Dynamic behaviour of the Laval rotor with a transverse crack

Gasch, Robert

doi:10.1016/j.ymssp.2007.11.023

Cited by 114 publications

(90 citation statements)

References 3 publications

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“…To reduce the difficulty of the problem in the study of cracked shafts, researchers often assumed that the amplitude of the vibrations due to the presence of cracks is weak compared to those of the vibrations due to permanent loads [El Arem and Nguyen 2006;Gasch 1976;Mayes and Davies 1976;1980;Davies and Mayes 1984;Henry and Okah-Avae 1976;Gasch 1993]. The present model is more general and allows us to overcome the limitations of such an assumption.…”

Section: Discussionmentioning

confidence: 99%

“…This method was used by Gasch [1976], Meng and Gasch [2000], and El Arem and Nguyen [2006] for the stability analysis of a two parameter cracked rotating shaft. The first step of this section consists of approximating the K e (ϕ e ) terms by a classical function of the crack depth a and angle ϕ e .…”

Section: Stability Analysismentioning

confidence: 99%

“…In Europe, the first works appeared only some years later in papers by Gasch [1976], Mayes and Davies [1976], and Henry and Okah-Avae [1976]. These authors considered a simple model to account for the crack breathing mechanism to which we often refer to as the switching crack model or the hinge crack model where the crack is totally opened or totally closed.…”

Section: Introductionmentioning

confidence: 99%

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A cracked beam finite element for rotating shaft dynamics and stability analysis

Arem

Maïtournam

2008

JOMMS

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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.

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Section: Discussionmentioning

confidence: 99%

Section: Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A cracked beam finite element for rotating shaft dynamics and stability analysis

Arem

Maïtournam

2008

JOMMS

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“…The simplest one is to consider that the crack is always open (Papadopoulos and Dimarogonas (1987), Zhou et al (2005) and Papadopoulos (2008), among others), or that the crack is open or closed, so that the crack is half the rotation in the open state and the other half in the closed one. This model, commonly called "switching" model has been used quite often i.e by Gasch (1976), Muller et al (1994), Pu et al (2002), Qin et al (2003), Qin et al (2004), Gasch (2008) due to its simplicity. However the most feasible behavior of the crack is that called the "breathing" behavior.…”

Section: Introductionmentioning

confidence: 99%

Quasi-static numerical study of the breathing mechanism of an elliptical crack in an unbalanced rotating shaft

Rubio

Muãoz-Abella

Rubio

et al. 2014

Lat. Am. j. solids struct.

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In this paper we present the numerical analysis of the quasi-static behavior of an unbalance cracked shaft with straight and elliptical cracks considering an eccentric mass. The rotation of the shaft has been simulated by considering different angular positions to complete one rotation. The influence of the mass eccentricity in the opening of the crack has been studied considering different angles of eccentricity. The study of the partially opening/closing of the crack in the rotation of the shaft under the influence of the eccentric mass is analyzed. The work allows us to know the influence of the unbalance in the crack breathing mechanism and will help to predict the influence of this behavior on the values of the Stress Intensity Factor and on the propagation of cracks.

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“…The modelisation of cracked structure takes into account the opening/closing crack mechanism [4][5][6] . To put into evidence this mechanism, we consider a simply supported beam subjected to its own weight effects as shown in Figure 2.…”

Section: Introductionmentioning

confidence: 99%

Analysis of parameters effects on crack breathing and propagation in shaft of rotor dynamic systems

Serier¹,

Lousdad²,

Refassi³

et al. 2013

Mat. Res.

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In this paper the design of experiment method is used to investigate and explain the effects of the rotor parameters on crack breathing and propagation in the shaft. Three factors are considered which have an influence on the behavior and the propagation of the crack: the rotational speed, the length of the rotor and the diameter of the shaft. The elaborated mathematical model allows determining the effects and interaction of speed, diameter and length on crack breathing mechanism.The model also determines the optimal values of the parameters to achieve high performance.

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Dynamic behaviour of the Laval rotor with a transverse crack

Cited by 114 publications

References 3 publications

A cracked beam finite element for rotating shaft dynamics and stability analysis

A cracked beam finite element for rotating shaft dynamics and stability analysis

Quasi-static numerical study of the breathing mechanism of an elliptical crack in an unbalanced rotating shaft

Analysis of parameters effects on crack breathing and propagation in shaft of rotor dynamic systems

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