{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T18:06:09Z","timestamp":1765994769464,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"21","license":[{"start":{"date-parts":[[2020,10,29]],"date-time":"2020-10-29T00:00:00Z","timestamp":1603929600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004663","name":"Ministry of Science and Technology, Taiwan","doi-asserted-by":"publisher","award":["MOST 107-2221-E-006-154-MY2"],"award-info":[{"award-number":["MOST 107-2221-E-006-154-MY2"]}],"id":[{"id":"10.13039\/501100004663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this study, an impact-driven piezoelectric energy harvester (PEH) in magnetic field is presented. The PEH consists of a piezoelectric cantilever beam and plural magnets. At its initial status, the beam tip magnet is attracted by a second magnet. The second magnet is moved away by hand and then the beam tip magnet moves to a third magnet by the guidance of the magnetic fields. The impact occurs when the beam motion is stopped by the third magnet. The impact between magnets produces an impact energy and causes a transient beam vibration. The electric energy is generated by the piezoelectric effect. Based on the energy principle, a multi-DOF (multi-degree of freedom) mathematical model was developed to calculate the displacements, velocities, and voltage outputs of the PEH. A prototype of the PEH was fabricated. The voltages outputs of the beam were monitored by an oscilloscope. The maximum generated energy was about 0.4045 mJ for a single impact. A comparison between numerical and experimental results was presented in detail. It showed that the predictions based on the model agree with the experimental measurements. The PEH was connected to a diode bridge rectifier and a storage capacitor. The charges generated by the piezoelectric beam were stored in the capacitor by ten impacts. The experiments showed that the energy stored in the capacitor can light up the LED.<\/jats:p>","DOI":"10.3390\/s20216170","type":"journal-article","created":{"date-parts":[[2020,10,29]],"date-time":"2020-10-29T21:21:00Z","timestamp":1604006460000},"page":"6170","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Dynamic Modeling and Experimental Validation of an Impact-Driven Piezoelectric Energy Harvester in Magnetic Field"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2734-452X","authenticated-orcid":false,"given":"Chung-De","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, National Cheng Kung University, Tainan City 701, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu-Hsuan","family":"Wu","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, National Cheng Kung University, Tainan City 701, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Po-Wen","family":"Su","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, National Cheng Kung University, Tainan City 701, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,10,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1131","DOI":"10.1016\/S0140-3664(02)00248-7","article-title":"A study of low level vibrations as a power source for wireless sensor nodes","volume":"26","author":"Roundy","year":"2003","journal-title":"Comput. Commun."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"R1","DOI":"10.1088\/0964-1726\/16\/3\/R01","article-title":"A review of power harvesting using piezoelectric materials (2003\u20132006)","volume":"16","author":"Anton","year":"2007","journal-title":"Smart Mater. Struct."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"111634","DOI":"10.1016\/j.sna.2019.111634","article-title":"Review of piezoelectric energy harvesting system and application of optimization techniques to enhance the performance of the harvesting system","volume":"300","author":"Sarker","year":"2019","journal-title":"Sens. Actuators A"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Covaci, C., and Gontean, A. (2020). Piezoelectric Energy Harvesting Solutions: A Review. Sensors, 20.","DOI":"10.3390\/s20123512"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"022001","DOI":"10.1088\/0957-0233\/21\/2\/022001","article-title":"Strategies for increasing the operating frequency range of vibration energy harvesters: A review","volume":"21","author":"Zhu","year":"2010","journal-title":"Meas. Sci. Technol."},{"key":"ref_6","first-page":"565","article-title":"GoldFinger: Wireless human\u2013machine interface with dedicated software and biomechanical energy harvesting system","volume":"21","author":"Pasquale","year":"2016","journal-title":"IEEE\/ASME Trans. Mechatron."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1109\/TMECH.2011.2181954","article-title":"Vibrational energy harvesting from human gait","volume":"18","author":"Elvin","year":"2013","journal-title":"IEEE\/ASME Trans. Mechatron."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3267","DOI":"10.1143\/JJAP.35.3267","article-title":"Analysis of transformation of mechanical impact energy to electrical energy using a piezoelectric vibrator","volume":"35","author":"Umeda","year":"1996","journal-title":"Jpn. J. Appl. Phys."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"045004","DOI":"10.1088\/0964-1726\/20\/4\/045004","article-title":"Impact-driven frequency up-converting coupled vibration energy harvesting device for low frequency operation","volume":"20","author":"Gu","year":"2011","journal-title":"Smart Mater. Struct."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/j.sna.2013.12.033","article-title":"Theoretical modeling and analysis of mechanical impact driven and frequency up-converted piezoelectric energy harvester for low-frequency and wide-bandwidth operation","volume":"208","author":"Halim","year":"2014","journal-title":"Sens. Actuators A Phys."