{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T10:57:59Z","timestamp":1772449079319,"version":"3.50.1"},"reference-count":40,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2020,3,4]],"date-time":"2020-03-04T00:00:00Z","timestamp":1583280000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This article studies the entropy generation of a mass-spring-damper mechanical system, under the conformable fractional operator definition. We perform several simulations by varying the fractional order    \u03b3    and the damping ratio    \u03b6   , including the usual dynamic response when     \u03b3 = 1.0     and the typical damping cases. We analyze the entropy production for this system and its strong dependency on both    \u03b3    and    \u03b6    parameters. Therefore, we determine their optimal values to obtain the highest efficiency of the MSD response, as well as other impressive features.<\/jats:p>","DOI":"10.3390\/sym12030395","type":"journal-article","created":{"date-parts":[[2020,3,4]],"date-time":"2020-03-04T03:24:20Z","timestamp":1583292260000},"page":"395","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Entropy Generation in a Mass-Spring-Damper System Using a Conformable Model"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4494-7864","authenticated-orcid":false,"given":"Jorge M.","family":"Cruz-Duarte","sequence":"first","affiliation":[{"name":"Escuela de Ingenier\u00eda y Ciencias, Tecnol\u00f3gico de Monterrey, Monterrey, Nuevo Le\u00f3n 64849, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9399-2501","authenticated-orcid":false,"given":"J. Juan","family":"Rosales-Garc\u00eda","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n de Ingenier\u00edas, Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago, km. 3.5 + 1.8 km., Comunidad de Palo Blanco, Salamanca, Guanajuato 36885, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6507-1809","authenticated-orcid":false,"given":"C. Rodrigo","family":"Correa-Cely","sequence":"additional","affiliation":[{"name":"Escuela de Ingenier\u00edas El\u00e9ctrica, Electr\u00f3nica y de Telecomunicaciones, Universidad Industrial de Santander, Carrera 27, Calle 9, Bucaramanga, Santander 680002, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,3,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1007\/s11803-017-0416-7","article-title":"Experimental and analytical studies on multiple tuned mass dampers for seismic protection of porcelain electrical equipment","volume":"16","author":"Bai","year":"2017","journal-title":"Earthq. Eng. Eng. 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