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A cable-based synergy drive approach for variable curvature snake-like robots

Published online by Cambridge University Press:  17 September 2025

Baoyue Lu
Affiliation:
School of Mechanical Engineering, Tianjin University, Tianjin, China
Shuxin Wang
Affiliation:
School of Mechanical Engineering, Tianjin University, Tianjin, China
Lizhi Pan*
Affiliation:
School of Mechanical Engineering, Tianjin University, Tianjin, China
*
Corresponding author: Lizhi Pan; Email: melzpan@tju.edu.cn

Abstract

Cable-driven snake-like robots have been widely applied in various fields. However, some of these robots may have poor operational precision and payload capacity. Moreover, an excessive number of motors would increase the complexity of motion control, and the configuration of driving cables at the distal joints is severely limited by the drive system. Therefore, this study introduces a driving model of cable-driven rolling joints through coordinate-based analysis, and proposes a novel two-degree-of-freedom planar synergy drive system to enable variable curvature at the distal joints. A prototype was designed based on the proposed system, which was put into a precision experiment. Two quantifiable parameters were proposed to demonstrate the advantages of the proposed system. The distal joint precision and the driving model precision were employed as indicators to quantify the performance of the prototype. The maximum mean absolute error of the two indicators was 1.52% and 1.88$^{\circ }$, respectively, and the maximum root mean square error was 1.66% and 2.02$^{\circ }$, respectively. The experimental results demonstrate the feasibility of our approach, which offers increased flexibility in the cable configuration at the distal joints.

Information

Type
Research Article
Copyright
© The Author(s), 2025. Published by Cambridge University Press