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.apenergy.2019.01.261","article-title":"A tunable frequency up-conversion wideband piezoelectric vibration energy harvester for low-frequency variable environment using a novel impact- and rope-driven hybrid mechanism","volume":"240","author":"Zhang","year":"2019","journal-title":"Appl. Energy"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Huang, M., Hou, C., Li, Y., Liu, H., Wang, F., Chen, T., Yang, Z., Tang, G., and Sun, L. (2019). A low-frequency MEMS piezoelectric energy harvesting system based on frequency-up conversion mechanism. Micromachines, 10.","DOI":"10.3390\/mi10100639"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"475501","DOI":"10.1088\/1361-6463\/abab28","article-title":"A novel up-converting mechanism based on double impact for non-linear piezoelectric energy harvesting","volume":"53","author":"Febbo","year":"2020","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"065020","DOI":"10.1088\/0964-1726\/19\/6\/065020","article-title":"Broadband vibration-based energy harvesting improvement through frequency up-conversion by magnetic excitation","volume":"19","author":"Wickenheiser","year":"2010","journal-title":"Smart Mater. Struct."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"25009","DOI":"10.1088\/0964-1726\/23\/2\/025009","article-title":"Magnetic plucking of piezoelectric beams for frequency up-converting energy harvesters","volume":"23","author":"Pillatsch","year":"2014","journal-title":"Smart Mater. Struct."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/j.sna.2016.11.030","article-title":"On magnetic plucking configurations for frequency up-converting mechanical energy harvesters","volume":"253","author":"Xue","year":"2017","journal-title":"Sens. Actuators A Phys."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"055007","DOI":"10.1088\/0964-1726\/20\/5\/055007","article-title":"Plucked piezoelectric bimorphs for knee-joint energy harvesting: Modelling and experimental validation","volume":"20","author":"Pozzi","year":"2011","journal-title":"Smart Mater. Struct."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.sna.2016.11.035","article-title":"Energy harvesting during human walking to power a wireless sensor node","volume":"254","author":"Kuang","year":"2017","journal-title":"Sens. Actuators A Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"105020","DOI":"10.1088\/0964-1726\/22\/10\/105020","article-title":"Modeling and experimental investigation of an impact-driven piezoelectric energy harvester from human motion","volume":"22","author":"Wei","year":"2013","journal-title":"Smart Mater. Struct."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"254102","DOI":"10.1063\/1.3159815","article-title":"A piezomagnetoelastic structure for broadband vibration energy harvesting","volume":"94","author":"Erturk","year":"2009","journal-title":"Appl. Phys. Lett."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1007\/s11071-009-9561-5","article-title":"Potential benefits of a non-linear stiffness in an energy harvesting device","volume":"59","author":"Ramlan","year":"2010","journal-title":"Nonlinear Dyn."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2339","DOI":"10.1016\/j.jsv.2010.11.018","article-title":"Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling","volume":"330","author":"Erturk","year":"2011","journal-title":"J. Sound Vib."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"094102","DOI":"10.1063\/1.4748794","article-title":"A nonlinear piezoelectric energy harvester with magnetic oscillator","volume":"101","author":"Tang","year":"2012","journal-title":"Appl. Phys. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.jsv.2017.02.048","article-title":"Low-frequency wideband vibration energy harvesting by using frequency up-conversion and quin-stable nonlinearity","volume":"399","author":"Wang","year":"2017","journal-title":"J. Sound Vib."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Xu, Z., Yang, H., Zhang, H., Ci, H., Zhou, M., Wang, W., and Meng, A. (2019). Design and analysis of a magnetically coupled multi-frequency hybrid energy harvester. Sensors, 19.","DOI":"10.3390\/s19143203"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1109\/TMECH.2018.2876007","article-title":"Model and Characterization of a Press-Button Type Piezoelectric Energy Harvester","volume":"24","author":"Yang","year":"2019","journal-title":"IEEE\/ASME Trans. Mechatron."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1962","DOI":"10.1109\/TMAG.1984.1063554","article-title":"3D analytical calculation of the forces exerted between two cuboidal magnets","volume":"20","author":"Akoun","year":"1984","journal-title":"IEEE Trans. Magn."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"105001","DOI":"10.1088\/0022-3727\/41\/10\/105001","article-title":"A study of scaling and geometry effects on the forces between cuboidal and cylindrical magnets using analytical force solutions","volume":"42","author":"Agashe","year":"2008","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"045042","DOI":"10.1088\/0964-1726\/24\/4\/045042","article-title":"Finite element modeling of nonlinear piezoelectric energy harvesters with magnetic interaction","volume":"24","author":"Upadrashta","year":"2015","journal-title":"Smart Mater. Struct."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/j.energy.2017.02.115","article-title":"A methodology for low-speed broadband rotational energy harvesting using piezoelectric transduction and frequency up-conversion","volume":"125","author":"Fu","year":"2017","journal-title":"Energy"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"055043","DOI":"10.1088\/1361-665X\/ab7f45","article-title":"Analysis and experiment of magnetic excitation cantilever-type piezoelectric energy harvesters for rotational motion","volume":"29","author":"He","year":"2020","journal-title":"Smart Mater. Struct."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/21\/6170\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:26:35Z","timestamp":1760178395000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/21\/6170"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,29]]},"references-count":31,"journal-issue":{"issue":"21","published-online":{"date-parts":[[2020,11]]}},"alternative-id":["s20216170"],"URL":"https:\/\/doi.org\/10.3390\/s20216170","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2020,10,29]]}}}