Influence of disk deviation from the plane normal to the shaft axis on rotor dynamics


Аuthors

Nazarenko Y. B.1*, Marishkin V. V.2

1. Lyulka Experimental Design Bureau, branch of the United Engine Corporation – Ufa Engine Industrial Association, 13, Kasatkina str., Moscow, 129301, Russia
2. Lytkarinsky Machine-building Plant-branch of the United Engine Corporation Ufa Engine Industrial Association, 16 Budennogo Avenue, Moscow, 105118

*e-mail: nazarenko.yuri@gmail.com

Abstract

The paper The influence of the disk tilt from the plane normal to the rotor shaft axis on rotor dynamics and on the increase of support reactions is considered.
Disk tilt angles occur both due to tolerances during disk mounting on the rotor and during engine operation under the influence of factors such as temperature, plastic deformations, and non-uniformity of mechanical properties. To evaluate natural oscillation frequencies during their theoretical determination, systems of Lagrange equations are compiled for each concentrated mass of the rotor, equating the inertial forces during its oscillatory process to the forces of elastic resistance. The dynamic Lagrange equilibrium equations for a rotating rotor under synchronous precession consider the equilibrium of centrifugal forces and gyroscopic moments with the elastic resistance forces of the shaft. The critical speeds of rotors depend on the gyroscopic moments of the disks, which are determined by the rotation speeds, the angles of disk tilt during shaft bending, and the moments of inertia of the disks. In the presence of gyroscopic moments of the disks, the resonant frequencies of the rotors at their critical speeds increase compared to the natural oscillation frequencies of a stationary rotor, as these moments counteract the shaft deflection. By determining the shaft deflection at zero moment of inertia and a point mass of the disk at a rotor rotation speed equal to the natural oscillation frequency of the reference rotor, we find the required disk tilt angle at which resonance of the rotating rotor can occur at the natural oscillation frequency of the reference rotor. The critical circular speed of the rotor with disk tilt will be lower than that of a disk without tilt.
A methodology has been developed for assessing the influence of the disk tilt angle on the increase of reaction at the support. The increase in shaft deflection of the rotor due to the tilt of the turboprop engine disk leads to an increase in centrifugal forces from unbalanced disk masses and an increase in the load on the support.Assuming a linear dependence of shaft deflections on external load, the reactions at the support were determined for shaft deflections at rotation speeds different from the base variant.

Keywords:

rotor; shaft; bearing support; centrifugal force; gyroscopic moment

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