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| Content Provider | Springer Nature Link |
|---|---|
| Author | Caddemi, S. Caliò, I. |
| Copyright Year | 2011 |
| Abstract | The exact closed-form solution for the vibration modes and the eigen-value equation of the Euler–Bernoulli beam-column in the presence of an arbitrary number of concentrated open cracks is proposed. The solution is provided explicitly as functions of four integration constants only, to be determined by the standard boundary conditions. The enforcement of the boundary conditions leads the exact evaluation of the vibration frequencies as well as the buckling load of the beam-column and the corresponding eigen-modes. Furthermore, the presented solution allows a comprehensive evaluation of the influence of the axial load on the modal parameters of the beam. The cracks, which are not subjected to the closing phenomenon, are modelled as a sequence of Dirac’s delta generalised functions in the flexural stiffness. The eigen-mode governing equation is formulated over the entire domain of the beam without enforcement of any further continuity condition. The influence of the axial load on the vibration modes of beam-columns with different number and position of cracks, under different boundary conditions, has been analysed by means of the proposed closed-form expressions. The presented parametric analysis highlights some abrupt changes of the eigen-modes and the corresponding frequencies. |
| Starting Page | 827 |
| Ending Page | 839 |
| Page Count | 13 |
| File Format | |
| ISSN | 09391533 |
| Journal | Archive of Applied Mechanics |
| Volume Number | 82 |
| Issue Number | 6 |
| e-ISSN | 14320681 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2011-11-01 |
| Publisher Place | Berlin/Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Concentrated cracks Euler–Bernoulli beam-column Closed-form solutions Damaged beams Mode shapes Buckling modes Natural frequencies Buckling loads Mechanics Theoretical and Applied Mechanics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mechanical Engineering |
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