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Structural damage detection using incomplete modal data and incomplete static response

  • Research Paper
  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

This paper presents novel approaches to structural damage detection and estimation using incomplete modal data and incomplete static response of a damaged structure. The proposed methods use modal data or static displacement to formulate objective functions. Damage location and severity in structural elements are determined using optimization of the objective functions by the simulated annealing algorithm. The presented methods are applied to a simply supported beam and a three-story plane frame with and without noise in modal data and containing several damages. Moreover, the performance of the proposed methods has been verified through using experimental modal data of a mass-stiffness system. The results indicate that the proposed methods perform quite well using different objective functions in spite of the incomplete data.

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References

  • Bertsimas, D. and Tsitsiklis, J. (1993). “Simulated annealing.” Statistical Science, Vol. 8, No. 1, pp. 10–15.

    Article  Google Scholar 

  • Carvalho, J., Datta, B. N., Gupta, A., and Lagadapati, M. (2007). “A direct method for model updating with incomplete measured data and without spurious modes.” Mechanical System and Signal Processing, Vol. 21, No. 7, pp. 2715–2731.

    Article  Google Scholar 

  • Cerny, V. (1985). “A thermodynamic approach to the traveling salesman problem: An efficient simulation.” J Optim Theory Appl, Vol. 45, No. 1, pp. 41–51.

    Article  MathSciNet  MATH  Google Scholar 

  • Chang P. C. and Chen S. H. (2011). “Integrating dominance properties with genetic algorithms for parallel machine scheduling problems with setup times.” Applied Soft Computing, Vol. 11, No. 1, pp. 1263–1274.

    Article  Google Scholar 

  • Chen, H. (2008). “Application of regularization methods to damage detection in large scale plane frame structures using incomplete noisy modal data.” Engineering Structures, Vol. 30, No. 11, pp. 3219–3227.

    Article  Google Scholar 

  • Chen, C. L. and Chen, C. L. (2009). “A bottleneck-based heuristic for minimizing makespan in a flexible flow line with unrelated parallel machines.” Computers & Operations Research, Vol. 36, No. 11, pp. 3073–3081.

    Article  MATH  Google Scholar 

  • Chen, X. Z., Zhu H. P., and Chen, C. Y. (2005). “Structural damage identification using test static data based on grey system theory.” Journal of Zhejiang University SCI, Vol. 6, No. 8, pp. 790–796.

    Article  Google Scholar 

  • Ching, J., Muto, M. and Beck, J. L. (2006). “Structural model updating and health monitoring with incomplete modal data using gibbs sampler.” Computer-Aided and Infrastructure Engineering, Vol. 21, No. 4, pp. 242–257.

    Article  Google Scholar 

  • Davis, L. (1987). Genetic algorithms and simulated annealing, Pitman Publishing, London.

    MATH  Google Scholar 

  • Duan, Z., Yan, G., Ou, J., and Spencer, B. F. (2007). “Damage detection in ambient vibration using proportional flexibility matrix with incomplete measured DOFs.” Structural Control and Health Monitoring, Vol. 14, No. 2, pp. 186–196.

    Article  Google Scholar 

  • Duffey, T. A., Doebling, S. W., Farrar, C. R., Baker, W. E., and Rhee, W. H. (2001). “Vibration-based damage identification in structures exhibiting axial and torsional response.” Journal of Vibration and Acoustic, Vol. 123, No. 1, pp. 84–92.

    Article  Google Scholar 

  • Geman, S. and Geman, D. (1984). “Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images.” IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 6, No. 6, pp. 721–741.

    Article  MATH  Google Scholar 

  • Ghodrati Amiri, G., Seyed Razaghi, S. A., and Bagheri, A. (2011), “Damage detection in plates based on pattern search and genetic algorithms.” Smart Structures and Systems, Vol. 7, No. 2, pp. 117–132.

    Google Scholar 

  • Guyan, R. J. (1965). “Reduction of stiffness and mass matrices.” AIAA Journal, Vol. 3, No. 2, pp. 380–387.

    Article  Google Scholar 

  • Hajela, P. and Soeiro, F. J. (1990). “Structural damage detection based on static and modal analysis.” AIAA Journal, Vol. 28, No. 6, pp. 1110–1115.

    Article  Google Scholar 

  • He, R. S. and Hwang, S. F. (2007). “Damage detection by a hybrid realparameter genetic algorithm under the assistance of grey relation analysis.” Engineering Application of Artificial Intelligence, Vol. 20, No. 7, pp. 980–992.

    Article  Google Scholar 

  • Huajun, L., Fushun, L., and James, H. S. (2008). “Employing incomplete complex modes for model updating and damage detection of damped structures.” Sci China Ser E-Tech Sci., Vol. 51, No. 12, pp. 2254–2268.

    Article  Google Scholar 

  • Jenkins, C. H., Kjerengtroen, L., and Oestensen, H. (1997). “Sensitivity of parameter change in structural damage detection.” Shock and Vibration, Vol. 10, No. 4, pp. 135–142.

    Google Scholar 

  • Kim, J. T., Ryu, Y. S., Cho, H. M., and Stubbs, N. (2003). “Damage identification in beam-type structures: Frequency-based method vs mode-shape-based method.” Engineering Structures, Vol. 25, No. 1, pp. 57–67.

    Article  Google Scholar 

  • Kirkpatrick, S., Gelett, C. D., and Vecchi, M. P. (1983). “Optimization by simulated annealing.” Science, Vol. 220, No. 4598, pp. 671–680.

    Article  MathSciNet  MATH  Google Scholar 

  • Law, S. S., Chan, T. H. T., and Wu, D. (2001). “Efficient numerical model for the damage detection of large scale.” Engineering Structures, Vol. 23, No. 7, pp. 436–452.

    Article  Google Scholar 

  • Levin, R. I. and Lieven, N. (1998). “Dynamic finite element model updating using simulated annealing and genetic algorithms.” Mechanical Systems and Signal Processing, Vol. 12, No. 1, pp. 91–120.

    Article  Google Scholar 

  • Li, H., Wang, J., and Hu, S. J. (2008). “Using incomplete modal data for damage detection in offshore jacket structures.” Ocean Engineering, Vol. 35, Nos. 17–18, pp. 1793–1799.

    Article  Google Scholar 

  • MATLAB (2008). Matlab User Manual, Mathwork Inc., Lowell, MA, U.S.A.

    Google Scholar 

  • Puoza, J. C., Amponsah, S. K., and Agyeman, E. (2011). “Simulated annealing in telecommunication network planning.” Research Journal of Information Technology, Vol. 3, No. 1, pp. 6–13.

    Google Scholar 

  • Rahai, A., Bakhtiari-Nejad, F., and Esfandiari, A. (2007). “Damage assessment of structure using incomplete measured mode shapes.” Structural Control and Health Monitoring, Vol. 14, No. 5, pp. 808–829.

    Article  Google Scholar 

  • Smith, K. I. (2006). A study of simulated annealing techniques for multiobjective optimization, PhD Thesis in Computer Science, University of Exeter.

  • Wang, X., Hu, N., Funkunaga, H., and Yao, Z. H. (2001). “Structural damage identification using static test data and change in frequency.” Engineering Structures, Vol. 23, No. 9, pp. 610–621.

    Article  Google Scholar 

  • Wong, K. P., Meikle, S. R., Feng, D. and Fulham, M. J. (2002). “Estimation of input function and kinetic parameters using simulated annealing: application in a flow model.” IEEE Transactions on Nuclear Science, Vol. 49, No. 3, pp. 707–713.

    Article  Google Scholar 

  • Yuen, K., Beck, J. L., and Katafygiotis, L. S. (2006). “Efficient model updating and health monitoring methodology using incomplete modal data without mode matching.” Structural Control and Health Monitoring, Vol. 13, No. 1, pp. 91–107.

    Article  Google Scholar 

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Authors and Affiliations

  1. Dept. of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, 14515-775, Iran

    Seyed Sina Kourehli

  2. Dept. of Civil and Environmental Engineering, University of Pittsburgh, Pittsburgh, PA, 15261, USA

    Abdollah Bagheri

  3. Center of Excellence for Fundamental Studies in Structural Engineering, School of Civil Engineering, Iran University of Science & Technology, Tehran, 16846-13114, Iran

    Gholamreza Ghodrati Amiri

  4. Structural Department, International Institute of Earthquake Engineering and Seismology, Tehran, 19395-3913, Iran

    Mohsen Ghafory-Ashtiany

Authors
  1. Seyed Sina Kourehli
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  2. Abdollah Bagheri
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  3. Gholamreza Ghodrati Amiri
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  4. Mohsen Ghafory-Ashtiany
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Correspondence to Seyed Sina Kourehli.

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Kourehli, S.S., Bagheri, A., Amiri, G.G. et al. Structural damage detection using incomplete modal data and incomplete static response. KSCE J Civ Eng 17, 216–223 (2013). https://doi.org/10.1007/s12205-012-1864-2

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  • DOI: https://doi.org/10.1007/s12205-012-1864-2

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