Type synthesis of 2T1H parallel mechanisms without helical joints based on analytic formulation of screw type terminal constraints
•The method for type synthesis of 2T1H PMs is proposed.•Some novel 2T1H PMs are obtained.•The pitch characteristic of a novel 2T1H PM is analyzed. The type synthesis of 2T1H PMs without helical joints has not been carried out in the field of mechanisms. In this paper, we propose an analytical based...
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| Published in | Mechanism and machine theory Vol. 208; p. 105954 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.06.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0094-114X |
| DOI | 10.1016/j.mechmachtheory.2025.105954 |
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| Abstract | •The method for type synthesis of 2T1H PMs is proposed.•Some novel 2T1H PMs are obtained.•The pitch characteristic of a novel 2T1H PM is analyzed.
The type synthesis of 2T1H PMs without helical joints has not been carried out in the field of mechanisms. In this paper, we propose an analytical based approach combining solving vector equations and screw theory for the type synthesis of 2T1H PMs without helical joints. Firstly, the conditions of the terminal constraints for constructing the 2T1H PMs are analyzed based on the freedom and constraint space and screw theory. Secondly, the limbs suitable for constructing 2T1H PMs are screened and determined. Thirdly, the assembly conditions for 2T1H PMs are obtained from the analytical expressions of the corresponding terminal constraints and a series of novel PMs are synthesized through the synthesis process. Finally, the kinematics of a novel 2T1H PM is analyzed and the pitch characteristic of its terminal constraints is revealed. The research provides an effective method for the type synthesis of PMs with screw type terminal constraints and motions. The proposed new mechanisms will enrich the configurations of existing PMs. |
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| AbstractList | •The method for type synthesis of 2T1H PMs is proposed.•Some novel 2T1H PMs are obtained.•The pitch characteristic of a novel 2T1H PM is analyzed.
The type synthesis of 2T1H PMs without helical joints has not been carried out in the field of mechanisms. In this paper, we propose an analytical based approach combining solving vector equations and screw theory for the type synthesis of 2T1H PMs without helical joints. Firstly, the conditions of the terminal constraints for constructing the 2T1H PMs are analyzed based on the freedom and constraint space and screw theory. Secondly, the limbs suitable for constructing 2T1H PMs are screened and determined. Thirdly, the assembly conditions for 2T1H PMs are obtained from the analytical expressions of the corresponding terminal constraints and a series of novel PMs are synthesized through the synthesis process. Finally, the kinematics of a novel 2T1H PM is analyzed and the pitch characteristic of its terminal constraints is revealed. The research provides an effective method for the type synthesis of PMs with screw type terminal constraints and motions. The proposed new mechanisms will enrich the configurations of existing PMs. |
| ArticleNumber | 105954 |
| Author | Hu, Bo Bai, Peng |
| Author_xml | – sequence: 1 givenname: Bo orcidid: 0000-0003-2184-1848 surname: Hu fullname: Hu, Bo email: hubo@ysu.edu.cn organization: School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004 – sequence: 2 givenname: Peng surname: Bai fullname: Bai, Peng organization: School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004 |
