Damage Detection of Structures Using Modal Strain Energy with Guyan Reduction Method

Document Type : Regular Paper

Authors

1 Civil Engineering Department, Faculty of Engineering, University of Mohaghegh Ardabili

2 Faculty of Engineering Department of Civil Engineering

3 Civil Engineering Department, Shomal University

Abstract

The subject of structural health monitoring and damage identification of structures at the earliest possible stage has been a noteworthy topic for researchers in the last years. Modal strain energy (MSE) based index is one of the efficient methods which are commonly used for detecting damage in structures. It is also more effective and economical to employ some methods for reducing the degrees of freedom in large-scale structures having a large number of degrees of freedom. The purpose of this study is to identify structural damage via an index based on MSE and reconstructed mode shapes. The Guyan reduction method (GRM) is utilized here to reconstruct the mode shapes. Therefore, in the first step by employing GRM, mode shapes in slave degrees of freedom are estimated by those of master degrees of freedom. In the second step, the modal strain energy based index (MSEBI) is used to find the location of damaged elements. In order to assess the efficiency of the method, two standard examples are considered. Damage is identified with considering complete mode shapes and reconstructed mode shapes, and the results are compared together. The outcomes show that the combination of MSE and GRM can be useful for the structural damage detection, when considering the noise.

Keywords

Main Subjects

References

[1] Naderpour, H., Fakharian, P. (2016). “A synthesis of peak picking method and wavelet packet transform for structural modal identification.” KSCE Journal of Civil Engineering, 20(7), 2859–2867.
[2] Sohn H, Farrar CR, Hemez FM, Czarnecki JJ. (2002). “A review of structural health monitoring literature.” Los Alamos National Laboratory, 1996-2001.
[3] Hu H, Wu C. (2009). “Development of scanning damage index for the damage detection of plate structures using modal strain energy method.” Mechanical Systems and Signal Processing, 23, 274-287.
[4] Hoon, S., Farrar, C. R., Hemez, F., Czarnecki. (2003). “Review of structural health monitoring literature”, Los Alamos National Laboratory Report. 1996-2001.
[5] S. Khatir, I. Belaidi, R. Serra, M. A. Wahab, and T. Khatir. (2015). “Damage detection and localization in composite beam structures based on vibration analysis.” Mechanics, 21, 472-479.
[6] Khatir, S., Dekemele, K., Loccufier, M., Khatir, T., & Abdel Wahab, M. (2018). “Crack identification method in beam-like structures using changes in experimentally measured frequencies and Particle Swarm Optimization.” Comptes Rendus Mécanique, 346(2), 110–120.
[7] Khatir S, Belaidi I, Khatir T, Hamrani A, Zhou Y-L, Abdel Wahab M. (2017). “Multiple damage detection in composite beams using particle swarm optimization and genetic algorithm.” MECHANIKA . Publishing House Technologija, 23(4), 514–521.
[8] Khatir, A., Tehami, M., Khatir, S., Abdel Wahab, M. (2016). “Multiple damage detection and localization in beam-like and complex structures using co-ordinate modal assurance criterion combined with firefly and genetic algorithms.” Journal of Vibroengineering, 18(8), 5063–5073.
[9] S. Tiachacht, A. Bouazzouni, S. Khatir, M.A. Wahab, A. Behtani, R. Capozucca. (2018). “Damage assessment in structures using combination of a modified Cornwell indicator and genetic algorithm, Eng. Struct, 177, 421-430.
[10] R. Zenzen, I. Belaidi, S. Khatir, M.A. Wahab. (2018). “A damage identification technique for beam-like and truss structures based on FRF and Bat Algorithm.” Compt. Rendus Mec, 346 (12), 1253-1266.
[11] Gomes, G. F., Mendez, Y. A. D., da Silva Lopes Alexandrino, P., da Cunha, S. S., & Ancelotti, A. C. (2019). “A Review of Vibration Based Inverse Methods for Damage Detection and Identification in Mechanical Structures Using Optimization Algorithms and ANN.” Archives of Computational Methods in Engineering, 26, 883-897.
[12] Jahangir, H., Esfahani M.R. (2012) “Structural Damage Identification Based on Modal Data and Wavelet Analysis.” 3rd National Conference on Earthquake & Structure., October 17-18, 2012, Kerman, Iran
[13] Shi ZY, Law SS, Zhang, LM. (2000). “Structural damage detection from modal strain energy change.” Journal of Engineering Mechanics, 126, 1216-1223.
[14] Liu, F., Li, H., Li, W., Wang, B. (2014), “Experimental study of improved modal strain energy method for damage localization in jacket-type offshore wind turbines”, Renewable Energy, 72, 174-181.
[15] Entezami A, Shariatmadar H. (2014). “Damage detection in structural systems by improved sensitivity of modal strain energy and Tikhonov regularization method.” International Journal of Dynamics and Control, 2(4), 509-520.
