[1] W M Thomas. Friction stir butt welding: International Patent Application No. PCT/GB92/02203, 1991.
[2] P L Threadgill, A J Leonard, H R Shercliff, et al. Friction stir welding of aluminium alloys. International Materials Reviews, 2009, 54(2): 49–93.
[3] R Nandan, T DebRoy, H K D H Bhadeshia. Recent advances in friction-stir welding-process, weldment structure and properties. Progress in Materials Science, 2008, 53(6): 980–1023.
[4] M Soron, I Kalaykov. A robot prototype for friction stir welding. Proceedings of the IEEE Conference on Robotics, Automation and Mechatronics, Bangkok, Thailand, June 1–3, 2006: 1–5.
[5] A V Strombeck, C Schilling, J D Santos. Robotic friction stir welding-tool technology and applications. Biuletyn Instytutu Spawalnictwa, 2001, 45(6): 49–52.
[6] A P Manogaran, G Racineux, J Y Hascoet. Measurement and comparison of force effort during friction stir welding in a parallel kinematic 5-axis milling machine. Proceedings of the ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, Nantes, France, July 2–4, 2012: 115–121.
[7] J Shi, Y H Wang, G Zhang, et al. Optimal design of 3-DOF PKM module for friction stir welding. International Journal of Advanced Manufacturing Technology, 2013, 66(9–12): 1879–1889.
[8] Q C Li, W F Wu, J N Xiang, et al. A hybrid robot for friction stir welding. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science, 2015, 229(14): 2639–2650.
[9] C Z Wang, Y F Fang, S Guo, et al. Design and kinematical performance analysis of a 3-RUS/RRR redundantly actuated parallel mechanism for ankle rehabilitation. Journal of Mechanisms and Robotics, 2013, 5(4): 041003.
[10] C Z Wang, Y F Fang, S Guo. Multi-objective optimization of a parallel ankle rehabilitation robot using modified differential evolution algorithm. Chinese Journal of Mechanical Engineering, 2015, 28(4): 702–715.
[11] H B Qu, Y F Fang, S Guo. Structural synthesis of a class of 3-DOF wrist mechanisms with redundantly-actuated closed-loop units. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2016, 230(2): 276–290.
[12] J Wu, B B Zhang, L P Wang. Optimum design and performance comparison of a redundantly actuated solar tracker and its nonredundant counterpart. Solar Energy, 2016, 127: 36–47.
[13] L P Wang, B B Zhang, J Wu. Optimum design of a 4-PSS-PU redundant parallel manipulator based on kinematics and dynamics. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2016, 230(13): 2273–2284.
[14] J Wu, B B Zhang, L P Wang. A measure for evaluation of maximum acceleration of redundant and nonredundant parallel manipulators, Journal of Mechanisms and Robotics, 2016, 8(2): 021001.
[15] J Wu, T M Li, B Q Xu. Force optimization of planar 2-DOF parallel manipulators with actuation redundancy considering deformation. Proceedings of Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 2013, 227(6): 1371–1377.
[16] F G Xie, X J Liu, Y H Zhou. Optimization of a redundantly actuated parallel kinematic mechanism for a 5-degree-of-freedom hybrid machine tool. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 2014, 228(12): 1630–1641.
[17] J Kim, F C Park, S J Ryu, et al. Design and analysis of a redundantly actuated parallel mechanism for rapid machining. IEEE Transactions on Robotics and Automation, 2001, 17(4): 423–434.
[18] S H Kim, D Jeon, H P Shin, et al. Design and analysis of decoupled parallel mechanism with redundant actuator. International Journal of Precision Engineering and Manufacturing, 2009, 10(4): 93–99.
[19] H Shin, S C Lee, W In, et al. Kinematic optimization of a redundantly actuated parallel mechanism for maximizing stiffness and workspace using Taguchi method. Journal of Computational and Nonlinear Dynamics, 2011, 6(1): 011017.
[20] S Jin, J Kim, T Seo. Optimization of a redundantly actuated 5R symmetrical parallel mechanism based on structural stiffness. Robotica, 2015, 33(9): 1973–1983.
[21] H Saafi, M A Laribi, S Zeghloul. Redundantly actuated 3-RRR spherical parallel manipulator used as a haptic device: improving dexterity and eliminating singularity. Robotica, 2015, 33(5): 1113–1130.
[22] H Wang, L Y Kong, G L Chen, et al. Design of an actuation device with the capability of automatically distributing external load based on stability theorems. Journal of Mechanical Design, 2015, 137(8): 085001.
[23] J H Choi, T W Seo, J W Lee. Torque distribution optimization of redundantly actuated planar parallel mechanisms based on a null-space solution. Robotica, 2014, 32(7): 1125–1134.
[24] H Cheng, Y K Yiu, Z Li. Dynamics and control of redundantly actuated parallel manipulators. IEEE-ASME Transactions on Mechatronics, 2003, 8(4): 483–491.
