Abstract
In the present paper, an approach to generate a minimal set of serial manipulators that provide the required motion directions without redundant solutions is introduced. Besides the architectures, the Denavit-Hartenberg parameters that can be used as optimization parameters in a posterior geometrical synthesis are extracted. The motion directions are defined through a required motion vector which is modified in order to consider the orientation of the robot base. All suitable architectures are generated from a set of discrete Denavit-Hartenberg parameters. The method removes all isomorphisms from the set of suitable architectures significantly reducing the number of solutions, i.e. the computational effort. In order to illustrate the advantage of the proposed method, the number of solutions generated with and without detection of isomorphisms are given. Finally, an example of architectures with four degrees of freedom is given.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Angeles, J.: The qualitative synthesis of parallel manipulators. J. Mech. Des. 126(4), 617–624 (2004)
Campos, A., Budde, C., Hesselbach, J.: A type synthesis method for hybrid robot structures. Mech. Mach. Theory 43(8), 984–995 (2008)
Caro, S., Khan, W.A., Pasini, D., Angeles, J.: The rule-based conceptual design of the architecture of serial Schoenflies-motion generators. Mech. Mach. Theory 45(2), 251–260 (2010)
Gogu, G.: Families of 6R orthogonal robotic manipulators with only isolated and pseudo-isolated singularities. Mech. Mach. Theory 37(11), 1347–1375 (2002)
Gogu, G.: Fully-isotropic parallel manipulators with five degrees of freedom. In: Proceedings of the IEEE International Conference on Robotics and Automation, ICRA 2006, pp. 1141–1146 (2006)
Gogu, G.: Structural synthesis of fully-isotropic parallel robots with Schönflies motions via theory of linear transformations and evolutionary morphology. Eur. J. Mech. A. Solids 26(2), 242–269 (2007)
Gogu, G.: Structural synthesis of parallel robots: part 1: methodology. Springer, New York (2007)
Gosselin, C.M., Kong, X.: Type synthesis of 4-DOF SP-equivalent parallel manipulators: a virtual chain approach. Mech. Mach. Theory 41, 1306–1319 (2006)
Guo, Z., Wang, K., Xu, Z., Qi, H.: Topological design and genetic synthesis of the variable topology parallel mechanisms. In: ASME/IFToMM International Conference on Reconfigurable Mechanisms and Robots, ReMAR 2009, pp. 221–228 (2009)
Hervé, J.: The Lie group of rigid body displacements, a fundamental tool for mechanism design. Mech. Mach. Theory 34, 719–730 (1999)
Kong, X.: Type synthesis of 3-DOF parallel manipulators with both a planar operation mode and a spatial translational operation mode. J. Mech. Robot. 5(4), 041015 1–8 (2013)
Kong, X., Gosselin, C.M.: Type synthesis of 3-DOF spherical parallel manipulators based on screw theory. J. Mech. Des. 126(1), 101–108 (2004)
Kuo, C., Dai, J.: Structural synthesis of serial robotic manipulators subject to specific motion constraints. In: Proceedings of the ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Montreal (2010)
Li, Q., Huang, Z., Herve, J.: Type synthesis of 3R2T 5-DOF parallel mechanisms using the Lie group of displacements. IEEE Trans. Robot. Autom. 20(2), 173–180 (2004)
Merlet, J.: Parallel Robots, 2nd edn. Springer, New York (2006)
Ramirez, D., Kotlarski, J., Ortmaier, T.: Automatic generation of serial robot architecture from required motion directions. In: Proceedings of the Symposium on Automated Systems and Technologies, pp. 55–64, Garbsen (2014)
Tsai, L.: Robot analysis: the mechanics of serial and parallel manipulators. Wiley, New York (1999)
Yang, T.L., Liu, A.X., Jin, Q., Luo, Y.F., Shen, H.P., Hang, L.B.: Position and orientation characteristic equation for topological design of robot mechanisms. J. Mech. Des. 131(2), 17 (2009)
Yang, T.L., Liu, A.X., Shen, H.P., Luo, Y.F., Hang, L.B., Shi, Z.X.: On the correctness and strictness of the position and orientation characteristic equation for topological structure design of robot mechanisms. J. Mech. Robot. 5(2), 18 (2013). doi:10.1115/1.4023871
Acknowledgments
Daniel Ramirez would like to thank Universidad Santo Tomas and also the Administrative Department of Science, Technology, and Innovation of Colombia Colciencias for financial support through the Call 529 2011.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Ramirez, D., Kotlarski, J., Ortmaier, T. (2015). Automatic Generation of Serial Manipulators to Be Used in a Combined Structural Geometrical Synthesis. In: Corves, B., Lovasz, EC., Hüsing, M. (eds) Mechanisms, Transmissions and Applications. Mechanisms and Machine Science, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-319-17067-1_25
Download citation
DOI: https://doi.org/10.1007/978-3-319-17067-1_25
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17066-4
Online ISBN: 978-3-319-17067-1
eBook Packages: EngineeringEngineering (R0)