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

作者: Azarov A.¹^,2, Gouskov A.¹^,2, Panovko G.¹
隶属关系:
1. Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, Russia
2. Bauman Moscow State Technical University, Moscow, Russia
期: 编号 1 (2023)
页面: 26-37
栏目: 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

如何引用文章

全文:

开放存取

##reader.subscriptionAccessGranted##
受限制的访问

订阅存取

详细
作者简介
参考
补充文件
统计

详细

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.

关键词

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

参考

Yamamoto T., Jshida Y. Linear and Nonlinear Rotordynainics. Wiley & Sons, 2001. 358 p.
Genta G. Dynamics of Rotating Systems. NY: Springer-Verlag, 2005. 658 p.
Банах Л.Я. Некоторые явления, возникающие при вращении вала в подшипнике с зазором // Машиноведение. 1965. № 1. С. 70.
Banakh L. Contact problems in rotor systems // Vibroengineering Procedia. 2016. V. 8. P. 90.
Диментберг Ф.М. Изгибные колебания вращающихся валов. М.: Изд-во академии наук СССР, 1959. 248 с.
Tiwari R. Rotor Systems: Analysis and Identication. Boca Raton: CRC Press, Taylor & Francis Group, 2018. 1059 p.
Pasynkova I.A. Bifurcations of cylindrical precessions of an unbalanced rotor // Technische Mechanik. 2006. V. 26. № 1. P. 1.
Ding Q., Cooper J. E., Leung A.Y.T. Hopf bifurcation analysis of a rotor/seal system // J. of Sound and Vibration. 2002. V. 252. Iss. 5. P. 817.
Karpenko E.V., Pavlovskaia E.E., Wiercigroch M. Bifurcation analysis of a preloaded Jeffcott rotor // Chaos, Solutions and Fractals. 2003. V. 15. P. 407.
Khanlo H.M., Ghayour M., Ziaei-Rad S. Chaotic vibration analysis of rotating, flexible, continuous shaft-disk and the stator // Communications in Nonlinear Science and Numerical Simulation. 2011. V. 16. Iss. 1. P. 566.
Bolotin V.V. Nonconservative Problems of the Theory of Elastic Stability. Oxford: Pergamon Press, 1963. 324 p.
Dimentberg M.F. Vibration of a rotating shaft with randomly varying internal damping // J. of Sound and Vibration. 2005. V. 285. P. 759.
Zorzi E.S., Nelson H.D. Finite Element Simulation of Rotor-Bearing Systems with Internal Damping // ASME J. of Engineering for Power. 1977. V. 99. № 1. P. 71.
Zhang G.F., Xu W.N., Xu B., Zhang W. Analytical study of nonlinear synchronous full annular rub motion of flexible rotor–stator system and its dynamic stability // Nonlinear Dynamics. 2009. V. 57. P. 579.
Grāpis O., Tamužs V., Ohlson N.-G., Andersons J. Overcritical high-speed rotor systems, full annular rub and accident // J. of Sound and Vibration. 2006. V. 290. Iss. 3–5. P. 910.
Childs D.W. Fractional-frequency rotor motion due to nonsymmetric clearance effects // Trans ASME J. Eng. Power. 1982. V. 104 (3): 533–41.
Куракин А.Д., Нихамкин М.Ш., Семенов С.В. Динамика неуравновешенного гибкого ротора в анизотропных опорах при контакте со статором // Вестник Пермского национального исследовательского политехнического университета. Механика. 2016. № 4. С. 364.
Никифоров А.Н., Шохин А.Е. Упругопластическая вязкая модель ударного и безотрывного взаимодействия ротора со статором // Изв. РАН. МТТ. 2016. № 1. С. 67.
Lahriri S., Weber H.I., Santos I.F., Hartmann H. Rotor-stator contact dynamics using a non-ideal drive – Theoretical and experimental aspects // J. of Sound and Vibration. 2012. V. 331. P. 4518.
Neilson R.D., Barr A.D.S. Dynamics of a rigid rotor mounted on discontinuously non-linear elastic supports // Proc Institut Mech. Engnr, Part C. 1988. V. 202 (5). P. 369.
Гуськов А.М., Пановко Г.Я., Шохин А.Е. Динамика роторной системы вибрационно-центробежного сепаратора с односторонним упругим ограничителем колебаний // Проблемы машиностроения и автоматизации. 2022. № 2. С. 16.
Xia Y., Ren X., Qin W., Yang Y., Lu K., Fu C. Investigation on the transient response of a speed-varying rotor with sudden unbalance and its application in the unbalance identification // J. of Low Frequency Noise, Vibration and Active Control. 2020. V. 39 (4). P. 1065.