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

[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.