Perfecting the methodology of determining the flexibility matrix of the «squirrel cage» in rotor supports of aviation gas-turbine engines


Elastic-damping supports are widely spread in the design of aviation gas-turbine engines. These supports include elastic elements of the «squirrel cage» type.  A methodology of calculating the flexibility matrix for the «squirrel cage» with straight rod elements of rectangular cross-section with account for groove rounding is presented in the paper. Determining the flexibility matrix is essential for constructing mathematical models of aviation gas turbine engines when solving problems of rotor dynamics. The methodology is based on the application of Mohr integral for beam constructions. The results obtained with the help of the methodology are compared with the results of calculations in the finite-element complex and with the results of calculation without regard for the rounding, as well as with results obtained by other authors.

About the authors

S. A. Degtyarev

Technical Research Center of Rotor Dynamics «Alfa-Tranzit», LLC, Khimky

Author for correspondence.

Manager of Department on the development of simulation means

Russian Federation

M. K. Leontiev

Moscow Aviation Institute (National Research University)


Doctor of Science (Engineering)
Professor of the Department 203 «Construction and design of engines»

Russian Federation

V. V. Popov

Bauman Moscow State Technical University


Teaching assistant of the Department RK-5 «Applied mechanics»

Russian Federation


  1. Belousov A.I., Balyakin V.B., Novikov D.K. Teoriya i proektirovanie gidro-dinamicheskih dempferov opor rotorov [Theory and design of hydrodynamic dampers of rotor supports]. Samara: Samarskiy nauchnyy tsentr RAN Publ., 2002. 335 p.
  2. Sergeev S.I. Dempfirovanie mehanicheskih kolebaniy [Damping of mechanical vibra-tions]. Moscow: Fizmatgiz Publ., 1959. 408 p.
  3. Dinamika aviacionnyh gazoturbinnyh dvigateley [Dynamics of aircraft gas turbine engines]. Ed. by I.A. Birger, B.F. Shorr. Moscow: Mashinostroenie Publ., 1981. 232 p.
  4. Balyakin V.B., Barmanov I.S. Perfection of design procedures of dynamic parameters of elastic elements FDS of rotors GTE. Izvestiya Samarskogo nauchnogo tsentra RAN. 2009. V. 11, no. 3-1. P. 205-209. (In Russ.)
  5. Balyakin V.B., Barmanov I.S. Design procedure of factor of rigidity flexible elements of support of rotors aviation gas turbine engines. Izvestiya Samarskogo nauchnogo centra RAN. 2013. V. 15, no. 4-1. P. 213-217. (In Russ.)
  6. Degtiarev S.A., Leontiev M.K., Popov V.V. «Squirrel cage» flexibility in supports of aviation gas turbine engine rotors. Vestnik of the Samara State Aerospace University. 2014. No. 4(46). P. 52-60. (In Russ.)
  7. Feodos'ev V.I. Soprotivlenie materialov [Strength of materials]. Moscow: Bauman Moscow State Technical University Publ., 2010. 590 p.
  8. Amosov A.A., Dubinskiy Yu.A., Kopchenova N.V. Vychislitel’nye metody dlya in-zhenerov [Computational methods for engineers]. Moscow: Vysshaya Shkola Publ., 1994. 544 p.



Abstract: 3180

PDF (Russian): 1454




  • There are currently no refbacks.

Copyright (c) 2016 VESTNIK of the Samara State Aerospace University

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies