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Structure design and kinematic performance of the deployable translational parallel tape-spring manipulator

Published online by Cambridge University Press:  22 March 2024

Hu Liu
Affiliation:
School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, China
Yawen Qin
Affiliation:
School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, China
Yi Yang*
Affiliation:
School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, China
*
Corresponding author: Yi Yang; E-mail: [email protected].

Abstract

A deployable manipulator has the characteristics of a small installation space and a large workspace, which has great application prospects in small unmanned platforms. Most existing deployable manipulators are designed based on rigid links, whose complexity and mass inevitably increase sharply with increasing numbers of rigid links and joints. Inspired by the remarkable properties of tape springs, this paper proposes novel deployable parallel tape-spring manipulators with low mass, simple mechanics, and a high deployed-to-folded ratio. First, a double C-shaped tape spring is presented to improve the stability of the structure. The combined fixed drive component (CFDC) and combined mobile drive component (CMDC) are designed. Then, novel 2-DOF and 3-DOF deployable translational parallel manipulators are proposed based on the CFDC and CMDC, and their degrees-of-freedom (DOFs), kinematics, and stability are analyzed. The coiled tape spring is regarded as an Archimedean spiral, which can significantly improve the accuracy of kinematic analysis. The correction coefficient of the Euler formula is obtained by comparison with simulation results and experimental results. Furthermore, the stability spaces of the 2-DOF and 3-DOF deployable parallel manipulators are given. Finally, a prototype is fabricated, and experiments are conducted to validate the proposed design and analysis.

Type
Research Article
Copyright
© The Author(s), 2024. Published by Cambridge University Press

