Time-dependent system kinematic reliability analysis for planar parallel manipulators

Mechanism and Machine Theory - Tập 152 - Trang 103939 - 2020
Qiangqiang Zhao1, Junkang Guo1, Jun Hong1
1Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, School of Mechanical Engineering, Xi'an Jiaotong University, Xianning West Road, Xi'an 710049, China

Tài liệu tham khảo

Briot, 2007, Are parallel robots more accurate than serial robots?, Trans. Can. Soc. Mech. Eng., 31, 445, 10.1139/tcsme-2007-0032 Zhao, 2019, Closed-form error space calculation for parallel/hybrid manipulators considering joint clearance, input uncertainty, and manufacturing imperfection, Mech. Mach. Theory, 142, 10.1016/j.mechmachtheory.2019.103608 Zhan, 2019, Unified motion reliability analysis and comparison study of planar parallel manipulators with interval joint clearance variables, Mech. Mach. Theory, 138, 58, 10.1016/j.mechmachtheory.2019.03.041 Zhao, 2014 Wang, 2011, Hybrid dimension reduction for mechanism reliability analysis with random joint clearances, Mech. Mach. Theory, 46, 1396, 10.1016/j.mechmachtheory.2011.05.008 Du, 2014, Time-dependent mechanism reliability analysis with envelope functions and first-order approximation, J. Mech. Des., 136, 10.1115/1.4027636 Choi, 2006, 1568 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 Hu, 2012, Reliability analysis for hydrokinetic turbine blades, Renew. Energy, 48, 251, 10.1016/j.renene.2012.05.002 Wang, 2019, A moment-matching based method for the analysis of manipulator's repeatability of positioning with arbitrarily distributed joint clearances, Eksploatacja I Niezawodnosc, 21, 10, 10.17531/ein.2019.1.2 Rao, 2001, Probabilistic approach to manipulator kinematics and dynamics, Reliabil. Eng. Syst. Saf., 72, 47, 10.1016/S0951-8320(00)00106-X Wang, 2018, Time-dependent reliability based design for control of servo linkages with unknown but bounded uncertainties, Mech. Mach. Theory, 119, 219, 10.1016/j.mechmachtheory.2017.09.008 Wang, 2019, Time-dependent mechanism reliability analysis based on envelope function and vine-copula function, Mech. Mach. Theory, 134, 667, 10.1016/j.mechmachtheory.2019.01.008 Zhang, 2011, Time-dependent probabilistic synthesis for function generator mechanisms, Mech. Mach. Theory, 46, 1236, 10.1016/j.mechmachtheory.2011.04.008 Sudret, 2008, Analytical derivation of the outcrossing rate in time-variant reliability problems, Struct. Infrastruct. Eng., 4, 353, 10.1080/15732470701270058 Li, 2015, A generalized Subset Simulation approach for estimating small failure probabilities of multiple stochastic responses, Comput. Struct., 153, 239, 10.1016/j.compstruc.2014.10.014 Hu, 2013, A sampling approach to extreme value distribution for time-dependent reliability analysis, J. Mech. Des., 135, 10.1115/1.4023925 Wang, 2012, A nested extreme response surface approach for time-dependent reliability-based design optimization, J. Mech. Des., 134, 10.1115/1.4007931 Ling, 2019, Adaptive Kriging coupled with importance sampling strategies for time-variant hybrid reliability analysis, Appl. Math. Modell. Pan, 2017, An efficient reliability method combining adaptive support vector machine and Monte Carlo simulation, Struct. Saf., 67, 85, 10.1016/j.strusafe.2017.04.006 Singh, 2011, Time-dependent reliability of random dynamic systems using time-series modeling and importance sampling, SAE Int. J. Mater. Manuf., 4, 929, 10.4271/2011-01-0728 Wang, 2014, Time-dependent reliability of dynamic systems using subset simulation with splitting over a series of correlated time intervals, J. Mech. Des., 136, 10.1115/1.4027162 Chen, 