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Identification of Damage in Cantilever Retaining Wall Based on Flexibility-difference Mean Curvature |
LIU Li-biao1,2, ZHANG Yong-xing2, PENG Nian1 |
1. School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, China;
2. School of Civil Engineering, Chongqing University, Chongqing 400045, China |
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Abstract To solve the problem of identification damage in a cantilever retaining wall, a damage identification method for such a wall, based on the flexibility-difference mean curvature, is proposed. The concept of mean curvature in differential geometry is introduced to calculate the flexibility-difference mean curvature. First, the flexibility difference matrix is calculated using the change in the modal flexibility matrix of the before and after damage in the retaining wall, and each column average value of the flexibility difference matrix is used as an element of the modal flexibility-difference column vector. Then, the flexibility-difference mean curvature (FDMC) is obtained using the central difference method, as a new index of damage identification. The result of a numerical simulation of the cantilever retaining wall indicates that (1) the damage location in a retaining wall, single damage or multiple damages, can be detected accurately using FDMC and (2) the unit damage extent can be accurately detected via the relation between the damage extent and the index FDMC with high precision. Further, the effectiveness and advantages of FDMC as compared to the Gauss curvature modal difference are proven.
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Received: 21 September 2013
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Fund:Supported by the National Natural Science Foundation of China (No.51027004, No.50878218);and the Project of Changjiang Scholars and Innovative Research Team in University (No.IRT1045) |
Corresponding Authors:
LIU Li-biao, llb0222@126.com
E-mail: llb0222@126.com
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