Detecting damage location and severity in a double layer grid using modal strain energy method and data fusion

Document Type : Original Article

Authors

1 Babol Noshirvani University of Technology, Babol, Iran

2 Faculty of Civil Engineering, Babol Noshirvani University of Technology, Babol, Iran

3 Department of Civil Engineering, Payame Noor University (PNU), Tehran, Iran

Abstract

Changes in modal strain energy of elements before and after damage is a robust damage detection index. However, in structures like double layer grids which have large number of elements, this method has some problems. First, In large structures this method needs more mode shapes to detect damage through modal strain energy method which in practice is difficult to determine. Second, this method introduce some healthy elements as damaged element. To overcome these problems, in this paper a two stage damage detection technique based on modal strain energy method is presented for detecting damage in double layer grids. First, the Modal Strain Energy Based Index (MSEBI) for each mode shape is determined. Then a data fusion technique based on Bayesian theory is used to combine MSEBI values obtained from each mode shape to find damaged elements. Then Charged System Search (CSS) optimization method which is a powerful optimization method is employed to optimize an objective function based on natural frequency to determine damage severity of damaged elements. To demonstrate the performance of the proposed method, a large double layer grid with 1536 elements and different single and multiple damage cases is considered. Numerical results show that the proposed method can successfully find damaged elements and their severities using only few first numbers of mode shapes and frequencies.

Keywords

Main Subjects

References

[1]        Arekar VA, Patil YD, Patil HS. Development of a new connector for double layer space grids. Perspect. Sci. [Internet]. 2016;8:525–528. Available from: http://linkinghub.elsevier.com/retrieve/pii/S2213020916301495.
[2]        Cawley P, Adams RD. The location of defects in structures from measurments of the natural frequencies. J. Strain Anal. 1979;2:49–57.
[3]        Salawu O. S. Detection of structural damage through changes in frequency: a review. Eng. Struct. 1997;19:718–723.
[4]        Ding ZH, Yao RZ, Huang JL, et al. Structural damage detection based on residual force vector and imperialist competitive algorithm. Struct. Eng. Mech. 2017;62:709–717.
[5]        Wei Z, Liu J, Lu Z. Structural damage detection using improved particle swarm optimization. Inverse Probl. Sci. Eng. 2017;1–19.
[6]        Pedram M, Esfandiari A, Khedmati MR. Frequency domain damage detection of plate and shell structures by finite element model updating. Inverse Probl. Sci. Eng. 2018;26.
[7]        Carrasco CJ, Osegueda RA, Ferregut CM, et al. Damage localization in a space truss model using modal strain energy. Proc. 1997 15th Int. Modal Anal. Conf. Part 2 (of 2). 1997;2:1786–1792.
[8]        Shi ZY, Law SS, Zhang LM. Structural damage localization from modal strain energy change. J. Sound Vib. 1998;218:825–844.
[9]        Srinivas V, Ramanjaneyulu K, Jeyasehar CA. Multi-stage approach for structural damage identification using modal strain energy and evolutionary optimization techniques. Struct. Heal. Monit. An Int. J. [Internet]. 2011;10:219–230. Available from: http://journals.sagepub.com/doi/10.1177/1475921710373291.
[10]      Ma S-L, Jiang S-F, Weng L-Q. Two-Stage Damage Identification Based on Modal Strain Energy and Revised Particle Swarm Optimization. Int. J. Struct. Stab. Dyn. [Internet]. 2014;14:1440005. Available from: http://www.worldscientific.com/doi/abs/10.1142/S0219455414400057.
[11]      Wei ZT, Liu JK, Lu ZR. Damage identification in plates based on the ratio of modal strain energy change and sensitivity analysis. Inverse Probl. Sci. Eng. 2016;24:265–283.
[12]      Seyedpoor SM. A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization. Int. J. Non. Linear. Mech. [Internet]. 2012;47:1–8. Available from: http://www.sciencedirect.com/science/article/pii/S0020746211001818%5Cnhttp://linkinghub.elsevier.com/retrieve/pii/S0020746211001818.
[13]      Torkzadeh P, Goodarzi Y, Salajegheh E. A TWO-STAGE DAMAGE DETECTION METHOD FOR LARGE-SCALE STRUCTURES BY KINETIC AND MODAL STRAIN ENERGIES USING HEURISTIC PARTICLE SWARM OPTIMIZATION. Int. J. Optim. Civ. Eng. 2013;3:465–482.
[14]      Guo HY, Li ZL. Two-stage multi-damage detection method based on energy balance equation. J. Nondestruct. Eval. 2011;30:186–200.
[15]      Grande E, Imbimbo M. A multi-stage data-fusion procedure for damage detection of linear systems based on modal strain energy. J. Civ. Struct. Heal. Monit. 2014;4:107–118.
[16]      Guo HY, Li ZL. Structural damage identification based on Bayesian theory and improved immune genetic algorithm. Expert Syst. Appl. 2012;39:6426–6434.
[17]      Kaveh A, Talatahari S. A novel heuristic optimization method: Charged system search. Acta Mech. 2010;213:267–289.
[18]      Kaveh A, Maniat M. Damage detection in skeletal structures based on charged system search optimization using incomplete modal data. Int. J. Civ. Eng. 2014;12:291–298.
[19]      Kaveh  a., Zolghadr A. An improved CSS for damage detection of truss structures using changes in natural frequencies and mode shapes. Adv. Eng. Softw. 2014;Article in.
[20]      Tabrizian Z, Ghodrati Amiri G, Hossein Ali Beigy M. Charged system search algorithm utilized for structural damage detection. Shock Vib. 2014;2014.
[21]      Shi ZY, Law SS, Zhang LM. Structural Damage Detection from Modal Strain Energy Change. J. Eng. Mech. [Internet]. 2002;128:377. Available from: http://scitation.aip.org/journals/doc/JENMDT-ft/vol_128/iss_3/377_1.html.
Journal of Structural and Construction Engineering
Volume 7, Issue 3 - Serial Number 34
September 2020
Pages 35-54

Files

History

  • Receive Date: 12 April 2018
  • Revise Date: 11 August 2018
  • Accept Date: 02 October 2018

Share

How to cite

Statistics