Summary
This paper discusses computational issues in kinematic design of tactile sensing fixtures used in robotics applications. It deals with mechanical fixtures built or modeled by feature surfaces consisting of planes, spheres, and cylinders. It develops the governing equations for locating each of these geometric objects using tactile sensing probes. It shows that although four points are needed to locate a sphere, in many applications sensing three points is sufficient for referencing. In the case of a cylinder it is shown that in general six points are necessary and that in many applications five points are sufficient for locating the cylinder. The paper reduces the governing equations for a cylinder to a set of polynomial equations consisting of a second-degree and a third-degree equation. The solutions of this set are found using symbolic computations. The results are applied to the kinematic design and analysis of a mechanical fixture consisting of a sphere and a cylinder as its feature surfaces.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Boehm W. and Prautzsch H. (1994), Geometric Concepts for Geometric Design, A K Peters, Wellesley, MA.
Duffie N., Bollinger J., Van Aken L., et al. (1984), A Sensor Based Technique for Automated Robot Programming, Journal of Manufacturing Systems, vol. 3, pp. 13–26.
Hollerback J. M. (1988), A survey of Kinematic Calibration, In Robotics Review, pp. 208–242.
McCallion H. and Pham D. T. (1984), On Machine Perception of the Relative Position of Two Objects Using Bilaterial Tactile Sensing Systems, Proceedings of the Institution of Mechanical Engineers, vol. 198B, pp. 179–186.
Mooring B. W. and Pack T. J. (1987), Aspects of Robot Repeatability, Robotica, pp. 223–239.
Nederbragt W. W. and Ravani B. (1996), Type Synthesis of Contact Sensing Elements for Robotic Fixturing, Eleventh CISM-IFToMM Symposium on Theory and Practice of Robots and Manipulators.
Nederbragt W. W. and Ravani B. (1997), Design of Tactile Fixtures for Robotics and Manufacturing, ASME Journal of Mechanical Design, June.
Ravani B. and Ge Q. J. (1991), Kinematic Localization for World Model Calibration in Off-Line Robot Programming Using Clifford Algebra, Proc. IEEE International Conference on Robotics and and Automation, Sacramento, California, pp. 584–589.
Roberts A. W. (1985), Elementary Linear Algebra, Benjamin-Cummings Publishing, Reading, MA.
Roth Z. S., Mooring B. W. and Ravani B. (1987), An Overview of Robot Calibration, IEEE Journal of Robotics and Automation, vol. Ra-3, pp. 377–385.
Schaal H. (1985), Ein Geometrisches Problem der Metrischen Getriebesyntheses, Sitzungsberichte der Osterreichischen Akademie der Wissenschaften, Wien.
Slocum A. H. (1988), Kinematic Couplings For Precision Fixturing — Part 1, Precision Engineering, vol. 10, pp. 85–91.
Spencer W. A. (1939), Basic Principles of Analytic Geometry, The Orthovis Company — educational publishers, Chicago.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Nederbragt, W.W., Ravani, B. (1998). Computational Issues in the Kinematic Design of Tactile Sensing Fixtures. In: Angeles, J., Zakhariev, E. (eds) Computational Methods in Mechanical Systems. NATO ASI Series, vol 161. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03729-4_6
Download citation
DOI: https://doi.org/10.1007/978-3-662-03729-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08369-3
Online ISBN: 978-3-662-03729-4
eBook Packages: Springer Book Archive