Motion Analysis of Bending Bar Tensegrity Robot
Publication: Journal of Aerospace Engineering
Volume 37, Issue 5
Abstract
Inspired by buckle-induced structural deformation, a new type of tensegrity robot using bending bars is proposed. First, a combination of numerical calculation and the finite-element simulation method was adopted to determine the influence of geometric parameters on equivalent stiffness, and the basic configuration parameters were determined. Then, the tensegrity dynamical model and the ground contact model were established using a nonlinear finite-element method, and four rolling gaits of the robot were realized by driving diagonal cables. Finally, an experimental prototype of the bending bar tensegrity robot was built for rolling gait experiments. The results show that the experimental rolling motion is in good agreement with the theoretical model. Through continuous curve path rolling, the minimum turning radius of the robot was determined, and the motion mode of the prismatic tensegrity robot was enriched.
Practical Applications
Tensegrity structure is a self-balancing system composed of compression bars and tension cables, which has aroused numerous scholars’ research interest in civil architecture, mechanical engineering, aerospace, biomedical, and other fields. The results cover model design, form-finding analysis, static equilibrium stability analysis, optimization design, dynamic response analysis, and so on. In fact, when the tensegrity mechanism is applied to a mobile robot, a change in shape can be achieved by shortening some cables with the actuator, so the system’s stiffness contradicts the ability to deform. The focus of this work is to propose a new type of bending bar design that can replace the spring to meet the needs of large deformation and avoid weakening the structure’s overall stiffness. This design realizes the rolling motion mode of the robot and can be applied to the motion mode of other prismatic tensegrity robots.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This research was funded in part by the National Natural Science Foundation of China under Grant No. 51875111 and the Heilongjiang Provincial Fund under Grant No. LH2020E062.
References
Baines, R. L., J. W. Booth, and R. Kramer-Bottiglio. 2020. “Rolling soft membrane-driven tensegrity robots.” IEEE Rob. Autom. Lett. 5 (4): 6567–6574. https://doi.org/10.1109/LRA.2020.3015185.
Booth, J. W., O. Cyr-Choiniere, J. C. Case, D. Shah, M. C. Yuen, and R. Kramer-Bottiglio. 2021. “Surface actuation and sensing of a tensegrity structure using robotic skins.” Soft Rob. 8 (5): 531–541. https://doi.org/10.1089/soro.2019.0142.
Chen, L. H., et al. 2017. “Inclined surface locomotion strategies for spherical tensegrity robots.” In Proc., IEEE/RSJ Int. Conf. on Intelligent Robots & Systems. New York: IEEE. https://doi.org/10.1109/IROS.2017.8206380.
Chen, M., A. Fraddosio, A. Micheletti, G. Pavone, M. D. Piccioni, and R. E. Skelton. 2023a. “Analysis of clustered cable-actuation strategies of V-Expander tensegrity structures.” Eng. Struct. 296 (Dec): 116868. https://doi.org/10.1016/j.engstruct.2023.116868.
Chen, M., A. Fraddosio, A. Micheletti, G. Pavone, M. D. Piccioni, and R. E. Skelton. 2023b. “Analysis of optimal deployment strategy for large deployable tensegrity space antennas.” In Italian Workshop on Shell and Spatial Structures, 847–856. Cham, Switzerland: Springer.
Chen, M., A. Fraddosio, A. Micheletti, G. Pavone, M. D. Piccioni, and R. E. Skelton. 2023c. “Energy-efficient cable-actuation strategies of the V-Expander tensegrity structure subjected to five shape changes.” Mech. Res. Commun. 127 (Jan): 104026. https://doi.org/10.1016/j.mechrescom.2022.104026.
Feng, X. 2018. “Geometrical nonlinear dynamic analysis of tensegrity systems via the corotational formulation.” J. Mech. Mater. Struct. 13 (3): 263–281. https://doi.org/10.2140/jomms.2018.13.263.
Fraddosio, A., A. Micheletti, G. Pavone, and M. D. Piccioni. 2024. “A fast strategy to determine efficient shape changes of adaptable V-Expander tensegrity columns.” J. Struct. Eng. 150 (4): 04024025. https://doi.org/10.1061/JSENDH.STENG-12190.
Fraddosio, A., G. Pavone, and M. D. Piccioni. 2021. “A novel method for determining the feasible integral self-stress states for tensegrity structures.” Curved Layered Struct. 8 (1): 70–88. https://doi.org/10.1515/cls-2021-0007.
Friesen, J. M., J. L. Dean, T. Bewley, and V. Sunspiral. 2018. “A tensegrity-inspired compliant 3-DOF compliant joint.” In Proc., 2018 IEEE Int. Conf. on Robotics and Automation (ICRA), 3301–3306. New York: IEEE.
Kan, Z., H. Peng, B. Chen, X. Xie, and L. Sun. 2019. “Investigation of strut collision in tensegrity statics and dynamics.” Int. J. Solids Struct. 167 (Aug): 202–219. https://doi.org/10.1016/j.ijsolstr.2019.03.012.
