Kinematic Reliability Analysis of 3-PSS manipulator based on the explicit solution and design of experiment method

[1] K.S. Fu, R.C. Gonzalez, C.S.G. Lee, Robotics : control, sensing, vision, and intelligence, McGraw-Hill, New York, 1987.

[2] H. Taghirad, Parallel robots : mechanics and control, Taylor and Francis, Boca Raton, 2013.

[3] M.W. Spong, S. Hutchinson, M. Vidyasagar, Robot modeling and control, John Wiley and Sons, Hoboken, NJ, 2006.

[4] J.J. Craig, Introduction to Robotics ,Mechanics and Control, 3rd ed., Pearson/Prentice Hall, Upper Saddle River, N.J., 2005.

[5] J.P. Merlet, Parallel robots, 2nd ed., Kluwer Academic Publishers, Dordrecht ; Boston, MA, 2006.

[6] Y. Li, Q. Xu, Stiffness analysis for a 3-PUU parallel kinematic machine, Mechanism and Machine Theory, 43 (2008) 186-200.

[7] G. Cui, H. Zhang, D. Zhang, F. Xu, Analysis of the Kinematic Accuracy Reliability of a 3-DOF Parallel Robot Manipulator, International Journal of Advanced Robotic Systems, 12(2) (2015) 15.

[8] M. Isaksson, K. Marlow, A. Maciejewski, A. Eriksson, Novel Fault-Tolerance Indices for Redundantly Actuated Parallel Robots, Journal of Mechanical Design, 139(4) (2017).

[9] b. Jiao Moa, Zhu-Feng Shaoa, Dynamic performance analysis of the X4 high-speed pick-and-place parallel robot, Robotics and Computer–Integrated Manufacturing, 46 (2017) 48-57.

[10] S. Briot, I.A. Bonev, Accuracy analysis of 3T1R fully-parallel robots, Mechanism and Machine Theory, 45 (2009) 695-706.

[11] T. Li, P. Ye, The Measurement of Kinematic Accuracy for Various Configurations of parallel Manipulators, IEEE,  (2003).

[12] W. Li, J. Angeles, Full-mobility 3-CCC parallel-kinematics machines: Forward kinematics, singularity, workspace and dexterity analyses, Mechanism and Machine Theory, 126 (2018) 312-328.

[13] Y. Cai, B. Zhang, Y. Yao, Kinematics accuracy and reliability analysis for 3PTT-2R series-parallel mechanism, 2014 Prognostics and System Health Management Conference (PHM-2014 Hunan),  (2014) 499-503.

[14] S. Lu, Y. Li, Kinematic analysis and performance evaluation of the 3-PUU parallel module of a 3D printing manipulator, in:  2014 13th International Conference on Control Automation Robotics & Vision (ICARCV), 2014, pp. 1847-1852.

[15] Wang Liping, Xu Huayang, Guan Liwen, Zhi Yu, A novel 3-PUU parallel mechanism and its kinematic issues, Robotics and Computer-Integrated Manufacturing, 42 (2016) 86-102.

[16] Y. Jiang, T. Li, L. Wang, F. Chen, Kinematic error modeling and identification of the over-constrained parallel kinematic machine, Robotics and Computer-Integrated Manufacturing,, 49 (2018) 105-119.

[17] L. Kong, G. Chen, Z. Zhang, H. Wang, Kinematic calibration and investigation of the influence of universal joint errors on accuracy improvement for a 3-DOF parallel manipulator, Robotics and Computer-Integrated Manufacturing, 49 (2018) 388-397.

[18] P.K. Bhatti, S.S. Rao, Reliability Analysis of Robot Manipulators, Journal of Mechanical Design, 110(2) (1988) 175-181.

[19] T.S. LIU, J.D. WANG, A Reliability approach to evaluating robot accuracy performance, Mechanism and Machine Theory, 29(1) (1993) 83-94.

[20] S. Zhongxiu, Reliability analysis and synthesis of robot manipulators, in:  Proceedings of Annual Reliability and Maintainability Symposium (RAMS), 1994, pp. 201-205.

[21] C. Carrerasa, I.D. Walker, On interval methods applied to robot reliability quantification, Reliability Engineering and System Safety, 70 (2000) 291-303.

[22] D. Pan, F. Gao, X. Huang, Y. Miao, Kinematic accuracy reliability research of a novel exoskeleton with series-parallel topology, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 228(10) (2014) 1767-1776.

[23] F.G. Jianxun Fu, and et al., Kinematic accuracy research of a novel six-degree-of-freedom parallel robot with three legs, Mechanism and Machine Theory, 102 (2016) 86-102.

[24] D. Xu, Kinematic reliability and sensitivity analysis of the modified Delta parallel mechanism, International Journal of Advanced Robotic Systems, 15(1) (2018) 1729881418759106.

