Time-dependent mechanism reliability analysis with imprecise probability distributions based on envelope function

References

• Au, S. K. 2005. Reliability-based design sensitivity by efficient simulation. Computers & Structures 83 (14):1048–61. doi:10.1016/j.compstruc.2004.11.015.
   Web of Science ®Google Scholar
• Bai, Y. C., C. Jiang, X. Han, and D. A. Hu. 2013. Evidence-theory-based structural static and dynamic response analysis under epistemic uncertainties. Finite Elements in Analysis and Design 68 (6):52–62. doi:10.1016/j.finel.2013.01.007.
   Google Scholar
• Ben-Haim, Y. 1994. A non-probabilistic concept of reliability. Structural Safety 14 (4):227–45. doi:10.1016/0167-4730(94)90013-2.
   Web of Science ®Google Scholar
• Ben-Haim, Y. 1995. A non-probabilistic measure of reliability of linear systems based on expansion of convex models. Structural Safety 17 (2):91–109. doi:10.1016/0167-4730(95)00004-N.
   Web of Science ®Google Scholar
• Cao, S., G. Chen, Y. Peng, H. Lu, and F. Ren. 2020. Uncertainty analysis and time-dependent reliability estimation for the main shaft device of a mine hoist. Mechanics Based Design of Structures and Machines 1–16. doi:10.1080/15397734.2020.1759430.
   Web of Science ®Google Scholar
• Chen, J., and J. Li. 2007. The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters. Structural Safety 29 (2):77–93. doi:10.1016/j.strusafe.2006.02.002.
   Web of Science ®Google Scholar
• Ding, S., C. Su, and J. Yu. 2011. An optimizing BP neural network algorithm based on genetic algorithm. Artificial Intelligence Review 36 (2):153–62. doi:10.1007/s10462-011-9208-z.
   Web of Science ®Google Scholar
• Du, X. 2014. Time-dependent mechanism reliability analysis with envelope functions and first-order approximation. Journal of Mechanical Design 136 (8):081010. doi:10.1115/1.4027636.
   Web of Science ®Google Scholar
• En, X., Y. Zhang, X. Huang, Y. Li, and G. Yang. 2020. Time-varying reliability and global sensitivity analysis of regenerative chatter stability in turning considering tool wear. Mechanics Based Design of Structures and Machines 1–21. doi:10.1080/15397734.2020.1823851.
   Web of Science ®Google Scholar
• Gao, Y., and W. Zhao. 2014. Adaptive optimization with weld fatigue constraints based on surrogate model for railway vehicles. Mechanics Based Design of Structures and Machines 42 (2):244–54. doi:10.1080/15397734.2013.852979.
   Web of Science ®Google Scholar
• Goller, B., H. J. Pradlwarter, and G. I. Schuëller. 2013. Reliability assessment in structural dynamics. Journal of Sound and Vibration 332 (10):2488–99. doi:10.1016/j.jsv.2012.11.021.
   Web of Science ®Google Scholar
• Goswami, S., S. Ghosh, and S. Chakraborty. 2016. Reliability analysis of structures by iterative improved response surface method. Structural Safety 60 :56–66. doi:10.1016/j.strusafe.2016.02.002.
   Web of Science ®Google Scholar
• Guo, J., and X. Du. 2007. Sensitivity analysis with mixture of epistemic and aleatory uncertainties. AIAA Journal 45 (9):2337–49. doi:10.2514/1.28707.
   Web of Science ®Google Scholar
• Helton, J. C., and F. J. Davis. 2002. Illustration of sampling-based methods for uncertainty and sensitivity analysis. Risk Analysis : An Official Publication of the Society for Risk Analysis 22 (3):591–622. doi:10.1111/0272-4332.00041.
   PubMed Web of Science ®Google Scholar
• Hu, Z., and S. Mahadevan. 2016. A single-loop kriging surrogate modeling for time-dependent reliability analysis. Journal of Mechanical Design 138 (6):061406. doi:10.1115/1.4033428.
   Web of Science ®Google Scholar
• Huang, X., and Y. Zhang. 2010. Reliability sensitivity analysis for Rack-and-Pinion steering linkages. Journal of Mechanical Design 132 (7):071012. doi:10.1115/1.4001901.
   Web of Science ®Google Scholar
• Jiang, C., W. X. Li, X. Han, L. X. Liu, and P. H. Le. 2011. Structural reliability analysis based on random distributions with interval parameters. Computers & Structures 89 (23–24):2292–302. doi:10.1016/j.compstruc.2011.08.006.
   Web of Science ®Google Scholar
• Jiang, C., X. P. Wei, Z. L. Huang, and J. Liu. 2017. An outcrossing rate model and its efficient calculation for time-dependent system reliability analysis. Journal of Mechanical Design 139 (4):041402. doi:10.1115/1.4035792.
