{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,16]],"date-time":"2026-10-16T02:37:34Z","timestamp":1792118254454,"version":"4.4.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"1_suppl","license":[{"start":{"date-parts":[[2015,2,1]],"date-time":"2015-02-01T00:00:00Z","timestamp":1422748800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"},{"start":{"date-parts":[[2015,2,1]],"date-time":"2015-02-01T00:00:00Z","timestamp":1422748800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Bio-Medical Materials and Engineering"],"published-print":{"date-parts":[[2015,2]]},"abstract":"<jats:label>Abstract<\/jats:label>\n                  <jats:p>\n                    Transparent tooth correction treatment is an esthetic alternative to traditional orthodontic treatment. Recently, attachments were introduced in transparent tooth correction treatments to improve the predictability of orthodontic movement. In order to optimize the attachment configuration, the force delivery system of attachments in orthodontic aligner treatment was analyzed. Based on mechanical principles, such as the synthesis theorem of force system, Varignon theorem, and the theorem of force translation, the force system of attachment was analyzed. How the attachments affected the orthodontic treatment was investigated. The attachments\u2019 force system\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">F<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">r<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                        <mml:mo mathvariant=\"normal\">,<\/mml:mo>\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">F<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">t<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                        <mml:mo mathvariant=\"normal\">,<\/mml:mo>\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">M<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">r<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    and\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">M<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">t<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    was determined. The optimum attachment for translation and controlled tipping movement was conceived. The attachments can be designed and placed appropriately to improve tooth movement.\n                  <\/jats:p>","DOI":"10.3233\/bme-151340","type":"journal-article","created":{"date-parts":[[2015,8,17]],"date-time":"2015-08-17T15:42:12Z","timestamp":1439826132000},"update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["Optimization of configuration of attachment in tooth translation with transparent tooth correction by appropriate moment-to-force ratios: Biomechanical analysis"],"prefix":"10.1177","volume":"26","author":[{"given":"Yongqing","family":"Cai","sequence":"first","affiliation":[{"name":"Department of Chemical Engineering, Fuzhou University, Fujian, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bingwei","family":"He","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Fuzhou University, Fujian, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoxiang","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Fuzhou University, Fujian, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jun","family":"Yao","sequence":"additional","affiliation":[{"name":"Department of Affiliated Hospital of Stomatology, Fujian Medical University, Fujian, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2015,2]]},"container-title":["Bio-Medical Materials and Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/BME-151340","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/BME-151340","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T13:25:18Z","timestamp":1777382718000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/BME-151340"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2]]},"references-count":0,"journal-issue":{"issue":"1_suppl","published-print":{"date-parts":[[2015,2]]}},"alternative-id":["10.3233\/BME-151340"],"URL":"https:\/\/doi.org\/10.3233\/bme-151340","relation":{},"ISSN":["0959-2989","1878-3619"],"issn-type":[{"value":"0959-2989","type":"print"},{"value":"1878-3619","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2]]}}}