Skip to main content
SpringerLink
Log in

A combination of damage locating vector method (DLV) and differential evolution algorithm (DE) for structural damage assessment

  • Research Article
  • Published:
Frontiers of Structural and Civil Engineering Aims and scope Submit manuscript

Abstract

In this study, a two-stage method is presented for identifying multiple damage scenarios. In the first stage, the damage locating vector (DLV) method using normalized cumulative energy (nce) is employed for damage localization in structures. In the second stage, the differential evolution algorithm (DE) is used for damage severity of the structures. In addition, in the second stage, a modification of an available objective function is made for handing the issue of symmetric structures. To verify the effectiveness of the present technique, numerical examples of a 72-bar space truss and a one-span steel portal frame are considered. In addition, the effect of noise on the performance of the identification results is also investigated. The numerical results show that the proposed combination gives good assessment of damage location and extent for multiple structural damage cases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Yuen M M F. A numerical study of the eigenparameters of a damaged cantilever. Journal of Sound and Vibration, 1985, 103(3): 301–310

    Article  Google Scholar 

  2. Pandey A K, Biswas M, Samman M M. Damage detection from changes in curvature mode shapes. Journal of Sound and Vibration, 1991, 145(2): 321–332

    Article  Google Scholar 

  3. Salawu O, Williams C. Bridge Assessment Using Forced-Vibration Testing. Journal of Structural Engineering, 1995, 121(2): 161–173

    Article  Google Scholar 

  4. Pandey A K, Biswas M. Damage detection in structures using changes in flexibility. Journal of Sound and Vibration, 1994, 169(1): 3–17

    Article  MATH  Google Scholar 

  5. Pandey A K, Biswas M. Experimental verification of flexibility difference method for locating damage in structures. Journal of Sound and Vibration, 1995, 184(2): 311–328

    Article  Google Scholar 

  6. Stubbs N, Kim J T, Topole K. An efficient and robust algorithm for damage localization in offshore platforms. Proc. ASCE Tenth Struct. Congr., 1992, 543–546

    Google Scholar 

  7. Bernal D. Load vectors for damage localization. Journal of Engineering Mechanics, 2002, 128(1): 7–14

    Article  Google Scholar 

  8. Areias P, Msekh M A, Rabczuk T. Damage and fracture algorithm using the screened Poisson equation and local remeshing. Engineering Fracture Mechanics, 2016, 158: 116–143

    Article  Google Scholar 

  9. Areias P, Rabczuk T, Camanho P P. Initially rigid cohesive laws and fracture based on edge rotations. Computational Mechanics, 2013, 52(4): 931–947

    Article  MATH  Google Scholar 

  10. Areias P, Rabczuk T, Camanho P P. Finite strain fracture of 2D problems with injected anisotropic softening elements. Theoretical and Applied Fracture Mechanics, 2014, 72(0): 50–63

    Article  Google Scholar 

  11. Areias P, Rabczuk T, Dias-da-Costa D. Element-wise fracture algorithm based on rotation of edges. Engineering Fracture Mechanics, 2013, 110(0): 113–137

    Article  MATH  Google Scholar 

  12. Rabczuk T, Areias P M A. A new approach for modelling slip lines in geological materials with cohesive models. International Journal for Numerical and Analytical Methods in Geomechanics, 2006, 30 (11): 1159–1172

    Article  MATH  Google Scholar 

  13. Rabczuk T, Belytschko T. Cracking particles: a simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343

    Article  MATH  Google Scholar 

  14. Rabczuk T, Belytschko T. Application of Particle Methods to Static Fracture of Reinforced Concrete Structures. International Journal of Fracture, 2006, 137(1): 19–49

    Article  MATH  Google Scholar 

  15. Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A geometrically nonlinear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758

    Article  Google Scholar 

  16. Zhu H, Zhuang X, Cai Y, Ma G. High rock slope stability analysis using the enriched meshless shepard and least squares method. International Journal of Computational Methods, 2011, 08(02): 209–228

    Article  MathSciNet  MATH  Google Scholar 

  17. Zhuang X, Augarde C E, Mathisen K M. Fracture modeling using meshless methods and level sets in 3D: Framework and modeling. International Journal for Numerical Methods in Engineering, 2012, 92(11): 969–998

    Article  MathSciNet  MATH  Google Scholar 

  18. Zhuang X, Zhu H, Augarde C. An improved meshless Shepard and least squares method possessing the delta property and requiring no singular weight function. Computational Mechanics, 2014, 53(2): 343–357

