Structural damage identification based on modal frequency strain energy assurance criterion and flexibility using enhanced Moth-Flame optimization

Abstract The development of structural damage identification based on dynamic characteristics has been suffering from certain issues, such as low computational efficiency and lack of high-sensitivity damage indicators. In addition, the application of damage-sensitive objective function and efficient optimization technique control the success of damage identification as two key factors. To this regard, a damage identification framework based on modal frequency strain energy assurance criterion (MFSEAC), modal flexibility and enhanced moth-flame optimization is presented in this paper. To evaluate the performance of the proposed method, three benchmark functions are firstly used to validate the optimization performance of enhanced moth-flame optimization. The results indicate that enhanced moth-flame optimization can achieve better optimization results compared to moth-flame optimization, particle swarm optimization and cuckoo search. Three numerical examples, a 3-span concrete continuous beam considering gradient temperature variations, a 40-story shear frame under random noise and a 31-bar truss structure under the double influences of random noise and temperatures, are then practiced as comparisons by frequency change ratio (FCR) and modal assurance criterion (MAC), modal strain energy (MSE) and modal flexibility, in order to evaluate the damage identification accurateness of the proposed objective function. Finally, two laboratory examples, a simply supported steel beam and a 3-story shear steel frame, are applied to further verify the proposed method. According to the damage identification results, the proposed method features good environmental noise robustness, which boosts the efficiency of symmetric location damage identification.

[1]  S. Law,et al.  Structural Damage Detection from Modal Strain Energy Change , 2000 .

[2]  Huajun Li,et al.  Cross-Modal Strain Energy Method for Estimating Damage Severity , 2006 .

[3]  S. R. Hoseini Vaez,et al.  Damage Detection of Thin Plates Using GA-PSO Algorithm Based on Modal Data , 2017 .

[4]  Mingqiang Xu,et al.  Modal Strain Energy-based Structural Damage Identification: A Review and Comparative Study , 2018, Structural Engineering International.

[5]  Zhongrong Lu,et al.  Structural damage detection using improved particle swarm optimization , 2018 .

[6]  Nguyen-Thoi Trung,et al.  Efficiency of Jaya algorithm for solving the optimization-based structural damage identification problem based on a hybrid objective function , 2017 .

[7]  S. M. Seyedpoor,et al.  Structural Damage Identification Using an Adaptive Multi-stage Optimization Method Based on a Modified Particle Swarm Algorithm , 2013, Journal of Optimization Theory and Applications.

[8]  Hong Hao,et al.  Statistical damage identification of structures with frequency changes , 2003 .

[9]  Babak Moaveni,et al.  Environmental effects on the identified natural frequencies of the Dowling Hall Footbridge , 2011 .

[10]  Qw Yang,et al.  A new damage identification method based on structural flexibility disassembly , 2011 .

[11]  S. M. Seyedpoor A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization , 2012 .

[12]  Randall J. Allemang,et al.  THE MODAL ASSURANCE CRITERION–TWENTY YEARS OF USE AND ABUSE , 2003 .

[13]  Z. Xiang,et al.  Damage detection by mode shape squares extracted from a passing vehicle , 2012 .

[14]  Leonardo Tavares Stutz,et al.  The Differential Evolution method applied to continuum damage identification via flexibility matrix , 2015 .

[15]  Cheng Li,et al.  A Global Artificial Fish Swarm Algorithm for Structural Damage Detection , 2014 .

[16]  Hong-ping Zhu,et al.  Vibration-Based Structural Damage Identification under Varying Temperature Effects , 2018 .

[17]  Jun Li,et al.  Impedance resonant frequency sensitivity based structural damage identification with sparse regularization: experimental studies , 2018, Smart Materials and Structures.

[18]  Shun Weng,et al.  L1 regularization approach to structural damage detection using frequency data , 2015 .

[19]  Cecilia Surace,et al.  The use of frequency ratios to diagnose structural damage in varying environmental conditions , 2020 .

[20]  Fabrizio Vestroni,et al.  Use of Frequency Change for Damage Identification in Reinforced Concrete Beams , 2003 .

