Abstract
This paper presents a new method to identify the best operation regions for a planar cable-driven system based on the calculation of the maximum isotropic force at all the discrete points within the manipulator’s workspace. The proposed method is based on the obtention of four vectorial subspaces in which a new mathematical closed-form solution proposed by the authors is applied in order to obtain the maximum isotropic force generated for each vectorial subspace. Once obtained the maximum isotropic force for each vectorial subspace, is chosen the minimum of them as the maximum generalized isotropic force of the system. The proposed method is applied in four different study cases in which the positions of the vertices in the mobile platform are modified in order to obtain a rectangular workspace, a rectangular trapezoidal workspace, a trapezoidal workspace, and a parallelogramic workspace .
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Pott, A.: Cable-Driven Parallel Robots: Theory and Application. Siciliano, B., Khatib, O. (eds.) Springer, Cham (2018). https://doi.org/10.1007/978-3-319-76138-1
Bruckmann, T., Mikelsons, L., Brandt, T., Hiller, M., Schramm, D.: Wire robots part I: kinematics, analysis and design (2008)
Viana de Oliveira, M.: Force capability of planar cable-driven robots. UFSC, Florianópolis, SC, Brazil (2018)
Muraro, T., Martins, D., Sacht, L.K.: Vector analysis of the cable tension conditions. In: Carvalho, J.C.M., Martins, D., Simoni, R., Simas, H. (eds.) MuSMe 2017. MMS, vol. 54, pp. 39–48. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-67567-1_4
Merlet, J.-P.: Wire-driven parallel robot: open issues. In: Romansy 19-Robot, Design, Dynamics and Control, pp. 3–10. Springer, Cham (2013). https://doi.org/10.1007/978-3-7091-1379-0_1
Goselin, C.: Cable-driven parallel mechanisms: state of the art and perspectives. Mech. Eng. Rev. 1(1), DSM0004–DSM0004 (2014). The Japan Society of Mechanical Engineers
Verhoeven, R.: Analysis of the workspace of tendon-based Stewart platforms. Thesis (Doctorate) - Universitat Duisburg-Essen, Ingenieurwissenschaften Maschinenbau und Verfahrenstechnik (2004)
Weihmann, L.: Force capabilities of kinematically redundant planar parallel manipulators. In: 13th World Congress in Mechanism and Machine Science, vol. 1. sn (2011)
Mejia, L., Simas, H., Martins, D.: Force capability in general 3 DoF planar mechanisms. Mech. Mach. Theory 91, 120–134 (2015)
Mejia, L., Simas, H., Martins, D.: Wrench capability in redundant planar parallel manipulators with net degree of constraint equal to four, five or six. Mech. Mach. Theory 105, 58–79 (2015)
Frantz, F.: Capacidade de força em robôs atuados por cabos. UFSC, Blumenau, SC, Brazil (2021)
Mejia, L., Ponce, D., Herrera, J.C., Simas, H., Martins, D.: Influence of the working mode on the maximum isotropic force capability maps for a 3\(RRR\) planar parallel manipulator. In: Carvalho, J.C.M., Martins, D., Simoni, R., Simas, H. (eds.) MuSMe 2017. MMS, vol. 54, pp. 151–159. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-67567-1_14
Mejia, L., Simoni, R., Herrera, J.C., Simas, H., Martins, D.: Maximum isotropic force capability maps in redundant planar cooperative systems. Int. J. Mech. Robot. Syst. 4(4), 323–338 (2018)
Davies, T.H.: Mechanical networks I: passivity and redundancy. Mech. Mach. Theory 18, 95–105 (1983)
Davies, T.H.: Mechanical networks III: wrenches on circuit screws. Mech. Mach. Theory 18, 107–112 (1983)
Acknowledgements
Authors would like to thank to the Federal University of Santa Catarina which has made the present work possible.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Mejia, L., Frantz, F., Ponce, D., Martins, D. (2022). Best Operation Regions in a Planar Cable Driven System. In: Altuzarra, O., Kecskeméthy, A. (eds) Advances in Robot Kinematics 2022. ARK 2022. Springer Proceedings in Advanced Robotics, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-031-08140-8_11
Download citation
DOI: https://doi.org/10.1007/978-3-031-08140-8_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-08139-2
Online ISBN: 978-3-031-08140-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)