2007, The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters, Struct. Saf., 29, 77, 10.1016/j.strusafe.2006.02.002 Li, 2007, The equivalent extreme-value event and evaluation of the structural system reliability, Struct. Saf., 29, 112, 10.1016/j.strusafe.2006.03.002 Ping, 2019, A time-variant extreme-value event evolution method for time-variant reliability analysis, Mech. Syst. Signal Process., 130, 333, 10.1016/j.ymssp.2019.05.009 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 Wu, 2016, Incremental modeling of a new high-order polynomial surrogate model, Appl. Math. Modell., 40, 4681, 10.1016/j.apm.2015.12.002 Shi, 2019, An adaptive multiple-Kriging-surrogate method for time-dependent reliability analysis, Appl. Math. Modell., 70, 545, 10.1016/j.apm.2019.01.040 Wang, 2018, An effective approach for kinematic reliability analysis of steering mechanisms, Reliabil. Eng. Syst. Saf., 180, 62, 10.1016/j.ress.2018.07.009 L.D. Lutes, S. Sarkani, Reliability analysis of systems subject to first-passage failure, (2009). Hu, 2013, Time-dependent reliability analysis with joint upcrossing rates, Struct. Multidiscip. Optim., 48, 893, 10.1007/s00158-013-0937-2 Rice, 1944, Mathematical analysis of random noise, Bell Syst. Techn. J., 23, 282, 10.1002/j.1538-7305.1944.tb00874.x Hu, 2015, First order reliability method for time-variant problems using series expansions, Struct. Multidiscip. Optim., 51, 1, 10.1007/s00158-014-1132-9 Rackwitz, 1978, Structural reliability under combined random load sequences, Comput. Struct., 9, 489, 10.1016/0045-7949(78)90046-9 Rackwitz, 2001, Reliability analysis—a review and some perspectives, Struct. Saf., 23, 365, 10.1016/S0167-4730(02)00009-7 Zhang, 2011, Time-dependent reliability analysis for function generator mechanisms, J. Mech. Des., 133, 10.1115/1.4003539 Zhang, 2015, Time-dependent reliability analysis for function generation mechanisms with random joint clearances, Mech. Mach. Theory, 92, 184, 10.1016/j.mechmachtheory.2015.04.020 Singh, 2011, An importance sampling approach for time-dependent reliability, 1077 Madsen, 1984, An integral equation method for the first-passage problem in random vibration, J. Appl. Mech., 51, 674, 10.1115/1.3167691 Jiang, 2017, An outcrossing rate model and its efficient calculation for time-dependent system reliability analysis, J. Mech. Des., 139, 10.1115/1.4035792 Hu, 2018, Time-dependent system reliability analysis for bivariate responses, ASCE-ASME J. Risk Uncertain. Eng. Syst. Part B, 4 Hagen, 1991, Vector process out-crossing as parallel system sensitivity measure, J. Eng. Mech., 117, 2201, 10.1061/(ASCE)0733-9399(1991)117:10(2201) Geng, 2016, Non-probabilistic time-dependent kinematic reliability assessment for function generation mechanisms with joint clearances, Mech. Mach. Theory, 104, 202, 10.1016/j.mechmachtheory.2016.05.013 Li, 2019, Motion reliability analysis of the delta parallel robot considering mechanism errors, Math. Problems Eng. Cui, 2015, Analysis of the kinematic accuracy reliability of a 3-DOF parallel robot manipulator, Int. J. Adv. Robot. Syst., 12, 15, 10.5772/60056 Chirikjian, 2016 Wang, 2008, Nonparametric second-order theory of error propagation on motion groups, Int. J. Robot. Res., 27, 1258, 10.1177/0278364908097583 Chirikjian, 2009 Hohenbichler, 1982, First-order concepts in system reliability, Struct. Saf., 1, 177, 10.1016/0167-4730(82)90024-8 Johnson, 2002 J.P. Cunningham, P. Hennig, S. Lacoste-Julien, Gaussian probabilities and expectation propagation, arXiv preprint arXiv:1111.6832, (2011). Minka, 2005, Divergence measures and message passing, Technical report, Microsoft Res.