[16] Pradeep, K.R., B.N. Rao, S.M. Srinivasan and K. Balasubramaniam. (2014). “Modal strain energy change ratio for damage identification in honeycomb sandwich structures.” Can. J. Basic Applied Sci, 2, 10-24.
[17] Esfandiari, A. (2014). “Structural model updating using incomplete transfer function of strain data.” Journal of Sound and Vibration, 333(16), 3657-3670.
[18] Seyedpoor, SM, Yazdanpanah O. (2014). “An efficient indicator for structural damage localization using the change of strain energy based on static noisy data.” Applied Mathematical Modelling, 38, 2661-2672.
[19] Moradipour, P., Chan, Tommy H.T., Gallage, C. (2015). “An improved modal strain energy method for structural damage detection, 2D simulation.” Struct. Eng. Mech., 54(1), 105-119.
[20] Shan, D., Li, Q., Khan, I., & Zhou, X. (2015). “A novel finite element model updating method based on substructure and response surface mode.” Engineering Structures, 103, 147-156.
[21] Seyedi SR, Keyhani A, Jahangir H (2015) “An Energy-Based Damage Detection Algorithm Based on Modal Data.” In: 7th International Conference on Seismology & Earthquake Engineering. International Institute of Earthquake Engineering and Seismology (IIEES), pp 335–336
[22] Yazdanpanah, O., Seyedpoor, S.M., & Bengar, H. Akbarzadeh. (2015). “A new damage detection indicator for beams based on mode shape data.” Structural Engineering and Mechanics, 53(4), 725–744.
[23] Yan WJ, Huang TL, Ren WX. (2016). “Damage detection method based on element modal strain energy sensitivity.” Advances in Structural Engineering, 13, 1075-1088.
[24] Li Y, Wang S, Zhang M, Zheng C. (2016). “An improved modal strain energy method for damage detection in offshore platform structures.” Journal of Marine Science and Application, 15, 182-192.
[25] Wu S, Zhou J, Rui S, Fei Q. (2017). “Reformulation of elemental modal strain energy method based on strain modes for structural damage detection.” Advances in Structural Engineering 20, 896–905.
[26] Yazdanpanah, O., Izadifard, R. A., & Dehestani, M. (2018). “Static data based damage localization of beam-column structures considering axial load.” Mechanics of Advanced Materials and Structures, 1–18.
[27] Gomes, G. F., de Almeida, F. A., da Silva Lopes Alexandrino, P., da Cunha, S. S., de Sousa, B. S., & Ancelotti, A. C. (2018). “A multi objective sensor placement optimization for SHM systems considering Fisher information matrix and mode shape interpolation.” Engineering with Computers, 35(2), 519-535.
[28] Khatir, S., Benaiessa, B., Capozucca, R., Wahab, M. A. (2018). “Damage detection in CFRP composite beams based on vibration analysis using proper orthogonal decomposition method with radial basis functions and cuckoo search algorithm. Composite Structures, 187, 344–353.
[29] Khatir, S., Wahab, M. A. (2019). “Fast simulations for solving fracture mechanics inverse problems using POD-RBF XIGA and Jaya algorithm. Engineering Fracture Mechanics. 205,285-300.
[30] Khatir, S., Wahab, M. A., Djilali, B., & Khatir, T. (2019). “Structural health monitoring using modal strain energy damage indicator coupled with teaching-learning-based optimization algorithm and isogoemetric analysis. Journal of Sound and Vibration, 448, 230-246.
[31] Gomes, G. F., de Almeida, F. A., Junqueira, D. M., da Cunha, S. S., & Ancelotti, A. C. (2019). “Optimized damage identification in CFRP plates by reduced mode shapes and GA-ANN methods.” Engineering Structures, 181, 111–123.
[32] Daneshvar, M., Gharighoran, A., Zareei, S., Karamodin, A. (2020). “Damage Detection of Bridge by Rayleigh-Ritz Method.” Journal of Rehabilitation in Civil Engineering, 8(1), 149-162.
[33] Arefi, S. L., Gholizad, A. and Seyedpoor, S.M., (2020). “A modified index for damage detection of structures using improved reduction system method.” Smart Structures and Systems, 25(1), 1-25.
[34] Arefi, S. L., Gholizad, A. (2020). “Damage Detection of Truss Structures by Reduction of Degrees of Freedom Using the SEREP Method.” The Baltic Journal of Road and Bridge Engineering, 15(1), 1-22.
[35] Seyedpoor, SM. (2012). “A two stage method for structural damage detection using modal strain energy based index and particle swarm optimization.” International Journal of Non-Linear Mechanics 47, 1-8.
[36] Guyan RJ. (1985). “Reduction of stiffness and mass matrices.” AIAA Journal 3, 380-380.
[37] Nouri Shirazi MR, Mollamahmoudi H, Seyedpoor, SM. (2014). “Structural damage identification using an adaptive multi-stage optimization method based on a modified particle swarm algorithm.” Journal of Optimization Theory and Applications 160, 1009–1019.
[38] Dinh-Cong, D., Vo-Duy, T., Ho-Huu, V., Dang-Trung, H., Nguyen-Thoi, T. (2017), “An efficient multi-stage optimization approach for damage detection in plate structures”. Adv Eng Softw. 112, 76–87.

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History

  • Receive Date: 12 February 2020
  • Revise Date: 18 April 2020
  • Accept Date: 23 May 2020

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