Abstract
The dynamics of a rotor with a massive disk is considered for the case of interaction with oscillation limiters represented by viscoelastic supports discretely arranged in the disk rotation plane. Differential equations that describe the transverse radial and angular rotor oscillations in the course of rotation are obtained. The solution is presented in the form of a second-kind integral of the Fredholm equation. The supercritical rotor behavior after the Poincaré–Andronov–Hopf bifurcation caused by internal friction in the shaft material is studied. A generalized definition of the rotor precession index has been introduced, making it possible to calculate the frequency and direction of precession based on the information concerning transverse rotor oscillation.
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Notes
Physical vectors are marked with an arrow from above; matrix vectors and matrices in a fixed basis are written in bold.
In all calculations, the specified basic parameters are assumed by default, except for the cases when some of these parameters are varied.
A similar expression is used, for example, in [22].
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This work was supported by the Russian Science Foundation, project no. 21-19-00183.
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Translated by O. Polyakov
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Azarov, A.A., Gouskov, A.M. & Panovko, G.Y. Dynamics of a Flexible Disk Rotor under a Point Contact with Discrete Viscoelastic Oscillation Limiters. J. Mach. Manuf. Reliab. 52, 20–30 (2023). https://doi.org/10.3103/S1052618823010028
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DOI: https://doi.org/10.3103/S1052618823010028