Abstract
The normal force exerted on a propulsive element is estimated based on acceleration measurements of an articulate-flexible propulsion mechanism in a subcarangiform swimming robotic fish. The propulsion mechanism is an articulating torso followed by a flexible caudal fin to provide thrust. The trunk is an assemblage of five ABS-plastic vertebrae driven by an actuator through a pair of wires, whereas the caudal fin is a silicone-rubber lunate-shaped tail coupled to the last vertebra. MEMS 3-axis sensors measured the linear acceleration experienced by the rigid head, articulated trunk, and compliant caudal fin at different undulation frequencies with the robotic fish prototype suspended in still water. The transverse acceleration measured was approximated as the reaction force exerted by the water on a propulsive element that accelerates the surrounding water. Subsequently, the caudal fin midline motion was analyzed by video processing to compare with the subcarangiform swimming kinematics model and to depict the normal force vectors in an undulation excursion. This study provides a feasible alternative to quantify the normal force generated by propulsive elements in bio-inspired propulsion mechanisms by using low-cost MEMS sensors to complement other well-suited techniques.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Apostolopoulos, D.: Analytical Configuration of Wheeled Robotic Locomotion. Ph.D. thesis, The Robotics Institute, Carnegie Mellon University, PA, USA, (2001)
Sitti, M., Menciassi, A., Ijspeert, A.J., Low, K.H., Kim, S.: Survey and introduction to the focused section on bio-inspired mechatronics. IEEE ASME Trans. Mechatron. 18(2), 409–418 (2013)
Sfakiotakis, M., Lane, D.M., Davies, J.B.C.: Review of fish swimming modes for aquatic locomotion. IEEE J. Ocean. Eng. 24(2), 237–252 (1999)
Salazar, R., Fuentes, V., Abdelkefi, A.: Classification of biological and bioinspired aquatic systems: a review. Ocean Eng. 148, 75–114 (2018)
Xie, F., Zuo, Q., Chen, Q., et al.: Designs of the Biomimetic Robotic Fishes Performing Body and/or Caudal Fin (BCF) Swimming Locomotion: A Review. J. Intell. Robot. Syst. 102(13), (2021)
Salazar, R., Campos, A., Fuentes, V., Abdelkefi, A.: A review on the modeling, materials, and actuators of aquatic unmanned vehicles. Ocean Eng. 172, 257–285 (2019)
Scaradozzi, D., Palmieri, G., Costa, D., Pinelli, A.: BCF swimming locomotion for autonomous underwater robots: a review and a novel solution to improve control and efficiency. Ocean Eng. 130, 437–453 (2017)
Takada, Y., Nakanishi, Y., Araki, R., Nonogaki, M., Wakisaka, T.: Effect of material and thickness about tail fins on propulsive performance of a small fish robot. Aero Aqua Bio-mech. 1(1), 51–56 (2010)
Chen, Z., Tan, X.: Monolithic fabrication of ionic polymer–metal composite actuators capable of complex deformation. Sensors Actuat. A Phys. 157(2), 246–257 (2010)
Clark, A.J., Moore, J.M., Wang, J., Tan, X., McKinley, P.K.: Evolutionary design and experimental validation of a flexible caudal fin for robotic fish. In: 13th Proc. Int. Conf. Sim. Synth. Liv. Sys., pp. 325–332 (2012)
Costa, D., Palmieri, G., Palpacelli, M.C., et al.: Design of a Bio-Inspired Autonomous Underwater Robot. J Intell Robot Syst. 91, 181–192 (2018)
Nesteruk, I., Passoni, G., Redaelli, A.: Shape of aquatic animals and their swimming efficiency. Mar. Bio. 2014, 1–9 (2014)
Lauder, G.V.: Fish locomotion: recent advances and new directions. Annu. Rev. Mar. Sci. 7, 521–545 (2015)
Bainbridge, R.: The speed of swimming of fish as related to size and to the frequency and amplitude of the tail beat. Exp. Bio. 35(1), 109–133 (1958)
Jayne, B.C., Lauder, G.V.: Speed effects on midline kinematics during steady undulatory swimming of largemouth bass, Micropterus salmoides. Exp. Bio. 198, 585–602 (1995)
Donley, J.M., Dickson, K.A.: Swimming kinematics of juvenile kawakawatuna (Euthynnus affinis) and chub mackerel (Scomber japonicus). Exp. Bio. 203, 3103–3116 (2000)
Lauder, G.V., Anderson, E.J., Tangorra, J., Madden, P.G.A.: Fishbiorobotics: kinematics and hydrodynamics of self-propulsion. Exp. Bio. 210, 2767–2780 (2007)
Link, O., Sanhueza, C., Arriagada, P., Brevis, W., Laborde, A., González, A., Wilkes, M., Habit, E.: The fish Strouhal number as a criterion for hydraulic fishway design. Ecol. Eng. 103, 118–126 (2017)
Akanyeti, O., Putney, J., Yanagitsuru, Y.R., Lauder, G.V., Stewart, W.J., Liao, J.C.: Accelerating fishes increase propulsive efficiency by modulating vortex ring geometry. Proc. Natl. Acad. Sci. 114(13), 13828–13833 (2017)
Cui, Z., Yang, Z., Shen, L., Jiang, H.Z.: Complex modal analysis of the movements of swimming fish propelled by body and/or caudal fin. Wave Motion. 78, 83–97 (2018)
