Cable-suspended manipulators are used in large scale applications with, heavy in weight and long in span cables. It seems impractical to maintain cable assumptions of smaller robots for large scale manipulators. The interactions among the cables, platforms and actuators can fully evaluate the coupled dynamic analysis. The structural flexibility of the cables becomes more pronounced in large manipulators. In this paper, an analytic solution is provided to solve cable vibration. Also, a closed form solution can be adopted to improve the dynamic response to flexibility. The output is provided by the optimal torque generation subject to the actuator limitations in a mechatronic sense. Finally, the performance of the proposed algorithm is examined through simulations.
Albus J, Bostelman R, Dagalakis N. The NIST ROBOCRANE. Journal of Robotic Systems , 1993, 10(5): 709-724 doi: 10.1002/rob.4620100509
3
Williams R L II, Albus J S, Bostelman R V. Self-contained automated construction deposition system. Automation in Construction , 2004, 13(3): 393-407 doi: 10.1016/j.autcon.2004.01.001
4
Bosscher P, Williams R L. A Concept for Rapidly-Deployable Cable Robot Search and Rescue Systems, in Proc. IDETC/CIE, ASME , 2005
5
Takemura F, Enomoto M, Tanaka T, Denou K, Kobayashi Y, Tadokoro S. Development of the balloon-cable driven robot for information collection from sky and proposal of the search strategy at a major disaster, in Proc. IEEE/ASME International Conference on Advanced Intelligent Mechatronics , 2005
6
Dewdney P, Nahon M, Veidt B. The large adaptive reflector: A giant radio telescope with an areo twist. Canadian Aeronautics and Space Journal , 2002, 48(4): 239-250 doi: 10.5589/q02-026
7
Nan R, Peng B. A Chinese concept for the 1 km 2 radio telescope. Acta Astronautica , 2000, 12: 66
8
Carrión-Viramontes F J, Ló-López J A. Quintana-Rodríguez J A, Lozano-Guzmán A, Nonlinear assessment of cable vibration in a stayed bridge. Experimental Mechanics , 2008, 48(2): 153-161 doi: 10.1007/s11340-007-9077-1
9
Abdel-Rahman E M, Nayfeh A.H, Masoud Z N. A review: dynamics and control of cranes. Journal of Vibration and Control , 2003, 9, 863
10
Cheng Y, Ren G, Dai S. The multi-body system modeling of the Gough-Stewart platform for vibration control. Journal of Sound and Vibration , 2005. 599-614
11
Jeong J, Kim S, Kwak Y. Kinematics and workspace analysis of a parallel cable mechanism for measuring a robot pose. Mechanism and Machine Theory , 1999, 34(6): 825-841 doi: 10.1016/S0094-114X(98)00080-9
12
Kozak K, Zhou Q, Wang J. Static Analysis of Cable-Driven Manipulators with Non-Negligible Cable Mass. IEEE Transactions on Robotics , 2006, 22(3): 425-433
13
Korayem M H, Bamdad M, Saadat M. Workspace Analysis of Cable-Suspended Robots with Elastic Cable; in Proc. IEEE International Conference, ROBIO , China, 2007
14
Diao X, Ma O. Vibration analysis of cable-driven parallel manipulators. Multibody System Dynamics , 2009, 21(4): 347-360 doi: 10.1007/s11044-008-9144-0
15
Shiang W, Cannon D, Gorman J. Optimal Force Distribution Applied to a Robotic Crane with Flexible Cable, in Proc. IEEE Robotics & Automation, San Francisco , 2000
16
Zhang Y, Agrawal S K, Piovoso M J. Coupled Dynamics of Flexible Cables and Rigid End-Effector for a Cable Suspended Robot, in Proc. American Control Conference , 2006
17
Baicu C F, Rahn C D, Nibali B D. Active Boundary Control of Elastic Cables: Theory and Experiment. Journal of Sound and Vibration , 1996, 198(1): 17-26 doi: 10.1006/jsvi.1996.0554
18
Korayem M H, Tourajizadeh H, Bamdad M. Dynamic Load Carrying Capacity of Flexible Cable Suspended Robot: Robust Feedback Linearization Control Approach. Journal of Intelligent & Robotic Systems , 2010, 60(3-4): 341-363 doi: 10.1007/s10846-010-9423-x
19
Korayem M H, Davarzani E, Bamdad M. Optimal Trajectory Planning with Dynamic Load Carrying Capacity of Flexible Cable-suspended Manipulator. Scientia Iranica. , 2010, 17: 315-326
20
Alp A B, Agrawal S K. Cable-suspended robots: Design, planning and control, in Proc. IEEE International Conference on Robotics and Automation, Washington D.C. , 2002, 4275-4280
21
Duan Q J, Du J L, Duan B Y, Tang A F. Deployment/retrieval modeling of cable-driven parallel robot. Mathematical Problems in Engineering , 2010, 2010: 1-10 doi: 10.1155/2010/909527
22
Choo Y I, Casarella M J. A survey of analytical methods for dynamic simulation of cable-body systems. Journal of Hydronautics. , 1973, 7(4): 137-144 doi: 10.2514/3.62948
23
Hanes Supply Inc. Rope , 2010, http://www.hanessupply.co