   Web of Science ®Google Scholar
• Li, G., Z. Lu, L. Tian, and J. Xu. 2013. The importance measure on the non-probabilistic reliability index of uncertain structures. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 227 (6):651–61. doi:10.1177/1748006X13489069.
   Web of Science ®Google Scholar
• Rice, O. S. 1944. Mathematical analysis of random noise. Bell System Technical Journal 23 (3):282–332. doi:10.1002/j.1538-7305.1944.tb00874.x.
   Google Scholar
• Saltelli, A., P. Annoni, I. Azzini, F. Campolongo, M. Ratto, and S. Tarantola. 2010. Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index. Computer Physics Communications 181 (2):259–70. doi:10.1016/j.cpc.2009.09.018.
   Web of Science ®Google Scholar
• Schrupp, K., and R. Rackwitz. 1988. Outcrossing rates of marked poisson cluster processes in structural reliability. Applied Mathematical Modelling 12 (5):482–90. doi:10.1016/0307-904X(88)90085-6.
   Web of Science ®Google Scholar
• Sobol, I. M. 2001. Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Mathematics & Computers in Simulation 55 (1–3):271–80. doi:10.1016/S0378-4754(00)00270-6.
   Web of Science ®Google Scholar
• Sudret, B. 2008. Analytical derivation of the outcrossing rate in time-variant reliability problems. Structure and Infrastructure Engineering 4 (5):353–62. doi:10.1080/15732470701270058.
   Web of Science ®Google Scholar
• Van Noortwijk, J. M., J. A. M. Van der Weide, M. J. Kallen, and M. D. Pandey. 2007. Gamma processes and peaks-over-threshold distributions for time-dependent reliability. Reliability Engineering & System Safety 92 (12):1651–8. doi:10.1016/j.ress.2006.11.003.
   Web of Science ®Google Scholar
• Wang, X., I. Elishakoff, Z. Qiu, and C. Kou. 2011. Non-probabilistic methods for natural frequency and buckling load of composite plate based on the experimental data. Mechanics Based Design of Structures and Machines 39 (1):83–99. doi:10.1080/15397734.2011.537246.
   Web of Science ®Google Scholar
• Wang, W., H. Gao, C. Zhou, and Z. Zhang. 2018. Reliability analysis of motion mechanism under three types of hybrid uncertainties. Mechanism and Machine Theory 121 :769–84. doi:10.1016/j.mechmachtheory.2017.12.010.
   Web of Science ®Google Scholar
• Wang, P., Z. Lu, and L. Cheng. 2013. Importance measures for imprecise probability distributions and their sparse grid solutions. Science China Technological Sciences 56 (7):1733–9. doi:10.1007/s11431-013-5247-9.
   Web of Science ®Google Scholar
• Wang, Z., Z. P. Mourelatos, J. Li, I. Baseski, and A. Singh. 2014. Time-dependent reliability of dynamic systems using subset simulation with splitting over a series of correlated time intervals. Journal of Mechanical Design 136 (6):061008. doi:10.1115/1.4027162.
   Web of Science ®Google Scholar
• Wang, Z., and P. Wang. 2013. A new approach for reliability analysis with time-variant performance characteristics. Reliability Engineering & System Safety 115 (7):70–81. doi:10.1016/j.ress.2013.02.017.
   Google Scholar
• Wei, P., J. Song, Z. Lu, and Z. Yue. 2016. Time-dependent reliability sensitivity analysis of motion mechanisms. Reliability Engineering & System Safety 149 (May):107–20. doi:10.1016/j.ress.2015.12.019.
   Google Scholar
• Wei, Z., T. Tao, D. ZhuoShu, and E. Zio. 2013. A dynamic particle filter-support vector regression method for reliability prediction. Reliability Engineering & System Safety 119 (11):109–16. doi:10.1016/j.ress.2013.05.021.
   Google Scholar
• Wei, P., Y. Wang, and C. Tang. 2017. Time-variant global reliability sensitivity analysis of structures with both input random variables and stochastic processes. Structural and Multidisciplinary Optimization 55 (5):1883–98. doi:10.1007/s00158-016-1598-8.
   Web of Science ®Google Scholar
• Zhang, J., and X. Du. 2015. Time-dependent reliability analysis for function generation mechanisms with random joint clearances. Mechanism and Machine Theory 92 :184–99. doi:10.1016/j.mechmachtheory.2015.04.020.
   Web of Science ®Google Scholar
• Zhou, C., C. Tang, F. Liu, W. Wang, and Z. Yue. 2017. Regional moment-independent sensitivity analysis with its applications in engineering. Chinese Journal of Aeronautics 30 (3):1031–192. doi:10.1016/j.cja.2017.04.006.
   Web of Science ®Google Scholar
• Zhu, H., Z. Xuan, and L. Hai. 2016. A novel tolerance analysis for mechanical assemblies based on Convex Method and non-probabilistic set theory. The International Journal of Advanced Manufacturing Technology 83 (9–12):1649–57. doi:10.1007/s00170-015-7634-9.
   Web of Science ®Google Scholar