{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T19:33:56Z","timestamp":1770147236691,"version":"3.49.0"},"reference-count":36,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T00:00:00Z","timestamp":1725840000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"MCIN\/AEI","award":["PID2023-146163OB-I00"],"award-info":[{"award-number":["PID2023-146163OB-I00"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Robotics"],"abstract":"<jats:p>This research presents the development and evaluation of a miniature autonomous robot inspired by insect locomotion, capable of bidirectional movement. The robot incorporates two piezoelectric bimorph resonators, 3D-printed legs, an electronic power circuit, and a battery-operated microcontroller. Each piezoelectric motor features ceramic plates measuring 15 \u00d7 1.5 \u00d7 0.6 mm3 and weighing 0.1 g, with an optimized electrode layout. The bimorphs vibrate at two flexural modes with resonant frequencies of approximately 70 and 100 kHz. The strategic placement of the 3D-printed legs converts out-of-plane motion into effective forward or backward propulsion, depending on the vibration mode. A differential drive configuration, using the two parallel piezoelectric motors and calibrated excitation signals from the microcontroller, allows for arbitrary path navigation. The fully assembled robot measures 29 \u00d7 17 \u00d7 18 mm3 and weighs 7.4 g. The robot was tested on a glass surface, reaching a maximum speed of 70 mm\/s and a rotational speed of up to 190 deg.\/s, with power consumption of 50 mW, a cost of transport of 10, and an estimated continuous operation time of approximately 6.7 h. The robot successfully followed pre-programmed paths, demonstrating its precise control and agility in navigating complex environments, marking a significant advancement in insect-scale autonomous robotics.<\/jats:p>","DOI":"10.3390\/robotics13090135","type":"journal-article","created":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T07:14:04Z","timestamp":1725866044000},"page":"135","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Vibration Propulsion in Untethered Insect-Scale Robots with Piezoelectric Bimorphs and 3D-Printed Legs"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4179-472X","authenticated-orcid":false,"given":"Mario Rodolfo","family":"Ram\u00edrez-Palma","sequence":"first","affiliation":[{"name":"Microsystems, Actuators and Sensors Group, INAMOL-Universidad de Castilla La-Mancha, 45004 Toledo, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0568-2974","authenticated-orcid":false,"given":"V\u00edctor","family":"Ruiz-D\u00edez","sequence":"additional","affiliation":[{"name":"Microsystems, Actuators and Sensors Group, INAMOL-Universidad de Castilla La-Mancha, 45004 Toledo, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V\u00edctor","family":"Corsino","sequence":"additional","affiliation":[{"name":"Microsystems, Actuators and Sensors Group, INAMOL-Universidad de Castilla La-Mancha, 45004 Toledo, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8605-0321","authenticated-orcid":false,"given":"Jos\u00e9 Luis","family":"S\u00e1nchez-Rojas","sequence":"additional","affiliation":[{"name":"Microsystems, Actuators and Sensors Group, INAMOL-Universidad de Castilla La-Mancha, 45004 Toledo, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,9,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Fukuda, T., Kawamoto, A., Arai, F., and Matsuura, H. 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