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| Cites_doi | 10.1016/j.euromechsol.2005.02.004 10.1115/1.1667955 10.1016/j.mechmachtheory.2018.05.014 10.1016/0094-114X(78)90017-4 10.1109/TRO.2007.898995 10.1007/s12206-014-0931-7 10.1115/1.1901708 10.1109/TRO.2008.2008737 10.1016/j.mechmachtheory.2006.01.004 10.1109/TRA.2004.824650 10.1115/1.4003920 10.1016/j.mechmachtheory.2014.02.007 10.1016/j.mechmachtheory.2012.10.006 10.1177/0278364902021009314 10.1017/S0263574714000551 10.1016/j.mechmachtheory.2016.02.018 10.1016/0094-114X(82)90002-7 10.1016/j.mechmachtheory.2024.105606 10.1016/S0094-114X(98)00051-2 10.1016/j.mechmachtheory.2023.105277 10.1016/j.mechmachtheory.2023.105349 10.1017/S0263574708004542 10.1115/1.2965364 10.1115/1.1539508 10.1109/TRA.2003.820853 10.1016/j.mechmachtheory.2016.11.005 10.1016/j.euromechsol.2006.06.001 10.1016/S0094-114X(02)00044-7 10.1177/027836402760475342 10.1115/1.2717228 10.1115/1.2779892 10.1016/j.precisioneng.2011.04.006 |
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| References | Hervé (bib0007) 1999; 34 Huang, Li, Ding (bib0024) 2012 Kim, Chung (bib0040) 2003; 125 Lee, Herve (bib0004) 2007; 129 Gan, Dai, Dias, Seneviratne (bib0033) 2014; 28 Gao, Li, Zhao (bib0019) 2002; 37 Xie, Liu, Wang (bib0035) 2015; 33 Hervé (bib0001) 1978; 12 Yu, Pei, Zong (bib0036) 2014 Kumar, Piccin, Bayle (bib0042) 2014; 77 Yang, Liu, Jin, Luo, Shen, Hang (bib0018) 2009; 131 Kong, Gosselin, Richard (bib0028) 2007; 129 Brand (bib0041) 1947 Song, Xian, Huo, Qi (bib0013) 2023; 186 Gao, Yang, Ge (bib0020) 2011; 3 Herve (bib0003) 2004 Tsai (bib0044) 1999 Hopkins (bib0005) 2015; 7 Yang (bib0017) 2004 Gan, Dai, Caldwell (bib0031) 2011; 133 Li, Huang, Herve (bib0008) 2004; 20 Yang, Sun, Huang (bib0022) 2017; 109 Fang, Tsai (bib0039) 2002; 21 Kong, Gosselin (bib0043) 2004; 20 Angeles (bib0002) 2004; 126 Kong, Gosselin (bib0027) 2006; 41 Hu, Bai (bib0038) 2023; 184 Hervé (bib0006) 1982; 17 Huang, Li (bib0026) 2002; 21 Huang, Li (bib0025) 2003; 22 Kong (bib0030) 2013; 5 Sun, Huo (bib0023) 2018; 128 Li, Zhang, Tian (bib0011) 2024; 195 Gogu (bib0014) 2005; 24 Kong, Gosselin (bib0029) 2007 Li, Hervé (bib0009) 2009; 25 Gogu (bib0015) 2007; 26 S. F. Yang, T. Sun, T. Huang, Q. C. Li, D. B. Gu. A finite screw approach to type synthesis of three-DOF translational parallel mechanisms. Mechanism and Machine Theory, 2016, 104: 405-419. Dai, Huang, Lipkin (bib0032) 2006; 128 Fan, Liu, Zhang (bib0012) 2013; 61 Hopkins, Culpepper (bib0034) 2011; 35 Gogu (bib0016) 2009; 27 Meng, Liu, Li (bib0010) 2007; 23 Li, Zhang, Zhang (bib0037) 2020; 33 Hervé (10.1016/j.mechmachtheory.2025.105954_bib0006) 1982; 17 Huang (10.1016/j.mechmachtheory.2025.105954_bib0026) 2002; 21 10.1016/j.mechmachtheory.2025.105954_bib0021 Song (10.1016/j.mechmachtheory.2025.105954_bib0013) 2023; 186 Hu (10.1016/j.mechmachtheory.2025.105954_bib0038) 2023; 184 Yang (10.1016/j.mechmachtheory.2025.105954_bib0017) 2004 Lee (10.1016/j.mechmachtheory.2025.105954_bib0004) 2007; 129 Gao (10.1016/j.mechmachtheory.2025.105954_bib0020) 2011; 3 Sun (10.1016/j.mechmachtheory.2025.105954_bib0023) 2018; 128 Hopkins (10.1016/j.mechmachtheory.2025.105954_bib0034) 2011; 35 Fang (10.1016/j.mechmachtheory.2025.105954_bib0039) 2002; 21 Hervé (10.1016/j.mechmachtheory.2025.105954_bib0001) 1978; 12 Dai (10.1016/j.mechmachtheory.2025.105954_bib0032) 2006; 128 Brand (10.1016/j.mechmachtheory.2025.105954_bib0041) 1947 Gogu (10.1016/j.mechmachtheory.2025.105954_bib0015) 2007; 26 Gan (10.1016/j.mechmachtheory.2025.105954_bib0031) 2011; 133 Kong (10.1016/j.mechmachtheory.2025.105954_bib0027) 2006; 41 Kong (10.1016/j.mechmachtheory.2025.105954_bib0028) 2007; 129 Kim (10.1016/j.mechmachtheory.2025.105954_bib0040) 2003; 125 Gogu (10.1016/j.mechmachtheory.2025.105954_bib0014) 2005; 24 Li (10.1016/j.mechmachtheory.2025.105954_bib0009) 2009; 25 Kong (10.1016/j.mechmachtheory.2025.105954_bib0029) 2007 Herve (10.1016/j.mechmachtheory.2025.105954_bib0003) 2004 Meng (10.1016/j.mechmachtheory.2025.105954_bib0010) 2007; 23 Kong (10.1016/j.mechmachtheory.2025.105954_bib0043) 2004; 20 Gao (10.1016/j.mechmachtheory.2025.105954_bib0019) 2002; 37 Li (10.1016/j.mechmachtheory.2025.105954_bib0008) 2004; 20 Kumar (10.1016/j.mechmachtheory.2025.105954_bib0042) 2014; 77 Hopkins (10.1016/j.mechmachtheory.2025.105954_bib0005) 2015; 7 Angeles (10.1016/j.mechmachtheory.2025.105954_bib0002) 2004; 126 Gogu (10.1016/j.mechmachtheory.2025.105954_bib0016) 2009; 27 Huang (10.1016/j.mechmachtheory.2025.105954_bib0024) 2012 Tsai (10.1016/j.mechmachtheory.2025.105954_bib0044) 1999 Yang (10.1016/j.mechmachtheory.2025.105954_bib0018) 2009; 131 Gan (10.1016/j.mechmachtheory.2025.105954_bib0033) 2014; 28 Li (10.1016/j.mechmachtheory.2025.105954_bib0011) 2024; 195 Xie (10.1016/j.mechmachtheory.2025.105954_bib0035) 2015; 33 Kong (10.1016/j.mechmachtheory.2025.105954_bib0030) 2013; 5 Yu (10.1016/j.mechmachtheory.2025.105954_bib0036) 2014 Li (10.1016/j.mechmachtheory.2025.105954_bib0037) 2020; 33 Huang (10.1016/j.mechmachtheory.2025.105954_bib0025) 2003; 22 Hervé (10.1016/j.mechmachtheory.2025.105954_bib0007) 1999; 34 Fan (10.1016/j.mechmachtheory.2025.105954_bib0012) 2013; 61 Yang (10.1016/j.mechmachtheory.2025.105954_bib0022) 2017; 109 |
| References_xml | – reference: S. F. Yang, T. Sun, T. Huang, Q. C. Li, D. B. Gu. A finite screw approach to type synthesis of three-DOF translational parallel mechanisms. Mechanism and Machine Theory, 2016, 104: 405-419. – volume: 20 start-page: 181 year: 2004 end-page: 190 ident: bib0043 article-title: Type synthesis of 3T1R 4-DOF parallel manipulators based on screw theory publication-title: IEEE transactions on robotics and automation – year: 1999 ident: bib0044 article-title: Robot Analysis: The Mechanics of Serial and Parallel Manipulators – volume: 21 start-page: 131 year: 2002 end-page: 145 ident: bib0026 article-title: General methodology for type synthesis of symmetrical lower-mobility parallel manipulators and several novel manipulators publication-title: The International Journal of Robotics Research – volume: 12 start-page: 437 year: 1978 end-page: 450 ident: bib0001 article-title: Analyse Structurelle des Mécanismes par Groupe des Déplacements publication-title: Mechanism and Machine Theory – volume: 128 start-page: 412 year: 2018 end-page: 428 ident: bib0023 article-title: Type synthesis of 1T2R parallel mechanisms with parasitic motions publication-title: Mechanism and Machine Theory – volume: 186 year: 2023 ident: bib0013 article-title: Type synthesis of parallel mechanism with 3T/3R motion patterns publication-title: Mechanism and Machine Theory – volume: 41 start-page: 1306 year: 2006 end-page: 1319 ident: bib0027 article-title: Type synthesis of 4-DOF SP-equivalent parallel manipulators: A virtual chain approach publication-title: Mechanism and Machine Theory – volume: 37 start-page: 1395 year: 2002 end-page: 1411 ident: bib0019 article-title: New kinematic structures for 2-, 3-, 4-, and 5-DOF parallel manipulator designs publication-title: Mechanism and machine theory – volume: 25 start-page: 158 year: 2009 end-page: 164 ident: bib0009 article-title: Parallel mechanisms with bifurcation