Identification of multiple cracks in beams under bending

Vibration analysis of a cracked rotating tapered beam using the p-version finite element method

“…The effect of crack has been widely investigated in the literature and various approaches for crack modeling have been developed. The state-ofthe-art reviews on crack modeling and identification techniques have been presented by many researchers such as Dimarogonas [23], Doebling et al [24] and Chasalevris and Papadopoulos [25]. As for vibration of cracked rotating beams, Chen and Chen [26] investigated vibration and stability of cracked thick rotating blades based on a finite element model.…”

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

“…The SERR method was applied to the calculation of compliance due to a crack rotated by angle j by Chasalevris and Papadopoulos [23]. A Cartesian coordinate system XOY is considered in Fig.…”

“…(25)-(28) are now Àz Âb 1 to z Âb 2 for the variablex as in [26], and from ðk þȳ 2 Þ to ffiffiffiffiffiffiffiffiffiffiffiffiffi 1 Àx 2 p for the variableȳ, defined as follows in Eqs. (23) and (24):…”

Parametric instability of a rotating shaft containing an elliptical front crack

“…In many of those works, a straight edge is usually considered to idealize the surface crack front [6,7,8]. However, it is shown from the experimental observations [9,10] that the actual surface crack front in shaft under cyclical bending or axial load tends to be elliptical.…”