A simple method to identify multiple cracks in a beam is presented. The cracks are modeled as rotational springs and the forward problem is solved using the finite element method. The inverse problem is solved iteratively for the locations and sizes of the cracks using the NewtonโRaphson method. Num
Identification of damage using natural frequencies and Markov parameters
โ Scribed by S. Hassiotis
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 179 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0045-7949
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โฆ Synopsis
An optimization algorithm is formulated for the identiยฎcation of damage in structures, when such damage is manifested by localized reductions in the stiness of structural elements. The relationship between the stiness of the structure and its natural frequencies has been presented as a set of underdetermined equations to be solved for the stiness changes due to damage. The objective function that is introduced to solve these equations depends on the measured impulse-response of the damaged system in the form of the Markov parameters of the system. The derived algorithm was used to ยฎnd the magnitude and the location of damage when this occurs in any number of locations in a computer simulated frame.
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