Citation: | Wan Zhiqiang, Chen Jianbing, Michael Beer. FUNCTIONAL PERSPECTIVE OF UNCERTAINTY QUANTIFICATION FOR STOCHASTIC PARAMETRIC SYSTEMS AND GLOBAL SENSITIVITY ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(3): 837-854. DOI: 10.6052/0459-1879-20-336 |
[1] |
Soize C. Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering. Cham, Switzerland: Springer International Publishing AG, 2017
|
[2] |
万志强, 陈建兵. 数据稀缺与更新条件下基于概率密度演化-测度变换的认知不确定性量化分析. 工程力学, 2020,37(1):34-42
(Wan Zhiqiang, Chen Jianbing. Quantification of epistemic uncertainty due to data sparsity and updating based on the framework via synthesizing probability density evolution method and change of probability measure. Engineering Mechanics, 2020,37(1):34-42 (in Chinese))
|
[3] |
陈建兵, 万志强, 宋鹏彦. 相依随机变量的随机函数模型. 中国科学: 物理学力学天文学, 2018,61(1):014609
(Chen Jianbing, Wan Zhiqiang, Song Pengyan. Random function model for dependent random variables. Scientia Sinica Physica, Mechanica & Astronomica, 2018,61(1):014609 (in Chinese))
|
[4] |
Li DQ, Zhang L, Tang XS, et al. Bivariate distribution of shear strength parameters using copulas and its impact on geotechnical system reliability. Computers and Geotechnics, 2015,68:184-195
|
[5] |
Hong X, Li J. Stochastic Fourier spectrum model and probabilistic information analysis for wind speed processes. Journal of Wind Engineering and Industrial Aerodynamics, 2018,174:424-436
|
[6] |
Saltelli A, Ratto M, Andres T, et al. Global Sensitivity Analysis. The Primer. Chichester: John Wiley & Sons, 2008
|
[7] |
Morris MD. Factorial sampling plans for preliminary computational experiments. Technometrics, 1991,33(2):161-174
|
[8] |
Sobol' IM, Kucherenko S. Derivative based global sensitivity measures and their link with global sensitivity indices. Mathematics and Computers in Simulation, 2009,79:3009-3017
|
[9] |
Sobol' IM. Sensitivity estimates for nonlinear mathematical models. Mathematical Modeling and Computational Experiment, 1993,1:407-414
|
[10] |
Borgonovo E. A new uncertainty importance measure. Reliability Engineering and System Safety, 2007,92:771-784
|
[11] |
陈建兵, 李杰. 结构随机动力非线性反应的整体灵敏度分析. 计算力学学报, 2008,25(2):169-176
(Chen Jianbing, Li Jie. Global sensitivity in nonlinear stochastic dynamic response analysis of structures. Chinese Journal of Computational Mechanics, 2008,25(2):169-176 (in Chinese))
|
[12] |
Chen JB, Yang JS, Jensen H. Structural optimization considering dynamic reliability constraints via probability density evolution method and change of probability measure. Structural and Multidisciplinary Optimization, 2020,62(5):2499-2516
|
[13] |
Wu YT. Computational methods for efficient structural reliability and reliability sensitivity analysis. AIAA Journal, 1994,32(8):1717-1723
|
[14] |
Valdebenito MA, Jensen HA, Hernández HB, et al. Sensitivity estimation of failure probability applying line sampling. Reliability Engineering and System Safety, 2018,171:99-111
|
[15] |
Dubourg V, Sudret B. Meta-model-based importance sampling for reliability sensitivity analysis. Structural Safety, 2014,49:27-36
|
[16] |
Chen JB, Wan ZQ, Beer M. A global sensitivity index based on Fréchet derivative and its efficient numerical analysis. Probabilistic Engineering Mechanics, 2020,62:103096
|
[17] |
Chen JB, Wan ZQ. A compatible probabilistic framework for quantification of simultaneous aleatory and epistemic uncertainty of basic parameters of structures by synthesizing the change of measure and change of random variables. Structural Safety, 2019,78:76-87
|
[18] |
Ang AH-S, Tang W. 工程中的概率概念. 陈建兵, 彭勇波, 刘威等, 译. 北京: 中国建筑工业出版社, 2017
(Ang AH-S, Tang W. Probability Concepts in Engineering. Transl. Chen Jianbing, Peng Yongbo, Liu Wei, et al. Hoboken: John Wiley & Sons, 2006 (in Chinese))
|
[19] |
Papoulis A, Pillai SU. Probability, Random Variables, Stochastic Processes. New York: McGraw-Hill, 2002
|
[20] |
Li J, Chen JB. The principle of preservation of probability and the generalized density evolution equation. Structural Safety, 2008,30:65-77
|
[21] |
Li J, Chen JB. Stochastic Dynamics of Structures. Singapore: John Wiley & Sons, 2009
|
[22] |
Bobrowski A.x Functional Analysis for Probability and Stochastic Processes. An introduction. New York: Cambridge University Press. 2005
|
[23] |
李杰. 工程结构整体可靠性分析研究进展. 土木工程学报, 2018,51(8):1-10
(Li Jie. Advances in global reliability analysis of engineering structures. China Civil Engineering Journal, 2018,51(8):1-10 (in Chinese))
|
[24] |
Atkinson K, Han WM. Theoretical Numerical Analysis: A Functional Analysis Framework. New York: Springer Science Business Media, 2009
|
[25] |
Saltelli A, Tarantola S, Campolongo F, et al. Sensitivity Analysis in Practice. A Guide to Assessing Scientific Models. Chichester: John Wiley & Sons, 2004
|
[26] |
Zhao YG, Zhang XY, Lu ZH. Complete monotonic expression of the fourth-moment normal transformation for structural reliability. Computers and Structures, 2018,196:186-199
|
[27] |
Zhao YG, Zhang XY, Lu ZH. A flexible distribution and its application in reliability engineering. Reliability Engineering and System Safety, 2018,176:1-12
|
[28] |
Melchers RE, Beck AT. Structural Reliability Analysis and Prediction. Chichester: John Wiley & Sons, 2018
|
[29] |
Nelsen RB. An Introduction to Copulas. New York: Springer Science Business Media, 2006
|
[30] |
Berberan-Santos MN. Expressing a probability density function in terms of another PDF: A generalized Gram-Charlier expansion. Journal of Mathematical Chemistry, 2007,42(3):585-594
|
[31] |
蒋仲铭, 李杰. 三类随机系统广义概率密度演化方程的解析解. 力学学报, 2016,48(2):413-421
(Jiang Zhongming, Li Jie. Analytical solutions of the generalized probability density evolution equation of three classes stochastic systems. Chinese Journal of Theoretical and Applied Mechanics, 2016,48(2):413-421 (in Chinese))
|
[32] |
Chen JB, Yang JY, Li J. A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters. Structural Safety, 2016,59:20-31
|
[33] |
Chen JB, Chan JP. Error estimate of point selection in uncertainty quantification of nonlinear structures involving multiple nonuniformly distributed parameters. International Journal for Numerical Methods in Engineering, 2019,118:536-560
|
[34] |
Li J, Chen JB, Fan WL. The equivalent-value event and evaluation of the structural system reliability. Structural Safety, 2007,29:112-131
|
[35] |
Grigoriu M. Stochastic Calculus. Applications in Science and Engineering. New York: Springer Science Business Media, 2002
|
[36] |
Su YH, Li X, Xie ZY. Probabilistic evaluation for the implicit limit-state function of stability of a highway tunnel in China. Tunnelling and Underground Space Technology, 2011,26:422-434
|
[37] |
Song JW, Valdebenito M, Wei PF, et al. Non-intrusive imprecise stochastic simulation by line sampling. Structural Safety, 2020,84:101936
|
[38] |
中华人民共和国住房和城乡建设部组织. GB 50010 2010 混凝土结构设计规范. 北京: 中国建筑工业出版社, 2010
( Ministry of Housing and Urban-Rural Development of the People's Republic of China. GB 50010 2010 Code for Design of Concrete Structures. Beijing: China Architecture & Building Press, 2010 (in Chinese))
|
[1] | Li Jianyu, Yang Kun, Wang Bo, Zhang Lili. A MAXIMUM ENTROPY APPROACH FOR UNCERTAINTY QUANTIFICATION OF INITIAL GEOMETRIC IMPERFECTIONS OF THIN-WALLED CYLINDRICAL SHELLS WITH LIMITED DATA[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(4): 1028-1038. DOI: 10.6052/0459-1879-22-556 |
[2] | He Jiaqi, Jia Xiaoxuan, Wu Weida, Zhong Jiehua, Luo Yangjun. P-CS UNCERTAINTY QUANTIFICATION MODEL AND ITS PERFORMANCE DATA-DRIVEN UPDATING METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(10): 2808-2824. DOI: 10.6052/0459-1879-22-173 |
[3] | Liu Haibo, Jiang Chao, Zheng Jing, Wei Xinpeng, Huang Zhiliang. A SYSTEM RELIABILITY ANALYSIS METHOD FOR STRUCTURES WITH PROBABILITY AND INTERVAL MIXED UNCERTAINTY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 456-466. DOI: 10.6052/0459-1879-16-294 |
[4] | Ye Kun, Ye Zhengyin, Qu Zhan, Wu Xiaojin, Zhang Weiwei. UNCERTAINTY AND GLOBAL SENSITIVITY ANALYSIS OF HYPERSONIC CONTROL SURFACE AEROTHERMOELASTIC[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(2): 278-289. DOI: 10.6052/0459-1879-14-406 |
[5] | Wu Xiaojing, Zhang Weiwei, Song Shufang, Ye Zhengyin. UNCERTAINTY QUANTIFICATION AND GLOBAL SENSITIVITY ANALYSIS OF TRANSONIC AERODYNAMICS ABOUT AIRFOIL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(4): 587-595. DOI: 10.6052/0459-1879-14-372 |
[6] | Frequency sensitivity analysis for dynamic structural systems reliability[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(5): 716-720. DOI: 10.6052/0459-1879-2008-5-2008-060 |
[7] | Dynamic Optimization of Multibody System Dynamics and Adjoint Variable Method for Design Sensitivity Analysis[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(5): 611-619. DOI: 10.6052/0459-1879-2005-5-2004-113 |
[8] | 一类刚-柔耦合系统的建模与稳定性研究[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 439-447. DOI: 10.6052/0459-1879-1997-4-1995-249 |
[9] | SENSITIVITY ANALYSIS OF DISCRETE VIBRATORY SYSTEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(2): 180-188. DOI: 10.6052/0459-1879-1995-2-1995-421 |
[10] | THE RESPONSE SENSIVIT Y ANALYSIS FOR STRUCTURAL SYSTEMS IN RANDOM EXCITATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(4): 438-445. DOI: 10.6052/0459-1879-1990-4-1995-967 |
1. |
何佳琦,贾晓璇,吴伟达,钟杰华,罗阳军. P-CS不确定性量化模型与其性能数据驱动更新方法. 力学学报. 2022(10): 2808-2824 .
![]() |