of Schoenflies motion publication-title: IEEE Transactions on Robotics – volume: 61 start-page: 184 year: 2013 end-page: 190 ident: bib0012 article-title: Type synthesis of 2T2R, 1T2R and 2R parallel mechanisms publication-title: Mechanism and Machine Theory – volume: 26 start-page: 242 year: 2007 end-page: 269 ident: bib0015 article-title: Structural synthesis of fully-isotropic parallel robots with Schönflies motions via theory of linear transformations and evolutionary morphology publication-title: European Journal of Mechanics-A/Solids – year: 1947 ident: bib0041 article-title: Vector and Tensor Analysis – volume: 128 start-page: 220 year: 2006 end-page: 229 ident: bib0032 article-title: Mobility of overconstrained parallel mechanisms publication-title: ASME Journal of Mechanical Design – volume: 109 start-page: 220 year: 2017 end-page: 230 ident: bib0022 article-title: Type synthesis of parallel mechanisms having 3T1R motion with variable rotational axis publication-title: Mechanism and Machine Theory – year: 2007 ident: bib0029 article-title: Type Synthesis of Parallel Mechanisms – volume: 3 year: 2011 ident: bib0020 article-title: Type Synthesis of Parallel Mechanisms Having the Second Class G(F) Sets and Two Dimensional Rotations publication-title: ASME Journal of Mechanisms and Robotics – volume: 126 start-page: 617 year: 2004 end-page: 624 ident: bib0002 article-title: The Qualitative Synthesis of Parallel Manipulators publication-title: ASME Journal of Mechanical Design – volume: 20 start-page: 173 year: 2004 end-page: 180 ident: bib0008 article-title: Type synthesis of 3R2T 5-DOF parallel mechanisms using the lie group of displacements publication-title: IEEE Transactions on Robotics and Automation – volume: 23 start-page: 625 year: 2007 end-page: 649 ident: bib0010 article-title: A geometric theory for analysis and synthesis of sub-6 DoF parallel manipulators publication-title: IEEE Transactions on Robotics – volume: 33 start-page: 622 year: 2015 end-page: 637 ident: bib0035 article-title: Design of a novel 3-DoF parallel kinematic mechanism: type synthesis and kinematic optimization publication-title: Robotica – volume: 7 year: 2015 ident: bib0005 article-title: A Visualization Approach for Analyzing and Synthesizing Serial Flexure Elements publication-title: ASME Journal of Mechanisms and Robotics – volume: 129 start-page: 595 year: 2007 end-page: 601 ident: bib0028 article-title: Type synthesis of parallel mechanisms with multiple operation modes publication-title: ASME Journal of Mechanical Design – volume: 184 year: 2023 ident: bib0038 article-title: Type synthesis of serial kinematic chains with screw type terminal constraints based on an adding joint method publication-title: Mechanism and Machine Theory – volume: 24 start-page: 690 year: 2005 end-page: 711 ident: bib0014 article-title: Mobility and spatiality of parallel robots revisited via theory of linear transformations publication-title: European Journal of Mechanics a-Solids – year: 2004 ident: bib0017 article-title: Topology Structure Design of Robot Mechanisms – volume: 129 start-page: 1256 year: 2007 end-page: 1264 ident: bib0004 article-title: Cartesian parallel manipulators with pseudo planar limbs publication-title: ASME Journal of Mechanical Design – volume: 131 year: 2009 ident: bib0018 article-title: Position and Orientation Characteristic Equation for Topological Design of Robot Mechanisms publication-title: Journal of Mechanical Design – volume: 77 start-page: 59 year: 2014 end-page: 72 ident: bib0042 article-title: A task-based type synthesis