{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T03:08:48Z","timestamp":1790046528972,"version":"4.0.1"},"reference-count":20,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2018,3,7]],"date-time":"2018-03-07T00:00:00Z","timestamp":1520380800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Inspired by a way of rowing, a new piezoelectric driving quadruped micro-robot operating in bending-bending hybrid vibration modes was proposed and tested in this work. The robot consisted of a steel base, four steel connecting pins and four similar driving legs, and all legs were bonded by four piezoelectric ceramic plates. The driving principle is discussed, which is based on the hybrid of first order vertical bending and first order horizontal bending vibrations. The bending-bending hybrid vibration modes motivated the driving foot to form an elliptical trajectory in space. The vibrations of four legs were used to provide the driving forces for robot motion. The proposed robot was fabricated and tested according to driving principle. The vibration characteristics and elliptical movements of the driving feet were simulated by FEM method. Experimental tests of vibration characteristics and mechanical output abilities were carried out. The tested resonance frequencies and vibration amplitudes agreed well with the FEM calculated results. The size of robot is 36 mm \u00d7 98 mm \u00d7 14 mm, its weight is only 49.8 g, but its maximum load capacity achieves 200 g. Furthermore, the robot can achieve a maximum speed of 33.45 mm\/s.<\/jats:p>","DOI":"10.3390\/s18030810","type":"journal-article","created":{"date-parts":[[2018,3,7]],"date-time":"2018-03-07T12:55:23Z","timestamp":1520427323000},"page":"810","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["A Quadruped Micro-Robot Based on Piezoelectric Driving"],"prefix":"10.3390","volume":"18","author":[{"given":"Qi","family":"Su","sequence":"first","affiliation":[{"name":"School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qiquan","family":"Quan","sequence":"additional","affiliation":[{"name":"School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jie","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hongpeng","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/j.sna.2011.11.035","article-title":"Driving high voltage piezoelectric actuators in microrobotic applications","volume":"176","author":"Karpelson","year":"2012","journal-title":"Sens. Actuators A-Phys."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"055027","DOI":"10.1088\/0960-1317\/22\/5\/055027","article-title":"Monolithic fabrication of millimeter-scale machines","volume":"22","author":"Sreetharan","year":"2012","journal-title":"J. Micromech. Microeng."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"582","DOI":"10.1088\/0960-1317\/12\/5\/311","article-title":"Fabrication of monolithic piezoelectric drive units for a miniature robot","volume":"12","author":"Simu","year":"2002","journal-title":"J. Micromech. Microeng."},{"key":"ref_4","unstructured":"Baisch, A.T., and Wood, R.J. (September, January 31). Design and fabrication of the harvard ambulatory microrobot. Proceedings of the 14th International Symposium on Robotics Research (ISSR), Lucerne, Switzerland."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Bergbreiter, S., and Pister, K.S.J. (2007, January 10\u201314). Design of an autonomous jumping microrobot. Proceedings of the IEEE International Conference on Robotics and Automation, Roma, Italy.","DOI":"10.1109\/ROBOT.2007.363827"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/j.sna.2005.05.004","article-title":"An earthworm-like micro robot using shape memory alloy actuator","volume":"125","author":"Kim","year":"2006","journal-title":"Sens. Actuators A-Phys."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/j.mechatronics.2008.05.007","article-title":"One pneumatic line based inchworm-like micro robot for half-inch pipe inspection","volume":"18","author":"Lim","year":"2008","journal-title":"Mechatronics"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1109\/JMEMS.2010.2041897","article-title":"Thermally actuated omnidirectional walking microrobot","volume":"19","author":"Erdem","year":"2010","journal-title":"J. Microelectromech. Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/S0924-4247(01)00517-9","article-title":"Swimming micro-machine driven by magnetic torque","volume":"91","author":"Ishiyama","year":"2001","journal-title":"Sens. Actuator A-Phys."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2577","DOI":"10.1177\/1045389X15572013","article-title":"Dual piezoelectric beam robot: The effect of piezoelectric patches\u2019 positions","volume":"26","author":"Hariri","year":"2015","journal-title":"J. Intell. Mat. Syst. Struct."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"8451","DOI":"10.1109\/ACCESS.2017.2702598","article-title":"Design and experiment of a small legged robot operated by the resonant vibrations of cantilever beams","volume":"5","author":"Shen","year":"2017","journal-title":"IEEE Access"},{"key":"ref_12","unstructured":"Juhas, L., Vujanic, A., Adamovic, N., and Nagy, L. (2000, January 24\u201328). Development of platform for micro-positioning actuated by piezo-legs. Proceedings of the IEEE International Conference on Robotics and Automation, San Francisco, CA, USA."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.mechatronics.2016.09.002","article-title":"An I-shape linear piezoelectric actuator using resonant type longitudinal vibration transducers","volume":"40","author":"Liu","year":"2016","journal-title":"Mechatronics"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"742","DOI":"10.1109\/TRO.2017.2656902","article-title":"Locomotion study of a standing wave driven piezoelectric miniature robot for bi-directional motion","volume":"33","author":"Hariri","year":"2017","journal-title":"IEEE Trans. Robot."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1676","DOI":"10.1109\/TIE.2015.2492942","article-title":"A bonded-type piezoelectric actuator using the first and second bending vibration modes","volume":"63","author":"Liu","year":"2016","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1109\/58.726435","article-title":"Standing wave bi-directional linearly moving ultrasonic motor","volume":"45","author":"He","year":"1998","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1016\/j.ultras.2014.10.010","article-title":"A T-shape linear piezoelectric motor with single foot","volume":"56","author":"Liu","year":"2015","journal-title":"Ultrasonics"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Liu, Y.X., Shen, Q.Q., Shi, S.J., Deng, J., Chen, W.S., and Wang, L. (2017). Research on a novel exciting method for a sandwich transducer operating in longitudinal-bending hybrid modes. Sensors, 17.","DOI":"10.3390\/s17071510"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"N7","DOI":"10.1088\/0964-1726\/15\/1\/N02","article-title":"A 3-dofs mobile robot driven by a piezoelectric actuator","volume":"15","author":"Yan","year":"2006","journal-title":"Smart Mater. Struct."},{"key":"ref_20","unstructured":"Son, K.J., Kartik, V., Wickert, J., and Sitti, M. (2005, January 24\u201328). A piezoelectric unimorph actuator based precision positioning miniature walking robot. Proceedings of the IEEE\/ASME International Conference on Advanced Intelligent Mechatronics, Monterey, CA, USA."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/3\/810\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T14:57:54Z","timestamp":1760194674000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/3\/810"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,7]]},"references-count":20,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2018,3]]}},"alternative-id":["s18030810"],"URL":"https:\/\/doi.org\/10.3390\/s18030810","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,7]]}}}