{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T07:42:29Z","timestamp":1768549349783,"version":"3.49.0"},"reference-count":47,"publisher":"Cambridge University Press (CUP)","issue":"6","license":[{"start":{"date-parts":[[2019,2,1]],"date-time":"2019-02-01T00:00:00Z","timestamp":1548979200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Robotica"],"published-print":{"date-parts":[[2019,6]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>This paper presents a new approach to synthesize multi-loop mechanisms with three translational displacement parameters based on virtual-loop theory and Assur groups. The approach used kinematic links as a generalized link group added one-by-one to the output link, which further extends the unified link groups in the plane and space. Firstly, the concept of infinitesimal displacement parameters is introduced to describe the displacement parameters. The dependence on the change in the degree of freedom (DOF) and displacement parameters of the output link after adding a 0-DOF generalized link group is established. Then, the link groups with three displacement parameters are synthesized, and the intersection operation rules are given. The single-loop mechanism is synthesized under two circumstances. The 1-, 2-, and 3-DOF dual-loop mechanisms are obtained by adding corresponding generalized link groups. Finally, the multi-loop mechanisms are obtained by adding corresponding generalized link groups. Some novel mechanisms are synthesized to illustrate the effectiveness of the proposed approach.<\/jats:p>","DOI":"10.1017\/s0263574718001480","type":"journal-article","created":{"date-parts":[[2019,2,1]],"date-time":"2019-02-01T06:40:07Z","timestamp":1549003207000},"page":"1104-1119","source":"Crossref","is-referenced-by-count":8,"title":["Type Synthesis of Multi-Loop Spatial Mechanisms With Three Translational Output Parameters Based on Virtual-Loop Theory and Assur Groups"],"prefix":"10.1017","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1689-3355","authenticated-orcid":false,"given":"Xing","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Dejun","family":"Mu","sequence":"additional","affiliation":[]},{"given":"Yitong","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Henghao","family":"You","sequence":"additional","affiliation":[]},{"given":"Hongrui","family":"Wang","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2019,2,1]]},"reference":[{"key":"S0263574718001480_ref45","doi-asserted-by":"publisher","DOI":"10.1115\/1.1563635"},{"key":"S0263574718001480_ref44","doi-asserted-by":"publisher","DOI":"10.1115\/1.1758253"},{"key":"S0263574718001480_ref42","volume-title":"Proceedings of the IFToMM Symposium on Mechanisms, Machines, and Mechatronics","author":"Kong","year":"2001"},{"key":"S0263574718001480_ref40","first-page":"808","volume-title":"IEEE International Conference on Robotics and Automation","author":"Herve","year":"1992"},{"key":"S0263574718001480_ref37","unstructured":"37. L. W. Tsai , \u201cMulti-degree-of-freedom mechanisms for machine tools and the like,\u201d Patent 5656905, USA, 1997."},{"key":"S0263574718001480_ref36","first-page":"176","volume-title":"Proceedings of the 3rd International Workshop on Advances in Robotics Kinematics","author":"Herve","year":"1992"},{"key":"S0263574718001480_ref35","doi-asserted-by":"publisher","DOI":"10.1115\/1.1814390"},{"key":"S0263574718001480_ref34","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0885-6_3"},{"key":"S0263574718001480_ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s11431-011-4499-5"},{"key":"S0263574718001480_ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s11431-010-3100-y"},{"key":"S0263574718001480_ref27","doi-asserted-by":"publisher","DOI":"10.1016\/0094-114X(95)00083-B"},{"key":"S0263574718001480_ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2013.06.004"},{"key":"S0263574718001480_ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2007.07.006"},{"key":"S0263574718001480_ref22","doi-asserted-by":"publisher","DOI":"10.1016\/0094-114X(73)90003-7"},{"key":"S0263574718001480_ref21","doi-asserted-by":"publisher","DOI":"10.1016\/0022-2569(68)90353-4"},{"key":"S0263574718001480_ref20","doi-asserted-by":"publisher","DOI":"10.1115\/1.4002697"},{"key":"S0263574718001480_ref18","doi-asserted-by":"publisher","DOI":"10.1115\/1.2965364"},{"key":"S0263574718001480_ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2005.01.003"},{"key":"S0263574718001480_ref12","doi-asserted-by":"publisher","DOI":"10.1115\/1.3267337"},{"key":"S0263574718001480_ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.euromechsol.2006.06.001"},{"key":"S0263574718001480_ref28","doi-asserted-by":"crossref","first-page":"1127","DOI":"10.1016\/S0094-114X(97)00117-1","article-title":"Systemics