of novel 2T2R parallel mechanisms publication-title: Mechanism and Machine Theory – volume: 28 start-page: 4179 year: 2014 end-page: 4191 ident: bib0033 article-title: Constraint-plane-based synthesis and topology variation of a class of metamorphic parallel mechanisms publication-title: Journal of Mechanical Science and Technology – year: 2012 ident: bib0024 article-title: Theory of Parallel Mechanisms – year: 2014 ident: bib0036 article-title: Graphical Approach to Creative Design of Mechanical Devices – volume: 21 start-page: 799 year: 2002 end-page: 810 ident: bib0039 article-title: Structure synthesis of a class of 4-DoF and 5-DoF parallel manipulators with identical limb structures publication-title: The International journal of Robotics Research – volume: 17 start-page: 179 year: 1982 end-page: 184 ident: bib0006 article-title: Intrinsic Formulation of Problems of Geometry and Kinematics of Mechanisms publication-title: Mechanism and Machine Theory – volume: 27 start-page: 79 year: 2009 end-page: 101 ident: bib0016 article-title: Structural synthesis of maximally regular T3R2-type parallel robots via theory of linear transformations and evolutionary morphology publication-title: Robotica – volume: 133 year: 2011 ident: bib0031 article-title: Constraint-Based Limb Synthesis and Mobility-Change-Aimed Mechanism Construction publication-title: ASME Journal of Mechanical Design – volume: 22 start-page: 59 year: 2003 end-page: 79 ident: bib0025 article-title: Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method publication-title: The International Journal of Robotics Research – volume: 125 start-page: 158 year: 2003 end-page: 164 ident: bib0040 article-title: Analytic Formulation of Reciprocal Screws and Its Application to Nonredundant Robot Manipulators publication-title: ASME Journal of Mechanical Design – volume: 33 start-page: 134 year: 2020 end-page: 157 ident: bib0037 article-title: A New Method for Type Synthesis of 2R1T and 2T1R 3-DOF Redundant Actuated Parallel Mechanisms with Closed Loop Units publication-title: Chinese Journal of Mechanical Engineering – volume: 34 start-page: 719 year: 1999 end-page: 730 ident: bib0007 article-title: The Lie group of rigid body displacements, a fundamental tool for mechanism design publication-title: Mechanism and Machine theory – volume: 35 start-page: 638 year: 2011 end-page: 649 ident: bib0034 article-title: Synthesis of precision serial flexure systems using freedom and constraint topologies (FACT) publication-title: Precision Engineering – volume: 195 year: 2024 ident: bib0011 article-title: A family of generalized single-loop RCM parallel mechanisms: structure synthesis, kinematic model, and case study publication-title: Mechanism and Machine Theory – volume: 5 year: 2013 ident: bib0030 article-title: Type Synthesis of 3-DOF Parallel Manipulators with Both a Planar Operation Mode and a Spatial Translational Operation Mode publication-title: ASME Journal of Mechanisms and Robotics – year: 2004 ident: bib0003 article-title: Parallel Mechanisms with Pseudo-Planar Motion Gen Group publication-title: Proceedings of the Ninth World Congress on the Theory of Machines and Mechanisms – year: 1947 ident: 10.1016/j.mechmachtheory.2025.105954_bib0041 – volume: 24 start-page: 690 issue: 4 year: 2005 ident: 10.1016/j.mechmachtheory.2025.105954_bib0014 article-title: Mobility and spatiality of parallel robots revisited via theory of linear transformations publication-title: European Journal of Mechanics a-Solids doi: 10.1016/j.euromechsol.2005.02.004 – volume: 126 start-page: 617 issue: 2 year: 