The paper contains a study of mutual interactions, which occur between lateral, torsional and axial vibrations in multi-supported retors operating in the non-linear range. The object of investigations is a rotor founded on three slide bearings. Presented have been the methods of modelling of the rotor cracks and bearings misalingnment. These defects have been regarded as the factors generating the coupled forms of vibrations. In the work presented has been a part of work devoted to the influence of location of the angle of rotor crack on the system dynamical response. Applicability of phase vibration spectra analysis in diagnostics of such kind of defects has been indicated. The paper presents the analysis of non-linear vibrations of real rotors carried out using a 3D heat transfer model of journal bearings. The method is adequate to describe the oil film properties and enables the use of the equations of motion for the entire system and thereby the description of instability behaviour of such objects. In the work indicated are the capabilities of computer analysis in optimisation and diagnostics of technical objects such as power industry turbosystems. In the work presented is also a general discussion on the constraints emerging from modelling and mathematical description of different objects, not only of he power industry type.
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