A unified multi-soft-body dynamic model for underwater soft robots
Abstract
A unified formulation that accounts for the dynamics of a general class of aquatic multi-body, soft-structured robots is presented. The formulation is based on a Cosserat formalism where the description of the ensemble of geometrical entities, such as shells and beams, gives rise to a multi-soft-body system capable of simulating both manipulation and locomotion. Conceived as an advanced tool for a priori hardware development, n-degree-of-freedom dynamics analysis and control design of underwater, soft, multi-body, vehicles, the model is validated against aquatic locomotion experiments of an octopus-inspired soft unmanned underwater robot. Upon validation, the general applicability of the model is demonstrated by predicting the self-propulsion dynamics of a diverse range of new viable combinations of multi-soft-body aquatic system.
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Abbott JJ, Cosentino Lagomarsino M, Zhang L, Dong L, Nelson BJ (2009) How should microrobots swim? The International Journal of Robotics Research 28(11–12): 1434–1447.
Anderson E, DeMont M (2000) The mechanics of locomotion in the squid Loligo pealei: locomotory function and unsteady hydrodynamics of the jet and intramantle pressure. Journal of Experimental Biology 203(18): 2851–2863.
Anderson E, Quinn W, DeMont M (2001) Hydrodynamics of locomotion in the squid Loligo pealei. Journal of Fluid Mechanics 436: 249–266.
Antman S (2006) Nonlinear Problems of Elasticity (Applied Mathematical Sciences, vol. 107). New York: Springer.
Boyer F, Porez M (2015) Multibody system dynamics for bio-inspired locomotion: from geometric structures to computational aspects. Bioinspiration and Biomimetics 10(2): 025007.
Boyer F, Porez M, Khalil W (2006) Macro-continuous computed torque algorithm for a three-dimensional eel-like robot. IEEE Transactions on Robotics 22(4): 763–775.
Boyer F, Porez M, Leroyer A (2010) Poincaré cosserat equations for the lighthill three-dimensional large amplitude elongated body theory: Application to robotics. Journal of Nonlinear Science 20(1): 47–79.
Boyer F, Primault D (2005) The Poincaré–Chetayev equations and flexible multibody systems. Journal of Applied Mathematics and Mechanics 69(6): 925–942.
Boyer F, Renda F (2016) Poincaré’s equations for Cosserat media: Application to shells. Journal of Nonlinear Science.
Canavin J, Likins P (1977) Floating reference frames for flexible spacecraft. Journal of Spacecraft and Rockets 14(12): 724–732.
Candelier F, Boyer F, Leroyer A (2011) Three-dimensional extension of Lighthill’s large-amplitude elongated-body theory of fish locomotion. Journal of Fluid Mechanics 674: 196–226.
Candelier F, Porez M, Boyer F (2013) Note on the swimming of an elongated body in a non-uniform flow. Journal of Fluid Mechanics 716: 616–637.
Colgate J, Lynch K (2004) Mechanics and control of swimming: a review. IEEE Journal of Oceanic Engineering 29(3): 660–673.
Conte J, Modarres-Sadeghi Y, Watts MN, Hover FS, Triantafyllou MS (2010) A fast-starting mechanical fish that accelerates at 40 m s2. Bioinspiration and Biomimetics 5(3): 035004.
Domenici P, Standen EM, Levine RP (2004) Escape manoeuvres in the spiny dogfish (squalus acanthias). Journal of Experimental Biology 207(13): 2339–2349.
Elvander J, Hawkes G (2012) ROVs and AUVs in support of marine renewable technologies. In: Oceans, 2012, pp. 1–6.
Featherstone R (2014) Rigid Body Dynamics Algorithms. Springer US.
Giorgio-Serchi F, Arienti A, Corucci F, Giorelli M, Laschi C (2017) Hybrid parameter identification of a multi-modal underwater soft robot. Bioinspiration and Biomimetics.
Giorgio-Serchi F, Arienti A, Laschi C (2016) Underwater soft-bodied pulsed-jet thrusters: actuator modelling and performance profiling. The International Journal of Robotics Research 35: 1308–1329.
Giorgio-Serchi F, Renda F, Calisti M, Laschi C (2015) Thrust depletion at high pulsation frequencies in underactuated, soft-bodied, pulsed-jet vehicles. In: OCEANS 2015, Genova, pp. 1–6.
Giorgio-Serchi F, Weymouth GD (2016a) Drag cancellation by added-mass pumping. Journal of Fluid Mechanics 798: R3.
Giorgio-Serchi F, Weymouth GD (2016b) Underwater soft robotics, the benefit of body-shape variations in aquatic propulsion. Biosystems and Biorobotics 17: 37–46.
Hover FS, Eustice RM, Kim A, Englot B, Johannsson H, Kaess M, Leonard JJ (2012) Advanced perception, navigation and planning for autonomous in-water ship hull inspection. The International Journal of Robotics Research 31(12): 1445–1464.
Johnson W, Soden PD, Trueman ER (1972) A study in jet propulsion: An analysis of the motion of the squid, Loligo vulgaris. Journal of Experimental Biology 56(1): 155–165.
Karamcheti K (1966) Principles of ideal-fluid aerodynamics. Krieger.