2004 ident: 10.1016/j.mechmachtheory.2025.105954_bib0002 article-title: The Qualitative Synthesis of Parallel Manipulators publication-title: ASME Journal of Mechanical Design doi: 10.1115/1.1667955 – volume: 128 start-page: 412 year: 2018 ident: 10.1016/j.mechmachtheory.2025.105954_bib0023 article-title: Type synthesis of 1T2R parallel mechanisms with parasitic motions publication-title: Mechanism and Machine Theory doi: 10.1016/j.mechmachtheory.2018.05.014 – volume: 5 issue: 4 year: 2013 ident: 10.1016/j.mechmachtheory.2025.105954_bib0030 article-title: Type Synthesis of 3-DOF Parallel Manipulators with Both a Planar Operation Mode and a Spatial Translational Operation Mode publication-title: ASME Journal of Mechanisms and Robotics – volume: 12 start-page: 437 issue: 4 year: 1978 ident: 10.1016/j.mechmachtheory.2025.105954_bib0001 article-title: Analyse Structurelle des Mécanismes par Groupe des Déplacements publication-title: Mechanism and Machine Theory doi: 10.1016/0094-114X(78)90017-4 – volume: 23 start-page: 625 issue: 4 year: 2007 ident: 10.1016/j.mechmachtheory.2025.105954_bib0010 article-title: A geometric theory for analysis and synthesis of sub-6 DoF parallel manipulators publication-title: IEEE Transactions on Robotics doi: 10.1109/TRO.2007.898995 – volume: 28 start-page: 4179 issue: 10 year: 2014 ident: 10.1016/j.mechmachtheory.2025.105954_bib0033 article-title: Constraint-plane-based synthesis and topology variation of a class of metamorphic parallel mechanisms publication-title: Journal of Mechanical Science and Technology doi: 10.1007/s12206-014-0931-7 – volume: 128 start-page: 220 issue: 1 year: 2006 ident: 10.1016/j.mechmachtheory.2025.105954_bib0032 article-title: Mobility of overconstrained parallel mechanisms publication-title: ASME Journal of Mechanical Design doi: 10.1115/1.1901708 – volume: 7 issue: 3 year: 2015 ident: 10.1016/j.mechmachtheory.2025.105954_bib0005 article-title: A Visualization Approach for Analyzing and Synthesizing Serial Flexure Elements publication-title: ASME Journal of Mechanisms and Robotics – volume: 25 start-page: 158 issue: 1 year: 2009 ident: 10.1016/j.mechmachtheory.2025.105954_bib0009 article-title: Parallel mechanisms with bifurcation of Schoenflies motion publication-title: IEEE Transactions on Robotics doi: 10.1109/TRO.2008.2008737 – volume: 41 start-page: 1306 issue: 11 year: 2006 ident: 10.1016/j.mechmachtheory.2025.105954_bib0027 article-title: Type synthesis of 4-DOF SP-equivalent parallel manipulators: A virtual chain approach publication-title: Mechanism and Machine Theory doi: 10.1016/j.mechmachtheory.2006.01.004 – volume: 20 start-page: 173 issue: 2 year: 2004 ident: 10.1016/j.mechmachtheory.2025.105954_bib0008 article-title: Type synthesis of 3R2T 5-DOF parallel mechanisms using the lie group of displacements publication-title: IEEE Transactions on Robotics and Automation doi: 10.1109/TRA.2004.824650 – volume: 133 issue: 5 year: 2011 ident: 10.1016/j.mechmachtheory.2025.105954_bib0031 article-title: Constraint-Based Limb Synthesis and Mobility-Change-Aimed Mechanism Construction publication-title: ASME Journal of Mechanical Design doi: 10.1115/1.4003920 – volume: 77 start-page: 59 year: 2014 ident: 10.1016/j.mechmachtheory.2025.105954_bib0042 article-title: A task-based type synthesis of novel 2T2R parallel mechanisms publication-title: Mechanism and Machine Theory doi: 10.1016/j.mechmachtheory.2014.02.007 – volume: 61 start-page: 184 year: 2013 ident: 10.1016/j.mechmachtheory.2025.105954_bib0012 article-title: Type synthesis of 2T2R, 1T2R and 2R parallel mechanisms