The mathematical modeling of the dynamic behavior of twin-rotor turbomachine systems with an inter-shaft bearing

Аuthors

Dudaev M. ^*, Pykhalov A. ^**

Irkutsk State Transport University (IrGUPS), 15, Chernyshevsky str., Irkutsk, 664074, Russia

*e-mail: dudaev_ma@mail.ru
**e-mail: pykhalov_aa@mail.ru

Abstract

The up-to-date problem solution on enhancing cost effectiveness, applicability characteristics and other parameters of the gas turbine engines (GTE) of both aviation and ground purposes stipulated the multi-rotor (multi-stage) of the rotor system (RS) layout, which realization is most often associated with the inter-rotor (inter-shaft) bearings. The goal of the study presented in the article consists in further development of mathematical modeling and analysis of dynamic behavior of the GTE rotor system based on the double pass layout of its structure. The system consists of low-pressure and high-pressure rotors, between which an inter-shaft bearing, serving as a support of the high-pressure turbine rotor on the low-pressure rotor shaft, is placed. A mathematical model of the RS GTE dynamic behavior analyzing is based on the finite element method (FEM) and the theory of elasticity contact problem solution, which allows accounting for the coupling conditions of the parts in the rotor designs. The presented mathematical model is implemented in the form of a software package (solver). In the proposed mathematical model, the stiffness is represented as the sum of structural, contact and gyroscopic components and additional stiffness caused by action of centrifugal forces. The forced oscillations excitation model includes forces caused by static and dynamic imbalances of HP and LP rotors rotating with dissimilar operating frequencies, forces of parts contact interaction, and other forces. The Rayleigh mathematical model was used to simulate damping at the RS. Using the presented mathematical model, the amplitude-time characteristics (ATC) of a modern gas turbine engine rotor system are obtained, as well as a deformed state picture and the dynamic stresses field. A comparative analysis of the RS dynamic behavior results without accounting for the effect of the inter-shaft bearing and with one demonstrates in particular the additional harmonics appearance in the RS rotational frequencies operating range and the interference of vibrations in the form of an ATC blurring.

Keywords:

gas turbine engine, rotor system, finite element method, contact problem, rotor dynamics

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