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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2015, Vol. 16 Issue (2): 105-116    DOI: 10.1631/jzus.A1400163
Civil and Mechanical Engineering     
An in-time damage identification approach based on the Kalman filter and energy equilibrium theory
Xing-huai Huang, Shirley Dyke, Zhao-dong Xu
Key Laboratory of C&PC Structures of the Ministry of Education, Southeast University, Nanjing 210096, China; School of Civil Engineering, Purdue University, West Lafayette IN 47907, USA
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Abstract  In research on damage identification, conventional methods usually face difficulties in converging globally and rapidly. Therefore, a fast in-time damage identification approach based on the Kalman filter and energy equilibrium theory is proposed to obtain the structural stiffness, find the locations of damage, and quantify its intensity. The proposed approach establishes a relationship between the structural stiffness and acceleration response by means of energy equilibrium theory. After importing the structural energy into the Kalman filter algorithm, unknown parameters of the structure can be obtained by comparing the predicted energy and the measured energy in each time step. Numerical verification on a highway sign support truss with and without damage indicates that the updated Young’s modulus can converge to the true value rapidly, even under the effects of external noise excitation. In addition, the calculation time taken for each step of the approach is considerably shorter than the sampling period (1/256 s), which means that, this approach can be implemented in-time and on-line.

Key words： In-time model updating      Kalman filter      Energy equilibrium theory      Damage identification      Anti-noise capacity      Structure health monitoring     
Received: 05 June 2014      Published: 03 February 2015
CLC:  TU192  
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Xing-huai Huang
Shirley Dyke
Zhao-dong Xu
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Xing-huai Huang, Shirley Dyke, Zhao-dong Xu. An in-time damage identification approach based on the Kalman filter and energy equilibrium theory. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2015, 16(2): 105-116.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A1400163     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2015/V16/I2/105

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