Aristotle. Problemata 3 12–19.
Morowitz, H. J. De motu animalium. Hosp. Pract. 11, 145–149 (1976).
Seifert, H. S. The lunar pogo stick. J. Spacecr. Rockets 4, 941–943 (1967).
Zhao, J. et al. MSU jumper: a single-motor-actuated miniature steerable jumping robot. IEEE Trans. Robot. 29, 602–614 (2013).
Niiyama, R., Nagakubo, A. & Kuniyoshi, Y. In Proc. IEEE Intl Conf. Robotics and Automation 2546–2551 (IEEE, 2007); https://doi.org/10.1109/ROBOT.2007.363848.
Scarfogliero, U., Stefanini, C. & Dario, P. In Proc. IEEE Intl Conf. Robotics and Automation 467–472 (IEEE, 2007); https://doi.org/10.1109/ROBOT.2007.363830.
Li, F. et al. Jumping like an insect: design and dynamic optimization of a jumping mini robot based on bio-mimetic inspiration. Mechatronics 22, 167–176 (2012).
Zhao, J., Xi, N., Gao, B., Mutka, M. W. & Xiao, L. In Proc. IEEE Intl Conf. Robotics and Automation 4614–4619 (IEEE, 2011); https://doi.org/10.1109/ICRA.2011.5980166.
Churaman, W. A., Currano, L. J., Morris, C. J., Rajkowski, J. E. & Bergbreiter, S. The first launch of an autonomous thrust-driven microrobot using nanoporous energetic silicon. J. Microelectromech. Syst. 21, 198–205 (2012).
Armour, R., Paskins, K., Bowyer, A., Vincent, J. & Megill, W. Jumping robots: a biomimetic solution to locomotion across rough terrain. Bioinsp. Biomim. 2, S65–S83 (2007).
Bergbreiter, S. In 2008 IEEE/RSJ Intl Conf. Intelligent Robots and Systems (IROS) 4030–4035 (IEEE, 2008); https://doi.org/10.1109/IROS.2008.4651167.
Koh, J. S. et al. Jumping on water: surface tension-dominated jumping of water striders and robotic insects. Science 349, 517–521 (2015).
Woodward, M. A. & Sitti, M. MultiMo-Bat: a biologically inspired integrated jumping-gliding robot. Int. J. Rob. Res. 33, 1511–1529 (2014).
Haldane, D. W., Plecnik, M. M., Yim, J. K. & Fearing, R. S. Robotic vertical jumping agility via series-elastic power modulation. Sci. Robot. 1, eaag2048 (2016).
Zaitsev, V. et al. Locust-inspired miniature jumping robot. In 2015 IEEE/RSJ Intl Conf. Intelligent Robots and Systems (IROS) 553–558 (IEEE, 2015); https://doi.org/10.1109/IROS.2015.7353426.
Kovač, M., Fuchs, M., Guignard, A., Zufferey, J. C. & Floreano, D. In Proc. IEEE Intl Conf. Robotics and Automation 373–378 (IEEE, 2008); https://doi.org/10.1109/ROBOT.2008.4543236.
Kovač, M., Schlegel, M., Zufferey, J. C. & Floreano, D. Steerable miniature jumping robot. Auton. Robots 28, 295–306 (2010).
Burdick, J. & Fiorini, P. Minimalist jumping robots for celestial exploration. Int. J. Rob. Res. 22, 653–674 (2003).
Alexander, R. M. Leg design and jumping technique for humans, other vertebrates and insects. Phil. Trans. R. Soc. Lond. B. 347, 235–248 (1995).
Alexander, R. M. N. Simple models of human movement. Appl. Mech. Rev. 48, 461–470 (1995).
Scholz, M. N., Bobbert, M. F. & Knoek van Soest, A. J. Scaling and jumping: gravity loses grip on small jumpers. J. Theor. Biol. 240, 554–561 (2006).
Cerquiglini, S., Venerando, A., Wartenweiler, J. & Plagenhoef, S. Biomechanics III. In Medicine & Science in Sports & Exercise (ed. Hoerler, E.) vol. 6 iv (Karger AG, 1974).
