The dynamics of a cracked, simply supported uniform beam is treated for either bending or axial vibrations. The crack is simulated by an equivalent spring, connecting the two segments of the beam. Analysis of this approximate model results in algebraic equations which relate the natural frequencies
ON-LINE IDENTIFICATION AND LOCATION OF ROTOR CRACKS
β Scribed by S. Ratan; H. Baruh; J. Rodriguez
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 455 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
A new method is proposed to detect and locate a crack in a rotor system. A vector quantity ''residue'' is defined using the measured vibration response of the rotor system and the modeled system matrices. It is shown that the non-zero elements of ''residue'' correspond to the nodes encompassing the element carrying the crack. Although the derivation of ''residue'' is based on the linearized model of the rotor system, the response due to the non-linearity caused by the breathing of the crack is shown to cause only a small amount of contamination. To investigate the robustness of the proposed method a sensitivity analysis is conducted. It is found that the method is capable of detecting a crack of as small a depth as 4% of the shaft diameter. The effects of light damping and the other of finite element discretization on the detection results are also investigated, and are found to be small.
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