    Article  MathSciNet  MATH  Google Scholar 

  19. Nanthakumar S S, Lahmer T, Zhuang X, Zi G, Rabczuk T. Detection of material interfaces using a regularized level set method in piezoelectric structures. Inverse Problems in Science and Engineering, 2016, 24(1): 153–176

    Article  MathSciNet  Google Scholar 

  20. Nanthakumar S S, Lahmer T, Rabczuk T. Detection of multiple flaws in piezoelectric structures using XFEM and level sets. Computer Methods in Applied Mechanics and Engineering, 2014, 275(12): 98–112

    Article  MathSciNet  MATH  Google Scholar 

  21. Nanthakumar S S, Lahmer T, Rabczuk T. Detection of flaws in piezoelectric structures using extended FEM. International Journal for Numerical Methods in Engineering, 2013, 96(6): 373–389

    Article  MathSciNet  MATH  Google Scholar 

  22. Vo-Duy T, Ho-Huu V, Dang-Trung H, Nguyen-Thoi T. A two-step approach for damage detection in laminated composite structures using modal strain energy method and an improved differential evolution algorithm. Composite Structures, 2016, 147: 42–53

    Article  Google Scholar 

  23. Lie S T, Zhang Y, Wang L Q. Damage Detection in Compressed Natural Gas (CNG) Cylinders Based on Auxiliary Mass Induced Frequency Shift. Experimental Mechanics, 2015, 55(3): 487–498

    Article  Google Scholar 

  24. Quek S T, Tran V A, Hou X Y, Duan W H. Structural damage detection using enhanced damage locating vector method with limited wireless sensors. Journal of Sound and Vibration, 2009, 328 (4–5): 411–427

    Article  Google Scholar 

  25. Cawley P, Adams R D. The location of defects in structures from measurements of natural frequencies. Journal of Strain Analysis for Engineering Design, 1979, 14(2): 49–57

    Article  Google Scholar 

  26. Messina A, Williams E J, Contursi T. Structural damage detection by a sensitivity and statistical-based method. Journal of Sound and Vibration, 1998, 216(5): 791–808

    Article  Google Scholar 

  27. Mares C, Surace C. An application of genetic algorithms to identify damage in elastic structures. Journal of Sound and Vibration, 1996, 195(2): 195–215

    Article  Google Scholar 

  28. Koh B H, Dyke S J. Structural health monitoring for flexible bridge structures using correlation and sensitivity of modal data. Computers & Structures, 2007, 85(3–4): 117–130

    Article  Google Scholar 

  29. Mohan S C, Maiti D K, Maity D. Structural damage assessment using FRF employing particle swarm optimization. Applied Mathematics and Computation, 2013, 219(20): 10387–10400

    Article  MathSciNet  MATH  Google Scholar 

  30. Kaveh A, Javadi S M, Maniat M. Damage Assessment via Modal Data with a Mixed Particle Swarm Strategy, Ray Optimizer, and Harmony Search. Asian Journal of Civil Engineering, 2014, 15(1): 95–106

    Google Scholar 

  31. Kaveh A, Maniat M. Damage detection based on MCSS and PSO using modal data. Smart Struct Syst. Techno, 2015, 15(5): 1253–1270

    Article  Google Scholar 

  32. Kaveh A, Zolghadr A. An improved CSS for damage detection of truss structures using changes in natural frequencies and mode shapes. Advances in Engineering Software, 2015, 80: 93–100

    Article  Google Scholar 

  33. Kaveh A, Talatahari S. A novel heuristic optimization method: charged system search. Acta Mechanica, 2010, 213(3): 267–289

    Article  MATH  Google Scholar 

  34. Moslem K, Nafaspour R. Structural damage detection by genetic algorithms. AIAA Journal, 2002, 40(7): 1395–1401

    Article  Google Scholar 

  35. Au F T K, Cheng Y S, Tham L G, Bai Z Z. Structural damage detection based on a micro-genetic algorithm using incomplete and noisy modal test data. Journal of Sound and Vibration, 2003, 259(5): 1081–1094

    Article  Google Scholar 

  36. Guo H Y, Li Z L. A two-stage method to identify structural damage sites and extents by using evidence theory and micro-search genetic algorithm. Mechanical Systems and Signal Processing, 2009, 23(3): 769–782

    Article  Google Scholar 

  37. Seyedpoor SM. A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization. International Journal of Non-linear Mechanics, 2012, 47(1): 1–8

    Article  MathSciNet  Google Scholar 

  38. Fan W, Qiao P. Vibration-based Damage Identification Methods: A Review and Comparative Study. Structural Health Monitoring, 2011, 10(1): 83–111

