{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,24]],"date-time":"2025-12-24T12:32:54Z","timestamp":1766579574369,"version":"build-2065373602"},"reference-count":73,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,7,9]],"date-time":"2023-07-09T00:00:00Z","timestamp":1688860800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Russian Science Foundation (RSF)","award":["22-79-10304"],"award-info":[{"award-number":["22-79-10304"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Robotics"],"abstract":"<jats:p>The article proposes an approach for synthesizing hybrid (parallel-serial) manipulators with five degrees of freedom (5-DOF) using open kinematic chains. The method idea consists in taking an open kinematic chain, selecting a subchain within it, and replacing the subchain with a parallel mechanism. The article considers 5-DOF open chains and 3-DOF subchains, substituted for 3-DOF parallel mechanisms with the same motion pattern as the subchain. Thus, synthesized hybrid manipulators have a 3-DOF parallel part and a 2-DOF serial part. First, we grouped 26 structures of open chains with revolute and prismatic joints into five types and 78 subtypes. Next, for each type, we selected one subtype and presented several hybrid mechanisms that can correspond to it. We considered hybrid manipulators that included 3-DOF parallel mechanisms with planar, spherical, and other commonly used motion types. The suggested synthesis method is intuitive for a designer, and it does not need any mathematical formulations like screw theory or group theory approaches.<\/jats:p>","DOI":"10.3390\/robotics12040098","type":"journal-article","created":{"date-parts":[[2023,7,10]],"date-time":"2023-07-10T01:02:50Z","timestamp":1688950970000},"page":"98","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Type Synthesis of 5-DOF Hybrid (Parallel-Serial) Manipulators Designed from Open Kinematic Chains"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3928-5440","authenticated-orcid":false,"given":"Anton","family":"Antonov","sequence":"first","affiliation":[{"name":"Mechanisms Theory and Machines Structure Laboratory, Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN), 101000 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4071-8407","authenticated-orcid":false,"given":"Alexey","family":"Fomin","sequence":"additional","affiliation":[{"name":"Mechanisms Theory and Machines Structure Laboratory, Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN), 101000 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4802-0217","authenticated-orcid":false,"given":"Victor","family":"Glazunov","sequence":"additional","affiliation":[{"name":"Mechanisms Theory and Machines Structure Laboratory, Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN), 101000 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2975-4485","authenticated-orcid":false,"given":"Daniil","family":"Petelin","sequence":"additional","affiliation":[{"name":"Mechanisms Theory and Machines Structure Laboratory, Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN), 101000 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4081-8857","authenticated-orcid":false,"given":"Gleb","family":"Filippov","sequence":"additional","affiliation":[{"name":"Mechanisms Theory and Machines Structure Laboratory, Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN), 101000 Moscow, Russia"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1186\/s10033-019-0350-x","article-title":"Type synthesis of lower mobility parallel mechanisms: A review","volume":"32","author":"Ye","year":"2019","journal-title":"Chin. J. Mech. Eng."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Li, Q., Herv\u00e9, J.M., and Ye, W. (2020). Geometric Method for Type Synthesis of Parallel Manipulators, Springer.","DOI":"10.1007\/978-981-13-8755-5"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"011003","DOI":"10.1115\/1.4002697","article-title":"Type synthesis of parallel mechanisms having the second class GF sets and two dimensional rotations","volume":"3","author":"Gao","year":"2011","journal-title":"J. Mech. Robot."