[25] R.L. Williams, The Delta Parallel Robot: Kinematics Solutions Mechanical Engineering, Ohio University,  (2016).

[26] W. Wu, S.S. Rao, Uncertainty analysis and allocation of joint tolerances in robot manipulators based on interval analysis, Reliability Engineering and System Safety, 92 (2005) 54-64.

[27] M.-Y. Moon, K.K. Choi, H. Cho, N. Gaul, D. Lamb, D. Gorsich, Reliability-Based Design Optimization Using Confidence-Based Model Validation for Insufficient Experimental Data, Journal of Mechanical Design, 139(3) (2017) 031404-031404-031410.

[28] X.Z. Mahesh D. Pandey, System reliability analysis of the robotic manipulator with random joint clearances, Mechanism and Machine Theory, 58 (2012) 137-152.

[29] Q. Meng, F. Xie, X.-J. Liu, Conceptual design and kinematic analysis of a novel parallel robot for high-speed pick-and-place operations, Frontiers of Mechanical Engineering, 13(2) (2018) 211-224.

[30] R. Billinton, R.N. Allan, Reliability evaluation of engineering systems : concepts and techniques, 2nd ed., Plenum Press, New York, 1992.

[31] B.S. Dhillon, Robot reliability and safety, Springer-Verlag, New York, 1991.

[32] D.C. Montgomery, Design and analysis of experiments, 7th ed., Wiley, Hoboken, NJ, 2008.

[33] X.Z. G.J. Savage, Reliability of mechanisms with periodic random modal frequencies using an extreme value-based approach, Reliability Engineering and System Safety, 150 (2016) 65-77.

[34] E.B. Haugen, Probabilistic Mechanical Design, Wiley, 1980.

[35] R.D. De Veaux, P.F. Velleman, D.E. Bock, G. Vukov, A. Wong, Stats: Data and Models, Pearson Education Canada, 2011.

[36] R.S. Figliola, D.E. Beasley, Theory and design for mechanical measurements, Sixth edition. ed., John Wiley and Sons, Hoboken, 2015.

[37] F.E. Fisher, J.R. Fisher, Probability applications in mechanical design, Marcel Dekker, New York, 2000.

[38] B.S. Dhillon, Maintainability, maintenance, and reliability for engineers, CRC Taylor and Francis, Boca Raton, 2006.

[39] P.J. Drake, Dimensioning and tolerancing handbook, McGraw Hill, New York, 1999.

[40] S.-K. Choi, R.V. Grandhi, R.A. Canfield, Reliability-based structural design, Springer, London, 2007.

[41] MOONS.co, Nema 23 catalog, in:  23HS SERIES 1.8°, 2016, pp. 62-64.

[42] L. Kong, G. Chen, Z. Zhang, H. Wang, Kinematic calibration and investigation of the influence of universal joint errors on accuracy improvement for a 3-DOF parallel manipulator, Robotics and Computer–Integrated Manufacturing, 49 (2018) 388–397.

[43] L.J.M. Aslett, T. Nagapetyan, S.J. Vollmer, Multilevel Monte Carlo for Reliability Theory, Reliability Engineering and System Safety, 165 (2017) 188-196.

[44] N.R. Mann, R.E. Schafer, N.D. Singpurwalla, Methods of Statistical Analysis of Reliability and Life Data, John Wiley and Sons, New York, 1974.

[45] W. Weibull, A statistical distribution function of wide applicability, Applied Mechanics, 18 (1951) 293-297.

[46] G. Palmieri, M.C. Palpacelli, L. Carbonari, M. Callegari, Vision-based kinematic calibration of a small-scale spherical parallel kinematic machine, Robotics and Computer-Integrated Manufacturing, 49 (2018) 162-169.

[47] Minitab_Blog_Editor, Regression Analysis: How Do I Interpret R-squared and Assess the Goodness-of-Fit?, 30 May, 2013 ed., minitab.com, Minitab.co, 19 June, 2018.

[48] K.K. Pochampally, S.M. Gupta, Reliability analysis with Minitab, CRC Press, Taylor and Francis Group, CRC Press is an imprint of the Taylor and Francis Group, an informa business, Boca Raton, 2016.

[49] A. Karamoozian, C.A. Tan, L. Wang, M.R. Akbarzadeh, G. Chen, Sensitivity analysis of the equal angle divider mechanism kinematics with the synthesis of the joint gap tolerances, Mechanics Based Design of Structures and Machines, 46(4) (2018) 499-519.

[50] J. Santolaria, M. Ginés, Uncertainty estimation in robot kinematic calibration, Robotics and Computer-Integrated Manufacturing, 29(2) (2013) 370-384.