Abstract
The forward and inverse problems in the detection of cracks in cantilever beam are studied. The forward problem is to determine the first three natural frequencies of the cracked beam to give the location and size of the crack, and the inverse problem is to determine the location and size of the crack to give the first few natural frequencies of the cracked beam. Based on wavelet finite element methods, the model of a cracked cantilever beam with rectangular cross-section as an example is constructed and the first three natural frequencies are obtained. The crack is modeled as a rotational spring. A fast algorithm is presented to solve the inverse problem. Then the graphs of spring stiffness versus crack location are plotted for each natural frequency. The point of intersection of the curves gives the location of the crack. The numerical example indicates that current method is effective and accurate. This study provides a new method for the prognosis and diagnosis of cracks in structures.
| Original language | English |
|---|---|
| Pages (from-to) | 159-164 |
| Number of pages | 6 |
| Journal | Zhendong Gongcheng Xuebao/Journal of Vibration Engineering |
| Volume | 17 |
| Issue number | 2 |
| State | Published - Jun 2004 |
Keywords
- Beam
- Crack
- Finite element methods
- Identification
- Wavelet