001.


[11] U. Nackenhorst. The ALE-formulation of bodies in rolling contact; Theoretical foundations and finite element approach. Computer Methods in Applied Mechanics and Engineering; 193:4299–4322; 2004. doi: 10.1016/j.cma.2004.01.033.


[12] G. Chakraborty; T. Jearsiripongkul; U. von Wagner; and P. Hagedorn. A new model for a floating caliper disc-brake and active squeal control. VDI-Bericht; 1736:93–102; 2002.


[13] ITEA 2. Eurosyslib. http://www.itea2.org.

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Andreas Heckmann, Stefan Hartweg, Ingo Kaiser
Title:
An Annular Plate Model in Arbitrary Lagrangian-Eulerian Description for the DLR FlexibleBodies Library
DOI:
http://dx.doi.org/10.3384/ecp11063121
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