Abstract
In this paper, a method for the construction of a cracked beam finite element is presented. The additional flexibility due to the cracks is identified from three-dimensional finite element calculations taking into account the unilateral contact conditions between the crack lips. Based on this flexibility, which is distributed over the entire length of the element, a cracked beam finite element stiffness matrix is deduced. Considerable gain in computing efforts is reached compared to the nodal representation of the cracked section when dealing with the numerical integration of differential equations in structural dynamics. The stability analysis of a cracked shaft is carried out using the Floquet theory.
| Original language | English |
|---|---|
| Pages (from-to) | 893-910 |
| Number of pages | 18 |
| Journal | Journal of Mechanics of Materials and Structures |
| Volume | 3 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 May 2008 |
| Externally published | Yes |
Keywords
- Beam
- Breathing crack
- Finite element
- Floquet
- Rotor
- Stability
- Unilateral contact