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Cross coordinate system modelling method for a dual-rotor system with initial bending of its low-pressure rotor |
LIU Yu1, WANG Jianjun1, CHEN Liqiang1, WANG Zhi1,2 |
1.School of Energy and Power Engineering, Beihang University, Beijing 100191, China;
2.Shenyang Aerospace University, Liaoning Province Key Laboratory of Advanced Measurement and Test Technology of Aviation Propulsion Systems, Shenyang 110136, China |
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Abstract Aiming at the problem of initial bending of low-pressure rotor existing in a dual-rotor system of aero-engine, considering intermediate bearing offset, the cross coordinate system modeling method for a dual-rotor system was proposed.This method could solve the problem of different motion forms of high-pressure (HP) rotor and low-pressure (LP) one leading to their modeling being not able to be done in a unified coordinate system.Firstly, finite element models of HP and LP rotors were built in different coordinate systems based on their coupled motion behavior.Then, differential equations of motion for HP and LP rotors were obtained with Lagrange equation.The coordinate transformation of inner and outer rings’ DOFs of intermediate bearing was used to realize HP and LP rotors’ cross coordinate system DOF coupling.LP rotor’s initial bending caused its mass eccentricity and angle skewing to bring its additional centrifugal load and gyroscopic moment.Due to intermediate bearing’s position offset, HP rotor’s differential equations of motion had time-varying stiffness and time-varying damping terms, so its additional excitation load were more complex.Intermediate bearing connected different coordinate systems, so it produced time-varying stiffness after coordinate transformation.Finally, some computation examples were used to compare the proposed model’s steady state responses with those of the traditional one.The results showed that the response amplitude of the proposed model is obviously larger than that of the tradition one when LP rotor’s rotating speed is close to its critical speed.
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Received: 05 June 2018
Published: 28 January 2020
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