Krieg M, Mohseni K (2015) Pressure and work analysis of unsteady, deformable, axisymmetric, jet producing cavity bodies. Journal of Fluid Mechanics 769: 337–368.
Krieg M, Sledge I, Mohseni K (2015) Design considerations for an underwater soft-robot inspired from marine invertebrates. Bioinspiration & Biomimetics 10(6): 065004.
Licht S, Polidoro V, Flores M, Hover F, Triantafyllou M (2004) Design and projected performance of a flapping foil auv. IEEE Journal of Oceanic Engineering 29(3): 786–794.
Lighthill MJ (1970) Aquatic animal propulsion of high hydromechanical efficiency. Journal of Fluid Mechanics 44: 265–301.
Linn J, Lang H, Tuganov A (2013) Geometrically exact Cosserat rods with Kelvin–Voigt type viscous damping. Mechanical Sciences 4(1): 79–96.
Luh JYS, Walker MW, Paul RPC (1980) On-line computational scheme for mechanical manipulator. Transactions of the ASME, Journal of Dynamical Systems 102: 69–76.
Maertens AP, Triantafyllou M, Yue DKP (2015) Efficiency of fish propulsion. Bioinspiration and Biomimetics 10: 046013.
Marchese AD, Onal Cagdas D, Rus D (2014) Autonomous soft robotic fish capable of escape maneuvers using fluidic elastomer actuators. Soft Robotics 1(1): 75–673.
Mortl A, Lawitzky M, Kucukyilmaz A, Sezgin M, Basdogan C, Hirche S (2012) The role of roles: Physical cooperation between humans and robots. The International Journal of Robotics Research 31(13): 1656–1674.
Murray R, Li Z, Sastry S, Sastry S (1994) A Mathematical Introduction to Robotic Manipulation. London: Taylor & Francis.
Poincaré H (1901) Sur une forme nouvelle des equations de la mecanique. Compte Rendu de l’Academie des Sciences de Paris 132: 369–371.
Reissner E (1990) Special issue: Frontiers in computational mechanics on a one-dimensional theory of finite bending and stretching of elastic plates. Computers and Structures 35(4): 417–423.
Renda F, Giorelli M, Calisti M, Cianchetti M, Laschi C (2014) Dynamic model of a multibending soft robot arm driven by cables. IEEE Transactions on Robotics 30(5): 1109–1122.
Renda F, Giorgio-Serchi F, Boyer F, Laschi C (2015a) Locomotion and elastodynamics model of an underwater shell-like soft robot. In: 2015 IEEE International Conference on Robotics and Automation (ICRA), pp. 1158–1165.
Renda F, Giorgio-Serchi F, Boyer F, Laschi C (2015b) Modelling cephalopod-inspired pulsed-jet locomotion for underwater soft robots. Bioinspiration and Biomimetics 10(5): 055005.
Renda F, Giorgio-Serchi F, Boyer F, Laschi C (2015c) Structural dynamics of a pulsed-jet propulsion system for underwater soft robots. International Journal of Advanced Robotic Systems 12(6): 60143.
Renda F, Giorgio-Serchi F, Boyer F, Laschi C, Dias J, Seneviratne L (2018) A multi-soft-body dynamic model for underwater soft robots. In: Robotics Research. Cham: Springer, pp. 143–160.
Saimek S, Li P (2001) Motion planning and control of a swimming machine. In: Proceedings of the 2001 American Control Conference, vol. 1, pp. 125–130.
Selig J (2007) Geometric Fundamentals of Robotics (Monographs in Computer Science). New York: Springer.
Sfakiotakis M, Kazakidi A, Chatzidaki A, Evdaimon T, Tsakiris D (2014) Multi-arm robotic swimming with octopus-inspired compliant web. In: 2014 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2014), pp. 302–308.
Simo J (1985) A finite strain beam formulation. the three-dimensional dynamic problem. Part I. Computer Methods in Applied Mechanics and Engineering 49(1): 55–70.
Simo JC, Fox DD (1989) On stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization. Computer Methods in Applied Mechanical Engineering 72(3): 267–304.
Vaganay J, Gurfinkel L, Elkins M, Jankins D, Shurn K (2009) Hovering autonomous underwater vehicle-system design improvements and performance evaluation results. In: International Symposium on Unmanned Untethered Submarine Technology.
Vasilescu I, Detweiler C, Doniec M, et al. (2010) AMOUR V: A hovering energy efficient underwater robot capable of dynamic payloads. The International Journal of Robotics Research 29(5): 547–570.
Wang L, Iida F (2015) Deformation in soft-matter robotics: A categorization and quantitative characterization. IEEE Robotics Automation Magazine 22(3): 125–139.
Woodman R, Winfield A, Harper C, Fraser M (2012) Building safer robots: Safety driven control. The International Journal of Robotics Research 31(13): 1603–1626.
Yu J, Ding R, Yang Q, Tan M, Wang W, Zhang J (2012) On a bio-inspired amphibious robot capable of multimodal motion. IEEE/ASME Transactions on Mechatronics 17(5): 847–856.
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Article first published online: May 2, 2018
Issue published: May 2018
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