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References

Vitiello, V., Lee, S., Cundy, T. P. and Yang, G., “Emerging robotic platforms for minimally invasive surgery,” IEEE Rev. Biomed. Eng. 6, 111126 (2012).Google ScholarPubMed
Zou, Y., Pan, K., Wang, M., Lai, X., Lan, T., Zhou, Z. and Li, C., “Accurate kinematic and stiffness analysis of parallel cable-driven upper limb rehabilitation robot with spherical guide wheel cable-guiding mechanism,” Robotica 43(3), 793815 (2025).10.1017/S0263574724002236CrossRefGoogle Scholar
Chen, J., Yang, J., Qian, F., Lu, Q., Guo, Y., Sun, Z. and Chen, C., “A novel inchworm-inspired soft robotic colonoscope based on a rubber bellows,” Micromachines-BASEL 13(4), 635 (2022).10.3390/mi13040635CrossRefGoogle ScholarPubMed
Li, J., Zhao, Y., Tang, Q., Sun, W., Yuan, F. and Lu, X., “Conceptual design and error analysis of a cable-driven parallel robot,” Robotica 40(7), 21522167 (2022).10.1017/S0263574721001582CrossRefGoogle Scholar
Ping, Z., Zhang, T., Zhang, C., Liu, J. and Zuo, S., “Design of contact-aided compliant flexure hinge mechanism using superelastic nitinol,” J. Mech. Des. 143(11), 114501 (2021).10.1115/1.4050750CrossRefGoogle Scholar
He, C., Wang, S., Xing, Y. and Wang, X., “Kinematics analysis of the coupled tendon-driven robot based on the product-of-exponentials formula,” Mech. Mach. Theory 60, 90111 (2013).10.1016/j.mechmachtheory.2012.10.002CrossRefGoogle Scholar
Racioppo, P. and Ben-Tzvi, P., “Design and control of a cable-driven articulated modular snake robot,” IEEE/ASME Trans. Mechatron. 24(3), 893901 (2019).10.1109/TMECH.2019.2906298CrossRefGoogle Scholar
Qi, X., Shi, H., Pinto, T. and Tan, X., “A novel pneumatic soft snake robot using traveling-wave locomotion in constrained environments,” IEEE Rob. Autom. Lett. 5(2), 16101617 (2020).10.1109/LRA.2020.2969923CrossRefGoogle Scholar
Luo, M., YAn, R., Wan, Z., Qin, Y., Santoso, J., Skorina, E. H. and Onal, C. D., “OriSnake: Design, fabrication, and experimental analysis of a 3-D origami snake robot,” IEEE Rob. Autom. Lett. 3(3), 19931999 (2018).10.1109/LRA.2018.2800112CrossRefGoogle Scholar
Jeon, H., Le, Q. N., Jeong, S., Jang, S., Jung, H., Chang, H., Pandya, H. J. and Kim, Y., “Towards a snake-like flexible robot with variable stiffness using an SMA spring-based friction change mechanism,” IEEE Rob. Autom. Lett. 7(3), 65826589 (2022).Google Scholar
Hu, X., Chen, A., Luo, Y., Zhang, C. and Zhang, E., “Steerable catheters for minimally invasive surgery: A review and future directions,” Comput. Assisted Surg. 23(1), 2141 (2018).10.1080/24699322.2018.1526972CrossRefGoogle ScholarPubMed
Yoshimitsu, K., Kato, T., Song, S. and Hata, N., “A novel four-wire-driven robotic catheter for radio-frequency ablation treatment,” Int. J. Comput. Assisted Radiol. Surg. 9, 867874 (2014).10.1007/s11548-014-0982-3CrossRefGoogle ScholarPubMed
Wang, Z., Wang, T., Zhao, B., He, Y., Hu, Y., Li, B., Zhang, P. and Meng, M., “Hybrid adaptive control strategy for continuum surgical robot under external load,” IEEE Rob. Autom. Lett. 6(2), 14071414 (2021).10.1109/LRA.2021.3057558CrossRefGoogle Scholar
Kim, Y., Cheng, S., Kim, S. and Iagnemma, K., “A stiffness-adjustable hyperredundant manipulator using a variable neutral-line mechanism for minimally invasive surgery,” IEEE Trans. Robot. 30(2), 382395 (2013).10.1109/TRO.2013.2287975CrossRefGoogle Scholar
Kim, J., Kwon, S., Moon, Y. and Kim, K., “Cable-movable rolling joint to expand workspace under high external load in a hyper-redundant manipulator,” IEEE/ASME Trans. Mechatron. 27(1), 501512 (2021).10.1109/TMECH.2021.3067335CrossRefGoogle Scholar
Xu, W., Liu, T. and Li, Y., “Kinematics, dynamics, and control of a cable-driven hyper-redundant manipulator,” IEEE/ASME Trans. Mechatron. 23(4), 16931704 (2018).10.1109/TMECH.2018.2842141CrossRefGoogle Scholar
Kanada, A. and Mashimo, T., “Switching between continuum and discrete states in a continuum robot with dislocatable joints,” IEEE Access 9, 3485934867 (2021).10.1109/ACCESS.2021.3062284CrossRefGoogle Scholar
Suh, J., Lee, J. and Kwon, D., “Underactuated miniature bending joint composed of serial pulleyless rolling joints,” Adv. Robot. 28(1), 114 (2014).10.1080/01691864.2013.854444CrossRefGoogle Scholar
Zhang, D., Sun, Y. and Lueth, T. C., “Design of a novel tendon-driven manipulator structure based on monolithic compliant rolling-contact joint for minimally invasive surgery,” Int. J. Comput. Assisted Radiol. Surg. 16, 16151625 (2021).10.1007/s11548-021-02442-wCrossRefGoogle ScholarPubMed
