The strain energy release approach for modeling cracks in rotors: A state of the art review

Innovative theory for the compliance computation in rotors

“…(1). With reference to Papadopoulos [16,17], since the stress intensity factors for circular cross-sections are not available, the analysis of the computation of compliance of the cracked shaft is done by the energy release rate method as follows. The non-dimensional form for torsional compliance, c T , is computed (see and:…”

“…Thereafter, many experiments were conducted for veri cation of the fracture mechanics models. During the last four decades, a great deal of attention has been paid to the e ect of cracks on rotating machinery [8][9][10][11][12][13][14][15][16][17]. The most signi cant challenge in this area is modeling of the crack.…”

“…The most signi cant challenge in this area is modeling of the crack. The combination of the theory of energy release rate and the rotor dynamics was a base for the work in classical fracture mechanics in the context of the energy release approach [17], which has inherent di culty. More information from these references is included in the next section.…”

Review of Recent Advances in the Application of the Wavelet Transform to Diagnose Cracked Rotors

“…Sekhar [2] stated that most of the studies dealt with a single crack, however, the problem of crack sizing and locating becomes more complex. A review of crack identification in rotating shafts by Papadopoulos [3], concluded that most of the work in crack detection was based on using vibration signatures. Papadopoulos classified diagnosis techniques as applying either model-based or vibration methods.…”

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

“…The opening and closing of the crack has been modeled in different ways. 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.…”