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The research in this area on the one hand deals with the geometry and kinematics of special mechanisms with a focus on applications and on the other hand (more theoretically) we investigate the kinematics of different groups, for instance the kinematics of non-Euclidean geometries.
A major issue are overconstrained linkages, i.e., moveable mechanisms with a theoretical degree of freedom less than one.
Another topic is motion interpolation where a given set of poses of a rigid body is interpolated by a smooth motion. CAD-methods and the concept of kinematic mapping are applied.
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P. Fazekas, O. Röschel, and B. Servatius.
The kinematics of a
framework presented by H. Harborth and M. Möller.
Beitr. Algebra Geometrie, to appear.
[doi].
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O. Karpenkov.
On stratifications for planar tensegrities with a small number of vertices.
Geometry Preprint 2012/01, TU Graz, January 2012.
[arxiv:1201.3557].
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P. Zsombor-Murray and A. Gfrerrer.
Mapping similarity between parallel and serial architecture kinematics.
Meccanica 46/1 (2011), 183-194.
[doi].
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F. Doray, O. Karpenkov, and J. Schepers.
Geometry of configuration spaces of tensegrities.
Discrete Comput. Geom. 43/2 (2010), 436-466.
[MR], [doi].
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O. N. Karpenkov.
On the
flexibility of Kokotsakis meshes.
Geom. Dedicata 147 (2010), 15-28.
[MR], [doi].
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A. Gfrerrer.
Geometry and kinematics of the Mecanum wheel.
Comput. Aided Geom. Des. 25 (2008), 784-791.
[MR].
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A. Gfrerrer.
Axial equiform Bricard motions.
Grazer math. Berichte 352 (2008), 17 - 40.
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A. Hofmeister, W. Sextro, and O. Röschel.
Error-workspace analysis of plane mechanisms.
In Proc. EUCOMES, pages 1-12. 2006.
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S. Mick and O. Röschel.
Frameworks generated by the octahedral group.
KoG 9 (2005), 3-10.
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H. Wresnik.
Bewegungen mit ebenen Bahnen im einfach isotropen Raum. I, II.
Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. 15 (2005), 23-47,
49-71.
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A. Gfrerrer and P. J. Zsombor-Murray.
Robotrac mobile 6R closed chain.
In Proc. CSME Forum, pages 21-24. 2002, ISBN 0-9730900-1-4.
CD.
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O. Röschel.
New models of moveable polyhedra.
In V. Mykhailenko, editor, Proc. 10th Int. Conf. on Geometry and
Graphics, volume 1, pages 127-131. 2002.
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J. Lang, S. Mick, and O. Röschel.
The rigidity rate of positions of Stewart-Gough platforms.
J. Geom. Graph. 5/2 (2001), 121-132.
[MR].
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O. Röschel.
Zwangläufig bewegliche Polyedermodelle. III.
Math. Pannon. 12/1 (2001), 55-68.
[MR].
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A. Gfrerrer and P. J. Zsombor-Murray.
Kinematics of a two-legged manipulator with actuated spherical joints.
In Proc. 2nd Workshop Computational Kinematics. 2001.
held May 19-22 2001, Seoul.
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A. Gfrerrer.
Study's kinematic mapping - a tool for motion design.
In J. Lenarcic and M. M. Stanisic, editors, Recent Advances in Robot
Kinematics, pages 7-16. 2000.
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O. Röschel.
Möbius mechanisms.
In J. Lenarcic and M. M. Stanisic, editors, Advances in Robot
Kinematics, pages 375-382. Kluwer, 2000.
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A. Gfrerrer.
On the construction of rational curves on hyperquadrics.
Grazer Math. Berichte 340 (1999), 1-69.
[MR].
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