    Article  Google Scholar 

  39. Hao H, Xia Y. Vibration-based Damage Detection of Structures by Genetic Algorithm. Journal of Computing in Civil Engineering, 2002, 16(3): 222–229

    Article  MathSciNet  Google Scholar 

  40. Storn R, Price K. Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 1997, 11(4): 341–359

    Article  MathSciNet  MATH  Google Scholar 

  41. Price K, Storn R M, Lampinen J A. Differential evolution: a practical approach to global optimization. Springer, 2006

    MATH  Google Scholar 

  42. Civicioglu P, Besdok E. A conceptual comparison of the Cuckoosearch, particle swarm optimization, differential evolution and artificial bee colony algorithms. Artificial Intelligence Review, 2013, 39(4): 315–346

    Article  Google Scholar 

  43. Hegerty B, Hung C, Kasprak K. A Comparative Study on Differential Evolution and Genetic Algorithms for Some Combinatorial Problems. Mexican International Conference on Artificial Intelligence, 2009

    Google Scholar 

  44. Gao Y, Spencer B F, Ruiz-Sandoval M. Distributed computing strategy for structural health monitoring. Structural Control and Health Monitoring, 2006, 13(1): 488–507

    Article  Google Scholar 

  45. Bernal D, Gunes B. Flexibility Based Approach for Damage Characterization: Benchmark Application. Journal of Engineering Mechanics, 2003, 130(1): 61–70

    Article  Google Scholar 

  46. Gao Y, Spencer B Jr, Bernal D. Experimental Verification of the Flexibility-Based Damage Locating Vector Method. Journal of Engineering Mechanics, 2007, 133(10): 1043–1049

    Article  Google Scholar 

  47. Qian J, Ji X, Xu Y. Two-stage damage diagnosis approach for steel braced space frame structures. Engineering Structures, 2007, 29 (12): 3277–3292

    Article  Google Scholar 

  48. Vo-Duy T, Nguyen-Minh N, Dang-Trung H, Tran-Viet A, Nguyen- Thoi T. Damage assessment of laminated composite beam structures using damage locating vector (DLV) method. Frontiers of Structural and Civil Engineering, 2015, 9(4): 457–465

    Article  Google Scholar 

  49. Storn R. On the Usage of Differential Evolution for Function Optimization. in NAFIPS’96, IEEE, 1996, 519–523

    Google Scholar 

  50. Kaveh A, Zolghadr A. Truss optimization with natural frequency constraints using a hybridized CSS-BBBC algorithm with trap recognition capability. Computers & Structures, 2012, 102–10314–27

    Google Scholar 

  51. Xiang J, Liang M, He Y. Experimental investigation of frequencybased multi-damage detection for beams using support vector regression. Engineering Fracture Mechanics, 2014, 131: 257–268

    Article  Google Scholar 

  52. Shi Z, Law S, Zhang L. Structural damage detection from modal strain energy change. Journal of Engineering Mechanics, 2000, 126 (12): 1216–1223

    Article  Google Scholar 

  53. Fu Y, Liu J, Wei Z, Lu Z. A two-step approach for damage Identification in plates. Journal of Vibration and Control, 2014

    Google Scholar 

  54. Wei Z T, Liu J K, Lu Z R. Damage identification in plates based on the ratio of modal strain energy change and sensitivity analysis. Inverse Problems in Science and Engineering, 2016, 24(2): 265–283

    Article  Google Scholar 

  55. Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31

    Article  Google Scholar 

Download references

Acknowledgments

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.02-2017.08.

Author information

Authors and Affiliations

  1. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Hochiminh City, Vietnam

    T. Nguyen-Thoi, N. Nguyen-Minh, T. Vo-Duy & V. Ho-Huu

  2. Division of Construction Computation, Institute for Computational Science, Ton Duc Thang University, Hochiminh City, Vietnam

    A. Tran-Viet

  3. Faculty of Civil Engineering, Ton Duc Thang University, Hochiminh City, Vietnam

    T. Nguyen-Thoi, A. Tran-Viet, N. Nguyen-Minh, T. Vo-Duy & V. Ho-Huu

Authors
  1. T. Nguyen-Thoi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Tran-Viet
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Nguyen-Minh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. T. Vo-Duy
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. V. Ho-Huu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. Nguyen-Thoi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nguyen-Thoi, T., Tran-Viet, A., Nguyen-Minh, N. et al. A combination of damage locating vector method (DLV) and differential evolution algorithm (DE) for structural damage assessment. Front. Struct. Civ. Eng. 12, 92–108 (2018). https://doi.org/10.1007/s11709-016-0379-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11709-016-0379-1

Keywords

Search

Navigation