Identification of multiple cracks in a beam using natural frequencies
โ Scribed by Jinhee Lee
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 210 KB
- Volume
- 320
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
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. Numerical examples are provided for the identification of triple cracks in a cantilever beam as well as double cracks. The detected crack locations and sizes are in excellent agreement with the actual ones.
๐ SIMILAR VOLUMES
A new method is presented in this paper for computing the natural frequencies of a non-uniform beam with an arbitrary number of transverse open cracks. The essence of this new method lies in the use of a kind of modi"ed Fourier series (MFS) which is specially developed for a beam with transverse ope
In this paper, we describe a numerical method for determining the location of a crack in a beam of varying depth when the lowest three natural frequencies of the cracked beam are known. The crack is modelled as a rotational spring and graphs of spring sti!ness versus crack location are plotted for e
In this article a new technique is proposed for calculating natural frequencies of a vibrating beam with an arbitrary ยฎnite number of transverse open cracks. The main feature of this method is related to decreasing the dimension of the matrix involved in the calculation, so that reduced computation