Positioning accuracy reliability analysis of industrial robots based on differential kinematics and saddlepoint approximation

Mechanism and Machine Theory - Tập 162 - Trang 104367 - 2021
Peng Huang1,2, Hong-Zhong Huang1,2, Yan-Feng Li1,2, He Li1,2
1School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, China
2Center for System Reliability and Safety, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China

Tài liệu tham khảo

Nof, 1999 Tian, 2014, A general approach for error modeling of machine tools, Int. J. Mach. Tools Manuf., 79, 17, 10.1016/j.ijmachtools.2014.01.003 Tian, 2020, A systematic approach for accuracy design of lower-mobility parallel mechanism, Robotica, 38, 2173, 10.1017/S0263574720000028 Chen, 2001, Local POE model for robot kinematic calibration, Mech. Mach. Theory, 36, 1215, 10.1016/S0094-114X(01)00048-9 Tian, 2016, Kinematic calibration of a 3-DOF spindle head using a double ball bar, Mech. Mach. Theory, 102, 167, 10.1016/j.mechmachtheory.2016.04.008 Huang, 2019, Kinematic calibration of a 6-DOF hybrid robot by considering multicollinearity in the identification Jacobian, Mech. Mach. Theory, 131, 371, 10.1016/j.mechmachtheory.2018.10.008 Yin, 2020, A screw theory based approach to determining the identifiable parameters for calibration of parallel manipulators, Mech. Mach. Theory, 145, 10.1016/j.mechmachtheory.2019.103665 Zhu, 2000, Uncertainty analysis of planar and spatial robots with joint clearances, Mech. Mach. Theory, 35, 1239, 10.1016/S0094-114X(99)00076-2 Santolaria, 2013, Uncertainty estimation in robot kinematic calibration, Rob. Comput. Integr. Manuf., 29, 370, 10.1016/j.rcim.2012.09.007 Mi, 2018, Reliability analysis of complex multi-state system with common cause failure based on evidential networks, Reliab. Eng. Syst. Saf., 174, 71, 10.1016/j.ress.2018.02.021 Li, 2019, Reliability analysis of multi-state systems with common cause failures based on Bayesian network and fuzzy probability, Ann. Oper. Res. Li, 2018, Physics of failure-based reliability prediction of turbine blades using multi-source information fusion, Appl. Soft Comput., 72, 624, 10.1016/j.asoc.2018.05.015 Li, 2020, Reliability analysis of a floating offshore wind turbine using Bayesian Networks, Ocean Eng., 217, 10.1016/j.oceaneng.2020.107827 Mi, 2020, Reliability and importance analysis of uncertain system with common cause failures based on survival signature, Reliab. Eng. Syst. Saf., 201, 10.1016/j.ress.2020.106988 Li, 2020, Reliability assessment for systems suffering common cause failure based on Bayesian networks and proportional hazards model, Qual. Reliab. Eng. Int., 36, 2509, 10.1002/qre.2713 Rao, 2001, Probabilistic approach to manipulator kinematics and dynamics, Reliab. Eng. Syst. Saf., 72, 47, 10.1016/S0951-8320(00)00106-X Kim, 2010, Stochastic approach to kinematic reliability of open-loop mechanism with dimensional tolerance, Appl. Math. Modell., 34, 1225, 10.1016/j.apm.2009.08.009 Pandey, 2012, System reliability analysis of the robotic manipulator with random joint clearances, Mech. Mach. Theory, 58, 137, 10.1016/j.mechmachtheory.2012.08.009 Zhan, 2018, Error modelling and motion reliability analysis of a planar parallel manipulator with multiple uncertainties, Mech. Mach. Theory, 124, 55, 10.1016/j.mechmachtheory.2018.02.005 Zhang, 2019, Kinematic reliability analysis of robotic manipulator, J. Mech. Des., 142, 10.1115/1.4044436 Wu, 2019, A moment approach to positioning accuracy reliability analysis for industrial robots, IEEE Trans. Reliab., 69, 699, 10.1109/TR.2019.2919540 Wu, 2020, A computational framework of kinematic accuracy reliability analysis for industrial robots, Appl. Math. Modell., 82, 189, 10.1016/j.apm.2020.01.005 Wang, 2018, An effective approach for kinematic reliability analysis of steering mechanisms, Reliab. Eng. Syst. Saf., 180, 62, 10.1016/j.ress.2018.07.009 Zhao, 2020, Time-dependent system kinematic reliability analysis for planar parallel manipulators, Mech. Mach. Theory, 10.1016/j.mechmachtheory.2020.103939 Zhao, 2021, An enhanced moment-based approach to time-dependent positional reliability analysis for robotic manipulators, Mech. Mach. Theory, 156, 10.1016/j.mechmachtheory.2020.104167 Zhang, 2020, AKOIS: an adaptive Kriging oriented importance sampling method for structural system reliability analysis, Struct. Saf., 82, 10.1016/j.strusafe.2019.101876 Wang, 2019, Hamiltonian Monte Carlo methods for subset simulation in reliability analysis, Struct. Saf., 76, 51, 10.1016/j.strusafe.2018.05.005 Huang, 2019, A novel algorithm for structural reliability analysis based on finite step length and Armijo line search, Appl. Sci., 9, 10.3390/app9122546 Huang, 2021, An efficient and robust structural reliability analysis method with mixed variables based on hybrid conjugate gradient direction, Int. J. Numer. Methods Eng., 122, 1990, 10.1002/nme.6609 Yang, 2020, New efficient and robust method for structural reliability analysis and its application in reliability-based design optimization, Comput. Meth. Appl. Mech. Eng., 366, 10.1016/j.cma.2020.113018 Zhang, 2020, Hybrid learning algorithm of radial basis function networks for reliability analysis, IEEE Trans. Reliab., DOI Hartenberg, 1955, A kinematic notation for lower pair mechanisms based on matrices, J. Appl. Mech., 77, 215 Hayati, 1985, Improving the absolute positioning accuracy of robot manipulators, J. Robot. Syst., 2, 397, 10.1002/rob.4620020406 Chen, 1987, Positioning error analysis for robot manipulators with all rotary joints, IEEE J. Robot. Autom., 3, 539, 10.1109/JRA.1987.1087144 Huang, 2020, A framework for structural reliability analysis based on conjugate sensitivity factor and saddlepoint approximation, J. Mech. Sci. Technol., 34, 3617, 10.1007/s12206-020-0814-z Huang, 2018, A new direct second-order reliability analysis method, Appl. Math. Modell., 55, 68, 10.1016/j.apm.2017.10.026 Lugannani, 1980, Saddlepoint approximation for the distribution of the sum of independent random variables, Adv. Appl. Probab., 12, 475, 10.2307/1426607 Du, 2004, First order saddlepoint approximation for reliability analysis, AIAA J., 42, 1199, 10.2514/1.3877