Abstract
This paper describes methods of kinematic modeling and of forward kinematics computation that are implemented in a new kinematic modeling software – named CAD-2-SIM – that transfers models of mechanisms from computer-aided design software to simulation. In particular, the software is based on a convention developed by Sheth and Uicker in 1971 that we call the two-frame convention, since it requires the definition of two specifically placed and named frames per joint. This convention simplifies the kinematic specification of an arbitrary mechanism and enables computing its forward kinematics. The presented notation uses an indexing scheme based on graph theory.
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References
Angeles, J.: Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms, 3rd edn. Springer-Verlag New York, Inc., Secaucus (2007)
Davidson, J.K., Hunt, K.H., Pennock, G.R.: Robots and Screw Theory: Applications of Kinematics and Statics to Robotics. In: ASME, vol. 126 (2004)
Denavit, J., Hartenberg, R.S.: A kinematic notation for lower-pair mechanisms based on matrices. Trans. of the ASME. Journal of Applied Mechanics 22, 215–221 (1955)
Diankov, R.: Automated Construction of Robotic Manipulation Programs. PhD thesis, Carnegie Mellon University, Robotics Institute (2010)
Diestel, R.: Graph Theory. Springer, Heidelberg (2005)
Featherstone, R.: Rigid Body Dynamics Algorithms. Springer, Heidelberg (2008)
Funda, J., Paul, R.P.: A computational analysis of screw transformations in robotics. IEEE Transactions on Robotics and Automation 6, 348–356 (1990)
Gupta, K.C.: Kinematic analysis of manipulators using the zero reference position description. Int. J. Rob. Res. 5, 5–13 (1986)
Hartenberg, R.S., Denavit, J.: Kinematic Synthesis of Linkages (1964)
Lai, H.-J., Haug, E.J., Kim, S.-S., Bae, D.-S.: A decoupled flexible-relative co-ordinate recursive approach for flexible multibody dynamics. International Journal for Numerical Methods in Engineering 32(8), 1669–1689 (1991)
McPhee, J.: On the use of linear graph theory in multibody system dynamics. Nonlinear Dynamics 9(1), 73–90 (1996)
Murray, R.M., Shankar Sastry, S., Li, Z.: A Mathematical Introduction to Robotic Manipulation. CRC Press, Boca Raton (1994)
Perez, A., McCarthy, J.M.: Dual quaternion synthesis of constrained robotic systems. Journal of Mechanical Design 126, 425–435 (2004)
Roth, B.: Overview on advanced robotics: Manipulation. In: Proceedings ICAR, pp. 569–580 (1985)
Sahu, S., Biswal, B.B., Subudhi, B.: A novel method for representing robot kinematics using quaternion theory. In: IEEE Sponsored Conference on Computational Intelligence, Control And Computer Vision In Robotics & Automation (2008)
Sciavicco, L., Siciliano, B.: Modelling and Control of Robot Manipulators, 2nd edn. Kluwer Academic Publishers (1999)
Selig, J.M.: Geometric Fundamentals of Robotics, 2nd edn. Springer, Berlin (2005)
Sheth, P.N., Uicker, J.J.: A generalized symbolic notation for mechanisms. Journal of Engineering for Industry, Series B 93(70), 102–112 (1971)
Thomas, U., Maciuszek, I., Wahl, F.M.: A Unified Notation for Serial, Parallel, and Hybrid Kinematic Structures. In: ICRA, pp. 2868–2873 (2002)
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Bongardt, B. (2011). CAD-2-SIM – Kinematic Modeling of Mechanisms Based on the Sheth-Uicker Convention. In: Jeschke, S., Liu, H., Schilberg, D. (eds) Intelligent Robotics and Applications. ICIRA 2011. Lecture Notes in Computer Science(), vol 7101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25486-4_47
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DOI: https://doi.org/10.1007/978-3-642-25486-4_47
Publisher Name: Springer, Berlin, Heidelberg
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