Experimental and theoretical research of continuous motion of rotor on anisotropic gapped elastic support

Abstract


Kinematic and dynamic features of flexible rotor rolling of an unlubricated uneven-stiffness gapped support  are shown  with the help of a theoretical model and full-scale tests. A combination of original approaches and well-known analytical and experimental methods is used. In particular, the motion equations are Lagrangian, derived in complex and complex-conjugate coordinates, and their solutions are sought in the exponential form, by excluding contact forces from consideration and by introducing a small parameter. Vibration measurements are not made on the rig frame using accelerometers, but at the source of vibration, i.e. by direct tracking of the rotor axle by a pair of eddy-current contactless displacement sensors installed in a XY configuration. Hence, the preciseness of the experimental data does not depend on the mechanical conductivity of the parts between the source rotor and the receiver sensors. As a result, the frequency, amplitude and existence domain of retrograde precession are reliably determined, and a conclusion is drawn that rolling under a certain combination of parameters is impossible in principle.


About the authors

A. N. Nikiforov

Mechanical Engineering Research Institute of the Russian Academy of Sciences

Author for correspondence.
Email: n.andre@mail.ru

Russian Federation

Candidate of Science (Engineering)
Senior Researcher

G. Ya. Panovko

Mechanical Engineering Research Institute of the Russian Academy of Sciences

Email: gpanovko@yandex.ru

Russian Federation

Doctor of Science (Engineering)
Chief Researcher

A. Ye. Shokhin

Mechanical Engineering Research Institute of the Russian Academy of Sciences

Email: shohinsn@mail.ru

Russian Federation

Candidate of Science (Engineering)
Senior Researcher

References

  1. Inoue T., Ishida Y., Fei G., Md Zahid H. Suppression of the forward rub in rotating machinery by an asymmetrically supported guide. Journal of Vibration and Acoustics, Transactions of the ASME. 2011. V. 133, Iss. 2. doi: 10.1115/1.4002120
  2. Kurakin A.D., Nikhamkin M.Sh., Semenov S.V. Dynamics of unbalanced flexible rotor with anisotropic supports during contact with the stator. PNRPU Mechanics Bulletin. 2016. No. 4. Р. 364-381. doi: 10.15593/perm.mech/2016.4.21 (In Russ.)
  3. Nikiforov A.N. Whirl or whip of gyroscopic rotor rubbing stator and frequency of such processes. Handbook. An Engineering Journal. 2018. No. 9 (258). P. 21-31. doi: 10.14489/hb.2018.09.pp.021-031 (In Russ.)
  4. Nikiforov A.N. On the full annular rub in the flexible rotor - compliant stator system due to friction. Proceedings of Higher Educational Institutions. Proceedings of Higher Educational Institutions. Маchine Building. 2018. No. 10 (703). P. 4-17. doi: 10.18698/0536-1044-2018-10-4-17 (In Russ.)

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