What is the crack modeling?

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The effect of transverse breathing crack on the dynamics of the rotor-bearing system during shut-down has been considered in the present work. Papadopoulos and Dimarogonas derived the flexibility matrices of the cracked element for flexural vibrations. These flexible matrices are utilized in the present work as proposed in the in the FEM analysis of  Sekhar and Prabhu. The flexibility matrix of an uncracked beam/shaft element by ignoring shearing action is given by where EI is the flexural rigidity which represents the bending stiffness and l is the element length. The phenomenon of opening and closing of the crack during shaft rotation is called breathing action of the crack. Papadopoulos and Dimarogonas23 have illustrated the breathing action...
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