CorV CVAC. CorV TU317. 1

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1 30 8 JOURNAL OF VIBRATION AND SHOCK Vol. 30 No TU A Structural damage detection method based on correlation function analysis of vibration measurement data LEI Jia-yan 1 2 YAO Qian-feng 1 LEI Ying 2 LIU Chao 2 1. School of Civil Engineering Beijing Jiaotong University Beiiing China 2. Department of Civil Engineering Xiamen University Xiamen Fujian China Abstract A structural damage identification technique based on correlation function analysis of vibration measurement data was proposed. An 8-storey steel shear building model was chosen as example in the case verification. The results demonstrate that accident magnitude change of correlation function can be used to locate the damage by comparing the shape changes between damaged and undamaged samples. The value of CVAC is effective to determinate whether the damage has happened or not and it can be used as a reference method even for on-line structural health monitoring. The parameter K defined to detect damage severity corresponds to the theoretical damage level in different cases. Key words damage identification correlation function stochastic vibration vibration test CorV CVAC CorV AA04Z

2 222 4 ~ 9 R R K 1. 2 CVAC CVAC 6 1 n-1 R i R * i CVAC = 7 n-1 R i 2 n-1 R * i 2 R i R * i 3 CVAC 0 1 CVAC = 1 CVAC = x 1 x 2 τ = E x 1 t x 2 t + τ = x 1 x 2 p x 1 x 2 dx 1 dx 2 1 CVAC - 1 τ = lim T T T x 1 t x 2 t + τ dt R R 1 Δt R 1 = R * /max R 8 T N = T Δt + 1 i i + 1 R * 1 k = 1 N-k x N 1 i x 2 i + k K K = abs r * i i +1 - r i i +1 /r i i +1 9 k = N 3 r i i + 1 r * i i + 1 K r l l +1 = xl x l+1 τ = xl x l+1 k K n 1. 3 R = r 1 2 r 2 3 r n-1 n 5 3 R = r k 1 r k 2 r k n k r 0 1

x z i t v i +1 t + τ + v i t x z i +1 t + τ + v i t v i +1 t + τ = E x z i t x z i +1 t + τ + E x z i t v i +1 t + τ + E v i t x z i +1 t + τ + E v i t v i +1 t + τ = E x

3 i i + 1 x i x i + 1 x z i x z i + 1 v i v i σ i σ i + 1 τ = E x i t x i +1 t + τ = E x z i t + v i t x z i +1 t + τ + v i +1 t + τ = E x z i t x z i +1 t + τ + x z i t v i +1 t + τ + v i t x z i +1 t + τ + v i t v i +1 t + τ = E x z i t x z i +1 t + τ + E x z i t v i +1 t + τ + E v i t x z i +1 t + τ + E v i t v i +1 t + τ = E x z i t x z i +1 t + τ + E v i t v i +1 t + τ = E x z i t x z i +1 t + τ + E v i t E v i +1 t + τ = E x z i t x z i +1 t + τ Fig. 2 Comparison of signals between tested and preprocessed CVAC mm 250 mm 200 mm CVAC 1 CVAC CVAC 1 RIGOL DG PCB 100 Hz 50% 4 25% 2 3 R 4 a 4 b 25% % Fig. 1 Test model 3

4 224 1 CVAC Tab. 1 CVAC values of structure CVAC CVAC CVAC CVAC K Tab. 2 K values of structure with different damages K1 1 /% K2 2 /% K3 3 /% K4 4 /% K5 5 /% K /% K K K1 ~ K5 1 ~ 5 1% 5. 9% 5% 3 CVAC K 236

5 % % % % 1 Ni Y Q Hua X G. Fan K Q et al. Correlating modal properties with temperature using long-term monitoring data 2 and support vector machine technique J. Engineering Structures Ding Y L Li A Q Liu T. Environmental variability study on the measured responses of runyang cable-stayed bridge using % % wavelet packet analysis J. Science in China Series E Technological Sciences Cornwell P Farrar C R Doebling S W et al. Environmental variability of modal properties J. Experimental Techniques - RMS Zhang Q W Fan L C Yuan W C. Traffic-induced variability in dynamic properties of cable-stayed bridge J. Earthquake % % Engineering and Structural Dynamics Ni Y Q Ko J M Hua X G et al. Variability of measured - modal frequencies of a cable-stayed bridge under different wind conditions J. Smart Structures and Systems % % 6. 5 J J min Li A Q Miao C Q. Design and study on the structural health monitoring system for the Runyang Yangtse River bridge 9 C / /Proceedings of the 2nd International Conference on Structural Health Monitoring of Intelligent Infrastructure. Shenzhen China Macdonald J H G. Identification of the dynamic behaviour of a cable-stayed bridge from full-scale testing during and after construction D. University of Bristol J 欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁 224 J J J Ren W X Zong Z H. Output only modal parameter identification of civil engineering structures J. International Journal of Structural Engineering and Mechanics M. J JamesIII G H Came T G Lauffer J P. The natural excitation technique NExT for modal parameter extraction from operating structures J. Modal Analysis The International Journal of Analytical and Experimental Modal Analysis J Lei J Y Yao Q F Lei Y. Damage identification method based on correlation function of structural responses to operational excitation A. / / Proceedings of international conference on health monitoring of structure material and environment C. Nanjing 2007.

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