Citation: | YANG Lechang, HAN Dongxu, WANG Pidong. Imprecise Probabilistic Model Updating Using A Wasserstein Distance-based Uncertainty Quantification Metric[J]. JOURNAL OF MECHANICAL ENGINEERING, 2022, 58(24): 300-311. doi: 10.3901/JME.2022.24.300 |
[1] |
王龙华. 数学模型校准问题研究[D]. 长沙: 国防科学技术大学, 2012.
WANG Longhua. Research on the calibration of mathematical model[D]. Changsha: National University of Defense Technology, 2012.
|
[2] |
朱战霞, 张红文, 罗秋月. 自由漂浮空间机器人神经网络自适应控制律设计[J]. 西北工业大学学报, 2017, 35(1): 59-65. https://www.cnki.com.cn/Article/CJFDTOTAL-XBGD201701010.htm
ZHU Zhanxia, ZHANG Hongwen, LUO Qiuyue. Design of neural network adaptive control law for free-floating space robot[J]. Journal of Northwestern Polytechnical University, 2017, 35(1): 59-65. https://www.cnki.com.cn/Article/CJFDTOTAL-XBGD201701010.htm
|
[3] |
喻天翔, 赵庆岩, 尚柏林, 等. 考虑间隙不确定性的花键概率疲劳寿命预测方法[J/OL]. 机械工程学报, 1-12[2022-04-05]. http://kns.cnki.net/kcms/detail/11.2187.TH.20210514.1138.002.html
YU Tianxiang, ZHAO Qingyan, SHANG Bolin, et al. Probabilistic fatigue life prediction method of spline considering clearance uncertainty[J]. Journal of Mechanical Engineering, 1-12[2022-04-05]. http://kns.cnki.net/kcms/detail/11.2187.TH.20210514.1138.002.html
|
[4] |
张小强. 随机与认知不确定性下机械系统可靠性分析与优化设计方法研究[D]. 成都: 电子科技大学, 2018.
ZHANG Xiaoqiang. Research on reliability analysis and optimization design method of mechanical system under stochastic and cognitive uncertainty[D]. Chengdu: University of Electronic Science and Technology of China, 2018.
|
[5] |
李彦锋, 黄洪钟, 黄意贤. 太阳翼驱动机构的故障模式影响分析与时变可靠性研究[J]. 机械工程学报, 2020, 56(5): 108-115. doi: 10.3901/JME.2020.05.108
LI Yanfeng, HUANG Hongzhong, HUANG Yixian. Analysis of failure mode influence and time-varying reliability of solar wing driving mechanism[J]. Journal of Mechanical Engineering, 2020, 56(5): 108-115. doi: 10.3901/JME.2020.05.108
|
[6] |
KHODAPARAST H H, MOTTERSHEAD J E, BADCOCK K J. Interval model updating with irreducible uncertainty using the Kriging predictor[J]. Mechanical Systems and Signal Processing, 2011, 25(4): 1204-1226. doi: 10.1016/j.ymssp.2010.10.009
|
[7] |
ABU HUSAIN N, KHODAPARAST H H, OUYANG H. Parameter selection and stochastic model updating using perturbation methods with parameter weighting matrix assignment[J]. Mechanical Systems and Signal Processing, 2012, 32: 135-152. doi: 10.1016/j.ymssp.2012.04.001
|
[8] |
彭卫文, 黄洪钟, 李彦锋, 等. 基于数据融合的加工中心功能铣头贝叶斯可靠性评估[J]. 机械工程学报, 2014, 50(6): 185-191. http://www.cjmenet.com.cn/CN/Y2014/V50/I6/185
PENG Weiwen, HUANG Hongzhong, LI Yanfeng, et al. Bayesian reliability evaluation of machining center functional milling head based on data fusion[J]. Journal of Mechanical Engineering, 2014, 50(6): 185-191. http://www.cjmenet.com.cn/CN/Y2014/V50/I6/185
|
[9] |
BI S, PRABHU S, COGAN S, et al. Uncertainty quantification Metrics with varying statistical information in model calibration and validation[J]. AIAA Journal, 2017, 55(10): 3570-3583. doi: 10.2514/1.J055733
|
[10] |
YANG L C, BI S F, FAES M G R, et al. Bayesian inversion for imprecise probabilistic models using a novel entropy-based uncertainty quantification metric[J]. Mech. Syst. Signal Proc., 2022, 162: 21.