of Assur groups with multiple joints","volume":"33","author":"Chu","year":"1998","journal-title":"Mech. Mach. Theory"},{"key":"S0263574718001480_ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TRO.2007.898995"},{"key":"S0263574718001480_ref47","doi-asserted-by":"publisher","DOI":"10.1002\/rob.20010"},{"key":"S0263574718001480_ref24","doi-asserted-by":"publisher","DOI":"10.3901\/JME.2011.19.008"},{"key":"S0263574718001480_ref38","doi-asserted-by":"publisher","DOI":"10.1177\/02783649020210090501"},{"key":"S0263574718001480_ref41","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-4120-8_45"},{"key":"S0263574718001480_ref33","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-1718-7_40"},{"key":"S0263574718001480_ref7","first-page":"2096","volume-title":"Proceedings of the IEEE\/RSJ International Conference on Intelligent Robotics and Systems","volume":"USA","author":"Liu","year":"2003"},{"key":"S0263574718001480_ref46","doi-asserted-by":"publisher","DOI":"10.3901\/JME.2003.06.018"},{"key":"S0263574718001480_ref3","doi-asserted-by":"publisher","DOI":"10.1115\/1.2044787"},{"key":"S0263574718001480_ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2011.10.008"},{"key":"S0263574718001480_ref32","unstructured":"32. R. Clavel , \u201cDevice for the movement and positioning of an element in space,\u201d Patent 4976582, US, 1990."},{"key":"S0263574718001480_ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2006.01.004"},{"key":"S0263574718001480_ref31","doi-asserted-by":"publisher","DOI":"10.3901\/CJME.2013.06.1082"},{"key":"S0263574718001480_ref4","doi-asserted-by":"publisher","DOI":"10.1177\/0278364902021009314"},{"key":"S0263574718001480_ref15","doi-asserted-by":"publisher","DOI":"10.1017\/S0263574711000786"},{"key":"S0263574718001480_ref26","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1016\/0094-114X(90)90007-7","article-title":"Computer-aided structure synthesis of spatial kinematic chains","volume":"25","author":"Li","year":"1990","journal-title":"Mech. Mach. Theory"},{"key":"S0263574718001480_ref19","first-page":"DETC2008","volume-title":"Proceedings of the ASME 32nd Annual Mechanisms and Robotics Conference","author":"Yang"},{"key":"S0263574718001480_ref1","doi-asserted-by":"publisher","DOI":"10.1177\/027836402760475342"},{"key":"S0263574718001480_ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TRA.2004.824650"},{"key":"S0263574718001480_ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.euromechsol.2004.08.006"},{"key":"S0263574718001480_ref43","doi-asserted-by":"publisher","DOI":"10.1115\/1.1637662"},{"key":"S0263574718001480_ref39","volume-title":"Proceedings of the 2000 ASME Design Engineering Technical Conferences","author":"Zhao"},{"key":"S0263574718001480_ref14","doi-asserted-by":"publisher","DOI":"10.1177\/0954406214525365"},{"key":"S0263574718001480_ref5","doi-asserted-by":"publisher","DOI":"10.1016\/S0094-114X(98)00051-2"},{"key":"S0263574718001480_ref6","doi-asserted-by":"publisher","DOI":"10.1115\/1.2976447"},{"key":"S0263574718001480_ref10","doi-asserted-by":"publisher","DOI":"10.1115\/1.2839005"}],"container-title":["Robotica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0263574718001480","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,8]],"date-time":"2019-05-08T04:28:59Z","timestamp":1557289739000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0263574718001480\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,1]]},"references-count":47,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2019,6]]}},"alternative-id":["S0263574718001480"],"URL":"https:\/\/doi.org\/10.1017\/s0263574718001480","relation":{},"ISSN":["0263-5747","1469-8668"],"issn-type":[{"value":"0263-5747","type":"print"},{"value":"1469-8668","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,2,1]]}}}