On the dynamic properties of the asymmetrically mounted rotor with inertial anisotropy

Authors

  • Александр Николаевич Горбенко Kerch state maritime technological university Ordgonikidze st., 82, Kerch, KSMTU, 98309, Russian Federation https://orcid.org/0000-0002-8584-7387

DOI:

https://doi.org/10.15587/1729-4061.2014.24484

Keywords:

gyrorotor, inertial anisotropy, stability, oscillations, moments of inertia, critical rates

Abstract

The dynamics of the rotor, which has unequal moments of inertia about its transverse axis is considered in the paper. The analysis is performed considering an asymmetric placement of the rotor relative to the supports. The study is based on the dimensionless equations of spatial motion of the anisotropic rotor in a rotating coordinate system. An exact analytical expression for the critical rotation rate of the inertial-anisotropic rotor is obtained. Analysis of this expression has shown that the inertial-anisotropic rotor may have from one to four critical direct precession rates. The influence of the rotor type, its layout chart and anisotropy factor on the number and values of the critical rates is studied. To investigate the stability, the Lyapunov's method of the first approximation of perturbation equations was used. Basic necessary stability condition for the case of asymmetric mounting of the rotor in an analytical form is obtained. The analysis has shown that the main instability region is located between dual critical rates of angular oscillations of the anisotropic rotor. In general, inertial-anisotropic rotor may have up to three instability regions. The presented analytical and numerical study complements the existing dynamics theory of rotary machines. The obtained results allow more reasonably design and assign rational technological tolerances for manufacturing, assembly and erection of the rotors.

Author Biography

Александр Николаевич Горбенко, Kerch state maritime technological university Ordgonikidze st., 82, Kerch, KSMTU, 98309

Candidate of technical sciences, professor

Department of ship power plants

References

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Published

2014-06-20

How to Cite

Горбенко, А. Н. (2014). On the dynamic properties of the asymmetrically mounted rotor with inertial anisotropy. Eastern-European Journal of Enterprise Technologies, 3(7(69), 8–16. https://doi.org/10.15587/1729-4061.2014.24484

Issue

Vol. 3 No. 7(69) (2014): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2014 Александр Николаевич Горбенко

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