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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

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Front. Struct. Civ. Eng.    2015, Vol. 9 Issue (4) : 457-465    https://doi.org/10.1007/s11709-015-0303-0
RESEARCH ARTICLE
Damage assessment of laminated composite beam structures using damage locating vector (DLV) method
T. VO-DUY1,3,N. NGUYEN-MINH1,3,H. DANG-TRUNG1,3,A. TRAN-VIET2,3,T. NGUYEN-THOI()
1. Division of Computational Mathematics and Engineering (CME), Institute for Computational Science (INCOS), Ton Duc Thang University, Hochiminh City, Vietnam
2. Division of Construction Computation (DCC), Institute for Computational Science (INCOS), Ton Duc Thang University, Hochiminh City, Vietnam
3. Faculty of Civil Engineering, Ton Duc Thang University, Hochiminh City, Vietnam
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Abstract

In this paper, the damage locating vector (DLV) method using normalized cumulative energy (nce) is employed to locate multiple damage sites in laminated composite beam structures. Numerical simulations of two laminated composite beams are employed to investigate several damage scenarios in which the degradation of elements is modeled by the reduction in the longitudinal Young’s modulus and transverse Young’s modulus of beam layers. The results show that the DLV method gives good performance for this kind of structure.
Keywords normalized cumulative energy      structural health monitoring (SHM)      damage locating vector method (DLV)      laminated composite beam structure     
Corresponding Author(s): T. NGUYEN-THOI   
Online First Date: 19 November 2015    Issue Date: 26 November 2015
 Cite this article:   
T. VO-DUY,N. NGUYEN-MINH,H. DANG-TRUNG, et al. Damage assessment of laminated composite beam structures using damage locating vector (DLV) method[J]. Front. Struct. Civ. Eng., 2015, 9(4): 457-465.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-015-0303-0
https://academic.hep.com.cn/fsce/EN/Y2015/V9/I4/457
Fig.1  A general laminated composite beam
parameter/ unit value
length (L) / m 0.1
thickness (h) / m 0.01
width (b) / m 0.01
Young’s modulus (E1) / GPa 40
Young’s modulus (E2) / GPa 1
mass density ( ρ ) / (kg·m-3) 1000
Poisson ratio ( ν 12 ) 0.25
shear modulus (G12) / GPa 0.6 E2
shear modulus (G23) / GPa 0.5 E2
shear modulus (G13) / GPa 0.6 E2
Tab.1  The material and geometric parameters of the asymmetric cross-fly (0°/90°) cantilevered beam
case 1 case 2 case 3
element number 4 10 4 10
damage ratio of layer 1 0.3 0.3 0.3 0.5
damage ratio of layer 2 0.0 0.5 0.5 0.3
Tab.2  Three cases of damage for the asymmetric cross-fly (0°/90°) cantilevered beam
mode intact (FSDT) [40] intact (present) case 1 (present) case 2 (present) case 3 (present)
1 2.530 2.529 2.485 2.518 2.436
2 – 13.745 13.694 13.425 13.118
3 – 32.990 32.768 32.304 31.616
4 – 55.181 54.898 53.890 53.200
5 – 69.360 67.946 68.771 66.581
6 – 80.105 79.571 79.403 77.448
7 – 105.645 104.777 102.797 100.260
8 – 131.678 131.197 129.162 127.631
9 – 158.095 157.546 155.908 153.990
10 – 167.346 165.551 165.741 159.544
11 – 190.370 189.440 183.028 178.927
12 – 213.166 209.599 210.635 203.505
13 – 225.368 225.178 219.816 216.769
14 – 243.271 242.690 242.572 238.932
15 – 256.758 254.701 250.206 246.294
Tab.3  The first 15 non-dimensional angular frequencies ω ¯ = ( ω L 2 / h ) ρ / E 2 of the intact and damaged asymmetric cross-fly (0°/90°) cantilevered beam
Fig.2  Sketch of a laminated composite beam. (a) Cross-section of an asymmetric cross-fly (0°/90°) beam; (b) cross-section of a symmetric cross-fly (0°/90°/0°) beam
Fig.3  The nce values of all elements of the asymmetric cross-fly (0°/90°) cantilevered beam for three cases of damage
