1. School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, China;
2. School of Civil Engineering, Chongqing University, Chongqing 400045, China
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
摘要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.
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.
基金资助: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)
通讯作者:
LIU Li-biao, llb0222@126.com
E-mail: llb0222@126.com
引用本文:
刘礼标, 张永兴, 彭念. 基于柔度差平均曲率的悬臂挡墙损伤识别[J]. Journal of Highway and Transportation Research and Development, 2014, 8(1): 34-39.
LIU Li-biao, ZHANG Yong-xing, PENG Nian. Identification of Damage in Cantilever Retaining Wall Based on Flexibility-difference Mean Curvature. Journal of Highway and Transportation Research and Development, 2014, 8(1): 34-39.
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2014, Vol. 8 
