A damage detection method using fractal theory
Considering that the damage of civil structures usually occurs at local areas and the fractal dimension can insight the local irregularity in geometry of an object, a damage detection approach based on Katz’s estimation of fractal dimension (FD) measure for beam structures is proposed in this study. The angle of rotation of the curve over the entire sliding window is first expressed by FD. An FD-based index for damage localization (FDIDL) is further proposed using the difference of the angle of rotation between two successive points. The relationship between the angle of rotation and the modal strain energy is established and then an FD-based index for estimation of damage extent is presented, which can predict the damage extent. Numerical studies are carried out using a simple supported beam. The results indicate that distinct fluctuations on FDIDL curve just appear at damage locations. Therefore, the FDIDL can localize the damage regardless of single damage location or multi-damage locations. Furthermore, the results for estimation of damage extent indicate that the proposed FD-based damage index for estimation of damage extent（FDIEDE）can quantify damage extent without realizing the accurate damage length.
fractal theory damage localization damage extent beam structure
Yong Huang Hui Li Jinping Ou
School of Civil Engineering,Harbin Institute of Technology,Harbin,150090,China School of Civil Engineering,Harbin Institute of Technology,Harbin,150090,China;School of Civil and H
国际会议
第六届国际振动工程会议(The 6th International Conference on Vibration Engineering)(ICVE’ 2008)
大连
英文
2008-06-04（万方平台首次上网日期，不代表论文的发表时间）