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Vibrations of cables with bending stiffness by an asymptotic approach
| Content Provider | Semantic Scholar |
|---|---|
| Author | Canor, T. Denoël, Vincent |
| Copyright Year | 2013 |
| Abstract | Vibrations of cables with a small bending stiffness concerns many engineering applications such as the fatigue assessment of stay cables. With the finite element (FE) method, the analysis can be performed with nonlinear truss elements, but bending effects are not taken into account. Otherwise, beam elements can be used, but the smallness of the bending stiffness may lead to numerical instability and mediocre results in boundary regions. In this context, the paper presents an alternative method to calculate the time evolution of the profile of bending moments in boundary layers of cables, avoiding heavy FE analysis. The developments combine the theory of vibrations of extensible rods with asymptotic methods. The equations are decoupled between the slow dynamics of the boundary regions and the fast dynamics of the span. Then, a composite solution is constructed by means of a matched asymptotic procedure. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://orbi.ulg.ac.be/bitstream/2268/154908/1/SEMC2013_CanorT.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Asymptote Bending - Changing basic body position Bending stiffness CABLE Coupling (computer programming) Decompression Sickness Fatigue Finite element method Instability Nonlinear system Numerical stability Rod Photoreceptors Span Distance Trusses Vibration - physical agent anatomical layer |
| Content Type | Text |
| Resource Type | Article |
