Abstract
Applying the theory of Lyapunov exponents for nonsmooth dynamical systems, chaotic motions and strange attractors are found in the case of a cracked rotor. To detect the crack and establish a clear relation between shaft cracks in turbo rotors and induced phenomena in vibrations measured in bearings, a model-based method is applied. Based on a fictitious model of the time behaviour of the nonlinearities, a state observer of an extended dynamical system is designed resulting in estimates of the nonlinear effects.
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Müller, P.C., Bajkowski, J. & Söffker, D. Chaotic motions and fault detection in a cracked rotor. Nonlinear Dyn 5, 233–254 (1994). https://doi.org/10.1007/BF00045678
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DOI: https://doi.org/10.1007/BF00045678