Abstract
This paper introduces a simple centimeter-scale robot design that uses one or more pairs of piezoelectric, simultaneously-actuated legs to achieve multiple terrestrial gaits, notably jumping and running. The robot is designed for rapid prototyping using a planar geometry that has potential to be transferred to smaller-scales based on micro-fabrication processes, while allowing study of dynamics and control of elastic robot locomotion. Assembled robots are tested in jumping and running, with dynamic responses measured and compared to simulation from a numerical dynamic model. Energy costs of locomotion under various frequency and voltage scenarios are evaluated. Observed behavior emphasizes the impact of synchronizing leg motion in realizing certain gaits, despite the presence of fabrication variability. Scaling of robot dynamics and power consumption is briefly discussed to introduce possible outcomes for future robots manufactured at dimensions representative of microelectromechanical system (MEMS) transducers.















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Brightvolt Inc.: Brightvolt 454523-25XT Data Sheet, www.brightvolt.com (2017)
Cymbet Corp.: Energet Bare Die, www.cymbet.com (2016)
Bachmann, R.J., Boria, F.J., Vaidyanathan, R., Ifju, P.G., Quinn, R.D.: A biologically inspired micro-vehicle capable of aerial and terrestrial locomotion. Mech. Mach. Theory 44(3), 513–526 (2009)
Bergbreiter, S., Pister, K.S.: Design of an autonomous jumping microrobot. In: IEEE International Conference on Robotics and Automation, pp. 447–453 (2007)
Brufau-Penella, J., Sánchez-Martín, J., Puig-Vidal, M.: Piezoelectric polymer model validation applied to mm size micro-robot I-SWARM (intelligent swarm). Smart Structures and Materials, pp. 61660Q-61612 (2006)
Chen, Y., Wang, H., Helbling, E.F., Jafferis, N.T., Zufferey, R., Ong, A., Ma, K., Gravish, N., Chirarattananon, P., Kovac, M.: A biologically inspired, flapping-wing, hybrid aerial-aquatic microrobot. Sci. Robot. 2(11), eaao5619 (2017)
Choi, J., Shin, M., Rudy, R.Q., Kao, C., Pulskamp, J.S., Polcawich, R.G., Oldham, K.R.: Thin-film piezoelectric and high-aspect ratio polymer leg mechanisms for millimeter-scale robotics. Int. J. Intell. Robot. Appl. 1, 180–184 (2017)
Christensen, D.L., Hawkes, E.W., Suresh, S.A., Ladenheim, K., Cutkosky, M.R.: μTugs: Enabling microrobots to deliver macro forces with controllable adhesives. In: International Conference on Robotics and Automation (ICRA), pp. 4048–4055 (2015)
Dharmawan, A.G., Hariri, H.H., Foong, S., Soh, G.S., Wood, K.L.: Steerable miniature legged robot driven by a single piezoelectric bending unimorph actuator. IEEE International Conference on Robotics and Automation (ICRA), pp. 6008–6013 (2017)
Drew, D.S., Pister, K.S.: First takeoff of a flying microrobot with no moving parts. In: International Conference on Manipulation, Automation and Robotics at Small Scales (MARSS), pp. 1–5 (2017)
Goldberg, B., Zufferey, R., Doshi, N., Heibling, E.F., Whittredge, G., Kovac, M., Wood, R.J.: Power and control autonomy for high-speed locomotion with an insect-scale legged robot. IEEE Robot. Autom. Lett. 3(2), 987–993 (2018)
Haldane, D.W., Plecnik, M., Yim, J.K., Fearing, R.S.: Robotic vertical jumping agility via series-elastic power modulation. Science Robotics 1(1), eaag2048 (2016)
Hoffman, K.L., Wood, R.J.: Passive undulatory gaits enhance walking in a myriapod millirobot. IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 1479–1486 (2011)
Hollar, S., Flynn, A., Bellew, C., Pister, K.: Solar powered 10 mg silicon robot. In: Micro Electro Mechanical Systems, 2003. IEEE Sixteenth Annual International Conference on MEMS, Kyoyo, pp. 706–711 (2003)
Jung, G.-P., Casarez, C.S., Jung, S.-P., Fearing, R.S., Cho, K.-J.: An integrated jumping-crawling robot using height-adjustable jumping module. IEEE Conf. Robot. Autom. (ICRA), pp. 4680–4685 (2016)
Karpelson, M., Wei, G.-Y., Wood, R.J.: A review of power electronics options for flapping-wing robotic insects. In: IEEE International Conference on Robotics and Automation, Pasadena, CA (2008
Koh, J.-S., Aukes, D.M., Araki, B., Pohorecky, S., Mulgaonkar, Y., Tolley, M.T., Kumar, V., Rus, D., Wood, R.J.: A modular folded laminate robot capable of multi modal locomotion. In: International Symposium on Experimental Robotics pp. 59–70 (2016)
Koh, J.-S., Cho, K.-J.: Omegabot: Crawling robot inspired by ascotis selenaria. IEEE International Conference on Robotics and Automation (ICRA), pp. 109–114 (2010)
Li, H., Tan, J., Zhang, M.: Dynamics modeling and analysis of a swimming microrobot for controlled drug delivery. IEEE Trans. Autom. Sci. Eng. 6(2), 220–227 (2009)
Moon, Y., Jeong, D.-K.: An efficient charge recovery logic circuit. IEEE J. Solid-State Circuits 31(4), 514–522 (1996)
Patel, K., Qu, J., Oldham, K.R.: Tilted leg design for a rapid prototyped low-voltage piezoelectric running robot. In: International Conference on Manipulation, Automation, and Robotics at Small Scales, Nagoya (2018)
Pierre, R.S., Bergbreiter, S.: Gait exploration of sub-2 g robots using magnetic actuation. IEEE Robot. Autom. Lett. 2(1), 34–40 (2017)
Qu, J., Teeple, C.B., Oldham, K.R.: Modeling legged microrobot locomotion based on contact dynamics and vibration in multiple modes and axes. J. Vib. Acoust. 139(3), 031013 (2017a)
Qu, J., Choi, J., Oldham, K.: Dynamic Structural and Contact Modeling for a Silicon Hexapod Microrobot. J. Mech. Robot. 9(6), 061006 (2017b)
Rios, S.A., Fleming, A.J., Yong, Y.K.: Miniature resonant ambulatory robot. IEEE Robot. Autom. Lett. 2(1), 337–343 (2017)
Rios, S.A., Fleming, A.J., Yong, Y.K.: Monolithic piezoelectric insect with resonance walking. IEEE/ASME Trans. Mechatron. 23(2), 524–530 (2018)
Rose, C.J., Mahmoudieh, P., Fearing, R.S.: Coordinated launching of an ornithopter with a hexapedal robot. In: IEEE International Conference on Robotics and Automation (ICRA), pp. 4029–4035 (2015)
Rudy, R., Cohen, A.J., Pulskamp, J.S., Polcawich, R.G., Oldham, K.R.: Antenna-like tactile sensor for thin-film piezoelectric micro-robots. In: ASME International Design Engineering Technical Conferences, pp. V001T009A023 (2015)
Ryou, J.-H., Oldham, K.R.: Dynamic characterization of contact interactions of micro-robotic leg structures. Smart Mater. Struct. 23, 055014 (2014)
Shen, Z., Liu, Y., Zhao, J., Tang, X., Chen, W.: Design and experiment of a small legged robot operated by resonant vibrations of cantilever beams. IEEE Access 5, 8451–8458 (2017)
Su, Q., Quan, Q., Deng, J., Yu, H.: A quadruped micro-robot based on piezoelectric driving. Sensors 18, 810–819 (2018)
Teichert, K., Oldham, K.R.: Characteristics of thin-film batteries cycled over capacitive loads. In: IEEE International Conference on Advanced Intelligent Mechatronics, Banff, AB (2016)
Teichert, K., Oldham, K.R.: Solid-state battery modeling cases studies for the analysis of a micro-robot power system. In: ASME Dynamic Systems and Control Conference, Atlanta GA (2018)
Wood, R.J.: The first takeoff of a biologically inspired at-scale robotic insect. IEEE Trans. Rob. 24(2), 341–347 (2008)
Xu, Z., Wang, Y., and Chen, C.: Micro converter with a high step-up ratio to drive a piezoelectric bimorph actuator applied in mobile robots. Int. J. Adv. Rob. Syst. pp. 1–9 (2018)
Zarrouk, D., Fearing, R.S.: Controlled in-plane locomotion of a hexapod using a single actuator. IEEE Trans. Rob. 31(1), 157–167 (2015)
Zhang, B., Qu, J., Oldham, K.R.: Experimental evaluation of piezoelectric self-sensing during terrestrial locomotion of a miniature legged robot. In: IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Auckland (2018)
Acknowledgements
The authors thank the National Science Foundation, award CMMI 1435222, for support of this work. The authors also thank Mr. Ketul Patel, Mr. Lu Wang, and Mr. Clark Teeple for their contributions to robot development.
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Qu, J., Zhang, B. & Oldham, K.R. Design and analysis of varied gaits in elastic vibratory milli-robots. Int J Intell Robot Appl 2, 400–412 (2018). https://doi.org/10.1007/s41315-018-0069-3
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DOI: https://doi.org/10.1007/s41315-018-0069-3