| Citation: | GONG Xiangrui, LYU Zhenzhou, SUN Tianyu, et al. A new moment-independent importance measure analysis method and its efficient algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(2): 283-290. doi: 10.13700/j.bh.1001-5965.2018.0130(in Chinese)
|
In order to analyze the effect of input random variables on the failure probability of structural systems more reasonably, a new moment-independent importance measure analysis method is proposed in this paper. The traditional importance measure index can only estimate the influence of input random variables on the output response of structural systems at fixed points, while the new index proposed in this paper can fully reflect the average influence of input random variables on the output response of structural systems when they change in all reduced intervals of their distribution areas, which is more in line with engineering practice. Seeking to find the new index, this paper presents two algorithms:the conventional double-loop-repeated-set Monte Carlo (DLRS MC) method and adaptive radial-based importance sampling (ARBIS) method. The results of DLRS MC method can be used as a reference solution, yet its calculation process is slow and strenuous. Under the condition of the precision of solving the new index is met, the calculation efficiency of ARBIS method is greatly improved. Finally, a numerical example and an engineering example are given to illustrate the significance of the new index and the efficiency of the proposed algorithm.
| [1] |
CASTILLO E, MINGUEZ R, CASTILLO C.Sensitivity analysis in optimization and reliability problems[J].Reliability Engineering & System Safety, 2008, 93(12):1788-1800.
|
| [2] |
WEI P, LV Z, HAO W, et al.Efficient sampling methods for global reliability sensitivity analysis[J].Computer Physics Communications, 2012, 183(8):1728-1743. doi: 10.1016/j.cpc.2012.03.014
|
| [3] |
SALTELLI A.Sensitivity analysis for importance assessment[J].Risk Analysis, 2002, 22(3):579-590.
|
| [4] |
BJERAGER P, KRENK S.Parametric sensitivity in first order reliability theory[J].Journal of Engineering Mechanics, 1989, 115(7):1577-1582. doi: 10.1061/(ASCE)0733-9399(1989)115:7(1577)
|
| [5] |
CAMPOLONGO F, SALTELLI A.Sensitivity analysis of an environmental model:An application of different analysis methods[J].Reliability Engineering & System Safety, 1997, 57(1):49-69.
|
| [6] |
SALTELLI A, RATTO M, TARANTOLA S, et al.Sensitivity analysis for chemical models[J].Chemical Reviews, 2005, 105(7):2811-2828. doi: 10.1021/cr040659d
|
| [7] |
BORGONOVO E, TARANTOLA S.Moment independent and variance-based sensitivity analysis with correlations:An application to the stability of a chemical reactor[J].International Journal of Chemical Kinetics, 2008, 40(11):687-698. doi: 10.1002/kin.v40:11
|
| [8] |
VAN GRIENSVEN A, MEIXNER T, GRUNWALD S, et al.A global sensitivity analysis tool for the parameters of multi-variable catchment models[J].Journal of Hydrology, 2006, 324(1):10-23.
|
| [9] |
SALTELLI A, MARIVOET J.Non-parametric statistics in sensitivity analysis for model output:A comparison of selected techniques[J].Reliability Engineering & System Safety, 1990, 28(2):229-253.
|
| [10] |
HELTON J C.Uncertainty and sensitivity analysis techniques for use in performance assessment for radioactive waste disposal[J].Reliability Engineering & System Safety, 1993, 42(2):327-367.
|
| [11] |
SOBOL I M.Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates[J].Mathematics and Computers in Simulation, 2001, 55(1):271-280.
|
| [12] |
IMAN R L, HORA S C.A robust measure of uncertainty importance for use in fault tree system analysis[J].Risk Analysis, 1990, 10(3):401-406. doi: 10.1111/j.1539-6924.1990.tb00523.x/full
|
| [13] |
HELTON J C, DAVIS F J.Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems[J].Reliability Engineering & System Safety, 2003, 81(1):23-69.
|
| [14] |
BORGONOVO E.A new uncertainty importance measure[J].Reliability Engineering & System Safety, 2007, 92(6):771-784.
|
| [15] |
LIU H, CHEN W, SUDJIANTO A.Relative entropy based method for probabilistic sensitivity analysis in engineering design[J].Journal of Mechanical Design, 2006, 128(2):326-336.
|
| [16] |
LI L Y, LU Z Z, FENG J, et al.Moment-independent importance measure of basic variable and its state dependent parameter solution[J].Structural Safety, 2012, 38:40-47. doi: 10.1016/j.strusafe.2012.04.001
|
| [17] |
WEI P, LU Z, SONG J.A new variance-based global sensitivity analysis technique[J].Computer Physics Communications, 2013, 184(11):2540-2551. doi: 10.1016/j.cpc.2013.07.006
|
| [18] |
GROOTEMAN F.Adaptive radial-based importance sampling method for structural reliability[J].Structural Safety, 2008, 30(6):533-542. doi: 10.1016/j.strusafe.2007.10.002
|
| [19] |
AU S K, BECK J L.A new adaptive importance sampling scheme for reliability calculations[J].Structural Safety, 1999, 21(2):135-158. doi: 10.1016/S0167-4730(99)00014-4
|
| [20] |
ROSENBLATT M.Remarks on a multivariate transformation[J].The Annals of Mathematical Statistics, 1952, 23(3):470-472. doi: 10.1214-aoms-1177729394/
|
| [21] |
DER KIUREGHIAN A, LIU P L.Structural reliability under incomplete probability information[J].Journal of Engineering Mechanics, 1986, 112(1):85-104.
|
| [22] |
吕震宙.结构机构可靠性及可靠性灵敏度分析[M].北京:科学出版社, 2009:160-178.