Roberts, T. J. & Marsh, R. L. Probing the limits to muscle-powered accelerations: lessons from jumping bullfrogs. J. Exp. Biol. 206, 2567–2580 (2003).
Bobbert, M. F. Effects of isometric scaling on vertical jumping performance. PLoS One 8, e71209 (2013).
Azizi, E. & Roberts, T. J. Muscle performance during frog jumping: influence of elasticity on muscle operating lengths. Proc. R. Soc. B 277, 1523–1530 (2010).
Bennet-Clark, H. C. Scale effects in jumping animals. In Scale Effects in Animal Locomotion (ed. Pedley, T. J.) 185–201 (Academic, 1977).
Sutton, G. P. et al. Why do large animals never actuate their jumps with latch-mediated springs? Because they can jump higher without them. Integr. Comp. Biol. 59, 1609–1618 (2019).
Divi, S. et al. Latch-based control of energy output in spring actuated systems. J. R. Soc. Interface 17, 20200070 (2020).
Longo, S. J. et al. Beyond power amplification: latch-mediated spring actuation is an emerging framework for the study of diverse elastic systems. J. Exp. Biol. 222, jeb197889 (2019).
Bennet-Clark, H. C. & Alder, G. M. The effect of air resistance on the jumping performance of insects. J. Exp. Biol. 82, 105–121 (1979).
Stoeter, S. A. & Papanikolopoulos, N. Kinematic motion model for jumping scout robots. IEEE Trans. Robot. 22, 397–402 (2006).
Ilton, M. et al. The principles of cascading power limits in small, fast biological and engineered systems. Science 360, eaao1082 (2018).
Gabriel, J. M. The effect of animal design on jumping performance. J. Zool. 204, 533–539 (1984).
Roberts, T. J. & Azizi, E. Flexible mechanisms: the diverse roles of biological springs in vertebrate movement. J. Exp. Biol. 214, 353–361 (2011).
Gerratt, A. P. & Bergbreiter, S. Incorporating compliant elastomers for jumping locomotion in microrobots. Smart Mater. Struct. 22, 014010 (2013).
Greenspun, J. & Pister, K. S. J. First leaps of an electrostatic inchworm motor-driven jumping microrobot. In 2018 Solid-State Sensors, Actuators and Microsystems Workshop 159–162 (IEEE, 2018); https://doi.org/10.31438/trf.hh2018.45.
Greenspun, J. & Pister, K. S. J. in Proc. Intl Conf. Manipulation, Automation and Robotics at Small Scales (MARSS) (eds. Haliyo, S. et al.) 258–262 (IEEE, 2017); https://doi.org/10.1109/MARSS.2017.8001944.
Bergbreiter, S. & Pister, K. S. J. In Proc. IEEE Intl Conf. Robotics and Automation 447–453 (IEEE, 2007); https://doi.org/10.1109/ROBOT.2007.363827.
Berg, H. C. The rotary motor of bacterial flagella. Annu. Rev. Biochem. 72, 19–54 (2003).
Ashby, M. Materials Selection in Mechanical Design 4th edn (Elsevier, 2010).
Hall‐Crags, E. C. B. An analysis of the jump of the lesser galago (Galago senegalensis). J. Zool. 147, 20–29 (1965).
Josephson, R. K. Contraction dynamics and power output of skeletal muscle. Annu. Rev. Physiol. 55, 527–546 (1993).
Seok, S., Wang, A., Otten, D. & Kim, S. In IEEE Intl Conf. Intelligent Robots and Systems 1970–1975 (IEEE, 2012); https://doi.org/10.1109/IROS.2012.6386252.
Miao, Z., Mo, J., Li, G., Ning, Y. & Li, B. Wheeled hopping robot with combustion-powered actuator. Int. J. Adv. Robot. Syst. https://doi.org/10.1177/1729881417745608 (2018).