|
[11] |
BI S, BROGGI M, BEER M. The role of the Bhattacharyya distance in stochastic model updating[J]. Mechanical Systems and Signal Processing, 2019, 117: 437-452. doi: 10.1016/j.ymssp.2018.08.017
|
[12] |
张建军, 乔松珊. 正态总体下参数的优化极大似然估计方法[J]. 统计与决策, 2012(2): 16-18. https://www.cnki.com.cn/Article/CJFDTOTAL-TJJC201202005.htm
ZHANG Jianjun, QIAO Songshan. Optimized maximum likelihood estimation method for parameters in normal population[J]. Statistics and Decision, 2012(2): 16-18. https://www.cnki.com.cn/Article/CJFDTOTAL-TJJC201202005.htm
|
[13] |
MOTTERSHEAD J E, FRISWELL M I. Model updating in structural dynamics: A survey[J]. Journal of Sound and Vibration, 1993, 167(2): 347-375. doi: 10.1006/jsvi.1993.1340
|
[14] |
ROY C J, OBERKAMPF W L. A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing[J]. Computer Methods in Applied Mechanics and Engineering, 2011, 200(25-28): 2131-2144. doi: 10.1016/j.cma.2011.03.016
|
[15] |
RENS V D S, SARAH D, RUTH K, et al. Bayesian statistics and modelling[J]. Nature Reviews Methods Primers, 2021, 1(1): 3. https://doi.org/10.1038/ s43586-020-00003-0 doi: 10.1038/s43586-020-00003-0
|
[16] |
CRANMER K, BREHMER J, LOUPPE G. The frontier of simulation-based inference[J]. Proceedings of the National Academy of Sciences of the United States of America, 2020, 117(48): 30055-30062. doi: 10.1073/pnas.1912789117
|
[17] |
BARAGATTI M, PUDLO P. An overview on approximate Bayesian computation[J]. ESAIM: Proceedings, 2014, 44: 291-299. doi: 10.1051/proc/201444018
|
[18] |
CHING J, CHEN Y C. Transitional Markov Chain Monte Carlo method for Bayesian model updating, model class selection, and model averaging[J]. Journal of Engineering Mechanics, 2007, 133: 816-832.
|
[19] |
RUBNER Y, TOMASI C, GUIBAS L J. The Earth mover's distance as a metric for image retrieval[J]. International Journal of Computer Vision, 2000, 40(2): 99-121.
|
[20] |
PANARETOS V M, ZEMEL Y. Statistical aspects of wasserstein distances[J]. Annual Review of Statistics and Its Application, 2019, 6: 405-431.
|
[21] |
NADJAHI K, DE BORTOLI V, DURMUS A, et al. Approximate Bayesian computation with the sliced-wasserstein distance[C]// ICASSP 2020-2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), May 1, 2020, Barcelona. SPAIN: IEEE, 2020: 5470-5474.
|
[22] |
FANG S E, ZHANG Q H, REN W X. An interval model updating strategy using interval response surface models[J]. Mechanical Systems and Signal Processing, 2015, 60-61: 909-927.
|
[23] |
CRESPO L G, KENNY S P, GIESY D P. The NASA langley multidisciplinary uncertainty quantification challenge[C]//AIAA Non-Deterministic Approaches conference, January 13-17, 2014, Maryland. National Harbor: AIAA, 2014: 13-47.
|
[24] |
SAFTA C, SARGSYAN K, NAJM H N, et al. Probabilistic methods for sensitivity analysis and calibration in the NASA challenge problem[J]. Journal of Aerospace Information Systems, 2015, 12(1): 219-234.
|
[25] |
SRIVASTAVA A, SUBRAMANIYAN A K, WANG L. Hybrid Bayesian solution to NASA langley research center multidisciplinary uncertainty quantification challenge[J]. Journal of Aerospace Information Systems, 2015, 12(1): 114-139.
|