Tangorra, J., Phelan, C., Esposito, C., Lauder, G.: Use of biorobotic models of highly deformable fins for studying the mechanics and control of fin forces in fishes. Integr Comp Bio. 51(1), 176–189 (2011)
Dubois, A.B., Ogilvy, C.S.: Forces on the tail surface of swimming fish: thrust, drag and acceleration in bluefish (Pomatomus saltatrix). J Exp Bio. 77, 225–241 (1978)
Xiong, G., Lauder, G.V.: Center of mass motion in swimming fish: effects of speed and locomotor mode during undulatory propulsion. Zoology. 117(4), 269–281 (2014)
Shelton, R.M., Thornycroft, P.J., Lauder, G.V.: Undulatory locomotion of flexible foils as biomimetic models for understanding fish propulsion. Exp. Bio. 217, 2110–2120 (2014)
Wise, T.N., Schwalbe, M.A.B., Tytell, E.D.: Hydrodynamics of linear acceleration in bluegill sunfish, Lepomis macrochirus. Exp Bio. 221(23), (2018)
Zhang, F., Lagor, F.D., Yeo, D., Washington, P., Paley, D.A.: Distributed flow sensing for closed-loop control speed control of a flexible fish robot. Bioinspir Biomim. 10(6), (2015)
Chen, K., Tuhtan, J.A., Fuentes-Pérez, J.F., Toming, G., Musall, M., Strokina, N., Kämäräinen, J.K., Kruusmaa, M.: Estimation of flow turbulence metrics with a lateral line probe and regression. IEEE T Instrum Meas. 66(4), 651–660 (2017)
Kottapalli, A.G.P., Asadnia, M., Shen, Z., Subramaniam, V., Miao, J., Triantafyllou, M.: MEMS artificial neuromast arrays for hydrodynamic control of soft-robots. In: 11th IEEE Annual Int. Conf. Nano/Micro Eng. Mol. Sys. (NEMS), Sendai, pp. 504–507 (2016)
Triantafyllou, M.S., Weymouth, G.D., Miao, J.M.: Biomimetic survival hydrodynamics and flow sensing. Annu. Rev. Fluid Mech. 48, 1–24 (2016)
Suebsaiprom, P., Lin, C.-L., Engkaninan, A.: Undulatory locomotion and effective propulsion for fish-inspired robot. Control. Eng. Pract. 58, 66–77 (2017)
Zhong, Y., Song, J., Yu, H., Du, R.: Toward a transform method from Lighthill fish swimming model to biomimetic robot fish. IEEE Robot Autom Lett. 3(3), 2632–2639 (2018)
Webb, P.W.: Form and function in fish swimming. Sci Amer. 251, 58–68 (1984)
Khoshnoud, F., de Silva, C.W.: Recent advances in MEMS sensor technology-mechanical applications. IEEE Instrum. Meas. Mag. 15(2), 14–24 (2012)
Rana, M., Mittal, V.: Wearable sensors for real-time kinematics analysis in sports: a review. IEEE Sens. 21(2), 1187–1207 (2021)
Zhu, Y., Zhu, B., Liu, H.H.T., Qin, K.: A model-based approach for measurement noise estimation and compensation in feedback control systems. IEEE T Instrum Meas. 69(10), 8112–8127 (2020)
Elhoushi, M., Georgy, J., Noureldin, A., Korenberg, M.J.: Motion mode recognition for indoor pedestrian navigation using portable devices. IEEE T Instrum Meas. 65(1), 208–221 (2016)
Pollind, M., Soangra, R.: Development and validation of wearable inertial sensor system for postural sway analysis. Meas. 165, 108101 (2020)
Lighthill, M.: Hydromechanics of aquatic animal propulsion. Annu. Rev. Fluid Mech. 1, 413–446 (1969)
Patton, K.T.: An experimental determination of hydrodynamic masses and mechanical impedances. Tech. Rep. AD-758 096. Navy underwater sound laboratory, New London CT (1965)
Acknowledgments
Author thanks Jorge Cobos, Alfonso Alvarez, and Mario Pillado for their support in the robotic fish construction and experimental trials.
Code or Data Availability
All data and custom code support this study are available from the corresponding author, J. Gutiérrez, upon reasonable request.
Funding
The authors have no relevant financial neither non-financial interest to disclose.
Author information
Authors and Affiliations
Contributions
The research, experiment execution, writing, and writing – review were performed by F. D. Von Borstel. The prototype implementation and review were performed by M. S. Haro. The experiment execution, and review were performed by J. F. Villa-Medina. The research, formal analysis, and writing – review – editing were performed by J. Gutiérrez. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Ethics Approval
Not applicable.
Consent to Participate
Not applicable.
Consent for Publication
Not applicable.
Conflicts of Interest/Competing Interests
The authors declare that they have no conflict of interest/Competing interests.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Von Borstel, F.D., Haro, M.S., Villa-Medina, J.F. et al. Propulsive Element Normal Force Based on Acceleration Measurements Experienced by a Subcarangiform Robotic Fish. J Intell Robot Syst 104, 73 (2022). https://doi.org/10.1007/s10846-022-01600-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10846-022-01600-9