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
IDENTIFICATION OF CRACK LOCATION IN VIBRATING BEAMS FROM CHANGES IN NODE POSITIONS
β Scribed by M. DILENA; A. MORASSI
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 309 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
β¦ Synopsis
It is known that the e!ect of a single crack in an axially vibrating thin rod is to cause the nodes of the mode shapes move toward the crack. This paper is an analytical/experimental investigation of the analogous problem for a thin beam in bending vibration. The monotonicity property linking changes in node position and crack location does not hold in the bending case. The analysis of the direct problem, however, shows that the direction by which nodal points move may be useful for predicting damage location. Analytical results agree well with experimental tests performed on cracked steel beams.
π SIMILAR VOLUMES
This paper deals with the crack identification procedure for free-free uniform beams in flexural vibrations. The model of a transverse crack includes an equivalent linear spring, connecting two segments of a beam. By measuring the changes of natural frequencies in flexural vibrations it is possible
A new simpli"ed approach to modelling cracks in beams undergoing transverse vibration is presented. The modelling approach uses Euler}Bernoulli beam elements with small modi"cations to the local #exibility in the vicinity of cracks. This crack model is then used to estimate the crack locations and s