Acta Aeronautica et Astronautica Sinica ›› 2024, Vol. 45 ›› Issue (19): 229969.doi: 10.7527/S1000-6893.2024.29969
• Solid Mechanics and Vehicle Conceptual Design • Previous Articles
Yanhe TAO1,2, Qintao GUO1,2(), Jin ZHOU1,2, Jiaqian MA1,2, Xiaofa LI3
Received:
2023-12-12
Revised:
2023-12-26
Accepted:
2024-01-17
Online:
2024-02-06
Published:
2024-02-02
Contact:
Qintao GUO
E-mail:guo_qintao@nuaa.edu.cn
Supported by:
CLC Number:
Yanhe TAO, Qintao GUO, Jin ZHOU, Jiaqian MA, Xiaofa LI. Efficient variational Bayesian model updating under observation uncertainty[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(19): 229969.
Table 1
Comparison of parameters and errors before and after model updating
参数 | 真实值 | 初始值 | 修正后(不考虑观测不确定性) | 修正后(考虑观测不确定性) | ||
---|---|---|---|---|---|---|
修正值 | 误差/% | 修正值 | 误差/% | |||
1.0 | 1.2 | 0.998 8 | -0.12 | [0.986 4, 0.993 1] | [-1.36, 0.69] | |
1.0 | 1.2 | 0.998 9 | -0.11 | [0.993 3, 1.001 2] | [-0.67, 0.12] | |
1.0 | 1.2 | 0.999 7 | -0.03 | [0.990 2, 1.001 4] | [-0.98, 0.14] | |
0.1 | 0.2 | 0.116 8 | 16.8 | [0.114 4, 0.116 6] | [11.4, 16.6] | |
0.1 | 0.2 | 0.116 1 | 16.1 | [0.113 9, 0.119 1] | [13.9, 19.1] | |
0.1 | 0.2 | 0.116 8 | 16.8 | [0.110 1, 0.121 2] | [10.1, 21.2] |
Table 2
Comparison of parameters and errors before and after model updating
参数 | 真实值 | 初始值 | 使用欧氏距离 | 使用马氏距离 | 使用巴氏距离 | |||
---|---|---|---|---|---|---|---|---|
修正值 | 误差/% | 修正值 | 误差/% | 修正值 | 误差/% | |||
1.0 | 1.2 | 0.994 7 | -0.53 | 0.998 8 | -0.12 | 0.999 2 | -0.08 | |
1.0 | 1.2 | 0.996 2 | -0.38 | 0.998 9 | -0.11 | 1.001 8 | 0.18 | |
1.0 | 1.2 | 1.003 5 | 0.35 | 0.999 7 | -0.03 | 0.999 8 | -0.02 | |
0.1 | 0.2 | 0.119 9 | 19.9 | 0.116 8 | 16.80 | 0.087 7 | -12.30 | |
0.1 | 0.2 | 0.115 0 | 15.0 | 0.116 1 | 16.10 | 0.119 8 | 19.80 | |
0.1 | 0.2 | 0.081 0 | -19.0 | 0.116 8 | 16.80 | 0.115 4 | 15.40 |
Table 3
Experimental plan
试验组别 | ||||||
---|---|---|---|---|---|---|
1~6 | 2.74 | 2.74 | 2.74 | 2.74 | 2.74 | |
7~12 | 2.74 | 2.74 | 2.74 | 2.74 | ||
13~18 | 2.74 | 2.74 | 2.74 | |||
19~24 | 2.74 | 2.74 | ||||
25~30 | 2.74 | |||||
31~36 |
Table 4
Errors of model correction results without considering observation uncertainty
试验组别 | 响应点 | 均值误差 | |||||
---|---|---|---|---|---|---|---|
m1 | m2 | m3 | m4 | m5 | m6 | ||
1~6 | A | -1.17(10.62) | |||||
B | -1.04(11.48) | ||||||
7~12 | A | 1.19(9.89) | -0.97(-14.12) | ||||
B | -1.11(10.84) | -0.74(-14.29) | |||||
13~18 | A | -0.98(11.91) | -1.16(11.54) | -0.60(-13.78) | |||
B | -2.08(18.69) | -0.61(13.16) | -0.33(-14.57) | ||||
19~24 | A | -0.89(-10.79) | -0.92(13.87) | -1.05(17.06) | -0.21(-16.48) | ||
B | -0.52(-13.83) | -1.93(18.12) | -1.34(13.61) | -1.19(-8.18) | |||
25~30 | A | -1.26(-20.92) | -1.52(19.31) | 0.12(23.22) | 1.20(19.49) | -0.76(-8.60) | |
B | -1.14(-10.70) | -0.83(15.97) | -1.34(13.79) | -1.41(15.76) | -0.83(-9.55) | ||
31~36 | A | -0.37(-19.26) | -1.34(15.55) | -0.93(11.70) | -1.89(11.93) | -1.38(-12.56) | -0.47(-7.18) |
B | -0.72(-13.14) | -1.74(14.72) | -2.02(19.40) | -1.85(20.60) | -0.50(-13.68) | -0.61(-16.44) |
1 | AHMAD BURHANI A B, WOOK C D, HYEONGILL L. Finite element model updating of composite with adhesive jointed structure under built-up internal stress[J]. Journal of Vibration and Control, 2022, 28(11-12): 1390-1401. |
2 | BI S F, BEER M, COGAN S, et al. Stochastic model updating with uncertainty quantification: An overview and tutorial[J]. Mechanical Systems and Signal Processing, 2023, 204: 110784. |
3 | CRESPO L G, KENNY S P, GIESY D P. The NASA langley multidisciplinary uncertainty quantification challenge[C]∥16th AIAA Non-deterministic Approaches Conference. Reston: AIAA, 2014, doi: 10.2514/6.2014-1347 . |
4 | BECK J L, KATAFYGIOTIS L S. Updating models and their uncertainties. I: Bayesian statistical framework[J]. Journal of Engineering Mechanics, 1998, 124(4): 455-461. |
5 | FENG K, LU Z, CHEN Z, et al. An innovative Bayesian updating method for laminated composite structures under evidence uncertainty[J]. Composite structures, 2023, 304(1):116429. |
6 | LIAO B P, ZHAO R, YU K P, et al. A novel interval model updating framework based on correlation propagation and matrix-similarity method[J]. Mechanical Systems and Signal Processing, 2022, 162(2): 108039. |
7 | PANDA A K, MODAK S V. A two-stage approach to stochastic finite element model updating using FRF data[J]. Journal of Sound and Vibration, 2023, 553: 117670. |
8 | 陈喆, 何欢, 陈国平, 等. 考虑不确定性因素的有限元模型修正方法研究[J]. 振动工程学报, 2017, 30(6): 921-928. |
CHEN Z, HE H, CHEN G P, et al. The research of finite element model updating method considering the uncertainty[J]. Journal of Vibration Engineering, 2017, 30(6): 921-928 (in Chinese). | |
9 | 王震宇, 王计真, 杨婧艺, 等. 基于新型粒子群算法的结构动力学热振模型修正[J]. 航空学报, 2023, 44(7): 226559. |
WANG Z Y, WANG J Z, YANG J Y, et al. Dynamics model updating of structures at high temperature based on novel particle swarm optimization algorithm[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(7): 226559 (in Chinese). | |
10 | 杨庆. 基于多级贝叶斯模型修正的结构损伤识别方法研究[D]. 大连: 大连交通大学, 2018: 17-30. |
YANG Q. Study on structural damage identification method based on hierarchical Bayesian model updating[D].Dalian: Dalian Jiaotong University, 2018: 17-30. (in Chinese) | |
11 | SEDEHI O, KATAFYGIOTIS L, PAPADIMITRIOU C. A time-domain hierarchical Bayesian approach for model updating[C]∥The 16th European Conference on Earthquake Engineering (16ECEE). Thessaloniki: European Association for Earthquake Engineering, 2018: 1-11. |
12 | SEDEHI O, PAPADIMITRIOU C, KATAFYGIOTIS L S. Probabilistic hierarchical Bayesian framework for time-domain model updating and robust predictions[J]. Mechanical Systems and Signal Processing, 2018, 123: 648-673. |
13 | KITAHARA M, BI S F, BROGGI M, et al. Bayesian model updating in time domain with metamodel-based reliability method[J]. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part A Civil Engineering, 2021, 7(3), doi: 10.1061/AJRUA6.0001149 . |
14 | 程马遥, 金银富, 尹振宇, 等. 改进DE-TMCMC法及其在高级模型参数识别上的应用[J]. 岩土工程学报, 2019, 41(12): 2281-2289. |
CHENG M Y, JIN Y F, YIN Z Y, et al. Enhanced DE-TMCMC and its application in identifying parameters of advanced soil model[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(12): 2281-2289 (in Chinese). | |
15 | TONG W T, GE W, HAN X, et al. A low-complexity algorithm based on variational Bayesian inference for MIMO channel estimation[J]. Applied Acoustics, 2023, 211(2): 109512. |
16 | ZHANG B, HOU Y, YANG Y, et al. Variational Bayesian cardinalized probability hypothesis density filter for robust underwater multi-target direction-of-arrival tracking with uncertain measurement noise[J]. Frontiers in Physics, 2023, 11, doi: 10.3389/fphy.2023.1142400. |
17 | 蔡巍, 陈明剑, 邓垦, 等. 基于变分贝叶斯自适应鲁棒滤波的动对动相对定位算法[J]. 中国惯性技术学报, 2023, 31(8): 760-767, 776. |
CAI W, CHEN M J, DENG K, et al. Dynamic to dynamic relative positioning algorithm based on variational Bayesian adaptive robust filtering[J]. Journal of Chinese Inertial Technology, 2023, 31(8): 760-767, 776 (in Chinese). | |
18 | 李明, 柴洪洲, 靳凯迪, 等. 基于可变因子的变分贝叶斯SINS海上动态对准[J]. 海洋测绘, 2023, 43(4): 47-51. |
LI M, CHAI H Z, JIN K D, et al. Variational Bayesian SINS marine dynamic alignment based on variable factor[J]. Hydrographic Surveying and Charting, 2023, 43(4): 47-51 (in Chinese). | |
19 | 田健. 基于变分贝叶斯滤波的MEMS-SINS/GPS组合导航算法研究[D]. 重庆: 重庆邮电大学, 2021: 35-52. |
TIAN J. Research on MEMS-SINS/GPS integrated navigation based on varitional Bayesian filtering[D].Chongqing: Chongqing University of Posts and Telecommunications, 2021: 35-52. (in Chinese) | |
20 | 王彦钧. 基于变分贝叶斯的协同目标跟踪方法研究[D]. 镇江: 江苏大学, 2021: 41-50. |
WANG Y J. Research on cooperative target tracking method based on variational bayes[D].Zhenjiang: Jiangsu University, 2021: 41-50. (in Chinese) | |
21 | 巴丽伟, 童常青. 基于变分贝叶斯推断的因子分析法[J]. 杭州电子科技大学学报(自然科学版), 2022, 42(3): 95-102. |
BA L W, TONG C Q. Factor analysis based on variational Bayes inference[J]. Journal of Hangzhou Dianzi University (Natural Sciences), 2022, 42(3): 95-102 (in Chinese). | |
22 | 于汀, 李璐祎, 刘昱杉, 等. 观测不确定性下的高效贝叶斯更新方法及其在机翼结构中的应用[J]. 航空学报, 2023, 44(24): 117-134. |
YU T, LI L Y, LIU Y S, et al. Efficient Bayesian updating method under observation uncertainty and its application in wing structure[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(24): 117-134 (in Chinese). | |
23 | 熊芬芬, 李泽贤, 刘宇, 等. 基于数值模拟的工程设计中参数不确定性表征方法研究综述[J]. 航空学报, 2023, 44(22): 92-123. |
XIONG F F, LI Z X, LIU Y, et al. A review of characterization methods for parameter uncertainty in engineering design based on numerical simulation[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(22): 92-123 (in Chinese). | |
24 | RANGANATH R. Black Box Variational Inference: Scalable, Generic Bayesian Computation and its Applications[D]. Princeton: Princeton University, 2017: 20-27. |
25 | ZHAO Y H. Gaussian process mixture model for prediction based on maximum posterior distribution[J]. Journal of Physics: Conference Series, 2021, 2014: 012007. |
26 | 恽鹏. 不确定量测下的变分贝叶斯目标跟踪算法研究[D]. 南京: 南京理工大学, 2022: 14-16. |
YUN P. Research on variational Bayesian target tracking algorithm under uncertain measurement[D].Nanjing: Nanjing University of Science and Technology, 2022: 14-16. (in Chinese) | |
27 | ACERBI L. Variational Bayesian monte carlo[J]. Advances in Neural Information Processing Systems, 2018, 31: 8222-8232. |
28 | ACERBI L. Variational Bayesian Monte Carlo with noisy likelihoods[C]∥Proceedings of the 34th International Conference on Neural Information Processing Systems. New York: ACM, 2020: 8211-8222. |
29 | CHE Y F, WU X, PASTORE G, et al. Application of Kriging and Variational Bayesian Monte Carlo method for improved prediction of doped UO2 fission gas release[J]. Annals of Nuclear Energy, 2021, 153(3): 108046. |
30 | ZHANG Q, LI Y P, HUANG G H, et al. Copula function with Variational Bayesian Monte Carlo for unveiling uncertainty impacts on meteorological and agricultural drought propagation[J]. Journal of Hydrology, 2023, 622: 129669. |
31 | 展铭. 螺栓连接结构动力学多响应模型修正与确认方法研究[D]. 南京: 南京航空航天大学, 2020: 74-75. |
ZHAN M. Research on model updating and validation of bolt jointed structures based on multi dynamic responses[D].Nanjing: Nanjing University of Aeronautics and Astronautics, 2020: 74-75 (in Chinese). | |
32 | 杨乐昌, 韩东旭, 王丕东. 基于Wasserstein距离测度的非精确概率模型修正方法[J]. 机械工程学报, 2022, 58(24): 300-311. |
YANG L C, HAN D X, WANG P D. Imprecise probabilistic model updating using A Wasserstein distance-based uncertainty quantification metric[J]. Journal of Mechanical Engineering, 2022, 58(24): 300-311 (in Chinese). | |
33 | 姜东, 吴邵庆, 史勤丰, 等. 基于各向同性本构关系薄层单元的螺栓连接参数识别[J]. 振动与冲击, 2014, 33(22): 35-40. |
JIANG D, WU S Q, SHI Q F, et al. Parameter identification of bolted-joint based on the model with thin-layer elements with isotropic constitutive relationship[J]. Journal of Vibration and Shock, 2014, 33(22): 35-40 (in Chinese). | |
34 | DESAI C S, ZAMAN M M, LIGHTNER J G, et al. Thin-layer element for interfaces and joints[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1984, 8(1): 19-43. |
35 | LIAO T, FASANG A. Comparing groups of life-course sequences using the Bayesian information criterion and the likelihood-ratio test[J]. Sociological Methodology, 2020, 51: 44-85. |
36 | 邓振鸿, 张保强, 苏国强, 等. 基于近似似然的频响函数不确定性模型修正[J]. 振动 测试与诊断, 2020, 40(3): 548-554, 628. |
DENG Z H, ZHANG B Q, SU G Q, et al. Uncertainty model updating of frequency response function based on approximate likelihood function[J]. Journal of Vibration, Measurement & Diagnosis, 2020, 40(3): 548-554, 628 (in Chinese). |
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