Abstract
This article analyzes the singularities and workspace of two tensegrity mechanisms that employ a passive universal joint and either three or four tension springs. These two architectures are correlated to 3-SPS-U and 4-SPS-U parallel mechanisms for determining their geometric equations. By fixing the limits of prismatic joints, the workspace for the mechanisms is generated and the parallel singularities are analyzed. Based on the singularity boundaries obtained from the workspace, the joint limits are modified to generate the maximal singularity free workspaces for both the architectures. A comparison is done based on the tilt limits obtained from the workspace of the mechanisms. The mechanism with the maximum tilt limits is implemented for a piping inspection robot to pass through pipe bends and junctions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Venkateswaran, S., Chablat, D., Boyer, F.: Numerical and experimental validation of the prototype of a bio-inspired piping inspection robot. Robotics 8(2), 32 (2019)
Chen, J., Chen, T., Deng, Z.: Design method of modular units for articulated in-pipe robot inspecting system. In: 2011 Second International Conference on Digital Manufacturing & Automation, pp. 389–392. IEEE (2011)
Hirose, S., Ohno, H., Mitsui, T., Suyama, K.: Design of in-pipe inspection vehicles forpipes. In: Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No. 99CH36288C), vol. 3, pp. 2309–2314. IEEE (1999)
Brunete, A., Hernando, M., Gambao, E.: Modular multi configurable architecture for low diameter pipe inspection microrobots. In: Proceedings of the 2005 IEEE International Conference on Robotics and Automation, pp. 490–495. IEEE (2005)
Venkateswaran, S., Furet, M., Chablat, D., Wenger, P.: Design and analysis of a tensegrity mechanism for a bio-inspired robot. In: Proceedings of the ASME 2019 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, vol. 5A, 43rd Mechanisms and Robotics Conference (2019). V05AT07A026
Shah, S., Saha, S., Dutt, J.: Denavit-hartenberg parameterization of Euler angles. J. Comput. Nonlinear Dyn. 7(2), 021006 (2012)
Alici, G., Shirinzadeh, B.: Topology optimisation and singularity analysis of a 3-sps parallel manipulator with a passive constraining spherical joint. Mech. Mach. Theor. 39(2), 215–235 (2004)
Pan, Y., Chen, Y., Li, L.: Analysis of kinematic dexterity and stiffness performance based on spring’s wire-driven 4-sps/u rigid-flexible parallel trunk joint mechanism. Int. J. Struct. Integrity (2019)
Gosselin, C., Angeles, J.: Singularity analysis of closed-loop kinematic chains. IEEE Trans. Robot. Autom. 6(3), 281–290 (1990)
Jha, R., Chablat, D., Baron, L., Rouillier, F., Moroz, G.: Workspace, joint space and singularities of a family of delta-like robot. Mech. Mach. Theory 127, 73–95 (2018)
Chablat, D., Ottaviano, E., Moroz, G.: A comparative study of 4-cable planar manipulators based on cylindrical algebraic decomposition. In: Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, pp. 1–10 (2011)
Chablat, D., Wenger, P.: Working modes and aspects in fully parallel manipulators. In: Proceedings of 1998 IEEE International Conference on Robotics and Automation (Cat. No. 98CH36146), vol. 3, pp. 1964–1969. IEEE (1998)
Acknowledgements
We would like to thank the ANR Avineck project team for the support extended in the initial study of this mechanism.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Venkateswaran, S., Chablat, D. (2021). Singularity and Workspace Analysis of 3-SPS-U and 4-SPS-U Tensegrity Mechanisms. In: Lenarčič, J., Siciliano, B. (eds) Advances in Robot Kinematics 2020. ARK 2020. Springer Proceedings in Advanced Robotics, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-50975-0_28
Download citation
DOI: https://doi.org/10.1007/978-3-030-50975-0_28
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-50974-3
Online ISBN: 978-3-030-50975-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)