Articles | Volume 7, issue 1
https://doi.org/10.5194/ms-7-31-2016
https://doi.org/10.5194/ms-7-31-2016
Research article
 | 
21 Jan 2016
Research article |  | 21 Jan 2016

Guaranteed detection of the singularities of 3R robotic manipulators

R. Benoit, N. Delanoue, S. Lagrange, and P. Wenger

Related subject area

Subject: Mechanisms and Robotics | Techniques and Approaches: Numerical Modeling and Analysis
Study on the contact performance of the variable hyperbolic circular arc tooth trace cylindrical gear with installation errors
Dengqiu Ma, Bing Jiang, Lingli Bao, Zhenhuan Ye, and Yongping Liu
Mech. Sci., 15, 353–366, https://doi.org/10.5194/ms-15-353-2024,https://doi.org/10.5194/ms-15-353-2024, 2024
Short summary
Multi-robot consensus formation based on virtual spring obstacle avoidance
Yushuai Fan, Xun Li, Xin Liu, Shuo Cheng, and Xiaohua Wang
Mech. Sci., 15, 195–207, https://doi.org/10.5194/ms-15-195-2024,https://doi.org/10.5194/ms-15-195-2024, 2024
Short summary
A miniaturized statically balanced compliant mechanism for on-chip ultralow wide-bandwidth vibrational energy harvesting
Haitong Liang, Hailing Fu, and Guangbo Hao
Mech. Sci., 15, 159–168, https://doi.org/10.5194/ms-15-159-2024,https://doi.org/10.5194/ms-15-159-2024, 2024
Short summary
Vibration coupling characteristics and grinding force control of an elastic component grinding system
Yufei Liu, Lang Wu, En Lu, and Jinyong Ju
Mech. Sci., 15, 123–136, https://doi.org/10.5194/ms-15-123-2024,https://doi.org/10.5194/ms-15-123-2024, 2024
Short summary
Influence of a walking mechanism on the hydrodynamic performance of a high-speed wheeled amphibious vehicle
Haijun Xu, Liyang Xu, Yikun Feng, Xiaojun Xu, Yue Jiang, and Xue Gao
Mech. Sci., 14, 277–292, https://doi.org/10.5194/ms-14-277-2023,https://doi.org/10.5194/ms-14-277-2023, 2023
Short summary

Cited articles

Baili, M.: Analyse et classification de manipulateurs 3R à axes orthogonaux, PhD thesis, Ecole Centrale de Nantes (ECN), Université de Nantes, France, 2004.
Baili, M., Wenger, P., and Chablat, D.: A Classification of 3R Orthogonal Manipulators by the Topology of their Workspace, in: Robotics and Automation, Proceedings, ICRA '04, IEEE International Conference on, 26 April–1 May 2004, New Orleans, LA, USA, 2, 1933–1938, 2004.
Bohigas, O., Zlatanov, D., Ros, L., Manubens, M., and Porta, J. M.: Numerical computation of manipulator singularities, in: Robotics and Automation (ICRA), IEEE International Conference on, 14–18 May 2012, Saint Paul, MN, USA, 1351–1358, 2012.
Bohigas, O., Manubens, M., and Ros, L.: Singularities of non-redundant manipulators: A short account and a method for their computation in the planar case, Mech. Mach. Theory, 68, 1–17, 2013.
Corvez, S. and Rouillier, F.: Using Computer Algebra Tools to Classify Serial Manipulators, chapter: Automated Deduction in Geometry, in: Lecture Notes in Computer Science, edited by: Winkler, F., Springer, Berlin, Germany, 2930, 31–43, 2004.
Download
Short summary
We propose two Interval Analysis based methods to characterize novel robots. Interval analysis theory allows us to consider intervals instead of values, making it possible to use computer algorithms, without the drawback of rounding errors. The first proposed method can isolate chosen interest points and is applied to the characteristic cusp and node points of 3R orthogonal manipulators. The second method encloses the robot available postures, giving complementary information on the novel robot.