A CRACKED BEAM FINITE ELEMENT FOR ROTATING SHAFT DYNAMICS AND STABILITY ANALYSIS

Saber El Arem (1) , Habibou Maitournam (2)

1 3SR - Laboratoire sols, solides, structures - risques [Grenoble]
2 LMS - Laboratoire de mécanique des solides

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.

Keywords: finite element; rotor; Floquet; stability; breathing crack; unilateral contact; beam

Domains: Solid mechanics [physics.class-ph]; Solid mechanics [physics.class-ph]

Saber El Arem, Habibou Maitournam. A CRACKED BEAM FINITE ELEMENT FOR ROTATING SHAFT DYNAMICS AND STABILITY ANALYSIS. Journal of Mechanics of Materials and Structures, 2008, 3 (5), pp.893-910. ⟨hal-00408873⟩