Abstract
At present, the cranes used at sea have several shortcomings in terms of flexibility, efficiency, and safety. Therefore, a floating multi-robot coordinated lifting system is proposed to fulfill the offshore lifting requirements. First, the structure of the lifting system is established according to the lifting task, the kinematic model of the system is developed by using the D–H coordinate transformation, and the dynamic model is developed based on rigid-body dynamics and hydrodynamics. Then, the static and dynamic workspace of the lifting system are analyzed, and the solving steps of the workspace are given by using the Monte–Carlo method. The effect of the load mass and the maximum allowable tension of the cable on the workspace is examined by simulation. Results show that the lifting system has limited carrying capacity and a data reference for selecting the structural parameters by analyzing the factors affecting the workspace. Findings provide a basis for further research on the optimal design of structural parameters and the determination of safe configurations of the lifting system.
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Bedoustani YB, Taghirad HD, Aref MM (2009) Dynamics analysis of a redundant parallel manipulator driven by elastic cables. International Conference on Control, 1–6
Bisgaard M, Bendtsen JD, Habbo AL (2009) Modeling of generic slung load system. Journal of Guidance, Control, and Dynamics 32(2): 573–585. DOI: https://doi.org/10.2514/1.36539
Bisgaard M, Habbo AL, Bendtsen JD (2010) Adaptive control system for autonomous helicopter slung load operations. Control Engineering Practice 18(7): 800–811. DOI: https://doi.org/10.1016/j.conengprac.2010.01.017
Bosscher P, Ebertuphoff I, Riechel AT (2006) Wrench-feasible workspace generation for cable-driven robots. IEEE Transactions on Robotics 22(5): 890–902. DOI: https://doi.org/10.1109/tro.2006.878967
Cong BP, Song HY, Yang G (2005) Dynamic analysis of cable driven parallel mechanisms. IEEE/ASME International Conference on Advanced Intelligent Mechatronics, 1–8
Chen RJ, Wu ZW, Wang T (2001) Modeling and analysis for agent-based distributed multiple robot system. China Mechanical Engineering 12(6): 667–671. (in Chinese) DOI: https://doi.org/10.3321/j.issn:1004-132X.2001.06.017
Chen Y, Jiang Y, Tang L (2020) Dynamic modeling of 4-DOF cable-driven rigid-flexible hybrid wave motion compensation mechanism. Journal of Central South University 51(7): 1767–1780. DOI: https://doi.org/10.1007/s12206-020-0415-x
Craig, John J, Yun C (2018) Introduction to robotics. Machinery Industry Press, Beijing, 76–88
Ding HF, Qian S, Zi B (2012) Design and analysis of cooperative cable parallel manipulators for multiple mobile cranes. International Journal of Advanced Robotic Systems 9(5): 56–61. DOI: https://doi.org/10.5772/53670
Diao X, Ou M (2007) A method of verifying force-closure condition for general cable manipulators with seven cables. Mechanism & Machine Theory 42(12): 1563–1576. DOI: https://doi.org/10.1016/j.mechmach-theory.2007.06.008
Guan Y, Yokoi K (2006) Reachable space generation of a humanoid robot using the Monte Carlo method. IEEE International Conference on Intelligent Robots and Systems, 1–9
Horoub MM, Hassan M (2018) Influence of cables layout on the dynamic workspace of a six-DOF parallel marine manipulator. Mechanism and Machine Theory 129: 191–201. DOI: https://doi.org/10.1016/j.mechmachtheory.2018.07.022
Horoub MM, Hassan M, Hawwa MA (2017) Workspace analysis of a Gough-Stewart type cable marine platform subjected to harmonic water waves. Mechanism and Machine Theory 120: 314–325. DOI: https://doi.org/10.1016/j.mechmachtheory.2017.09.001
Idres MM, Mook D, Youssef KS (2003) A nonlinear 8-DOF coupled crane-ship dynamic model. Structural Dynamics and Materials Conference, Norfolk, USA, 1–5
Jia N, Qian S, Yang SG (2015) Design and feasibility study of connecting device for cooperation of multiple mobile cranes. Machinery Design & Manufacture 1(7): 200–203. (in Chinese) DOI: https://doi.org/10.19356/j.cnki.1001-3997.2015.07.055
