{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T13:48:21Z","timestamp":1778680101907,"version":"3.51.4"},"reference-count":29,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2019,7,12]],"date-time":"2019-07-12T00:00:00Z","timestamp":1562889600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100003968","name":"iran national science foundation","doi-asserted-by":"publisher","award":["97018481"],"award-info":[{"award-number":["97018481"]}],"id":[{"id":"10.13039\/501100003968","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2020,4]]},"abstract":"<jats:p>Unique features of shape memory alloys make them a proper actuation choice in various control systems. However, their nonlinear hysteresis behavior negatively affects wide utilization of such materials in structure actuation. In this study, the frequency effect on the hysteresis behavior of a shape memory alloy\u2013actuated structure is experimentally investigated, and also two proposed versions of rate-dependent Prandtl-Ishlinskii (modified rate-dependent Prandtl-Ishlinskii and revised modified rate-dependent Prandtl-Ishlinskii) are presented, which are capable of characterizing this phenomenon. Experimental results show that increasing excitation frequency leads to bigger hysteresis loops. It is also proven that rate-dependency cannot be predicted by generalized Prandtl-Ishlinskii model. In addition, a comparison between the dead zone function-based rate-dependent Prandtl-Ishlinskii model as an only benchmark model and the proposed models have been done that proves the proposed models\u2019 superiority. In addition, genetic algorithm is exploited to identify unknown parameters of all models. Trained models performance is also experimentally evaluated at different input frequencies. Comparison between simulation and experimental results indicates that the proposed models can reliably predict saturated, asymmetric, rate-dependent hysteresis behavior, and minor loops in shape memory alloy\u2013embedded actuators.<\/jats:p>","DOI":"10.1177\/0959651819861249","type":"journal-article","created":{"date-parts":[[2019,7,12]],"date-time":"2019-07-12T04:57:31Z","timestamp":1562907451000},"page":"550-565","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":11,"title":["Modeling and characterization of the shape memory alloy\u2013based morphing wing behavior using proposed rate-dependent Prandtl-Ishlinskii models"],"prefix":"10.1177","volume":"234","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6050-7610","authenticated-orcid":false,"given":"Saeid","family":"Shakiba","sequence":"first","affiliation":[{"name":"Center of Advanced Systems and Technologies (CAST), School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0705-3338","authenticated-orcid":false,"given":"Aghil","family":"Yousefi-Koma","sequence":"additional","affiliation":[{"name":"Center of Advanced Systems and Technologies (CAST), School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mehdi","family":"Jokar","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5495-3630","authenticated-orcid":false,"given":"Mohammad Reza","family":"Zakerzadeh","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7657-2916","authenticated-orcid":false,"given":"Hamid","family":"Basaeri","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, University of Utah, Salt Lake City, UT, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,7,12]]},"reference":[{"key":"bibr1-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.matdes.2013.11.084"},{"key":"bibr2-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1243\/09544100JAERO211"},{"key":"bibr3-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2018.01.043"},{"key":"bibr4-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2015.11.021"},{"key":"bibr5-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2013.10.001"},{"key":"bibr6-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2016.03.019"},{"key":"bibr7-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2012.10.029"},{"key":"bibr8-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2015.04.018"},{"key":"bibr9-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1177\/1045389X12448444"},{"key":"bibr10-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2012.06.003"},{"key":"bibr11-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/17\/3\/035026"},{"key":"bibr12-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1177\/0959651818758910"},{"key":"bibr13-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1109\/TUFFC.2010.1533"},{"key":"bibr14-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2010.2052366"},{"key":"bibr15-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2009.02.008"},{"key":"bibr16-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1016\/j.physb.2011.09.041"},{"key":"bibr17-0959651819861249","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/22\/2\/025027"},{"key":"bibr18-0959651819861249","doi-asserted-by":"crossref","unstructured":"Aljanaideh O, Al Janaideh M, Rakotondrabe M. 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