@InProceedings{JRROB-17-BRA-1,
author = {Li, Zijia and Brandst{\"{o}}tter, Mathias and Hofbaur, Michael},
booktitle = {Multibody Mechatronic Systems. MuSMe 2017. Mechanisms and Machine Science, vol 54},
title = {{Kinematic Analysis for a Planar Redundant Serial Manipulator}},
year = {2017},
address = {Cham},
editor = {Carvalho, J. C. M. and Martins, Daniel and Simoni, Roberto and Simas, Henrique},
month = sep,
pages = {97--106},
publisher = {Springer International Publishing},
abstract = {A planar serial manipulator with three rotational joints (planar 3R) can be seen to be a kinematically redundant system if only the position of the end-effector is taken into account. Configuration sets of serial manipulators of planar 3R will be considered in this work in detail. The configuration set is the solution set of all rotational joint angles (actually, we use the tangent of the half-angle) fulfilling the kinematic mapping. Then the configuration set will be an algebraic set if we fix the end-effector or the end-effector follows algebraic motions (for instance, algebraic curves in the special Euclidean group). We show the characteristic of configuration curves among the workspace in terms of the number of real connected components. The configuration curve has either one connected component or two connected components. Furthermore, we also studied the torque variation among the real connected components of the configuration set.},
comment = {Acknowledgements:
We would like to thank Andres Kecskemethy (University of Duisburg-
Essen), Josef Schicho (University of Linz) and Hans-Peter Schrocker (University Innsbruck) for the fruitful discussions. This research was funded by the Austrian Ministry for Transport, Innovation and Technology (BMVIT) within the framework of the sponsorship agreement formed for 2015-2018 under the project RedRobCo.},
doi = {https://doi.org/10.1007/978-3-319-67567-1\_9},
file = {:X\:/ROB_PUBLICATIONS/JRROB_17_BRA_Kinematic Analysis for a Planar Redundant Serial Manipulator/JRROB_17_BRA_Kinematic Analysis for a Planar Redundant Serial Manipulator_PP.pdf:PDF},
groups = {ROB-RST},
isbn = {978-3-319-67567-1},
keywords = {Planar 3R, Torque, Gr{\"{o}}bner Basis, Real connected components, Discriminant},
timestamp = {2021-04-29},
}