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      KCI등재 SCIE SCOPUS

      Crack identification based on Kriging surrogate model

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      https://www.riss.kr/link?id=A104820536

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      다국어 초록 (Multilingual Abstract)

      Kriging surrogate model provides explicit functions to represent the relationships between the inputs and outputs of a linear or nonlinear system, which is a desirable advantage for response estimation and parameter identification in structural design and model updating problem. However, little research has been carried out in applying Kriging model to crack identification. In this work, a scheme for crack identification based on a Kriging surrogate model is proposed. A modified rectangular grid (MRG) is introduced to move some sample points lying on the boundary into the internal design region, which will provide more useful information for the construction of Kriging model. The initial Kriging model is then constructed by samples of varying crack parameters (locations and sizes) and their corresponding modal frequencies. For identifying crack parameters, a robust stochastic particle swarm optimization (SPSO) algorithm is used to find the global optimal solution beyond the constructed Kriging model. To improve the accuracy of surrogate model, the finite element (FE) analysis soft ANSYS is employed to deal with the re-meshing problem during surrogate model updating. Specially, a simple method for crack number identification is proposed by finding the maximum probability factor. Finally, numerical simulations and experimental research are performed to assess the effectiveness and noise immunity of this proposed scheme.
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      Kriging surrogate model provides explicit functions to represent the relationships between the inputs and outputs of a linear or nonlinear system, which is a desirable advantage for response estimation and parameter identification in structural design...

      Kriging surrogate model provides explicit functions to represent the relationships between the inputs and outputs of a linear or nonlinear system, which is a desirable advantage for response estimation and parameter identification in structural design and model updating problem. However, little research has been carried out in applying Kriging model to crack identification. In this work, a scheme for crack identification based on a Kriging surrogate model is proposed. A modified rectangular grid (MRG) is introduced to move some sample points lying on the boundary into the internal design region, which will provide more useful information for the construction of Kriging model. The initial Kriging model is then constructed by samples of varying crack parameters (locations and sizes) and their corresponding modal frequencies. For identifying crack parameters, a robust stochastic particle swarm optimization (SPSO) algorithm is used to find the global optimal solution beyond the constructed Kriging model. To improve the accuracy of surrogate model, the finite element (FE) analysis soft ANSYS is employed to deal with the re-meshing problem during surrogate model updating. Specially, a simple method for crack number identification is proposed by finding the maximum probability factor. Finally, numerical simulations and experimental research are performed to assess the effectiveness and noise immunity of this proposed scheme.

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      참고문헌 (Reference)

      1 Cundy, A. L., "Use of response surface metamodels in damage identification of dynamic structures" Virgina Polytechnic Institute and State University 2002

      2 Gudmundson, P., "The dynamic behaviour of slender structures with cross-sectional cracks" 31 (31): 329-345, 1983

      3 Sakata, S., "Structural optimization using Kriging approximation" 192 (192): 923-939, 2003

      4 Faravelli, L., "Structural damage detection and localization by response change diagnosis" 6 (6): 104-115, 2004

      5 Sara Casciati, "Statistical approach to a SHM benchmark problem" 국제구조공학회 6 (6): 17-27, 2010

      6 Casciati, S., "Response surface models to detect and localize distributed cracks in a complex continuum" 136 (136): 1131-1142, 2010

      7 Forrester, A.I.J., "Recent advances in surrogate-based optimization" 45 (45): 50-79, 2009

      8 Gao, Y. H., "Optimization methods based on Kriging surrogate model and their application in injection molding" Dalian University of Technology 2008

      9 Huang, Z., "Optimal design of aeroengine turbine disc based on Kriging surrogate models" 89 (89): 27-37, 2011

      10 Atalla, M.J., "On model updating using neural networks" 12 (12): 135-161, 1998

      1 Cundy, A. L., "Use of response surface metamodels in damage identification of dynamic structures" Virgina Polytechnic Institute and State University 2002

      2 Gudmundson, P., "The dynamic behaviour of slender structures with cross-sectional cracks" 31 (31): 329-345, 1983

      3 Sakata, S., "Structural optimization using Kriging approximation" 192 (192): 923-939, 2003

      4 Faravelli, L., "Structural damage detection and localization by response change diagnosis" 6 (6): 104-115, 2004

      5 Sara Casciati, "Statistical approach to a SHM benchmark problem" 국제구조공학회 6 (6): 17-27, 2010

      6 Casciati, S., "Response surface models to detect and localize distributed cracks in a complex continuum" 136 (136): 1131-1142, 2010

      7 Forrester, A.I.J., "Recent advances in surrogate-based optimization" 45 (45): 50-79, 2009

      8 Gao, Y. H., "Optimization methods based on Kriging surrogate model and their application in injection molding" Dalian University of Technology 2008

      9 Huang, Z., "Optimal design of aeroengine turbine disc based on Kriging surrogate models" 89 (89): 27-37, 2011

      10 Atalla, M.J., "On model updating using neural networks" 12 (12): 135-161, 1998

      11 Sakata, S., "On applying Kriging-based approximate optimization to inaccurate data" 196 (196): 2055-2069, 2007

      12 Lee, J. J., "Neural networks-based damage detection for bridges considering errors in baseline finite element models" 280 (280): 555-578, 2005

      13 Zheng, D.Y., "Natural frequency changes of a cracked Timoshenko beam by modied Fourier series" 246 (246): 297-317, 2001

      14 Zheng, D.Y., "Natural frequencies of a non-uniform beam with multiple cracks via modied Fourier series" 242 (242): 701-717, 2001

      15 Shifrin, E.I., "Natural frequencies of a beam with an arbitrary number of cracks" 222 (222): 409-423, 1999

      16 Zitzler, E., "Multiobjective evolutionary algorithms : a comparative case study and the strength Pareto approach" 3 (3): 257-271, 1999

      17 Lele, S.P., "Modelling of transverse vibration of short beams for crack detection and measurement of crack extension" 257 (257): 559-583, 2002

      18 Simpson, T. W., "Meta-models for computer-based engineering design : survey and recommendations" 17 (17): 129-150, 2001

      19 Qi, H., "Inverse radiation analysis of a onedimensional participating slab by stochastic particle swarm optimizer algorithm" 46 (46): 649-661, 2007

      20 Lee, J., "Identification of multiple cracks using natural frequencies" 320 (320): 482-490, 2009

      21 Lee, J., "Identification of multiple cracks in a beam using vibration amplitudes" 326 (326): 205-212, 2009

      22 Shyy, W., "Global design optimization for aerodynamics and rocket propulsion components" 37 (37): 59-118, 2001

      23 Kisa, M., "Free vibration analysis of multiple open-edge cracked beams by component mode synthesis" 10 (10): 81-92, 2000

      24 Ren, W.X., "Finite element model updating in structural dynamics by using the response surface method" 32 (32): 2455-2465, 2010

      25 Gudmundson, P., "Eigenfrequency changes of structures due to cracks, notches or other geometrical changes" 30 (30): 339-353, 1982

      26 Jones, D. R., "Efficient global optimization of expensive black-box functions" 13 (13): 455-492, 1998

      27 Nandwana, B.P., "Detection of the location and size of a crack in stepped cantilever beams based on measurements of natural frequencies" 203 (203): 435-446, 1997

      28 Patil, D.P., "Detection of multiple cracks using frequency measurements" 70 (70): 1553-1572, 2003

      29 Liang, R.Y., "Detection of cracks in beam structures using measurements of natural frequencies" 328 (328): 505-518, 1991

      30 Sacks, J., "Design and analysis of computer experiments" 4 (4): 409-435, 1989

      31 Fang, S.E., "Damage identification by response surface based model updating using Doptimal design" 25 (25): 717-733, 2011

      32 Dimarogonas, A.D., "Analytical Methods in rotor dynamics" Elsevier Applied Science 1983

      33 Ostachowicz, W.M., "Analysis of the effect of cracks on the natural frequencies of a cantilever beam" 150 (150): 191-201, 1991

      34 Hu, J., "An integrated approach to detection of cracks using vibration characteristics" 330 (330): 841-853, 1993

      35 Sakata, S., "An efficient algorithm for Kriging approximation and optimization with large-scale sampling data" 193 (193): 385-404, 2004

      36 Gao, Y.H., "An effective warpage optimization method in injection molding based on the Kriging model" 37 (37): 953-960, 2008

      37 GaoY. H., "Adaptive geometry and process optimization for injection molding using the Kriging surrogate model trained by numerical simulation" 27 (27): 1-16, 2008

      38 Doebling, S.W., "A summary review of vibration-based damage identification methods" 30 (30): 91-105, 1998

      39 Chaudhari, T.D., "A study of vibration of geometrically segmented beams with and without crack" 37 (37): 761-779, 2000

      40 Lam, H.F., "A probabilistic method for the detection of obstructed cracks of beam-type structures using spatial wavelet transform" 23 (23): 237-245, 2008

      41 Perera, R., "A multistage FE updating procedure for damage identification in large-scale structures based on multiobjective evolutionary optimization" 22 (22): 970-991, 2008

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