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References

You, Z. and Pellegrino, S., “Foldable bar structures,” Int J Solids Struct 34(15), 18251847 (1997). doi: 10.1016/S0020-7683(96)00125-4.CrossRefGoogle Scholar
Kiper, G., Söylemez, E. and Kişisel, A. U. O., “A family of deployable polygons and polyhedra,” Mech Mach Theory 43(5), 627640 (2008). doi: 10.1016/j.mechmachtheory.2007.04.011.CrossRefGoogle Scholar
Ding, X., Yang, Y. and Dai, J. S., “Design and kinematic analysis of a novel prism deployable mechanism,” Mech Mach Theory 63, 3549 (2013). doi: 10.1016/j.mechmachtheory.2013.01.001.CrossRefGoogle Scholar
Lyu, S., Zlatanov, D., Zoppi, M., Ding, X., Chirikjian, G. S. and Guest, S. D., “Bundle folding type III bricard linkages,” Mech Mach Theory 144, 103663 (2020). doi: 10.1016/j.mechmachtheory.2019.103663.CrossRefGoogle Scholar
Wang, J. and Kong, X., “Deployable mechanisms constructed by connecting orthogonal bricard linkages, 8R or 10R single-loop linkages using S joints,” Mech Mach Theory 120, 178191 (2018). doi: 10.1016/j.mechmachtheory.2017.09.017.CrossRefGoogle Scholar
Zhang, W., Lu, S. and Ding, X., “Recent development on innovation design of reconfigurable mechanisms in China,” Front Mech Eng 14(1), 1520 (2019). doi: 10.1007/S11465-018-0517-7.CrossRefGoogle Scholar
Chen, Y., Yang, F. and You, Z., “Transformation of polyhedrons,” Int J Solids Struct 138, 193204 (2018). doi: 10.1016/j.ijsolstr.2018.01.012.CrossRefGoogle Scholar
Li, R., Yao, Y.-A. and Ding, X., “A family of reconfigurable deployable polyhedral mechanisms based on semiregular and Johnson polyhedra,” Mech Mach Theory 126, 344358 (2018). doi: 10.1016/J.MECHMACHTHEORY.2018.04.021.CrossRefGoogle Scholar
Pierrot, F., Reynaud, C. and Fournier, A., “Delta: A simple and efficient parallel robot,” Robotica 8(2), 105109 (1990). doi: 10.1017/S0263574700007669.CrossRefGoogle Scholar
Siciliano, B., “Tricept robot: Inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm,” Robotica 17(4), 437445 (1999). doi: 10.1017/S0263574799001678.CrossRefGoogle Scholar
Chablat, D. and Wenger, P., “Architecture optimization of a 3-DOF translational parallel mechanism for machining applications, the orthoglide,” IEEE Trans Robotic Autom 19(3), 403410 (2003). doi: 10.1109/TRA.2003.810242.CrossRefGoogle Scholar
Liu, X.-J., Jeong, J. I. and Kim, J., “A three translational DoFs parallel cube-manipulator,” Robotica 21(6), 645653 (2003). doi: 10.1017/S0263574703005198.CrossRefGoogle Scholar
Carricato, M. and Parenti-Castelli, V., “Kinematics of a family of translational parallel mechanisms with three 4-DOF legs and rotary actuators,” J Robot Syst 20(7), 373389 (2003). doi: 10.1002/rob.10092.CrossRefGoogle Scholar
Kong, X. and Gosselin, C. M., “Type synthesis of 3-DOF translational parallel manipulators based on screw theory,” J Mech Design 126(1), 8392 (2004). doi: 10.1115/1.1637662.CrossRefGoogle Scholar
Yu, W., Wang, H. and Chen, G., “Design and kinematic analysis of a 3-translational-DOF spatial parallel mechanism based on polyhedra,” Mech Mach Theory 121, 92115 (2018). doi: 10.1016/j.mechmachtheory.2017.10.020.CrossRefGoogle Scholar
Kong, X. and Gosselin, C. M., “Type synthesis of 3-DOF spherical parallel manipulators based on screw theory,” J Mech Design 126(1), 101108 (2004). doi: 10.1115/1.1637655.CrossRefGoogle Scholar
Di Gregorio, R., “A new family of spherical parallel manipulators,” Robotica 20(4), 353358 (2002). doi: 10.1017/S0263574702004174.CrossRefGoogle Scholar
Shi, D., Zhang, W., Zhang, W. and Ding, X., “Assist-as-needed attitude control in three-dimensional space for robotic rehabilitation,” Mech Mach Theory 154, 104044 (2020). doi: 10.1016/j.mechmachtheory.2020.104044.CrossRefGoogle Scholar
Wang, Z., Zhang, W. and Ding, X., “Design and analysis of a novel mechanism with a two-DOF remote centre of motion,” Mech Mach Theory 153, 103990 (2020). doi: 10.1016/j.mechmachtheory.2020.103990.CrossRefGoogle Scholar
Marlow, K., Isaksson, M., Dai, J. S. and Nahavandi, S., “Motion/Force transmission analysis of parallel mechanisms with planar closed-loop subchains,” J Mech Design 138(6), 062302, 11 pages (2016). doi: 10.1115/1.4033338.CrossRefGoogle Scholar
Meng, Q., Xie, F., Liu, X.-J. and Takeda, Y., “An evaluation approach for motion-force interaction performance of parallel manipulators with closed-loop passive limbs,” Mech Mach Theory 149, 103844 (2020). doi: 10.1016/j.mechmachtheory.2020.103844.CrossRefGoogle Scholar
Gonzalez, D. J. and Asada, H. H., “Design and analysis of 6-DOF triple scissor extender robots with applications in aircraft assembly,” IEEE Robot Autom Lett 2(3), 14201427 (2017). doi: 10.1109/LRA.2017.2671366.CrossRefGoogle Scholar
