VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University303110.18287/2412-7329-2016-15-1-163-170UnknownPerfecting the methodology of determining the flexibility matrix of the «squirrel cage» in rotor supports of aviation gas-turbine enginesDegtyarevS. A.<p><span lang="EN-US">Manager of Department on the development of simulation means</span></p>degs@alfatran.comLeontievM. K.<p><span lang="EN-US">Doctor of Science (Engineering)<br />Professor of the Department 203 «Construction and design of engines»</span></p>lemk@alfatran.comPopovV. V.<p><span lang="EN-US">Teaching assistant of the Department RK-5 «Applied mechanics»</span></p>vvpopov.bmstu@gmail.comTechnical Research Center of Rotor Dynamics «Alfa-Tranzit», LLC, KhimkyMoscow Aviation Institute (National Research University)Bauman Moscow State Technical University270420161511631702804201628042016Copyright © 2016, VESTNIK of the Samara State Aerospace University2016<p>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.</p>Elastic-damping supports«squirrel cage»flexibility matrixrotor dynamicsУпругодемпферные опоры (УДО)«беличье колесо»матрица податливостироторная динамика[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.]