Structural damage identification method based on ridge estimation and L-curve
Guo Huiyong1, 2 LUO Le2, Sheng Mao1, Li Zhengliang1
1. School of Civil Engineering, Chongqing University, Chongqing 400045, China2. Key Laboratory of New Technology for Construction of Cities in Mountain Area of the Ministry of Education, Chongqing University, Chongqing 400045, China
In order to solve the reliability problem of structural damage equation, a damage detection method based on ridge estimation and L-curve is presented. First, a structural damage equation based on modal strain energy sensitivity is given out. Then, considering that measurement noise will cause the ill-posed equation problem, ridge estimation is utilized to solve the damage equation and L-curve is utilized to identify optimal ridge parameter. Finally, an improved ridge estimation method is proposed to enhance the identification precision. Simulation results demonstrate that the proposed ridge estimation and L-curve method can detect structural damage locations and extent with good accuracy, the quantification results of the proposed method are obviously better than those of the basic ridge estimation and L-curve method and the truncated singular value decomposition method.