Latch-based control of energy output in spring actuated systems

The inherent force–velocity trade-off of muscles and motors can be overcome by instead loading and releasing energy in springs to power extreme movements. A key component of this paradigm is the latch that mediates the release of spring energy to power the motion. Latches have traditionally been considered as switches; they maintain spring compression in one state and allow the spring to release energy without constraint in the other. Using a mathematical model of a simplified contact latch, we reproduce this instantaneous release behaviour and also demonstrate that changing latch parameters (latch release velocity and radius) can reduce and delay the energy released by the spring. We identify a critical threshold between instantaneous and delayed release that depends on the latch, spring, and mass of the system. Systems with stiff springs and small mass can attain a wide range of output performance, including instantaneous behaviour, by changing latch release velocity. We validate this model in both a physical experiment as well as with data from the Dracula ant, Mystrium camillae, and propose that latch release velocity can be used in both engineering and biological systems to control energy output.

[1]  L. Mahadevan,et al.  How the Venus flytrap snaps , 2005, Nature.

[2]  M. Burrows,et al.  The mechanics and neural control of the prey capture strike in the mantid shrimps Squilla and Hemisquilla , 1969, Zeitschrift für vergleichende Physiologie.

[3]  Jeremy E. Niven,et al.  The rapid mandible strike of a termite soldier , 2008, Current Biology.

[4]  A. R. Palmer,et al.  MORPHOLOGICAL PHYLOGENY OF ALPHEID SHRIMPS: PARALLEL PREADAPTATION AND THE ORIGIN OF A KEY MORPHOLOGICAL INNOVATION, THE SNAPPING CLAW , 2006, Evolution; international journal of organic evolution.

[5]  H. Bennet-Clark,et al.  The energetics of the jump of the locust Schistocerca gregaria. , 1975, The Journal of experimental biology.

[6]  S. Patek,et al.  Multifunctionality and mechanical origins: Ballistic jaw propulsion in trap-jaw ants , 2006, Proceedings of the National Academy of Sciences.

[7]  Johan L. van Leeuwen,et al.  Evidence for an elastic projection mechanism in the chameleon tongue , 2004, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[8]  Paolo Fiorini,et al.  Minimalist Jumping Robots for Celestial Exploration , 2003, Int. J. Robotics Res..

[9]  A. Suarez,et al.  Evidence of behavioral co-option from context-dependent variation in mandible use in trap-jaw ants (Odontomachus spp.) , 2009, Naturwissenschaften.

[10]  Fredrick J. Larabee,et al.  The evolution and functional morphology of trap-jaw ants , 2015 .

[11]  R. Ritzmann,et al.  Snapping Behavior of the Shrimp Alpheus californiensis , 1973, Science.

[12]  A. R. Palmer,et al.  Parallel Saltational Evolution of Ultrafast Movements in Snapping Shrimp Claws , 2018, Current Biology.

[13]  Emily M. Abbott,et al.  Hurry up and get out of the way!: Exploring the limits of muscle-based latch systems for power amplification. , 2019, Integrative and comparative biology.

[14]  Wulfila Gronenberg,et al.  The mandible mechanism of the ant genus Anochetus (Hymenoptera, Formicidae) and the possible evolution of trap-jaws , 1996 .

[15]  S N Patek,et al.  Beyond power amplification: latch-mediated spring actuation is an emerging framework for the study of diverse elastic systems , 2019, Journal of Experimental Biology.

[16]  S. Patek The power of mantis shrimp strikes: interdisciplinary impacts of an extreme cascade of energy release. , 2019, Integrative and comparative biology.

[17]  M. Burrows,et al.  Morphology and action of the hind leg joints controlling jumping in froghopper insects , 2006, Journal of Experimental Biology.

[18]  M. Evans,et al.  The jump of the click beetle (Coleoptera: Elateridae)—energetics and mechanics , 2010 .

[19]  M. Burrows,et al.  Neuromuscular physiology of the strike mechanism of the mantis shrimp, Hemisquilla† , 1972 .

[20]  Wulfila Gronenberg,et al.  Trap‐jaws revisited: the mandible mechanism of the ant Acanthognathus , 1998 .

[21]  Robert J. Wood,et al.  A jumping robotic insect based on a torque reversal catapult mechanism , 2013, 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[22]  R. Caldwell,et al.  Biomechanics: Deadly strike mechanism of a mantis shrimp , 2004, Nature.

[23]  Daniel Weihs,et al.  Jumping without Using Legs: The Jump of the Click-Beetles (Elateridae) Is Morphologically Constrained , 2011, PloS one.

[24]  Kyu-Jin Cho,et al.  Flea-Inspired Catapult Mechanism for Miniature Jumping Robots , 2012, IEEE Transactions on Robotics.

