This paper proposes a novel motion design for a snake robot to move freely in a space between two adjacent walls. Snake robots are expected to be useful in several difficult environments because of their high degrees of freedom. Particularly, they are suitable for use in narrow spaces. However, freely moving in narrow spaces, such as spaces between two adjacent walls, remains an open problem. In this study, inspired by helical rolling motion, which is used to move on a pipe, we propose a novel motion method that enables a snake robot to move freely in a narrow space between two adjacent walls. The motion and model are validated using physical simulations.

1. [1] B. C. Jayne, “What defines different modes of snake locomotion?,” Integrative and comparative biology, Vol.60, No.1, pp. 156-170, 2020. https://doi.org/10.1093/icb/icaa017
2. [2] E. Kelasidi, P. Liljeback, K. Y. Pettersen, and J. T. Gravdahl, “Innovation in underwater robots: Biologically inspired swimming snake robots,” IEEE Robotics and Automation Magazine, Vol.23, No.1, pp. 44-62, 2016. https://doi.org/10.1109/MRA.2015.2506121
3. [3] M. Tanaka, M. Nakajima, Y. Suzuki, and K. Tanaka, “Development and control of articulated mobile robot for climbing steep stairs,” IEEE/ASME Trans. on Mechatronics, Vol.23, No.2, pp. 531-541, 2018. https://doi.org/10.1109/TMECH.2018.2792013
4. [4] B. Li, L. Chen, and Y. Lv, “Development of a snake-like robot adapting to the ground,” ICARCV 2004 8th Control, Automation, Robotics and Vision Conf., Vol.1, pp. 273-277, 2004. https://doi.org/10.1109/ICARCV.2004.1468836
5. [5] S. Ma, F. Qin, S. Chen, L. Li, J. Wang, Z. Wang, S. Lie, and X. Xiao, “Self-adaptive rolling motion for snake robots in unstructured environments based on torque control,” Biomimetic Intelligence and Robotics, Vol.3, Article No.100117, 2023. https://doi.org/10.1016/j.birob.2023.100117
6. [6] S. Ali, “Dynamic modeling and simulation of a snake-like multibody robotic system with ground-adaptive strategy and efficient undulatory locomotion,” Multibody System Dynamics, Vol.62, pp. 235-247, 2024. https://doi.org/10.1007/s11044-024-09967-3
7. [7] T. Takemori, M. Tanaka, and F. Matsuno, “Adaptive helical rolling of a snake robot to a straight pipe with irregular cross-sectional shape,” IEEE Trans. on Robotics, Vol.39, No.1, pp. 437-451, 2023. https://doi.org/10.1109/TRO.2022.3189224
8. [8] T. Takanishi, M. Nakajima, T. Takemori, and M. Tanaka, “Obstacle-aided locomotion of a snake robot using piecewise helixes,” IEEE Robotics and Automation Letters, Vol.7, No.4, pp. 10542-10549, 2022. https://doi.org/10.1109/LRA.2022.3194689
9. [9] S. Hirose and H. Yamada, “Snake-like robots [tutorial],” IEEE Robotics and Automation Magazine, Vol.16, No.1, pp. 88-98, 2009. https://doi.org/10.1109/MRA.2009.932130
10. [10] J. K. Hopkins, B. W. Spranklin, and S. K. Gupta, “A survey of snake-inspired robot designs,” Bioinspiration and Biomimetics, Vol.4, No.2, Article No.021001, 2009. https://doi.org/10.1088/1748-3182/4/2/021001
11. [11] J. Liu, Y. Tong, and J. Liu, “Review of snake robots in constrained environments,” Robotics and Autonomous Systems, Vol.41, Article No.103785, 2021. https://doi.org/10.1016/j.robot.2021.103785
12. [12] H. Marvi, C. Gong, N. Gravish, H. Astley, M. Travers, R. L. Hatton, J. R. Mendelson III, H. Choset, D. L. Hu, and D. I. Goldman, “Sidewinding with minimal slip: Snake and robot ascent of sandy slopes,” Science, Vol.346, No.6206, pp. 224-229, 2014. https://doi.org/10.1126/science.1255718
