Bond Graph Modeling of a Cracked Rotor

摘要

The present paper deals with the modeling of a cracked rotor system with internal damping and driven by a dissipative coupling. Bond graphs are used for modeling as it facilitates the system modeling from the physical paradigms itself and the model may be modified at further stage with ease. In present analysis, it has been assumed that there is already one circumferential crack on the surface of the rotor. Rotor is simply supported at the two ends by self-aligning bearings and Rayleigh beam is used for modeling the rotor shaft. The integrated model of rotor shaft with dissipative coupling is a vectorized bond graph model interfacing different submodels like, uncracked spinning shaft, cracked spinning shaft and spinning hub (capsules) respectively by their respective icons. The mathematical stiffness matrixes for cracked and uncracked elements are computed and a detailed integrated bond graph model is created, which will portray the exact and accurate dynamics of cracked rotor system. The other focus of this paper to present the various aspects of cracked rotor modeling with particular regard to the modeling through the bond graphs.