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/j.mechmachtheory.2018.08.026","article-title":"Type synthesis of a 3-mixed-DOF protectable leg mechanism of a firefighting multi-legged robot based on GF set theory","volume":"130","author":"Zhang","year":"2018","journal-title":"Mech. Mach. Theory"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Yang, T.L., Liu, A.X., Shen, H.P., Hang, L.B., Luo, Y.F., and Jin, Q. (2018). Topology Design of Robot Mechanisms, Springer.","DOI":"10.1007\/978-981-10-5532-4"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Gogu, G. (2008). Structural Synthesis of Parallel Robots: Part 1\u2014Methodology, Springer.","DOI":"10.1007\/978-1-4020-5710-6"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Sun, T., Yang, S., and Lian, B. (2020). Finite and Instantaneous Screw Theory in Robotic Mechanism, Springer.","DOI":"10.1007\/978-981-15-1944-4"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1016\/j.mechmachtheory.2017.11.009","article-title":"Type synthesis of 1T2R and 2R1T parallel mechanisms employing conformal geometric algebra","volume":"121","author":"Song","year":"2018","journal-title":"Mech. Mach. Theory"},{"key":"ref_9","first-page":"59","article-title":"Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method","volume":"22","author":"Huang","year":"2003","journal-title":"Int. J. Robot. Res."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Huang, Z., Li, Q., and Ding, H. (2013). Theory of Parallel Mechanisms, Springer.","DOI":"10.1007\/978-94-007-4201-7"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1007\/s40430-020-02675-x","article-title":"A new method for type synthesis of parallel mechanisms using screw theory and features of genetic algorithms","volume":"42","author":"Simoni","year":"2020","journal-title":"J. Braz. Soc. Mech. Sci. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"105277","DOI":"10.1016\/j.mechmachtheory.2023.105277","article-title":"Type synthesis of serial kinematic chains with screw type terminal constraints based on an adding joint method","volume":"184","author":"Hu","year":"2023","journal-title":"Mech. Mach. Theory"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Kong, X., and Gosselin, C. (2007). Type Synthesis of Parallel Mechanisms, Springer.","DOI":"10.1115\/DETC2006-99628"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/j.precisioneng.2009.06.008","article-title":"Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (FACT)\u2014Part I: Principles","volume":"34","author":"Hopkins","year":"2010","journal-title":"Precis. Eng."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/j.precisioneng.2009.06.007","article-title":"Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (FACT). Part II: Practice","volume":"34","author":"Hopkins","year":"2010","journal-title":"Precis. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1073","DOI":"10.3901\/CJME.2013.06.1073","article-title":"Type synthesis of 4-DOF parallel kinematic mechanisms based on Grassmann line geometry and atlas method","volume":"26","author":"Xie","year":"2013","journal-title":"Chin. J. Mech. Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"104656","DOI":"10.1016\/j.mechmachtheory.2021.104656","article-title":"Type synthesis of single-loop deployable mechanisms based on improved atlas method for single-DOF grasping manipulators","volume":"169","author":"Zhang","year":"2022","journal-title":"Mech. Mach. Theory"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Kuo, C.H., and Dai, J.S. (2010, January 15\u201318). Structural synthesis of serial robotic manipulators subject to specific motion constraints. Proceedings of the ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Montreal, QC, Canada.","DOI":"10.1115\/DETC2010-28947"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1016\/j.mechmachtheory.2013.08.010","article-title":"Task-oriented structure synthesis of a class of parallel manipulators using motion constraint generator","volume":"70","author":"Kuo","year":"2013","journal-title":"Mech. Mach. Theory"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Bo\u00ebr, C.R., Molinari-Tosatti, L., and Smith, K.S. (1999). Parallel Kinematic Machines, Springer.","DOI":"10.1007\/978-1-4471-0885-6"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1145","DOI":"10.1016\/j.mechmachtheory.2005.01.003","article-title":"Type synthesis of unified planar\u2013spatial mechanisms by systematic linkage and topology matrix-graph technique","volume":"40","author":"Lu","year":"2005","journal-title":"Mech. Mach. Theory"},{"key":"ref_22","unstructured":"Ramirez, D. (2018). Automatic Generation of Task-Specific Serial Mechanisms Using Combined Structural and Dimensional Synthesis. [Ph.D. Thesis, Gottfried Wilhelm Leibniz Universit\u00e4t]."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/j.mechmachtheory.2014.03.008","article-title":"Type synthesis of parallel robotic mechanisms: Framework and brief review","volume":"78","author":"Meng","year":"2014","journal-title":"Mech. Mach. Theory"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"206181","DOI":"10.1155\/2013\/206181","article-title":"Type synthesis and typical application of 1T2R-type parallel robotic mechanisms","volume":"2013","author":"Xie","year":"2013","journal-title":"Math. Probl. Eng."