Abstract
Cable-Driven Parallel Robots (CDPRs) are a type of robot that is growing in popularity for different kinds of applications. However, the use of cables instead of rigid links makes the modelling of this robot a complex task, and therefore their trajectory planning and control are challenging. Assumptions such as inelastic, massless and non-sagging cables made when the CDPR is small are no longer valid when the robot becomes large. This paper presents a CDPR dynamic model taking into account cable elasticity and sagging, and its implementation within an open-source framework, named SOFA. Finally, the simulation results are compared to experiments conducted on a suspended CDPR.
This work was supported by both IRT Jules Verne in the framework of the PERFORM program and ROBOTEX 2.0 (Grants ROBOTEX ANR-10-EQPX-44-01 and TIRREX ANR-21-ESRE-0015).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Pott, A., Meyer, C., Verl, A.: Large-scale assembly of solar power plants with parallel cable robots. In: ISR 2010 (41st International Symposium on Robotics) and ROBOTIK 2010 (6th German Conference on Robotics), pp. 1–6. VDE (2010)
Miermeister, P., et al.: The cablerobot simulator large scale motion platform based on cable robot technology. In: 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 3024–3029. IEEE (2016)
Tang, X., Yao, R.: Dimensional design on the six-cable driven parallel manipulator of fast. J. Mech. Des. 133(11), 111012 (2011). https://doi.org/10.1115/1.4004988
Picard, E., Caro, S., Claveau, F., Plestan, F.: Pulleys and force sensors influence on payload estimation of cable-driven parallel robots. In: 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 1429–1436, October 2018. https://doi.org/10.1109/IROS.2018.8594171
Santos, J.C., Chemori, A., Gouttefarde, M.: Model predictive control of large-dimension cable-driven parallel robots. In: CableCon 2019. MMS, vol. 74, pp. 221–232. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-20751-9_19
Picard, E., Tahoumi, E., Plestan, F., Caro, S., Claveau, F.: A new control scheme of cable-driven parallel robot balancing between sliding mode and linear feedback. IFAC-PapersOnLine 53(2), 9936–9943 (2020). https://doi.org/10.1016/j.ifacol.2020.12.2708, 21st IFAC World Congress
Baklouti, S., Courteille, E., Caro, S., Dkhil, M.: Dynamic and oscillatory motions of cable-driven parallel robots based on a nonlinear cable tension model. J. Mech. Robot. 9(6), 061014 (2017)
Saadaoui, R., Laroche, E., Bara, I., Piccin, O.: H\(\infty \) control of a planar 3-dof flexible-cable manipulator. IFAC-PapersOnLine 55, 199–204 (2022). https://doi.org/10.1016/j.ifacol.2022.09.347
Merlet, J.P.: Some properties of the irvine cable model and their use for the kinematic analysis of cable-driven parallel robots. Mech. Mach. Theory 135, 271–280 (2019)
Godbole, H.A., Caverly, R.J., Forbes, J.R.: Dynamic modeling and adaptive control of a single degree-of-freedom flexible cable-driven parallel robot. J. Dyn. Syst. Meas. Control 141(10), 101002 (2019). https://doi.org/10.1115/1.4043427
Okoli, F., Lang, Y., Kermorgant, O., Caro, S.: Cable-driven parallel robot simulation using gazebo and ROS. In: Arakelian, V., Wenger, P. (eds.) ROMANSY 22 – Robot Design, Dynamics and Control. CICMS, vol. 584, pp. 288–295. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-78963-7_37
Michelin, M., Baradat, C., Nguyen, D.Q., Gouttefarde, M.: Simulation and control with XDE and Matlab/simulink of a cable-driven parallel robot (CoGiRo). In: Pott, A., Bruckmann, T. (eds.) Cable-Driven Parallel Robots. MMS, vol. 32, pp. 71–83. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-09489-2_6
Coppelia Robotics AG. https://www.coppeliarobotics.com/. Accessed 21 Jan 2022
Algoryx Simulation. https://www.algoryx.se/. Accessed 21 Jan 2022
Maplesoft. https://www.maplesoft.com/. Accessed 21 Jan 2022
Coevoet, E., et al.: Software toolkit for modeling, simulation, and control of soft robots. Adv. Robot. 31(22), 1208–1224 (2017)
Duriez, C., Cotin, S., Lenoir, J., Neumann, P.: New approaches to catheter navigation for interventional radiology simulation. Comput. Aided Surg. 11(6), 300–308 (2006)
Przemieniecki, J.S.: Theory of matrix structural analysis. Courier Corporation (1985)
Felippa, C.A., Haugen, B.: A unified formulation of small-strain corotational finite elements: I. theory. Comput. Methods Appl. Mech. Eng. 194(21–24), 2285–2335 (2005)
Jourdes, F., Valentin, B., Allard, J., Duriez, C., Seeliger, B.: Visual haptic feedback for training of robotic suturing. Front. Robot. AI 9 (2022). https://doi.org/10.3389/frobt.2022.800232
Papailiou, K.O.: On the bending stiffness of transmission line conductors. IEEE Trans. Power Delivery 12, 1576–1588 (1997)
Mitiguy, P., Banerjee, A.: Determination of spring constants for modeling flexible beams. Working Model Technical Paper (2000). https://www.researchgate.net/publication/265236214
Adagolodjo, Y., Renda, F., Duriez, C.: Coupling numerical deformable models in global and reduced coordinates for the simulation of the direct and the inverse kinematics of soft robots. IEEE Robot. Autom. Lett. 6(2), 3910–3917 (2021)
Boyer, F., Lebastard, V., Candelier, F., Renda, F.: Dynamics of continuum and soft robots: a strain parameterization based approach. IEEE Trans. Robot. 37(3), 847–863 (2020)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Moussa, K. et al. (2023). FEM-Based Dynamic Model for Cable-Driven Parallel Robots with Elasticity and Sagging. In: Caro, S., Pott, A., Bruckmann, T. (eds) Cable-Driven Parallel Robots. CableCon 2023. Mechanisms and Machine Science, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-031-32322-5_5
Download citation
DOI: https://doi.org/10.1007/978-3-031-32322-5_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-32321-8
Online ISBN: 978-3-031-32322-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)