Fig.4  The nce value of all elements of the asymmetric cross-fly (0°/90°) cantilevered beam for case 3 respected to the cases of 5, 10, 15 and all modes
case 1 case 2 case 3
element number 4 10 4 10
damage ratio of layer 1 0.0 0.3 0.5 0.0
damage ratio of layer 2 0.3 0.0 0.0 0.3
damage ratio of layer 3 0.0 0.5 0.0 0.5
Tab.4  Three cases of damage for the symmetric cross-fly (0°/90°/0°) cantilevered beam
mode intact (FOBT) [40] intact (present) case 1 (present) case 2 (present) case 3 (present)
1 5.479 5.478 5.472 5.445 5.322
2 − 22.315 22.235 21.932 21.822
3 − 46.656 46.653 45.870 45.919
4 − 70.534 70.395 68.656 68.439
5 − 81.654 81.637 80.420 78.898
6 − 95.151 94.638 94.682 93.537
7 − 120.047 119.614 118.641 117.869
8 − 146.039 145.963 143.984 143.816
9 − 172.867 172.689 171.978 171.756
10 − 200.970 200.107 195.670 194.423
11 − 229.095 227.709 228.318 224.898
12 − 245.749 245.734 236.851 237.576
13 − 253.132 252.924 252.469 252.044
14 − 268.441 267.898 264.028 263.071
15 − 294.982 294.938 289.459 289.792
Tab.5  The first 15 non-dimensional angular frequencies ω ‾ = ( ω L 2 / h ) ρ / E 2 of the intact and damaged symmetric cross-fly (0°/90°/0°) cantilevered beam
Fig.5  The nce values of all elements of the symmetric cross-fly (0°/90°/0°) cantilevered beam for three cases of damage
Fig.6  The nce value of all elements of the symmetric cross-fly (0°/90°/0°) cantilevered beam for case 3 respected to the cases of 5, 10, 15 and all modes
1 Naderi  M, Khonsari  M. Real-time fatigue life monitoring based on thermodynamic entropy. Wiley Online Library, 2011, vol. 10
2 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
3 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
4 Salawu  O, Williams  C. Bridge assessment using forced-vibration testing. Journal of Structural Engineering, 1995, 121(2): 161–173
5 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
6 Bernal  D. Load vectors for damage localization. Journal of Engineering Mechanics, 2002, 128(1): 7–14
7 Chen  X, Yu  L. Flexibility-based objective functions for constrained optimization problems on structural damage detection. Advanced Materials Research, 2011, 186: 383–387
8 Pandey  A K, Biswas  M. Damage detection in structures using changes in flexibility. Journal of Sound and Vibration, 1994, 169(1): 3–17
9 Nobahari  M, Seyedpoor  S M. An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure. Structural Engineering and Mechanics, 2013, 46(2): 231–244
10 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
11 Seyedpoor  S M. 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
12 Doebling  S W, Farrar  C R, Prime  M B, Shevitz  D W. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review. Los Alamos National Laboratory, 1996
13 Gunes  B, Gunes  O. Structural health monitoring and damage assessment Part I: A critical review of approaches and methods. International Journal of Physical Sciences, 2013, 8(34): 1694–1702
14 Markou  M, Singh  S. Novelty detection: a review—part 2: Neural network based approaches. Signal Processing, 2003, 83(12): 2499–2521
15 Salawu  O S. Detection of structural damage through changes in frequency: A review. Engineering Structures, 1997, 19(9): 718–723
16 Trendafilova  I, Palazzetti  R, Zucchelli  A. Damage assessment based on general signal correlation. Application for delamination diagnosis in composite structures. European Journal of Mechanics. A, Solids, 2015, 49(0): 197–204
17 Minak  G, Palazzetti  R, Trendafilova  I, Zucchelli  A. Localization of a delamination and estimation of its length in a composite laminate beam by the VSHM and pattern recognition methods. Mechanics of Composite Materials, 2010, 46(4): 387–394