Li JH (2021) Workspace and stability analysis of coordinated lifting system for floating multi-robot. Master thesis, Lanzhou Jiaotong University, Lanzhou, 30–45
Li W, Su C, Ye JN (2015) Analysis of dynamic workspace for under-constrained coordinate suspending system with multi-robots. Journal of Shanghai Jiao Tong University 49(10): 1916–1923. (in Chinese) DOI: https://doi.org/10.16183/j.cnki.jsjtu.2019.02.014
Liu HT, Xu K, Yue W (2021a) Kinematics modeling and optimal design of a partially compliant four-bar linkage using elliptic integral solution. Mechanism and Machine Theory 157: 1–15. DOI: https://doi.org/10.1016/j.mechmachtheory.2020.104214
Liu XF, Tang YH, Liu X (2021b) Dynamic performance optimization for redundantly actuated parallel manipulator with constraint branch. Transactions of the Chinese Society for Agricultural Machinery 52(8): 378–385. (in Chinese) DOI: https://doi.org/10.6041/j.issn.1000-1298.2021.05.042
Qian S, Zi B, Zhang D (2014) Kinematics and error analysis of cooperative cable parallel manipulators for multiple mobile cranes. International Journal of Mechanics & Materials in Design 10(4): 395–409. DOI: https://doi.org/10.1007/s10999-014-9250-5
Qian S, Zi B, Zhou B (2017) Dynamic modeling and analysis of cable parallel manipulator for dual automobile cranes during luffing motion. Journal of Mechanical Engineering 53(7): 55–61. (in Chinese) DOI: https://doi.org/10.3901/JME.2017.07.055
Ren HL (2008) Study on rigid-flexible coupling dynamic modeling and dynamic characteristics of mooring crane. PhD thesis, Huazhong University of Science and Technology, Wuhan, 20–25
Schellin TE, Jiang T, Sharma SD (1991) Crane ship response to wave groups. Journal of Offshore Mechanics and Arctic Engineering 113(3): 211–218. DOI: https://doi.org/10.1115/1.2919922
Su C, Wang ZR, Zhao ZG (2021) Dynamic response simulation analysis of floating base multi-robot coordinated lifting system. Journal of Vibration and Shock 40(23): 232–238. (in Chinese) DOI: https://doi.org/10.13465/j.cnki.jvs.2021.23.031
Tang XQ, Tang LW, Wang J (2013) Workspace quality analysis and application for a completely restrained 3-DOF planar cable-driven parallel manipulator. Journal of Mechanical Science and Technology 27(8): 2391–2399. DOI: https://doi.org/10.1007/s12206-013-0624-7
Verhoeven R, Hiller M (2000) Estimating the controllable workspace of tendon-based Stewart platforms. Advances in Robot Kinematics, 88–96
Wang GX, Yuan DN, Liu HZ (2012) Kinematic analysis of spatial 4-SPS/CU parallel mechanism. Transactions of the Chinese Society for Agricultural Machinery 43(3): 207–212. (in Chinese) DOI: https://doi.org/10.6041/j.issn.1000-1298.2012.03.037
Yu XB, He W, Li Q, Li YN, Li B (2021) Human-robot co-carrying using visual and force sensing. IEEE Transactions on Industrial Electronics 68(9): 8657–8666. DOI: https://doi.org/10.1109/TIE.2020.3016271
Yu XB, Li B, He W, Feng YH, Cheng L, Silvestre C (2022) Adaptive-constrained impedance control for human-robot co-transportation. IEEE Transactions on Cybernetics 52(12): 13237–13249. DOI: https://doi.org/10.1109/TCYB.2021.3107357
Funding
Funding Supported by the National Natural Science Foundation of China under Grant No. 51965032, the National Natural Science Foundation of Gansu Province of China under Grant No. 22JR5RA319, the Science and Technology Foundation of Gansu Province of China under Grant No. 21YF5WA060, and the Excellent Doctoral Student Foundation of Gansu Province of China under Grant No. 23JRRA842.
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Article Highlights
• The workspace of the lifting system is divided into static and dynamic workspaces.
• The effect of load mass and the maximum allowable cable tension on the workspace are analyzed.
• The lifting system has a data reference for selecting the structural parameters by analyzing the factors affecting the workspace.
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Su, C., Zhao, X., Yan, Z. et al. Workspace Analysis of a Floating Multi-Robot Coordinated Lifting System. J. Marine. Sci. Appl. 23, 148–159 (2024). https://doi.org/10.1007/s11804-024-00389-3
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DOI: https://doi.org/10.1007/s11804-024-00389-3