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Lin, G., Huang, P., Wang, M., Xu, Y., Zhang, R., and Zhu, L. (2022). An inverse kinematics solution for a series-parallel hybrid banana-harvesting robot based on deep reinforcement learning. Agronomy, 12.","DOI":"10.3390\/agronomy12092157"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/j.rcim.2012.12.004","article-title":"An active hybrid parallel robot for minimally invasive surgery","volume":"29","author":"Pisla","year":"2013","journal-title":"Robot. Comp. Int. Manuf."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"6617","DOI":"10.1109\/TIE.2019.2937041","article-title":"Towards robotic-assisted subretinal injection: A hybrid parallel\u2013serial robot system design and preliminary evaluation","volume":"67","author":"Zhou","year":"2020","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1016\/0094-114X(94)90061-2","article-title":"Synthesis of parallel manipulators with linear drive modules","volume":"29","author":"Chakarov","year":"1994","journal-title":"Mech. Mach. Theory"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"984","DOI":"10.1016\/j.mechmachtheory.2007.07.006","article-title":"A type synthesis method for hybrid robot structures","volume":"43","author":"Campos","year":"2008","journal-title":"Mech. Mach. Theory"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1016\/j.mechmachtheory.2004.02.008","article-title":"Structural synthesis of parallel manipulators","volume":"39","author":"Alizade","year":"2004","journal-title":"Mech. Mach. Theory"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"041003","DOI":"10.1115\/1.3204253","article-title":"Structural synthesis of serial-parallel hybrid mechanisms based on representation and operation of logical matrix","volume":"1","author":"Zeng","year":"2009","journal-title":"J. Mech. Robot."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1017\/S0263574711000865","article-title":"Algorithm for topological design of multi-loop hybrid mechanisms via logical proposition","volume":"30","author":"Zeng","year":"2012","journal-title":"Robotica"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/j.mechmachtheory.2011.10.008","article-title":"Structural synthesis and analysis of serial\u2013parallel hybrid mechanisms with spatial multi-loop kinematic chains","volume":"49","author":"Zeng","year":"2012","journal-title":"Mech. Mach. Theory"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"56","DOI":"10.3901\/JME.2011.23.056","article-title":"Type design method and the application for hybrid robot based on freedom distribution and position and orientation characteristic set","volume":"47","author":"Shen","year":"2011","journal-title":"J. Mech. Eng."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Antonov, A., Fomin, A., Glazunov, V., Kiselev, S., and Carbone, G. (2021). Inverse and forward kinematics and workspace analysis of a novel 5-DOF (3T2R) parallel\u2013serial (hybrid) manipulator. Int. J. Adv. Robot. Syst., 18.","DOI":"10.1177\/1729881421992963"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"011004","DOI":"10.1115\/1.4029834","article-title":"Design and analysis of 3R2T and 3R3T parallel mechanisms with high rotational capability","volume":"8","author":"Wang","year":"2016","journal-title":"J. Mech. Robot."},{"key":"ref_37","unstructured":"Kim, S.K., Shin, W.H., Ko, S.Y., Kim, J., and Kwon, D.S. (2008, January 2\u20135). Design of a compact 5-DOF surgical robot of a spherical mechanism: CURES. Proceedings of the 2008 IEEE\/ASME International Conference on Advanced Intelligent Mechatronics, Xi\u2019an, China."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Lenar\u010di\u010d, J., and Stani\u0161i\u0107, M.M. (2010). Advances in Robot Kinematics: Motion in Man and Machine, Springer.","DOI":"10.1007\/978-90-481-9262-5"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1109\/JSYST.2014.2358876","article-title":"A hybrid switched reactive-based visual servo control of 5-DOF robot manipulators for pick-and-place tasks","volume":"9","author":"Tsai","year":"2015","journal-title":"IEEE Syst. J."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/s00170-005-0171-1","article-title":"A novel 5-DOF fully parallel kinematic machine tool","volume":"31","author":"Gao","year":"2006","journal-title":"Int. J. Adv. Manuf. Tech."