Abstract
A cable-driven parallel manipulator has been chosen to suspend and navigate instruments over a phenotyping research facility at the University of Nebraska. This paper addresses the static analysis and dimensional optimization of this system. Analysis of the system was performed with catenary simplification to create force equilibrium equations and define a mathematical model. The model incorporates flexibility due to catenary sag of the cables. Cable axial stiffness was not included because stiffness is dominated by catenary flexibility for the expected cable tensions. The model was used to optimize system dimensions, and a twelfth-scale system was constructed to verify the model as well as enable dynamic and control system experimentation during full-scale system construction. Miniature end-effectors were used to obtain end-effector orientation and cable tension measurements which were comparable to model predictions. The mathematical model was thereby shown to be accurate for the purpose of system static analysis.
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Notes
- 1.
After the first iteration of solving the force and moment equilibrium equations is performed, the end-effector is changed from a point-mass to a rigid body, oriented based on the prediction created by the results of the first iteration of moment equations.
- 2.
Data given for 68 kg end-effector, 3 m above ground.
- 3.
End-effector weight was found to have no impact on \( \eta_{max} \).
- 4.
End-effector weight was found to have no impact on end-effector inclination angle.
- 5.
For tension testing, points are located at heights of 0.25 m (lowest feasible elevation for given end-effector) and 1.14 m (maximum safe operating height for given weight).
- 6.
Rather than using a 0.535 kg end-effector for the tension tests, a 1.9 kg end-effector was used. This was done to increase cable tensions to a level more appropriate for the utilized load cells.
References
Hiller, M., Fang, S., Mielczarek, S., Verhoeven, R., Franitza, D.: Design, analysis and realization of tendon-based parallel manipulators. Mech. Mach. Theory 40(4), 429–445 (2005)
Yao, R., Tang, X., Wang, J., Huang, P.: Dimensional optimization design of the four-cable-driven parallel manipulator in FAST. IEEE ASME Trans. Mechatron. 15(6), 932–941 (2010)
Kawamura, S., Choe, W., Tanaka, S., Pandian, S.R.: Development of an ultrahigh speed robot FALCON using wire drive system. In: 1995 Proceedings of the IEEE International Conference on Robotics and Automation, vol. 1, pp. 215–220 (1995)
Zi, B., Duan, B.Y., Du, J.L., Bao, H.: Dynamic modeling and active control of a cable-suspended parallel robot. Mechatronics 18(1), 1–12 (2008)
Fang, S., Franitza, D., Torlo, M., Bekes, F., Hiller, M.: Motion control of a tendon-based parallel manipulator using optimal tension distribution. IEEE ASME Trans. Mechatron. 9(3), 561–568 (2004)
Suilu, Y., Zhao, W., Qi, L., Yixin, C.: Stiffness analysis of a wire-driven parallel manipulator. In: 2012 IEEE International Conference on Computer Science and Automation Engineering (CSAE), vol. 3, pp. 31–34 (2012)
Yamamoto, M., Yanai, N., Mohri, A.: Trajectory control of incompletely restrained parallel-wire-suspended mechanism based on inverse dynamics. IEEE Trans. Robot. 20(5), 840–850 (2004)
Bin, L., Yinghui, L., Xuegang, Y.: Dynamic modeling and simulation of flexible cable with large sag. Appl. Math. Mech. 21(6), 707–714 (2000)
Kozak, K., Zhou, Q., Wang, J.: Static analysis of cable-driven manipulators with non-negligible cable mass. IEEE Trans. Robot. 22(3), 425–433 (2006)
Russell, J.C., Lardner, T.J.: Statics experiments on an elastic catenary. J. Eng. Mech. 123(12), 1322–1324 (1997)
Nan, R., Li, D., Jin, C., Wang, Q., Zhu, L., Zhu, W., Zhang, H., Yue, Y., Qian, L.: The five-hundred-meter aperture spherical radio telescope (FAST) project. Int. J. Mod. Phys. D 20(6), 989–1024 (2011)
Costello, E.: Length of a hanging cable. Undergrad. J. Math. Model One Two 4(1) (2011)
Yingjie, L., Wenbai, Z., Gexue, R.: Feedback control of a cable-driven gough-stewart platform. IEEE Trans. Robot. 22(1), 198–202 (2006)
Yang, G., Pham, C.B., Yeo, S.H.: Workspace performance optimization of fully restrained cable-driven parallel manipulators. In: 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 85–90 (2006)
Maeda, K., Tadokoro, S., Takamori, T., Hiller, M., Verhoeven, R.: On design of a redundant wire-driven parallel robot WARP manipulator. In: 1999 Proceedings of the IEEE International Conference on Robotics and Automation, vol. 2, pp. 895–900 (1999)
Ebert-Uphoff, I., Voglewede, P.A.: On the connections between cable-driven robots, parallel manipulators and grasping. In: 2004 Proceedings of the IEEE International Conference on Robotics and Automation, ICRA 2004, vol. 5, pp. 4521–4526 (2004)
Shen, Y., Osumi, H., Arai, T.: Manipulability measures for multi-wire driven parallel mechanisms In: Proceedings of the IEEE International Conference on Industrial Technology, pp. 550–554 (1994)
Voglewede, P.A., Ebert-Uphoff, I.: Measuring ‘closeness’ to singularities for parallel manipulators. In: 2004 Proceedings of the IEEE International Conference on Robotics and Automation, ICRA 2004, vol. 5, pp. 4539–4544 (2004)
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Newman, M., Zygielbaum, A., Terry, B. (2018). Static Analysis and Dimensional Optimization of a Cable-Driven Parallel Robot. In: Gosselin, C., Cardou, P., Bruckmann, T., Pott, A. (eds) Cable-Driven Parallel Robots. Mechanisms and Machine Science, vol 53. Springer, Cham. https://doi.org/10.1007/978-3-319-61431-1_14
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DOI: https://doi.org/10.1007/978-3-319-61431-1_14
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