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Structural Engineering and Mechanics
  Volume 46, Number 4, May25 2013, pages 459-486

Statistical damage classification method based on wavelet packet analysis
S.S. Law, X.Q. Zhu, Y.J. Tian, X.Y. Li and S.Q. Wu

    A novel damage classification method based on wavelet packet transform and statistical analysis is developed in this study for structural health monitoring. The response signal of a structure under an impact load is normalized and then decomposed into wavelet packet components. Energies of these wavelet packet components are then calculated to obtain the energy distribution. Statistical similarity comparison based on an F-test is used to classify the structure from changes in the wavelet packet energy distribution. A statistical indicator is developed to describe the damage extent of the structure. This approach is applied to the test results from simply supported reinforced concrete beams in the laboratory. Cases with single and two damages are created from static loading, and accelerations of the structure from under impact loads are analyzed. Results show that the method can be used with no reference baseline measurement and model for the damage monitoring and assessment of the structure with alarms at a specified significance level.
Key Words
    time domain; damage; inverse problem; wavelet packet; F-test; reinforced concrete; statistics; variance; skewness; kurtosis
S.S. Law : 1Department of Civil and Environmental Engineering, Hong Kong Polytechnic University,Hunghom, Kowloon, Hong Kong, P.R. China
X.Q. Zhu : School of Computing, Engineering and Mathematics, University of Western Sydney, NSW 2751, Australia
Y.J. Tian : School of Civil Engineering, Beijing Jiaotong University, P.R. China
X.Y. Li : Department of Mechanics and Civil Engineering, Jinan University, P.R. China
S.Q. Wu : Department of Engineering Mechanics, Southeast University,P.R. China

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