Kang, W., Z. Chen, H. F. Lam, and C. Zhou. 2003. “Analysis and design of the general and outmost-ring stiffened suspen-dome structures.” Eng. Struct. 25 (13): 1685–1695. https://doi.org/10.1016/S0141-0296(03)00149-4.
Kaufhold, T., F. Schale, V. Böhm, and K. Zimmermann. 2017. “Indoor locomotion experiments of a spherical mobile robot based on a tensegrity structure with curved compressed members.” In Proc., 2017 IEEE Int. Conf. on Advanced Intelligent Mechatronics (AIM), 523–528. New York: IEEE.
Kim, K. 2016. On the locomotion of spherical tensegrity robots. Berkeley, CA: Univ. of California, Berkeley.
Li, W. Y., H. Nabae, G. Endo, and K. Suzumori. 2020. “New soft robot hand configuration with combined biotensegrity and thin artificial muscle.” IEEE Rob. Autom. Lett. 5 (3): 4345–4351. https://doi.org/10.1109/LRA.2020.2983668.
Liu, H., C. Wang, Y. Zou, and A. Luo. 2022. “Splicing and kinematic analysis based on tensegrity with curved bars.” In Vol. 12261 of Proc., Int. Conf. on Mechanical Design and Simulation (MDS 2022), 680–693. Bellingham: SPIE.
Luo, A., Z. Cao, H. Liu, and Y. Feng. 2023. “Stiffness of three-bar tensegrity structure.” Eng. Comput. 40 (4): 823–835. https://doi.org/10.1108/EC-10-2022-0642.
Ma, S., M. Chen, and R. E. Skelton. 2022. “TsgFEM: Tensegrity finite element method.” J. Open Source Software 7 (75): 3390. https://doi.org/10.21105/joss.03390.
Mhatre, S., E. Boatti, D. Melancon, A. Zareei, M. Dupont, M. Bechthold, and K. Bertoldi. 2021. “Deployable structures based on buckling of curved beams upon a rotational input.” Adv. Funct. Mater. 31 (35): 2101144. https://doi.org/10.1002/adfm.202101144.
Nidhi, S., and Y. Hanna. 2020. Modeling and simulating dice. New York: New York Univ.
Rhodes, T., C. Gotberg, and V. Vikas. 2019. “Compact shape morphing tensegrity robots capable of locomotion.” Front. Rob. AI 6 (Nov): 111. https://doi.org/10.3389/frobt.2019.00111.
Schorr, P., V. Böhm, L. Zentner, and K. Zimmermann. 2018. “Dynamical investigation of crawling motion system based on a multistable tensegrity structure.” In Proc., ICINCO, 132–140. Portugal: Institute for Systems and Technologies of Information, Control and Communication. https://doi.org/10.5220/0006852701220130.
Schorr, P., E. R. C. Li, T. Kaufhold, J. A. R. Hernández, L. Zentner, K. Zimmermann, and V. Böhm. 2021. “Kinematic analysis of a rolling tensegrity structure with spatially curved members.” Meccanica 56 (4): 953–961. https://doi.org/10.1007/s11012-020-01199-x.
Shah, D. S., J. W. Booth, R. L. Baines, K. Wang, M. Vespignani, K. Bekris, and R. Kramer-Bottiglio. 2022. “Tensegrity robotics.” Soft Rob. 9 (4): 639–656. https://doi.org/10.1089/soro.2020.0170.
Surovik, D., J. Bruce, K. Wang, M. Vespignani, and K. Bekris. 2020. “Any-axis tensegrity rolling via symmetry-reduced reinforcement learning.” In Proc., 2018 Int. Symp. on Experimental Robotics, 411–421. Cham, Switzerland: Springer. https://doi.org/10.1007/978-3-030-33950-036.
Wang, L. L. 2019. Mechanical modelling analysis based on the structure of adherent cells. Beijing: Tongfang Knowledge Network (Beijing) Technology. https://doi.org/10.27352/d.cnki.gylgu.2019.000074.
Wang, X., Z. Ling, C. Qiu, Z. Song, and R. Kang. 2022. “A four-prism tensegrity robot using a rolling gait for locomotion.” Mech. Mach. Theory 172 (Jun): 104828. https://doi.org/10.1016/j.mechmachtheory.2022.104828.
Zappetti, D., S. H. Jeong, J. Shintake, and D. Floreano. 2020. “Phase changing materials-based variable-stiffness tensegrity structures.” Soft Rob. 7 (3): 362–369. https://doi.org/10.1089/soro.2019.0091.
Zhao, K., J. Chang, B. Li, and W. Du. 2020. “Rolling direction prediction of tensegrity robot on the slope based on FEM and GA.” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. 234 (19): 3846–3858. https://doi.org/10.1177/0954406220916482.
Zhu, D. M., F. Ding, H. P. Liu, and G. Y. Liu. 2019. “Mechanical properties of a photosensitive resin structure.” Chin. J. Eng. 41 (4): 512–520.
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Published In
Journal of Aerospace Engineering
Volume 37 • Issue 5 • September 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Oct 24, 2023
Accepted: Mar 8, 2024
Published online: Jun 13, 2024
Published in print: Sep 1, 2024
Discussion open until: Nov 13, 2024
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