Ackerman, E. Boston dynamics sand flea robot demonstrates astonishing jumping skills. IEEE Spectrum Robotics Blog https://spectrum.ieee.org/boston-dynamics-sand-flea-demonstrates-astonishing-jumping-skills (28 March 2012).
Dowling, K. Power Sources for Small Robots. Technical report no. CMU-RI-TR-97-02 (Carnegie Mellon University, 1997).
Marden, J. H. & Allen, L. R. Molecules, muscles, and machines: universal performance characteristics of motors. Proc. Natl. Acad. Sci. USA 99, 4161–4166 (2002).
Hirt, M. R., Jetz, W., Rall, B. C. & Brose, U. A general scaling law reveals why the largest animals are not the fastest. Nat. Ecol. Evol. 1, 1116–1122 (2017).
Winslow, J., Hrishikeshavan, V. & Chopra, I. Design methodology for small-scale unmanned quadrotors. J. Aircr. 55, 1062–1070 (2018).
Dermitzakis, K., Carbajal, J. P. & Marden, J. H. Scaling laws in robotics. Procedia Comp. Sci. 7, 250–252 (2011).
Mitchell, H. H., Hamilton, T. S., Steggerda, F. R. & Bean, H. W. The chemical composition of the adult human body and its bearing on the biochemistry of growth. J. Biol. Chem. 158, 625–637 (1945).
Hunt, J. F., Zhang, H., Guo, Z. & Fu, F. Cantilever beam static and dynamic response comparison with mid-point bending for thin mdf composite panels. BioResources 8, 115–129 (2013).
Parry, D. A. & Brown, R. H. J. The jumping mechanism of salticid spiders. J. Exp. Biol. 36, 654–664 (1959).
Marsh, R. L. & John-Alder, H. B. Jumping performance of hylid frogs measured with high-speed cine film. J. Exp. Biol. 188, 131–141 (1994).
Evans, M. E. G. The jump of the click beetle (Coleoptera, Elateridae)—a preliminary study. J. Zool. 167, 319–336 (1972).
Brackenbury, J. & Hunt, H. Jumping in springtails: mechanism and dynamics. J. Zool. 229, 217–236 (1993).
Maitland, D. P. Locomotion by jumping in the Mediterranean fruit-fly larva Ceratitis capitata. Nature 355, 159–161 (1992).
Harty, T. H. The Role of the Vertebral Column during Jumping in Quadrupedal Mammals. PhD thesis, Oregon State Univ. (2010).
Schwaner, M. J., Lin, D. C. & McGowan, C. P. Jumping mechanics of desert kangaroo rats. J. Exp. Biol. 221, jeb186700 (2018).
Katz, S. L. & Gosline, J. M. Ontogenetic scaling of jump performance in the african desert locust (Schistocerca gregaria). J. Exp. Biol. 177, 81–111 (1993).
Toro, E., Herrel, A., Vanhooydonck, B. & Irschick, D. J. A biomechanical analysis of intra- and interspecific scaling of jumping and morphology in Caribbean Anolis lizards. J. Exp. Biol. 206, 2641–2652 (2003).
Essner, R. L. Three-dimensional launch kinematics in leaping, parachuting and gliding squirrels. J. Exp. Biol. 205, 2469–2477 (2002).
Gregersen, C. S. & Carrier, D. R. Gear ratios at the limb joints of jumping dogs. J. Biomech. 37, 1011–1018 (2004).
Burrows, M. & Dorosenko, M. Jumping mechanisms and strategies in moths (Lepidoptera). J. Exp. Biol. 218, 1655–1666 (2015).
Bobbert, M. F., Gerritsen, K. G. M., Litjens, M. C. A. & Van Soest, A. J. Why is countermovement jump height greater than squat jump height? Med. Sci. Sports Exerc. 28, 1402–1412 (1996).
Brackenbury, J. & Wang, R. Ballistics and visual targeting in flea-beetles (Alticinae). J. Exp. Biol. 198, 1931–1942 (1995).
Burrows, M. Jumping performance of froghopper insects. J. Exp. Biol. 209, 4607–4621 (2006).
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