{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T21:27:44Z","timestamp":1762032464370,"version":"3.33.0"},"reference-count":23,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2004,6,1]],"date-time":"2004-06-01T00:00:00Z","timestamp":1086048000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The International Journal of Robotics Research"],"published-print":{"date-parts":[[2004,6]]},"abstract":"<jats:p> This paper addresses an interval analysis based study that is applied to the design and the comparison of three-degrees-of-freedom (3-DoF) parallel kinematic machines. Two design criteria are used: (i) a regular workspace shape and (ii) a kinetostatic performance index that needs to be as homogeneous as possible throughout the workspace. The interval analysis based method takes these two criteria into account; on the basis of prescribed kinetostatic performances, the workspace is analyzed to find the largest regular dextrous workspace enclosed in the Cartesian workspace. An algorithm describing this method is introduced. Two 3-DoF translational parallel mechanisms designed for machining applications are compared using this method. The first machine features three fixed linear joints which are mounted orthogonally and the second features three linear joints which are mounted in parallel. In both cases, the mobile platform moves in the Cartesian x - y - z space with fixed orientation. <\/jats:p>","DOI":"10.1177\/0278364904044079","type":"journal-article","created":{"date-parts":[[2004,5,29]],"date-time":"2004-05-29T07:24:04Z","timestamp":1085815444000},"page":"615-624","source":"Crossref","is-referenced-by-count":89,"title":["An Interval Analysis Based Study for the Design and the Comparison of                Three-Degrees-of-Freedom Parallel Kinematic Machines"],"prefix":"10.1177","volume":"23","author":[{"given":"D.","family":"Chablat","sequence":"first","affiliation":[{"name":"Institut de Recherche en Communications et Cybern\u00e9tique de                        Nantes, 1, rue de la No\u00eb, 44321 Nantes, France,"}]},{"given":"Ph.","family":"Wenger","sequence":"additional","affiliation":[{"name":"Institut de Recherche en Communications et Cybern\u00e9tique de                        Nantes, 1, rue de la No\u00eb, 44321 Nantes, France,"}]},{"given":"F.","family":"Majou","sequence":"additional","affiliation":[{"name":"Institut de Recherche en Communications et Cybern\u00e9tique de                        Nantes, 1, rue de la No\u00eb, 44321 Nantes, France,"}]},{"given":"J. -P.","family":"Merlet","sequence":"additional","affiliation":[{"name":"INRIA Sophia-Antipolis, 2004 Route des Lucioles, 06902 Sophia Antipolis,                        France,"}]}],"member":"179","published-online":{"date-parts":[[2004,6,1]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1177\/027836402760475360"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1109\/TRA.2003.810242"},{"key":"atypb3","doi-asserted-by":"crossref","unstructured":"Chablat, D., Wenger, Ph., and Merlet, J.P. June 2002. Workspace analysis of the Orthoglide using interval analysis . Proceedings of the 8th International Symposium on Advances in Robot Kinematics, Caldes de Malavella, Spain. Kluwer Academic, Dordrecht, pp. 397-406 .","DOI":"10.1007\/978-94-017-0657-5_42"},{"key":"atypb4","unstructured":"Clavel, R. 1988. DELTA, a fast robot with parallel geometry . Proceedings of the 18th International Symposium of Industrial Robots, Lausanne, Switzerland, pp. 91-100 ."},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1016\/S0094-114X(02)00040-X"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1115\/1.2912772"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1115\/1.3258901"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1109\/TRA.2003.808857"},{"key":"atypb9","doi-asserted-by":"crossref","unstructured":"Kim, J., Park, C., Kim, J., and Park, F. C. 1997. Performance analysis of parallel manipulator architectures for CNC machining applications . Proceedings of the IMECE Symposium on Machine Tools, Dallas, TX.","DOI":"10.1115\/IMECE1997-1170"},{"key":"atypb10","unstructured":"Kong, X., and Gosselin, C. M. 2002. A class of 3-DoF translational parallel manipulators with linear I-O equations . Proceedings of Workshop on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators, Qu\u00e9bec, Canada (on CD-ROM)."},{"key":"atypb11","doi-asserted-by":"crossref","unstructured":"Luh, C.M., Adkins, F. A., Haug, E. J., and Qui, C. C. 1996. Working capability analysis of Stewart platforms . Transactions of ASME, Journal of Mechanical Design 118(2): 221-227 .","DOI":"10.1115\/1.2826873"},{"key":"atypb12","doi-asserted-by":"crossref","unstructured":"Merlet, J.P. 1996. Workspace-oriented methodology for designing a parallel manipulator . 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