Suh, J., Kim, K., Jeong, J. and Lee, J., “Design considerations for a hyper-redundant pulleyless rolling joint with elastic fixtures,” IEEE/ASME Trans. Mechatron. 20(6), 28412852 (2015).10.1109/TMECH.2015.2389228CrossRefGoogle Scholar
Loeve, A., Breedveld, P. and Dankelman, J., “Scopes too flexible…and too stiff,” IEEE Pulse 1(3), 2641 (2010).10.1109/MPUL.2010.939176CrossRefGoogle Scholar
Berthet-Rayne, P., Leibrandt, K., Kim, K., Seneci, C. A., Shang, J. and Yang, G.. “Rolling-joint Design Optimization for Tendon Driven Snake-like Surgical Robots.” In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (2018) pp. 2641.Google Scholar
Brown, H. B., Schwerin, M., Shammas, E. and Choset, H.. "Design and Control of a Second-generation Hyper-redundant Mechanism." In: 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems (2007) pp. 26032608.Google Scholar
Li, Z., Wu, L., Ren, H. and Yu, H., “Kinematic comparison of surgical tendon-driven manipulators and concentric tube manipulators,” Mech. Mach. Theory 107, 148165 (2017).Google Scholar
Webster, R. J., Romano, J. M. and Cowan, N. J., “Mechanics of precurved-tube continuum robots,” IEEE Trans. Robot. 25(1), 6778 (2008).10.1109/TRO.2008.2006868CrossRefGoogle Scholar
Mahl, T., Hildebrandt, A. and Sawodny, O., “A variable curvature continuum kinematics for kinematic control of the bionic handling assistant,” IEEE Trans. Robot. 30(4), 935949 (2014).10.1109/TRO.2014.2314777CrossRefGoogle Scholar
Dalvand, M. M., Nahavandi, S. and Howe, R. D., “An analytical loading model for $ n$ -tendon continuum robots,” IEEE Trans. Robot. 34(5), 12151225 (2018).10.1109/TRO.2018.2838548CrossRefGoogle Scholar
Kim, K., Woo, H. and Suh, J.. "Design and Evaluation of a Continuum Robot with Discreted Link Joints for Cardiovascular Interventions." In: 7th IEEE International Conference on Biomedical Robotics and Biomechatronics (Biorob) (2018) pp. 627633.Google Scholar
Hwang, M. and Kwon, D., “K-FLEX: A flexible robotic platform for scar-free endoscopic surgery,” Int. J. Med. Rob. Comput. Assisted Surg. 16(2), e2078 (2020).Google ScholarPubMed
Dehghani, H., Farritor, S., Oleynikov, D. and Terry, B., “Automation of suturing path generation for da vinci-like surgical robotic systems,” Front. Biomed. Devices 40789, V001T07A008 (2018).Google Scholar
Pedram, S. A., Shin, C., Ferguson, P. W., Ma, J., Dutson, E. P. and Rosen, J., “Autonomous suturing framework and quantification using a cable-driven surgical robot,” IEEE Trans. Robot. 37(2), 404417 (2020).10.1109/TRO.2020.3031236CrossRefGoogle Scholar
Shin, C., Ferguson, P. W, Pedram, S. A., Ma, J., Dutson, E. P. and Rosen, J.. "Autonomous Tissue Manipulation Via Surgical Robot Using Learning Based Model Predictive Control." In: International Conference on Robotics and Automation (ICRA) (2019) pp. 38753881.Google Scholar
Li, Z., Ren, H., Chiu, P. W. Y., Du, R. and Yu, H., “A novel constrained wire-driven flexible mechanism and its kinematic analysis,” Mech. Mach. Theory 95, 5975 (2016).10.1016/j.mechmachtheory.2015.08.019CrossRefGoogle Scholar
Le, H. M., Do, T. N. and Phee, S. J., “A novel constrained wire-driven flexible mechanism and its kinematic analysis,” Sens. Actuat. A Phys. 247, 323354 (2016).10.1016/j.sna.2016.06.010CrossRefGoogle Scholar
Friedman, D. C., Lendvay, T. S. and Hannaford, B., “Instrument failures for the da Vinci surgical system: A Food and Drug Administration MAUDE database study,” Surg. Endosc. 27, 15031508 (2013).10.1007/s00464-012-2659-8CrossRefGoogle Scholar
Qin, G., Ji, A., Cheng, Y., Zhao, W., Pan, H., Shi, S. and Song, Y., “A snake-inspired layer-driven continuum robot,” Soft Robot. 9(4), 788797 (2022).Google ScholarPubMed
Yoshikawa, D., Shimizu, M. and Umedachi, T., “A single motor-driven continuum robot that can be designed to deform into a complex shape with curvature distribution,” ROBOMECH J. 10(1), 18 (2023).10.1186/s40648-023-00257-9CrossRefGoogle Scholar
Oliver-Butler, K., Till, J. and Rucker, C., “Continuum robot stiffness under external loads and prescribed tendon displacements,” IEEE Trans. Robot. 35(2), 403419 (2019).Google Scholar
Xu, K., Zhao, J. and Fu, M., “Development of the SJTU unfoldable robotic system (SURS) for single port laparoscopy,” IEEE/ASME Trans. Mechatron. 20(5), 21332145 (2015).10.1109/TMECH.2014.2364625CrossRefGoogle Scholar
Ryu, H.-T., Oh, S.-M., Tae, K. and Yi, B.-J., “DNA-helix inspired wire routing in cylindrical structures and its application to flexible surgical devices,” Soft Robot. 9(2), 337353 (2022).Google ScholarPubMed