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.rcim.2019.05.016","article-title":"Kinematic calibration of a 5-DOF hybrid kinematic machine tool by considering the ill-posed identification problem using regularisation method","volume":"60","author":"Tian","year":"2019","journal-title":"Robot. Comp. Int. Manuf."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"680","DOI":"10.3901\/CJME.2013.04.680","article-title":"Parameters optimization of a novel 5-DOF gasbag polishing machine tool","volume":"26","author":"Li","year":"2013","journal-title":"Chin. J. Mech. Eng."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"4441","DOI":"10.1177\/0954406216668911","article-title":"Stiffness modeling, analysis and evaluation of a 5 degree of freedom hybrid manipulator for friction stir welding","volume":"231","author":"Sun","year":"2017","journal-title":"Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci."},{"key":"ref_44","first-page":"392","article-title":"Structural synthesis of 5-DOF hybrid mechanisms based on GF set","volume":"46","author":"Cao","year":"2015","journal-title":"Trans. Chin. Soc. Agr. Mach."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"29","DOI":"10.3901\/JME.2018.05.029","article-title":"Structural synthesis of fully-isotropic five degree-of-freedom hybrid kinematic mechanisms","volume":"54","author":"Cao","year":"2018","journal-title":"J. Mech. Eng."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1080\/09544828.2016.1150968","article-title":"Structural synthesis of five-degree-of-freedom hybrid kinematics mechanism","volume":"27","author":"Zhou","year":"2016","journal-title":"J. Eng. Des."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"101","DOI":"10.3901\/JME.2015.13.101","article-title":"Position and orientation characteristic based method and enlightenment for topology characteristic analysis of typical parallel mechanisms and its application","volume":"51","author":"Shen","year":"2015","journal-title":"J. Mech. Eng."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"2320","DOI":"10.1177\/0954406211433246","article-title":"Type synthesis of spatial mechanisms for forging manipulators","volume":"226","author":"Xu","year":"2012","journal-title":"Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"103766","DOI":"10.1016\/j.mechmachtheory.2019.103766","article-title":"Type synthesis of overconstrained 2R1T parallel mechanisms with the fewest kinematic joints based on the ultimate constraint wrenches","volume":"147","author":"Xu","year":"2020","journal-title":"Mech. Mach. Theory"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"72217","DOI":"10.1109\/ACCESS.2021.3079266","article-title":"Type synthesis of 2T1R planar parallel mechanisms and their moduling development applications","volume":"9","author":"Zhang","year":"2021","journal-title":"IEEE Access"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1016\/j.rcim.2018.04.004","article-title":"Design of a novel 5-DOF hybrid serial-parallel manipulator and theoretical analysis of its parallel part","volume":"53","author":"Zhang","year":"2018","journal-title":"Robot. Comp. Int. Manuf."},{"key":"ref_52","unstructured":"Merlet, J.P. (2006). Parallel Robots, Springer. [2nd ed.]."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"1175","DOI":"10.1016\/j.mechmachtheory.2004.06.003","article-title":"Enumeration of a class of overconstrained mechanisms using the theory of reciprocal screws","volume":"39","author":"Fang","year":"2004","journal-title":"Mech. Mach. Theory"},{"key":"ref_54","unstructured":"Riordan, J. (2002). Introduction to Combinatorial Analysis, Dover Publications. [Dover ed.]."},{"key":"ref_55","doi-asserted-by":"crossref","unstructured":"He, P., Kantu, N.T., Xu, B., Swami, C.P., Saleem, G.T., and Kang, J. (2021). A novel 3-RRR spherical parallel instrument for daily living emulation (SPINDLE) for functional rehabilitation of patients with stroke. Int. J. Adv. Robot. Syst., 18.","DOI":"10.1177\/17298814211012325"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/s10846-017-0752-x","article-title":"Kinematics, singularity study and optimization of an innovative spherical parallel manipulator with large workspace","volume":"92","author":"Khoshnoodi","year":"2018","journal-title":"J. Intell. Robot. Syst."},{"key":"ref_57","doi-asserted-by":"crossref","unstructured":"Si, G., Chen, F., and Zhang, X. (2022). Comparison of the dynamic performance of planar 3-DOF parallel manipulators. Machines, 10.","DOI":"10.3390\/machines10040233"},{"key":"ref_58","doi-asserted-by":"crossref","unstructured":"Bonev, I.A., Yu, A., and Zsombor-Murray, P. (2006, January 9\u201313). XY-Theta positioning table with parallel kinematics and unlimited theta rotation. Proceedings of the 2006 IEEE International Symposium on Industrial Electronics, Montreal, QC, Canada.","DOI":"10.1109\/ISIE.2006.296113"},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/s10033-017-0045-0","article-title":"New family of RPR-equivalent parallel mechanisms: Design and application","volume":"30","author":"Li","year":"2017","journal-title":"Chin. J. Mech. Eng."