Dynamic modeling and simulation of transverse cracks in rotating shafts through dissipative coupling

The present paper deals with the dynamic modeling and simulation of a cracked rotor through dissipative coupling. The analysis is presented for a rotor with one transverse crack on the surface of the rotor. The paper initially elucidates a few basic concepts of modeling of cracked rotor systems. Later, the cracked rotor system is modeled with bond graphs as it facilitates the system modeling from the physical paradigms. The mathematical stiffness matrixes for cracked elements are computed and a detailed integrated bond graph model is created, which will portray the exact and accurate dynamics of a cracked rotor system. The simulation result presents interesting phenomena of limiting dynamics, which is also validated through experiments. The whole analysis is also validated with the simulation results.