LV Z Z.Reliability and reliability sensitivity analysis of structural mechanism[M].Beijing:Science Press, 2009:160-178(in Chinese).
|
| [23] |
CAI Z Y.Precision design of roll-forging die and its application in the forming of automobile front axles[J].Journal of Materials Processing Technology, 2005, 168(1):95-101.
|
| [1] | YANG Yong, LIU Jiaxiang, HUANG Shuying, WANG Xiaozheng, XIA Yukun. Multistage fuzzy discrimination and adaptive parameter fusion strategy for infrared and visible light image fusion[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0383 |
| [2] | QI L，YANG S，XIE Z Z，et al. Evaluation method for roughness of airport runway based on joint time-frequency analysis[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（4）：1110-1116 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0459. |
| [3] | LI Liang, CHENG Li, LI Ruijie, SHI Xiuyun, WEI Yilin. Fault exclusion method based on maximum a posteriori probability for multi-constellation ARAIM[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0414 |
| [4] | NA Qiang, XIANG Peng, ZHENG Huaizhou, ZHOU Shun, HE Hongye. Similarity Analysis of Pre-Launch Data for Aerospace Rocket Testing Based on Adaptive DTW Algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0524 |
| [5] | SONG Yuan, HUANG Zhi-gang, LI Rui, WANG Yue-chen, SHEN Jun, WANG Yong-chao, NIE Xin. An RTK integrity evaluation method based on risk probability decomposition[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024-0134 |
| [6] | JIANG Y F，XU X Z，XU F Q，et al. Multi-strategy fusion improved adaptive mayfly algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（4）：1416-1426 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0492. |
| [7] | ZHAO Jianyin, JIANG Jingwei, SUN Yuan, WEI Shuntao. Storage reliability assessment based on multivariate degradation failure and sudden failure Competition[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0601 |
| [8] | DUAN J Z，WANG C J. Sensitivity encoding reconstruction algorithm based on multi-category dictionary learning[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（7）：2123-2132 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0571. |
| [9] | WAN Hongfa, LI Shanshan, LI Xinxing, TAN Xuli, PEI Xianyong. Analysis of observable degree of gravity aided inertial navigation[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0308 |
| [10] | LI Xing, LI Zeng-shan, DENG Fan-chen, NIE Lei, ZHANG Tian. Sub-model Based Failure Analysis of Composite Hybrid Joint Structure[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0555 |
| [11] | WU X C，HONG L. Importance evaluation of JTC compensation capacitor based on reliability truth table[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（10）：2579-2586 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0767. |
| [12] | ZHAO Zhen-wu, XING Xiao-xiao, GENG Shuo. Research on Resilience Measurement and Optimization Strategy of Air Cargo Secure Supply Chain[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0499 |
| [13] | XIN T D，CUI C Y，LIU Y，et al. Non-probabilistic reliability analysis method for propellent tank with crack defect[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（9）：2330-2336 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0651. |
| [14] | XIA Y X，FANG Z G. Degradation-shock competing failure modeling considering randomness of failure threshold[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（8）：2079-2088 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0576. |
| [15] | CHEN R H，LUO J，HU A Y，et al. Uniform circular multiphase modulation correlation radiometer and its sensitivity analysis[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（7）：1857-1863 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0560. |
| [16] | ZHU Qi-tao, LI Hong-shuang. A mixed reliability analysis method based on direct probability integral[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0498 |
| [17] | CHANG Z M，LI L Y. Double-loop surrogate model for time-dependent reliability analysis based on NARX and Kriging models[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（7）：1802-1812 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0541. |
| [18] | XIONG Junyao, WANG Rong, SUN Yibo. Appearance and action adaptive target tracking method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(8): 1525-1533. doi: 10.13700/j.bh.1001-5965.2021.0597 |
| [19] | ZHANG Shengyu, ZHU Zhencai, HU Haiying. Burst tasks scheduling method for infrared LEO constellation based on multi-strategies[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(12): 2405-2414. doi: 10.13700/j.bh.1001-5965.2021.0119 |
| [20] | QI Jiayi, LI Qiao, XIONG Huagang, YAN Ruowen. Airborne PLC channel modeling by transfer function and its probabilistic guarantee analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(12): 2548-2555. doi: 10.13700/j.bh.1001-5965.2021.0153 |
| 1. | 白冰. 结构失效概率分析的球层抽样方法. 西南交通大学学报. 2024(03): 691-699 .  |
Figures(4) / Tables(3)
Copyright © Journal of Beijing University of Aeronautics and Astronautics
Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@buaa.edu.cn
Supported by:
Beijing Renhe Information Technology Co., Ltd.
Ma Shuohan, Ma Qishuang. Pulse phase thermography chirp Z transform[J]. Journal of Beijing University of Aeronautics and Astronautics, 2011, 37(11): 1435-1439,1445. (in Chinese)
DownLoad:
