ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Digital twin driven high precision reconstruction method for full-field deformation of structure
Received date: 2024-07-29
Revised date: 2024-08-19
Accepted date: 2024-10-07
Online published: 2024-10-15
Supported by
Major Science and Technology Projects in the Field of Artificial Intelligence of Liaoning Province(2023JH26/10100007);Excellent Youth Fund under the Science and Technology Program of Liaoning Province(2024JH3/10200003);National Key Research and Development Program of China(2022YFB3404700)
To address the issue that traditional direct and indirect deformation monitoring methods are difficult to meet the requirements of high-precision real-time deformation monitoring of structures, a digital twin-driven high-precision reconstruction method for full-field deformation of structure is proposed. Firstly, a multi-directional digital twin strain field is constructed by integrating simulation and measured strain data, which reduces the influence of load deviation and other factors on the simulation reliability, and ensures the strain accuracy of the deformation reconstruction. Secondly, a modal coordinate solving and deformation reconstruction method considering multi-directional strain is proposed. By incorporating multi-directional strain in the modal coordinate solving process, this method solves the problem of insufficient stability of the reconstruction results when single-directional strain is used, and improves the stability of the full-field deformation reconstruction of the structure. Finally, based on the proposed method, the experimental validation is carried out with the wing structure, and the results are compared with the simulation and the deformation reconstruction results of the traditional modal superposition method. The result shows that the proposed method has a higher advantage of reconstruction accuracy in the place of large deformation. The relative error between the reconstruction results of the proposed method and the measured deformation is less than 0.8%, and the absolute error is less than 0.09 mm, which is 7% and 12% lower than that of the traditional modal method and the simulation method, respectively. At the same time, the average relative error of the proposed method for deformation reconstruction at multiple measurement points is 1.2%, which is 5.7% and 9.3% lower than that of the traditional modal method and simulation analysis method, respectively. Moreover, when the number of strain gauges is small, the deformation reconstruction accuracy of the proposed method is improved by more than one order of magnitude compared with the traditional modal superposition method, which indicates that the proposed method has higher deformation reconstruction accuracy and stability.
Yiwei HUANG , Yibin GENG , Tianhe GAO , Xuanwei HU , Yuan WANG , Hongyan MA , Kuo TIAN . Digital twin driven high precision reconstruction method for full-field deformation of structure[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2025 , 46(19) : 530967 -530967 . DOI: 10.7527/S1000-6893.2024.30967
| [1] | KIM D H, LEE K H, AHN B J, et al. Strain and damage monitoring in solar-powered aircraft composite wing using fiber Bragg grating sensors[C]∥Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems. New York: SPIE, 2013: 576-581. |
| [2] | 孙侠生, 肖迎春. 飞机结构健康监测技术的机遇与挑战[J]. 航空学报, 2014, 35(12): 3199-3212. |
| SUN X S, XIAO Y C. Opportunities and challenges of aircraft structural health monitoring[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(12): 3199-3212 (in Chinese). | |
| [3] | BARTLEY-CHO J, WANG D, KUDVA J. Shape estimation of deforming structures[C]∥19th AIAA Applied Aerodynamics Conference. Reston: AIAA, 2001: 1566. |
| [4] | JONES R T, BELLEMORE D G, BERKOFF T A, et al. Determination of cantilever plate shapes using wavelength division multiplexed fiber Bragg grating sensors and a least-squares strain-fitting algorithm[J]. Smart Materials and Structures, 1998, 7(2): 178-188. |
| [5] | DAVIS M A, KERSEY A D, SIRKIS J, et al. Shape and vibration mode sensing using a fiber optic Bragg grating array[J]. Smart Materials and Structures, 1996, 5(6): 759-765. |
| [6] | GHERLONE M, CERRACCHIO P, MATTONE M, et al. Shape sensing of 3D frame structures using an inverse Finite Element Method[J]. International Journal of Solids and Structures, 2012, 49(22): 3100-3112. |
| [7] | 于起峰, 尚洋, 伏思华, 等. 大型结构变形及形貌摄像测量技术研究进展[J]. 实验力学, 2011, 26(5): 479-490. |
| YU Q F, SHANG Y, FU S H, et al. Development of videometrics for large-scale structual deformation and topography measurement[J]. Journal of Experimental Mechanics, 2011, 26(5): 479-490 (in Chinese). | |
| [8] | DERKEVORKIAN A, MASRI S F, ALVARENGA J, et al. Strain-based deformation shape-estimation algorithm for control and monitoring applications[J]. AIAA Journal, 2013, 51(9): 2231-2240. |
| [9] | YOU R Z, REN L, YUAN C L, et al. Two-dimensional deformation estimation of beam-like structures using inverse finite-element method: theoretical study and experimental validation[J]. Journal of Engineering Mechanics, 2021, 147(5): 04021019. |
| [10] | AN Y H, CHEN J S, LI H H, et al. A real-time spatial deformation estimation method based on spatial curvature decomposition and interpolation[J]. Engineering Structures, 2023, 296: 116904. |
| [11] | KO W, RICHARDS W, TRAN V T. Displacement theories for in-flight deformed shape predictions of aerospace structures: 20070032936[R]. California: NASA Armstrong Flight Research Center, 2007. |
| [12] | KO W, RICHARDS W, FLEISCHER V. Applications of KO displacement theory to the deformed shape predictions of the doubly-tapered ikhana wing: 20090040594[R]. California: NASA Armstrong Flight Research Center, 2009. |
| [13] | 胡明月, 吴邵庆, 董萼良. 基于逆有限元法的三维壁板结构变形场重构[J]. 工程力学, 2024, 41(6): 235-245. |
| HU M Y, WU S Q, DONG E L. Deformation reconstruction of a three-dimensional panel structure opon ifem[J]. Engineering Mechanics, 2024, 41(6): 235-245 (in Chinese). | |
| [14] | TESSLER A, SPANGLER J L. A least-squares variational method for full-field reconstruction of elastic deformations in shear-deformable plates and shells[J]. Computer Methods in Applied Mechanics and Engineering, 2005, 194(2-5): 327-339. |
| [15] | 张科, 袁慎芳, 任元强, 等. 基于逆向有限元法的变形机翼鱼骨的变形重构[J]. 航空学报, 2020, 41(8): 223617. |
| ZHANG K, YUAN S F, REN Y Q, et al. Shape reconstruction of self-adaptive morphing wings’ fishbone based on inverse finite element method[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(8): 223617 (in Chinese). | |
| [16] | LIU M Y, ZHANG X, SONG H, et al. Inverse finite element method for reconstruction of deformation in the gantry structure of heavy-duty machine tool using FBG sensors[J]. Sensors, 2018, 18(7): 2173. |
| [17] | FOSS G C, HAUGSE E D. Using modal test results to develop strain to displacement transformations[C]∥Proceedings of the 13th International Modal Analysis Conference. Nashville, Tennessee: SPIE, 1995: 112. |
| [18] | DERKEVORKIAN A, ALVARENGA J, MASRI S F, et al. Computational studies of a strain-based deformation shape prediction algorithm for control and monitoring applications[C]∥Industrial and Commercial Applications of Smart Structures Technologies 2012. San Diego, California: SPIE, 2012: 104-113. |
| [19] | LIU J Z, FEI Q G, JIANG D, et al. Experimental and numerical investigation on static and dynamic characteristics for curvilinearly stiffened plates using DST-BK model[J]. International Journal of Mechanical Sciences, 2020, 169: 105286. |
| [20] | CAO Z F, FEI Q G, JIANG D, et al. Dynamic sensitivity-based finite element model updating for nonlinear structures using time-domain responses[J]. International Journal of Mechanical Sciences, 2020, 184: 105788. |
| [21] | LIU M N, FANG S L, DONG H Y, et al. Review of digital twin about concepts, technologies, and industrial applications[J]. Journal of Manufacturing Systems, 2021, 58: 346-361. |
| [22] | VANDERHORN E, MAHADEVAN S. Digital twin: generalization, characterization and implementation[J]. Decision Support Systems, 2021, 145: 113524. |
| [23] | TAO F, QI Q L. Make more digital twins[J]. Nature, 2019, 573(7775): 490-491. |
| [24] | WANG B, LI Z C, XU Z Y, et al. Digital twin modeling for structural strength monitoring via transfer learning-based multi-source data fusion[J]. Mechanical Systems and Signal Processing, 2023, 200: 110625. |
| [25] | 田阔, 孙志勇, 李增聪. 面向结构静力试验监测的高精度数字孪生方法[J]. 航空学报, 2024, 45(7): 429134. |
| TIAN K, SUN Z Y, LI Z C. High-precision digital twin method for structural static test monitoring[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(7): 429134 (in Chinese). | |
| [26] | XU Z Y, GAO T H, LI Z C, et al. Digital twin modeling method for hierarchical stiffened plate based on transfer learning[J]. Aerospace, 2023, 10(1): 66. |
| [27] | KURAN B, H N ?. A modal superposition method for non-linear structures[J]. Journal of Sound and Vibration, 1996, 189(3): 315-339. |
| [28] | BOGERT P, HAUGSE E, GEHRKI R. Structural shape identification from experimental strains using a modal transformation technique[C]∥44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston: AIAA, 2003: 1626. |
| [29] | AHMED M, SERAJ R, ISLAM S M S. The k-means algorithm: a comprehensive survey and performance evaluation[J]. Electronics, 2020, 9(8): 1295. |
| [30] | MONTAZER G A, GIVEKI D, KARAMI M, et al. Radial basis function neural networks: A review[J]. Computer Science Review, 2018, 1(1): 52-74. |
| [31] | SHU L S, JIANG P, SONG X G, et al. Novel approach for selecting low-fidelity scale factor in multifidelity metamodeling[J]. AIAA Journal, 2019, 57(12): 5320-5330. |
| [32] | YAN J, CHENG Y Y, ZHANG L, et al. Displacement field reconstruction technique for plate-like structures based on model superposition method[J]. Measurement and Control, 2023, 56(3-4): 654-667. |
| [33] | WONG T T. Performance evaluation of classification algorithms by k-fold and leave-one-out cross validation[J]. Pattern Recognition, 2015, 48(9): 2839-2846. |
| [34] | 李德葆, 诸葛鸿程, 王波. 实验应变模态分析原理和方法[J]. 清华大学学报(自然科学版), 1990, 30(2): 105-112. |
| LI D B, ZHUGE H C, WANG B. On the principle and technique of experimental strain modal analysis[J]. Journal of Tsinghua University (Science and Technology), 1990, 30(2): 105-112 (in Chinese). | |
| [35] | WAN Z M, LI S D, HUANG Q B, et al. Structural response reconstruction based on the modal superposition method in the presence of closely spaced modes[J]. Mechanical Systems and Signal Processing, 2014, 42(1-2): 14-30. |
| [36] | LI L, ZHONG B S, LI W Q, et al. Structural shape reconstruction of fiber Bragg grating flexible plate based on strain modes using finite element method[J]. Journal of Intelligent Material Systems and Structures, 2018, 29(4): 463-478. |
| [37] | HE J J, GUAN X F, LIU Y M. Structural response reconstruction based on empirical mode decomposition in time domain[J]. Mechanical Systems and Signal Processing, 2012, 28: 348-366. |
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