A RESEARCH OF CROSS-EFFECTS OF TRANSVERSAL AND ROTATIVE
VIBRATIONS OF AN ELASTIC-SUPPORTED ROTOR 

Semenov Anatoliy Dmitrievich,  Doctor of engineering sciences, professor, sub-department of automation and remote control, Penza State University (40 Krasnaya street, Penza, Russia), sad-50@mail.ru
Budagovskiy Dmitriy Aleksandrovich, Postgraduate student, Penza State University (40 Krasnaya street, Penza, Russia), budagovsky92@gmail.com

531.3

10.21685/2072-3059-2017-4-8

Background. The object of the research is an elastic-supported rotor of a servomechanism engine. The subject of the research is cross-effects of transversal and rotative  vibrations which take place at servomechanism rotor functioning. The goal of research is to investigate the cross-effects of transversal and rotative vibrations and to design a mathematical model regarding these cross-effects.
Materials ant methods. The authors investigated the interrelation of transversal and rotative vibrations taking place during servomechanism rotor functioning.
Results. The researchers have developed a linearized mathematical model of an elastic-supported rotor, which considers the interference of transversal and rotative vibrations. The work proves that transversal vibrations cause torsional deformations and visa versa.
Conclusions. The research of rotor vibrations allows to conclude that the crosseffects of transversal and rotative vibrations are significant. It led to elaboration of the linearized mathematical model that takes into account this interaction.

transversal vibrations, rotative vibrations, damping, mathematical simulation, cross-effects of vibrations, elastic-supported rotor, mathematical model linearization

1. Tondl A. Some problems of rotor dynamics. London: Chapman and Hall, 1965.
2. Dimentberg F. M. Izgibnye kolebaniya vrashchayushchikhsya valov [Transversal vibrations of torsion shafts]. Moscow: Izd-vo AN SSSR, 1959.
3. Kel'zon A. S., Zhuravlev Yu. N., Yanvarev N. V. Raschet i konstruirovanie rotornykh mashin [Rotor machine design and construction]. Leningrad: Mashinostroenie, 1977, 287 p.
4. Kel'zon A. S., Tsimanskiy Yu. P., Yakovlev V. I. Dinamika rotorov v uprugikh oporakh [Elastic-supported rotor dynamics]. Moscow: Nauka, 1982.
5. Pasynkova I. A. Prikladnaya matematika i mekhanika [Applied mathematics and mechanics]. 2006, no. 4, pp. 605–616.
6. Genta G. Dynamics of Rotating Systems. Berlin: Springer, 2005, 660 p.
7. Muszynska A. Rotordynamics. Boca Raton: Taylor&Francis, 2005, 1054 p.
8. Perepelkin N. V., Mikhlin Yu. V. Dinamicheskie sistemy [Dynamics systems]. 2011, vol. 1 (29), no. 2, pp. 269–280.
9. Polyakhov N. D., Stotskaya A. D. Elektrotekhnika [Electrical engineering]. 2012, no. 8, pp. 50–64.
10. Avramov K. V. Proceedings of the IMechE, Part C: Journal of Mech. Engineering Science. 2010, vol. 224, pp. 1593–1604.
11. Klyuchev V. I. Teoriya elektroprivoda: ucheb. dlya vuzov [The electric drive theory: textbook for universities]. 2nd ed. revised and expanded. Moscow: Energoatomizdat, 2001, 704 p.
12. Ivanov V. P. Kolebaniya rabochikh koles turbomashin [Turbomachine’s rotor vibration]. Moscow: Mashinostroenie, 1983, 224 p.
13. Vibratsii v tekhnike: spravochnik: v 6 t. Red. V. N. Chelomey (pred). T. 3. Kolebaniya mashin, konstruktsiy i ikh elementov [Vibrations in engineering: reference book: in 6 volumes. Edited by V.N. Chelomey. Vol. 3. Vibrations of machines, constructions and elements thereof] Ed. by F. M. Dimentberg, K. S. Kolesnikov. Moscow: Mashinostroenie, 1980, 544 p.