[21]  James M. W. Brownjohn,et al.  Long-term monitoring and data analysis of the Tamar Bridge , 2013 .

[22]  Xin Yan Lin,et al.  Damage Orientation Method Based on the Modal Kinetic Energy , 2012 .

[23]  Yl L. Xu,et al.  Damage detection of mono-coupled periodic structures based on sensitivity analysis of modal parameters , 2005 .

[24]  Guido De Roeck,et al.  One-year monitoring of the Z24-Bridge : environmental effects versus damage events , 2001 .

[25]  Norris Stubbs,et al.  Damage identification in beam-type structures: frequency-based method vs mode-shape-based method , 2003 .

[26]  Minshui Huang,et al.  Structural Damage Identification Under Temperature Variations Based on PSO–CS Hybrid Algorithm , 2019, International Journal of Structural Stability and Dynamics.

[27]  Manolis Georgioudakis,et al.  A Combined Modal Correlation Criterion for Structural Damage Identification with Noisy Modal Data , 2018 .

[28]  You-Lin Xu,et al.  Temperature effect on vibration properties of civil structures: a literature review and case studies , 2012 .

[29]  Xiaoqin Zhang,et al.  Enhanced Moth-flame optimizer with mutation strategy for global optimization , 2019, Inf. Sci..

[30]  Guido De Roeck,et al.  The Local Flexibility method for Vibration-based damage localization and quantification , 2008 .

[31]  Trung Nguyen-Thoi,et al.  Structural damage assessment with incomplete and noisy modal data using model reduction technique and LAPO algorithm , 2019, Structure and Infrastructure Engineering.

[32]  Yongzhi Lei,et al.  Damage identification of bridge structure considering temperature variations based on particle swarm optimization - cuckoo search algorithm , 2019, Advances in Structural Engineering.

[33]  Zhengqi Lu,et al.  Structural damage identification based on cuckoo search algorithm , 2015 .

[34]  Wang-Ji Yan,et al.  Damage Detection Method Based on Element Modal Strain Energy Sensitivity , 2010 .

[35]  Amir K. Ghorbani-Tanha,et al.  Damage detection via closed-form sensitivity matrix of modal kinetic energy change ratio , 2017 .

[36]  Chen Yang,et al.  Damage detection using modal frequency curve and squared residual wavelet coefficients-based damage indicator , 2017 .

[37]  Seyed Mohammad Mirjalili,et al.  Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm , 2015, Knowl. Based Syst..

[38]  Trung Nguyen-Thoi,et al.  A FE model updating technique based on SAP2000-OAPI and enhanced SOS algorithm for damage assessment of full-scale structures , 2020, Appl. Soft Comput..

[39]  H. F. Zhou,et al.  Modal Flexibility Analysis of Cable‐Stayed Ting Kau Bridge for Damage Identification , 2008, Comput. Aided Civ. Infrastructure Eng..

[40]  Maria Q. Feng,et al.  Effect of vehicle weight on natural frequencies of bridges measured from traffic-induced vibration , 2003 .

[41]  T. Nguyen-Thoi,et al.  A two-step approach for damage detection in laminated composite structures using modal strain energy method and an improved differential evolution algorithm , 2016 .

[42]  V. Ho-Huu,et al.  Damage assessment in plate-like structures using a two-stage method based on modal strain energy change and Jaya algorithm , 2019 .

[43]  Ling Yu,et al.  A new structural damage detection strategy of hybrid PSO with Monte Carlo simulations and experimental verifications , 2018, Measurement.

[44]  G. Ghodrati Amiri,et al.  Structural damage detection using sparse sensors installation by optimization procedure based on the modal flexibility matrix , 2016 .

[45]  Gaëtan Kerschen,et al.  Structural damage diagnosis under varying environmental conditions—Part I: A linear analysis , 2005 .

[46]  Marian Ralbovsky,et al.  Frequency changes in frequency-based damage identification , 2010 .

[47]  Ling Zhang,et al.  Structural Damage Identification Based on the Modal Data Change , 2012 .

[48]  Manolis Papadrakakis,et al.  Multiobjective Optimization of Space Structures under Static and Seismic Loading Conditions , 2005, Evolutionary Multiobjective Optimization.