Chablat, D., Rolland, L. and Luc, R., “Design of mechanisms with scissor linear joints for swept volume reduction” (2016) 23.Google Scholar
Yang, Y., Tian, Y., Peng, Y. and Pu, H., “A novel 2-DOF planar translational mechanism composed by scissor-like elements,” Mech Sci 8(1), 179193 (2017). doi: 10.5194/ms-8-179-2017.CrossRefGoogle Scholar
Yang, Y., Peng, Y., Pu, H., Chen, H., Ding, X., Chirikjian, G. S. and Lyu, S., “Deployable parallel lower-mobility manipulators with scissor-like elements,” Mech Mach Theory 135, 226250 (2019). doi: 10.1016/j.mechmachtheory.2019.01.013.CrossRefGoogle Scholar
Yang, Y., Liu, H., Zheng, H., Peng, Y. and Yu, Y., “Two types of remote-center-of-motion deployable manipulators with dual scissor-like mechanisms,” Mech Mach Theory 160, 104274 (2021). doi: 10.1016/j.mechmachtheory.2021.104274.CrossRefGoogle Scholar
Yang, Y., Tang, L., Zheng, H., Zhou, Y., Peng, Y. and Lyu, S., “Kinematic stability of a 2-DOF deployable translational parallel manipulator,” Mech Mach Theory 160, 104261 (2021). doi: 10.1016/j.mechmachtheory.2021.104261.CrossRefGoogle Scholar
Liu, H., Yang, Y., Zhao, Y., Yang, Y., Peng, Y., Pu, H. and Zhou, Y., “Learning-based kinematic control of a deployable manipulator with long span and low stiffness,” IEEE/ASME Trans Mech 29(1), 742753 (2024). doi: 10.1109/TMECH.2023.3296698.CrossRefGoogle Scholar
Li, G., Huang, H., Guo, H. and Li, B., “Design, analysis and control of a novel deployable grasping manipulator,” Mech Mach Theory 138, 182204 (2019). doi: 10.1016/j.mechmachtheory.2019.03.043.CrossRefGoogle Scholar
De Jong, M. G., Van De Sande, W. W. P. J. and Herder, J. L., “Properties of twofold tape loops: The influence of the subtended angle,” J Mech Robot 11(2), 020912, 7 pages (2019). doi: 10.1115/1.4042641/472393.CrossRefGoogle Scholar
Vehar, C., Kota, S. and Dennis, R., “Closed-Loop Tape Springs as Fully Compliant, Mechanisms -Preliminary Investigations,” In: Proceedings of the ASME Design Engineering Technical Conference and Computers and Information in Engineering Conference, vol. 46954, (2004) pp. 10231032. doi: 10.1115/DETC2004-57403.CrossRefGoogle Scholar
Calladine, C. R., “The Theory of Thin Shell Structures 1888–1988,” Proceed Inst Mech Eng, Part A: Power Proc Eng 202(3), 141149 (1988). doi: 10.1243/PIME_PROC_1988_202_020_02.CrossRefGoogle Scholar
Seffen, K. A. and Pellegrino, S., “Deployment dynamics of tape springs,” Proceed Roy Soc London. A: Math Phys Eng Sci 455(1983), 10031048 (1999). doi: 10.1098/RSPA.1999.0347.CrossRefGoogle Scholar
Hochreiter, S. and Schmidhuber, J., “Long short-term memory, neural comput,” Neu comp 9(8), 17351780 (1997). doi: 10.1162/neco.1997.9.8.1735.CrossRefGoogle Scholar
Seriani, S. and Gallina, P., “A storable tubular extendible member (STEM) parallel robot: Modelization and evaluation,” Mech Mach Theory 90, 95107 (2015). doi: 10.1016/j.mechmachtheory.2015.03.010.CrossRefGoogle Scholar
Lee, D.-J. and Jung, G.-P., “Snatcher: A highly mobile chameleon-inspired shooting and rapidly retracting manipulator,” IEEE Robot Autom Lett 5(4), 60976104 (2020). doi: 10.1109/LRA.2020.3010744.CrossRefGoogle Scholar
Yang, Y., Qin, Y., Tang, Y., Yang, Y., Peng, Y. and Pu, H., “Deployable closed-loop tape-spring manipulators with mobile drive components on localized folds,” Mech Mach Theory 167, 104553 (2022). doi: 10.1016/j.mechmachtheory.2021.104553.CrossRefGoogle Scholar
Gogu, G., “Chebychev-Grübler-Kutzbach’s criterion for mobility calculation of multi-loop mechanisms revisited via theory of linear transformations,” European J Mech - A/Solids 24(3), 427441 (2005). doi: 10.1016/J.EUROMECHSOL.2004.12.003.CrossRefGoogle Scholar
Gogu, G., “Mobility of mechanisms: A critical review, mech mach theory,” Mech Mach Theory 40(9), 10681097 (2005). doi: 10.1016/J.MECHMACHTHEORY.2004.12.014.CrossRefGoogle Scholar
Dai, J. S. and Jones, J. R., “Mobility in metamorphic mechanisms of foldable/Erectable kinds,” J Mech Design 121(3), 375382 (1999). doi: 10.1115/1.2829470.CrossRefGoogle Scholar
Zureick, A. and Scott, D., “Short-term behavior and design of fiber-reinforced polymeric slender members under axial compression,” J Compos Constr 1(140), 140149 (1997). doi: 10.1061/(ASCE)1090-0268(1997)1:.CrossRefGoogle Scholar
Dulácska, E. and Kollár, L., “Buckling analysis of reticulated shells, http://Dx.Doi.Org/10.1260/0266351001495134,” Int J Space Struc 15(3), 195203 (2000). doi: 10.1260/0266351001495134.CrossRefGoogle Scholar
Lee, M. K., Lee, H., Lee, T. S. and Jang, H., “Buckling sensitivity of a connecting rod to the shank sectional area reduction,” Mater Des 31(6), 27962803 (2010). doi: 10.1016/J.MATDES.2010.01.010.CrossRefGoogle Scholar