2008
DOI: 10.2140/jomms.2008.3.893
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A cracked beam finite element for rotating shaft dynamics and stability analysis

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… Show more

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Cited by 11 publications
(25 citation statements)
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References 34 publications
(30 reference statements)
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“…This change of the whirl orbit shape during the passage through one-half and one-third of the first critical rotating frequency has been experimentally observed in [32,29,16]. Also, in previous works ( [11,13,12,8]), we have made similar observation with a more realistic breathing mechanism of the crack. When looking at the phase diagrams of Fig.7, we can easily notice the velocity jumps at each opening/closing of the crack.…”
Section: Saber El Aremsupporting
confidence: 85%
See 3 more Smart Citations
“…This change of the whirl orbit shape during the passage through one-half and one-third of the first critical rotating frequency has been experimentally observed in [32,29,16]. Also, in previous works ( [11,13,12,8]), we have made similar observation with a more realistic breathing mechanism of the crack. When looking at the phase diagrams of Fig.7, we can easily notice the velocity jumps at each opening/closing of the crack.…”
Section: Saber El Aremsupporting
confidence: 85%
“…It opens totally (lowest stiffness) at ϕ = 3π 2 . This approach was first presented by Andrieux and Varé [2] and experimentally validated by Stoisser and Audebert [30] then largely discussed and improved in [8,12,9]. This variation of the stiffness of the nodal element representing the cracked transverse section will be, in the next part of this paper, adapted to be used in a two-Degrees-Of-Freedom (2−DOF) dynamical system describing a rotating shaft with a cracked transverse section.…”
Section: A Brief Review Of the Edf−lms Approachmentioning
confidence: 99%
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“…Varé and Andrieux [7] extended this method in order to show how shear effects can be implemented in the model of a cracked section. Arem und Maitournam [8] presented stiffness variations deduced from three-dimensional FE calculations accounting for the unilateral contact between the crack lips as originally developed by Andrieux and Varé [6].…”
Section: Introductionmentioning
confidence: 99%