18 Lee  B T, Sun  C T, Liu  D. An assessment of damping measurement in the evaluation of integrity of composite beams. Journal of Reinforced Plastics and Composites, 1987, 6(2): 114–125
19 Dixit  A, Hanagud  S. Comments on: Curvature mode shape-based damage assessment of carbon/epoxy composite beams. Journal of Intelligent Material Systems and Structures, 2010, 21(6): 659–663
20 Moreno-García  P, Araújo dos Santos  J V, Lopes  H. A new technique to optimize the use of mode shape derivatives to localize damage in laminated composite plates. Composite Structures, 2014, 108(1): 548–554
21 Bernal  D, Gunes  B. Flexibility based approach for damage characterization: Benchmark application. Journal of Engineering Mechanics, 2003, 130(1): 61–70
22 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
23 Qian  J, Ji  X, Xu  Y. Two-stage damage diagnosis approach for steel braced space frame structures. Engineering Structures, 2007, 29(12): 3277–3292
24 Sim  S H, Jang  S A, Spencer  B F Jr, Song  J. Reliability-based evaluation of the performance of the damage locating vector method. Probabilistic Engineering Mechanics, 2008, 23(4): 489–495
25 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): 411–427
26 Reddy  J N. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press, 2004
27 Amiri  F, Millán  D, Shen  Y, Rabczuk  T, Arroyo  M. Phase-field modeling of fracture in linear thin shells. Theoretical and Applied Fracture Mechanics, 2014, 69: 102–109
28 Areias  P, Rabczuk  T, Dias-da-Costa  D. Element-wise fracture algorithm based on rotation of edges. Engineering Fracture Mechanics, 2013, 110: 113–137
29 Budarapu  P R, Gracie  R, Yang  S W, Zhuang  X, Rabczuk  T. Efficient coarse graining in multiscale modeling of fracture. Theoretical and Applied Fracture Mechanics, 2014, 69: 126–143
30 Rabczuk  T, Belytschko  T. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29−30): 2777–2799
31 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
32 Nguyen-Thoi  T, Rabczuk  T, Lam-Phat  T, Ho-Huu  V, Phung-Van  P. Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3). Theoretical and Applied Fracture Mechanics, 2014, 72(0): 150–163
33 Liu  G R, Chen  L, Nguyen-Thoi  T, Zeng  K Y, Zhang  G Y. A novel singular node-based smoothed finite element method (NS-FEM) for upper bound solutions of fracture problems. International Journal for Numerical Methods in Engineering, 2010, 83(11): 1466–1497
34 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
https://doi.org/10.1002/nme.4365
35 Friswell  M I, Penny  J E T. Crack modeling for structural health monitoring. Structural Health Monitoring, 2002, 1(2): 139–148
36 Sinha  J, Friswell  M, Edwards  S. Simplified models for the location of cracks in beam structures using measured vibration data. Journal of Sound and Vibration, 2002, 251(1): 13–38
37 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: 98–112
38 Wu  W, Zhu  H, Zhuang  X, Ma  G, Cai  Y. A multi-shell cover algorithm for contact detection in the three dimensional discontinuous deformation analysis. Theoretical and Applied Fracture Mechanics, 2014, 72: 136–149
39 Della  C N, Shu  D. Vibration of delaminated composite laminates: A review. Applied Mechanics Reviews, 2007, 60(1): 1–20
40 Khdeir  A A, Reddy  J N. Free vibration of cross-ply laminated beams with arbitrary boundary conditions. International Journal of Engineering Science, 1994, 32(12): 1971–1980
41 Vu-Bac  N, Rafiee  R, Zhuang  X, Lahmer  T, Rabczuk  T. Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters. Composites. Part B, Engineering, 2015, 68: 446–464
42 Vu-Bac  N, Silani  M, Lahmer  T, Zhuang  X, Rabczuk  T. A unified framework for stochastic predictions of mechanical properties of polymeric nanocomposites. Computational Materials Science, 2015, 96, Part B: 520–535
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