[25] A Müller. Problems in the control of redundantly actuated parallel manipulators caused by geometric imperfections. Meccanica, 2011, 46(1): 41–49.
[26] A Müller. Consequences of geometric imperfections for the control of redundantly actuated parallel manipulators. IEEE Transactions on Robotics, 2010, 26(1): 21–31.
[27] A Müller. On the terminology and geometric aspects of redundant parallel manipulators. Robotica, 2013, 31(1): 137–147.
[28] H Y Wen, W L Xu, M Cong. Kinematic model and analysis of an actuation redundant parallel robot with higher kinematic pairs for jaw movement. IEEE Transactions on Industrial Electronics, 2015, 62(3): 1590–1598.
[29] Z Gao, D Zhang. Performance analysis, mapping, and multi-objective optimization of a hybrid robotic machine tool. IEEE Transactions on Industrial Electronics, 2015, 62(1): 423–433.
[30] T Yoshikawa. Analysis and control of robot manipulators with redundancy//M Brady, R P Paul. Robotics Research: The First International Symposium. Massachusetts: MIT Press Cambridge, 1984: 735–747.
[31] J Ryu, J Cha. Volumetric error analysis and architecture optimization for accuracy of hexaslide type parallel manipulators. Mechanism and Machine Theory, 2003, 38(3): 227–240.
[32] C Gosselin, J Angeles. The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator. Journal of Mechanisms, Transmissions, and Automation in Design, 1989, 111(2): 202–207.
[33] J P Merlet. Jacobian, manipulability, condition number and accuracy of parallel robots. Journal of Mechanical Design, 2006, 128(1): 199–206.
[34] E Schwartz, R Manseur, K Doty. Noncommensurate systems in robotics. International Journal of Robot and Automation, 2002, 17(2): 86–92.
[35] J Angeles. The design of isotropic manipulator architectures in the presence of redundancies. The International Journal of Robotics Research, 1992, 11(3): 196–201.
[36] I Mansouri, M Ouali. The power manipulability-A new homogeneous performance index of robot manipulators. Robotics and Computer-Intergrated Manufacturing, 2011, 27(2): 434–449.
[37] G Legnani, D Tosi, I Fassi, et al. The 'point of isotropy' and other properties of serial and parallel manipulators. Mechanism and Machine Theory, 2010, 45(10): 1407–1423.
[38] H T Liu, T Huang, D G Chetwynd. A method to formulate a dimensionally homogeneous Jacobian of parallel manipulators. IEEE Transactions on Robotics, 2011, 27(1): 150–156.
[39] C Han, J Kim, J Kim, et al. Kinematic sensitivity analysis of the 3-UPU parallel mechanism. Mechanism and Machine Theory, 2002, 37(8): 787–798.
[40] S Briot, I A Bonev. Accuracy analysis of 3-DOF planar parallel robots. Mechanism and Machine Theory, 2008, 43(4): 445–458.
[41] J Meng, D J Zhang, Z X Li. Accuracy analysis of parallel manipulators with joint clearance. Journal of Mechanical Design, 2009, 131(1): 011013.
[42] P Cardou, S Bouchard, C Gosselin. Kinematic-sensitivity indices for dimensionally nonhomogeneous Jacobian matrices. IEEE Transactions on Robotics, 2010, 26(1): 166–173.
[43] H Wang, G L Chen, Y Zhao, et al. Output error bound prediction of parallel manipulators based on the level set method. Mechanism and Machine Theory, 2010, 45(8): 1153–1170.
[44] Q C Li, J M Herve. Type synthesis of 3-DOF RPR-equivalent parallel mechanisms. IEEE Transactions on Robotics, 2014, 30(6): 1333–1343.
[45] Q C Li, L M Xu, Q H Chen, et al. New family of RPR-equivalent parallel mechanisms: Design and application. Chinese Journal of Mechanical Engineering, 2017, 30(2): 217–221.
[46] C Yang, Q C Li, Q H Chen. Multi-objective optimization of parallel manipulators using a game algorithm. Applied Mathematical Modelling, 2019, 74: 217–243.
[47] Z Huang, J F Liu, Y W Li. On the degree of freedom-the general formula of the degree of freedom which has been searched for 150 years. Beijing: Science Press, 2011. (in Chinese)
[48] R M Murray, Z X Li, S S Sastry. A mathematical introduction to robotic manipulation. Florida: Chemical Rubber Company Press, 1994.
[49] S Boyd, L Vandenberghe. Convex optimization. Cambridge: Cambridge University Press, 2004.
[50] Q C Li, N B Zhang, F B Wang. New indices for optimal design of redundantly actuated parallel manipulators. Journal of Mechanisms and Robotics, 2017, 9(1): 011007.
[51] L M Xu, X X Chai, Q C Li, et al. Design and experimental investigation of a new 2R1T overconstrained parallel kinematic machine with actuation redundancy. Journal of Mechanisms and Robotics, 2019, 11(3): 031016.