Experimental and theoretical study of vibration bifurcations in aviation transmission gears

Abstract

Tooth gearings are used in transmission systems of aviation engines to carry the torque from the engine to the accessories. Various forces occur in the course of loading their teeth. The cogwheels making up a part of the transmission system of the aviation engine consist of elements affected both by the rigid and soft restoring forces. Spasmodic change of rigidity in the case of changing the number of engaged couples of teeth causes parametric vibrations of cogwheels. It follows from this that transmission is not only a nonlinear, but also a parametric oscillatory system. The maximum amplitude is not realized when passing the resonance in the case of quick changes of the rotation frequency. Two different values of fluctuation can be registered in the steady-state regime for identical values of the rotation frequency. This duality is called bifurcation. Bifurcations of vibrations can be quite often observed in aviation transmission gears. The existence of bifurcation of vibrations in aviation transmission gears is theoretically proved and the pilot study confirming theoretical conclusions about the existence of bifurcation of oscillatory processes in tooth gearings is described in the paper. Bifurcation parameters are determined.

About the authors

V. L. Dorofeyev

Central Institute of aviation motors named after P.I. Baranov, Moscow

Author for correspondence.
Email: vld@ciam.ru

Doctor of Science (Engineering), Professor

Chief Researcher the Department of Dynamics and Strength of Aviation Engines

Russian Federation

V. V. Golovanov

Central Institute of aviation motors named after P.I. Baranov, Moscow

Email: vvg@ciam.ru

Head of Department

Russian Federation

S. G. Ghukasyan

Central Institute of aviation motors named after P.I. Baranov, Moscow

Email: gsg@ciam.ru

Head of Sector

Russian Federation

D. V. Dorofeyev

Central Institute of aviation motors named after P.I. Baranov, Moscow

Email: dl@list.ru

Candidate of Science (Engineering)

Associate Professor

Russian Federation

V. G. Storchak

Central Institute of aviation motors named after P.I. Baranov, Moscow

Email: svg@ciam.ru

Engineer

Russian Federation

I. A. Afanasyev

Central Institute of aviation motors named after P.I. Baranov, Moscow

Email: u394@ciam.ru

Engineer Sector of Experimental Research

Russian Federation

References

  1. Stoker J. Nelineynye kolebaniya v mekhanicheskikh i elektricheskikh sistemakh [Nonlinear fluctuations in mechanical and electric systems]. Moscow: Izdatel'stvo inostrannoy literatury Publ., 1952. 264 p.
  2. Dorofeyev V.L. Calculation of the loads and stresses acting during the meshing of cylindrical gears. Soviet Engineering Research. 1983. V. 3, no. 3. P. 5-9.
  3. Dorofeyev V.L., Golovanov V.V., Dorofeyev D.V. Sistem of modeling of «AEROFLANK» & direct synthesis of wearproof and quiet tooth gearings. Visnik NTU «HPI». Ceriya: Problemi mekhaniich-nogo privodu. 2013. No. 40(1013). P. 39-48. (In Russ.)

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