publication-title: Mechanism and Machine Theory doi: 10.1016/j.mechmachtheory.2012.10.006 – volume: 21 start-page: 799 issue: 9 year: 2002 ident: 10.1016/j.mechmachtheory.2025.105954_bib0039 article-title: Structure synthesis of a class of 4-DoF and 5-DoF parallel manipulators with identical limb structures publication-title: The International journal of Robotics Research doi: 10.1177/0278364902021009314 – volume: 33 start-page: 622 issue: 3 year: 2015 ident: 10.1016/j.mechmachtheory.2025.105954_bib0035 article-title: Design of a novel 3-DoF parallel kinematic mechanism: type synthesis and kinematic optimization publication-title: Robotica doi: 10.1017/S0263574714000551 – ident: 10.1016/j.mechmachtheory.2025.105954_bib0021 doi: 10.1016/j.mechmachtheory.2016.02.018 – volume: 17 start-page: 179 issue: 3 year: 1982 ident: 10.1016/j.mechmachtheory.2025.105954_bib0006 article-title: Intrinsic Formulation of Problems of Geometry and Kinematics of Mechanisms publication-title: Mechanism and Machine Theory doi: 10.1016/0094-114X(82)90002-7 – volume: 195 year: 2024 ident: 10.1016/j.mechmachtheory.2025.105954_bib0011 article-title: A family of generalized single-loop RCM parallel mechanisms: structure synthesis, kinematic model, and case study publication-title: Mechanism and Machine Theory doi: 10.1016/j.mechmachtheory.2024.105606 – volume: 34 start-page: 719 issue: 5 year: 1999 ident: 10.1016/j.mechmachtheory.2025.105954_bib0007 article-title: The Lie group of rigid body displacements, a fundamental tool for mechanism design publication-title: Mechanism and Machine theory doi: 10.1016/S0094-114X(98)00051-2 – volume: 184 year: 2023 ident: 10.1016/j.mechmachtheory.2025.105954_bib0038 article-title: Type synthesis of serial kinematic chains with screw type terminal constraints based on an adding joint method publication-title: Mechanism and Machine Theory doi: 10.1016/j.mechmachtheory.2023.105277 – year: 1999 ident: 10.1016/j.mechmachtheory.2025.105954_bib0044 – year: 2004 ident: 10.1016/j.mechmachtheory.2025.105954_bib0017 – volume: 186 year: 2023 ident: 10.1016/j.mechmachtheory.2025.105954_bib0013 article-title: Type synthesis of parallel mechanism with 3T/3R motion patterns publication-title: Mechanism and Machine Theory doi: 10.1016/j.mechmachtheory.2023.105349 – volume: 27 start-page: 79 issue: 1 year: 2009 ident: 10.1016/j.mechmachtheory.2025.105954_bib0016 article-title: Structural synthesis of maximally regular T3R2-type parallel robots via theory of linear transformations and evolutionary morphology publication-title: Robotica doi: 10.1017/S0263574708004542 – volume: 131 issue: 2 year: 2009 ident: 10.1016/j.mechmachtheory.2025.105954_bib0018 article-title: Position and Orientation Characteristic Equation for Topological Design of Robot Mechanisms publication-title: Journal of Mechanical Design doi: 10.1115/1.2965364 – volume: 22 start-page: 59 issue: 1 year: 2003 ident: 10.1016/j.mechmachtheory.2025.105954_bib0025 article-title: Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method publication-title: The International Journal of Robotics Research – volume: 125 start-page: 158 issue: 1 year: 2003 ident: 10.1016/j.mechmachtheory.2025.105954_bib0040 article-title: Analytic Formulation of Reciprocal Screws and Its Application to Nonredundant Robot Manipulators publication-title: ASME Journal of Mechanical Design doi: 10.1115/1.1539508 – volume: 20 start-page: 181 issue: 2 year: 2004 ident: 10.1016/j.mechmachtheory.2025.105954_bib0043 article-title: Type synthesis of 3T1R 4-DOF parallel manipulators based on screw theory publication-title: IEEE transactions on robotics and automation doi: 10.1109/TRA.2003.820853 – year: 2007 ident: 10.1016/j.mechmachtheory.2025.105954_bib0029 – volume: 109 start-page: 220 year: 2017 ident: 10.1016/j.mechmachtheory.2025.105954_bib0022 article-title: Type synthesis of parallel mechanisms having 3T1R motion with variable rotational axis publication-title: Mechanism and Machine Theory doi: 10.1016/j.mechmachtheory.2016.11.005 – volume: 26 start-page: 242 issue: 2 year: 2007 ident: 10.1016/j.mechmachtheory.2025.105954_bib0015 article-title: Structural synthesis of fully-isotropic parallel robots with Schönflies motions via theory of linear transformations and evolutionary morphology publication-title: European Journal of Mechanics-A/Solids doi: 10.1016/j.euromechsol.2006.06.001 – volume: 37 start-page: 1395 issue: 11 year: 2002 ident: 10.1016/j.mechmachtheory.2025.105954_bib0019 article-title: New kinematic structures for 2-, 3-, 4-, and 5-DOF parallel manipulator designs publication-title: Mechanism and machine theory doi: 10.1016/S0094-114X(02)00044-7 – volume: 21 start-page: 131 issue: 2 year: 2002 ident: 10.1016/j.mechmachtheory.2025.105954_bib0026 article-title: General methodology for type synthesis of symmetrical lower-mobility parallel manipulators and several novel manipulators publication-title: The International Journal of Robotics Research doi: 10.1177/027836402760475342 – year: 2004 ident: 10.1016/j.mechmachtheory.2025.105954_bib0003 article-title: Parallel Mechanisms with Pseudo-Planar Motion Gen Group – year: 2012 ident: 10.1016/j.mechmachtheory.2025.105954_bib0024 – volume: 33 start-page: 134 issue: 6 year: 2020 ident: 10.1016/j.mechmachtheory.2025.105954_bib0037 article-title: A New Method for Type Synthesis of 2R1T and 2T1R 3-DOF Redundant Actuated Parallel Mechanisms with Closed Loop Units publication-title: Chinese Journal of Mechanical Engineering – volume: 129 start-page: 595 issue: 6 year: 2007 ident: 10.1016/j.mechmachtheory.2025.105954_bib0028 article-title: Type synthesis of parallel mechanisms with multiple operation modes publication-title: ASME Journal of Mechanical Design doi: 10.1115/1.2717228 – volume: 129 start-page: 1256 issue: 12 year: 2007 ident: 10.1016/j.mechmachtheory.2025.105954_bib0004 article-title: Cartesian parallel manipulators with pseudo planar limbs publication-title: ASME Journal of Mechanical Design doi: 10.1115/1.2779892 – year: 2014 ident: 10.1016/j.mechmachtheory.2025.105954_bib0036 – volume: 35 start-page: 638 issue: 4 year: 2011 ident: 10.1016/j.mechmachtheory.2025.105954_bib0034 article-title: Synthesis of precision serial flexure systems using freedom and constraint topologies (FACT) publication-title: Precision Engineering doi: 10.1016/j.precisioneng.2011.04.006 – volume: 3 issue: 1 year: 2011 ident: 10.1016/j.mechmachtheory.2025.105954_bib0020 article-title: Type Synthesis of Parallel Mechanisms Having the Second Class G(F) Sets and Two Dimensional Rotations publication-title: ASME Journal of Mechanisms and Robotics |
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| Snippet | •The method for type synthesis of 2T1H PMs is proposed.•Some novel 2T1H PMs are obtained.•The pitch characteristic of a novel 2T1H PM is analyzed.
The type... |
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| SubjectTerms | 2T1H parallel mechanisms assembly conditions screw type terminal constraint type synthesis |
| Title | Type synthesis of 2T1H parallel mechanisms without helical joints based on analytic formulation of screw type terminal constraints |
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