13. [13] A. A. Transeth, R. I. Leine, C. Glocker, K. Y. Pettersen, and P. Liljebäck, “Snake Robot Obstacle-Aided Locomotion: Modeling, Simulations, and Experiments,” IEEE Trans. on Robotics, Vol.24, No.1, pp. 88-104, 2008. https://doi.org/10.1109/TRO.2007.914849
14. [14] T. Takemori, M. Tanaka, and F. Matsuno, “Ladder climbing with a snake robot,” 2018 IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (IROS), 2018. https://doi.org/10.1109/IROS.2018.8594411
15. [15] R. Watanabe and M. Tanaka, “Principle of object support by rope deformation and its application to rope climbing by snake robot,” Advanced Robotics, Vol.37, No.9, pp. 591-602, 2023. https://doi.org/10.1080/01691864.2023.2170189
16. [16] A. A. Transeth and K. Y. Pettersen, “Developments in snake robot modeling and locomotion,” IEEE 2006 9th Int. Conf. on Control, Automation, Robotics and Vision, 2006. https://doi.org/10.1109/ICARCV.2006.345142
17. [17] A. Akbarzadeh, J. Safehian, J. Safehian, and H. Kalani, “Generating snake robot concertina locomotion using a new dynamic curve,” Int. J. of Modeling and Optimization, Vol.1, No.2, Article No.134, 2011. https://doi.org/10.7763/IJMO.2011.V1.24
18. [18] I. Virgala, M. Kelemen, P. Božek, Z. Bobovský, M. Hagara, E. Prada, P. Oščádal, and M. Varga, “Investigation of snake robot locomotion possibilities in a pipe,” Symmetry, Vol.12, No.6, Article No.939, 2020. https://doi.org/10.3390/sym12060939
19. [19] F. Barazandeh, B. Bahr, and A. Moradi, “How self-locking reduces actuators torque in climbing snake robots,” 2007 IEEE/ASME Int. Conf. on Advanced Intelligent Mechatronics, 2007. https://doi.org/10.1109/AIM.2007.4412524
20. [20] T. Kamegawa, T. Harada, and A. Gofuku, “Realization of cylinder climbing locomotion with helical form by a snake robot with passive wheels,” IEEE Int. Conf. on Robotics and Automation, pp. 3067-3072, 2009. https://doi.org/10.1109/ROBOT.2009.5152862
21. [21] A. Shapiro, A. Greenfield, and H. Choset, “Frictional compliance model development and experiments for snake robot climbing,” Proc. IEEE Int. Conf. on Robotics and Automation, pp. 574-579, 2007. https://doi.org/10.1109/ROBOT.2007.363048
22. [22] M. Vim, S. Homans, and K. Roufas, “Climbing with snake-like robots,” IFAC Proc. Volumes, Vol.34, No.4, pp. 7-12, 2001. https://doi.org/10.1016/S1474-6670(17)34265-9
23. [23] K. Wang, W. Wang, and H. Zhang, “The mechanical properties of a wall-climbing caterpillar robot: Analysis and experiment,” Int. J. of Advanced Robotic Systems, Vol.10, No.1, Article No.34, 2013. https://doi.org/10.5772/53493
24. [24] T. Takemori, M. Tanaka, and F. Matsuno, “Gait design for a snake robot by connecting curve segments and experimental demonstration,” IEEE Trans. on Robotics, Vol.34, No.5, pp. 1384-1391, 2018. https://doi.org/10.1109/TRO.2018.2830346
25. [25] H. Yamada and S. Hirose, “Study on the 3D shape of active cord mechanism,” IEEE Int. Conf. on Robotics and Automation, pp. 2890-2895, 2006. https://doi.org/10.1109/ROBOT.2006.1642140
26. [26] J. Yoon, B. Son, and D. Lee, “Comparative Study of Physics Engines for Robot Simulation with Mechanical Interaction,” Applied Sciences, Vol.13, No.2, Article No.680, 2023. https://doi.org/10.3390/app13020680