Dynamics of a Flexible Disk Rotor under a Point Contact with Discrete Viscoelastic Oscillation Limiters

A. A. Azarov; Азаров А. А.; A. M. Gouskov; Гуськов А. М.; G. Ya. Panovko; Пановко Г. Я.

doi:10.31857/S0235711923010029

Dynamics of a Flexible Disk Rotor under a Point Contact with Discrete Viscoelastic Oscillation Limiters

Authors: Azarov A.A.¹^,2, Gouskov A.M.¹^,2, Panovko G.Y.¹
Affiliations:
1. Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, Russia
2. Bauman Moscow State Technical University, Moscow, Russia
Issue: No 1 (2023)
Pages: 26-37
Section: МЕХАНИКА МАШИН
URL: https://journals.rcsi.science/0235-7119/article/view/137561
DOI: https://doi.org/10.31857/S0235711923010029
EDN: https://elibrary.ru/ASDRKI
ID: 137561

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Abstract
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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.

Keywords

rotor system, critical velocity, precession, elastic limiters, internal friction, instability, bifurcation analysis

References

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