基于正则化扩展卡尔曼滤波的结构损伤识别方法

In this paper, Extended Kalman filter (EKF) with Tikhonov regularization is proposed to identify structural damages. In the proposed algorithm, the state vector of EKF consists of the initial values of modal coordinates and damage parameters of structural elements. Since the introduction of Tikhonov regularization improves the solution of ill-posed inverse problems, the EKF with Tikhonov regularization has good robust and accuracy. Numerical simulation of a simple supported beam show that the proposed method can effectively restrain the noise of the input signal and accurately identify the single or multiple damages with the unknown initial structural state.