[25]  S N Patek,et al.  Asymmetric drop coalescence launches fungal ballistospores with directionality , 2017, Journal of The Royal Society Interface.

[26]  Roy E. Ritzmann,et al.  Mechanisms for the snapping behavior of two alpheid shrimp,Alpheus californiensis andAlpheus heterochelis , 1974, Journal of comparative physiology.

[27]  S M Cox,et al.  A physical model of the extreme mantis shrimp strike: kinematics and cavitation of Ninjabot , 2014, Bioinspiration & biomimetics.

[28]  W. Federle,et al.  Froghoppers jump from smooth plant surfaces by piercing them with sharp spines , 2019, Proceedings of the National Academy of Sciences.

[29]  Michael V. Rosario,et al.  Modeling the determinants of mechanical advantage during jumping: consequences for spring- and muscle-driven movement. , 2019, Integrative and comparative biology.

[30]  Sander Kranenbarg,et al.  Power at the Tip of the Tongue , 2004, Science.

[31]  Suzanne M Cox,et al.  The principles of cascading power limits in small, fast biological and engineered systems , 2018, Science.

[32]  A. Suarez,et al.  Snap-jaw morphology is specialized for high-speed power amplification in the Dracula ant, Mystrium camillae , 2018, Royal Society Open Science.

[33]  L. Postrioti,et al.  Dynamic behavior of a spring-powered micronozzle needle-free injector. , 2015, International journal of pharmaceutics.

[34]  M. Burrows,et al.  Fine structure of muscles controlling the strike of the mantis shrimp, Hemisquilla , 1972 .

[35]  Timm Nüchter,et al.  Nanosecond-scale kinetics of nematocyst discharge , 2006, Current Biology.

[36]  S N Patek,et al.  The comparative hydrodynamics of rapid rotation by predatory appendages , 2016, Journal of Experimental Biology.

[37]  S N Patek,et al.  Linkage mechanics and power amplification of the mantis shrimp's strike , 2007, Journal of Experimental Biology.

[38]  Daniel Weihs,et al.  The effect of natural substrates on jump height in click‐beetles , 2012 .

[39]  Fredrick J Larabee,et al.  Performance, morphology and control of power-amplified mandibles in the trap-jaw ant Myrmoteras (Hymenoptera: Formicidae) , 2017, Journal of Experimental Biology.

[40]  M. Burrows,et al.  Jumping performance of froghopper insects , 2006, Journal of Experimental Biology.

[41]  Aimy Wissa,et al.  Latching of the click beetle (Coleoptera: Elateridae) thoracic hinge enabled by the morphology and mechanics of conformal structures , 2019, Journal of Experimental Biology.

[42]  A. Suarez,et al.  Mandible strike kinematics of the trap‐jaw ant genus Anochetus Mayr (Hymenoptera: Formicidae) , 2018, Journal of Zoology.

[43]  Dario Floreano,et al.  A miniature 7g jumping robot , 2008, 2008 IEEE International Conference on Robotics and Automation.

[44]  W. J. Heitler,et al.  Neuromechanical simulation of the locust jump , 2010, Journal of Experimental Biology.

[45]  W. Gronenberg,et al.  The trap-jaw mechanism in the dacetine ants Daceton armigerum and Strumigenys sp. , 1996, Journal of Experimental Biology.

[46]  Dilworth Y. Parkinson,et al.  Repeated Evolution of Power-Amplified Predatory Strikes in Trap-Jaw Spiders , 2016, Current Biology.

[47]  Johan L van Leeuwen,et al.  Evidence for an elastic projection mechanism in the chameleon tongue. , 2004, Proceedings. Biological sciences.

[48]  S. N. Patek,et al.  Adhesive latching and legless leaping in small, worm-like insect larvae , 2019, Journal of Experimental Biology.

[49]  Amir Ayali,et al.  A locust-inspired miniature jumping robot , 2015, Bioinspiration & biomimetics.

[50]  J Dumais,et al.  The Fern Sporangium: A Unique Catapult , 2012, Science.

[51]  S N Patek,et al.  Feed-forward motor control of ultrafast, ballistic movements , 2016, Journal of Experimental Biology.

[52]  Zhenishbek Zhakypov,et al.  Designing minimal and scalable insect-inspired multi-locomotion millirobots , 2019, Nature.

[53]  S. Patek,et al.  Evolutionary Biomechanics: The Pathway to Power in Snapping Shrimp , 2018, Current Biology.

[54]  M. Burrows,et al.  Jumping and kicking in bush crickets , 2003, Journal of Experimental Biology.

[55]  W. Gronenberg Fast actions in small animals: springs and click mechanisms , 1996, Journal of Comparative Physiology A.