In order to solve a structural multi-damage identification problem, a two-stage damage identification method based on evidence fusion and improved particle swarm optimization (IPSO) is presented. First, structural modal strain energy and frequency are considered as two kinds of information sources. Then, evidence fusion theory is utilized to integrate the two information sources and preliminarily identify structural damage locations. After the damaged locations are determined, particle swarm optimization (PSO) is used to identify the extent of structural damage. Considering that the search efficiency of a basic PSO is still not very good, some improved strategies are presented, such as mutation position iteration formula, micro-search of an elitist, two convergence conditions, etc. The simulation results demonstrate that the proposed two-stage method can estimate the damage locations and extent with good accuracy.
AllemangRJBrownDL (1982) A correlation coefficient for modal vector analysis1st International Modal Analysis ConferenceOrlando, Florida, 8--10 November110–116.
2.
BegambreOLaierJE (2009) A hybrid particle swarm optimization-simplex algorithm (PSOS) for structural damage identification. Advances in Engineering Software40: 883–891.
3.
CawleyPAdamsRD (1979) The location of defects in structures from measurements of natural frequencies. Journal of Strain Analysis14: 49–57.
4.
ChaudhariTDMaitiSK (2000) A study of vibration of geometrically segmented beams with and without crack. International Journal of Solids and Structures37: 760–779.
5.
ChinchalkarS (2001) Determination of crack location in beams using natural frequencies. Journal of Sound and Vibration247: 417–429.
6.
DuWJXieWX (1999) Evidence combination methods in D-S evidence theory. Systems Engineering and Electronics21: 92–94.
7.
GuoHZhangL (2006) A weighted balance evidence theory for structural multiple damage localization. Computer Methods in Applied Mechanics and Engineering195: 6225–6238.
8.
Hassan R, Cohanim B, Weck O, et al. (2005) A comparison of particle swarm optimization and the genetic algorithm. In: 1st AIAA Multidisciplinary Design Optimization Specialist Conference, No. AIAA-2005-1897, Austin, TX, 18–21 April, pp. 1–13.
9.
HuHWuC (2009) Development of scanning damage index for the damage detection of plate structures using modal strain energy method. Mechanical Systems and Signal Processing23: 274–287.
10.
HuHWangBTLeeCH (2006) Damage detection of surface cracks in composite laminates using modal analysis and strain energy method. Composite Structures74: 399–405.
11.
KennedyJEberhartR (1995) Particle swarm optimization4. IEEE International Conference on Neural NetworksPiscataway, NJ, 27 November–1 December1942–1948.
12.
LawSSShiZYZhangLM (1998) Structural damage detection from incomplete and noisy modal data. ASCE Journal of Engineering Mechanics124(11): 1280–1288.
13.
LiHYangHHuSLJ (2006) Modal strain energy decomposition method for damage localization in 3D frame structures. Journal of Engineering Mechanics132: 941–951.
14.
LiuHQuWLYuanRZ (2004) Structural damage detection method based on the theory of dissipation ratio of modal strain energy. Journal of Vibration and Shock23: 118–121. [in Chinese].
15.
LuhGCLinCYLinYS (2001) A binary particle swarm optimization for continuum structural topology optimization. Applied Soft Computing11: 2833–2844.
16.
PerezREBehdinanK (2007) Particle swarm approach for structural design optimization. Computers and Structures85: 1579–1588.
17.
PindeyAKBiswasM (1995) Experimental verification of flexibility difference method for locating damage in structures. Journal of Sound and Vibration184: 311–328.
18.
RenWXRoeckGD (2002) Structural damage identification using modal data I: simulation verification. Journal of Structural Engineering128: 87–95.
19.
SalawuOS (1997) Detection of structural damage through changes in frequency: a review. Engineering Structures19(9): 718–723.
20.
SazonovEKlinkhachornP (2005) Optimal spatial sampling interval for damage detection by curvature or strain energy mode shapes. Journal of Sound and Vibration285: 783–801.
21.
ShaferG (1976) A Mathematical Theory of Evidence, Princeton, NJ: Princeton University Press.
22.
ShiZYLawSSZhangLM (1998) Structural damage localization from modal strain energy change. Journal of Sound and Vibration218: 825–844.
23.
ShiZYLawSSZhangLM (2000a) Damage localization by directly using incomplete mode shapes. ASCE Journal of Engineering Mechanics126(6): 656–660.
24.
ShiZYLawSSZhangLM (2000b) Optimum sensors placement for structural damage detection. ASCE Journal of Engineering Mechanics126(11): 1173–1179.
25.
StubbsNKimJTFarrarCR (1995) Field verification of a nondestructive damage localization and severity estimation algorithmProceedings of IMACConnecticut, USASociety of Experimental Mechanics, 13–16 February, pp. 210–218.
26.
VenkatappaSG (1997) Damage detection using vibration measurement, Master of Science Thesis, West Virginia University.
27.
WanZZhuHYuL (2006) Structural damage detection based on an improved PSO algorithm. Engineering Mechanics23(sup 1): 73–78. [in Chinese].
