Affiliations: State Key Laboratory of Mechanical System and
Vibration, Shanghai Jiao Tong University, Shanghai, 200240. P.R. China | Department of Automatic Control and Systems
Engineering, University of Sheffield, Mappin Street, Sheffield, S1 3JD,
UK | Department of Precision Instruments, Tsinghua
University, Beijing 100084, P.R. China
Abstract: The dynamic behavior of rotor containing crack is a subject of
particular interest and has been extensively investigated by researchers. The
effects of crack on the natural frequencies and modal shapes and motion orbits
of rotor systems have already been well explored by researchers. In the present
study, the infl uence of crack on the transmission matrices of the rotor
systems is investigated by using the FEM (finite element method) analysis and
the HBM (harmonic balance method) technique. It is for the first time revealed
that there are differences between the transmission matrices for the
fundamental frequency components and the transmission matrices for the
super-harmonic components, and the differences are mainly determined by the
crack location. The results are validated by numerical experiments where the
system responses of a rotor system are obtained using {\it Runge-Kutta} method.
The results are of significance for the development of effective crack
detection methods in practice.