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"1333","DOI":"10.1109\/TRO.2014.2344450","article-title":"Type synthesis of 3-DOF RPR-equivalent parallel mechanisms","volume":"30","author":"Li","year":"2014","journal-title":"IEEE Trans. Robot."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1115\/1.2044787","article-title":"Type synthesis of 3-DOF PPR-equivalent parallel manipulators based on screw theory and the concept of virtual chain","volume":"127","author":"Kong","year":"2005","journal-title":"J. Mech. Des."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.rcim.2013.07.002","article-title":"Type synthesis of 2T1R-type parallel kinematic mechanisms and the application in manufacturing","volume":"30","author":"Xie","year":"2014","journal-title":"Robot. Comp. Int. Manuf."},{"key":"ref_63","doi-asserted-by":"crossref","unstructured":"Yao, Y., Wu, W., Li, R., and Zhao, Y. (2023). Parasitic motions of 3-PRS parallel mechanisms with two different branch chain arrangements. Appl. Sci., 13.","DOI":"10.3390\/app13095425"},{"key":"ref_64","doi-asserted-by":"crossref","unstructured":"Ding, X., Kong, X., and Dai, J.S. (2016). Advances in Reconfigurable Mechanisms and Robots II, Springer.","DOI":"10.1007\/978-3-319-23327-7"},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"103743","DOI":"10.1016\/j.mechmachtheory.2019.103743","article-title":"Inverse displacement analysis of a novel hybrid humanoid robotic arm","volume":"147","author":"Sun","year":"2020","journal-title":"Mech. Mach. Theory"},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"841","DOI":"10.3901\/CJME.2015.0128.052","article-title":"Comparison of parallel kinematic machines with three translational degrees of freedom and linear actuation","volume":"28","author":"Prause","year":"2015","journal-title":"Chin. J. Mech. Eng."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1186\/s10033-018-0201-1","article-title":"New family of 3-DOF UP-equivalent parallel mechanisms with high rotational capability","volume":"31","author":"Ye","year":"2018","journal-title":"Chin. J. Mech. Eng."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/j.mechmachtheory.2018.08.011","article-title":"Improving the kinematic performance of a planar 3-RRR parallel manipulator through actuation mode conversion","volume":"130","author":"Zhang","year":"2018","journal-title":"Mech. Mach. Theory"},{"key":"ref_69","doi-asserted-by":"crossref","unstructured":"Laryushkin, P., Antonov, A., Fomin, A., and Essomba, T. (2022). Velocity and singularity analysis of a 5-DOF (3T2R) parallel-serial (hybrid) manipulator. Machines, 10.","DOI":"10.3390\/machines10040276"},{"key":"ref_70","first-page":"317","article-title":"Inverse kinematics of a 5-Dof hybrid manipulator","volume":"84","author":"Antonov","year":"2023","journal-title":"Autom. Remote Control"},{"key":"ref_71","doi-asserted-by":"crossref","unstructured":"Laribi, M.A., Nelson, C.A., Ceccarelli, M., and Zeghloul, S. (2023). New Advances in Mechanisms, Transmissions and Applications, Springer.","DOI":"10.1007\/978-3-031-29815-8"},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"103812","DOI":"10.1016\/j.mechmachtheory.2020.103812","article-title":"Analytical determination of shape singularities for three types of parallel manipulators","volume":"149","author":"Wu","year":"2020","journal-title":"Mech. Mach. Theory"},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"010802","DOI":"10.1115\/1.4038931","article-title":"Redundancy in parallel mechanisms: A review","volume":"70","author":"Gosselin","year":"2018","journal-title":"Appl. Mech. Rev."}],"container-title":["Robotics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2218-6581\/12\/4\/98\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:09:24Z","timestamp":1760126964000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2218-6581\/12\/4\/98"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,9]]},"references-count":73,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,8]]}},"alternative-id":["robotics12040098"],"URL":"https:\/\/doi.org\/10.3390\/robotics12040098","relation":{},"ISSN":["2218-6581"],"issn-type":[{"type":"electronic","value":"2218-6581"}],"subject":[],"published":{"date-parts":[[2023,7,9]]}}}