Abstract

Two-dimensional linearized Navier-Stokes equations have been used to model the inviscid fluid forces acting on a vertical rotor-cylindrical stator system partially immersed in an inviscid incompressible fluid. The response of the fluid-stator-system subjected to subsequent fault feature extraction. The influences of parameters of the fluid system, among them, fluid density, and mass ratio on the unstable contact zones are analyzed. It is shown that for an effective prediction of rub-impact in a submerged rotor system, the influence of the fluid mass on the stability of the system is an important dynamic factor. It is revealed, that the fluid forces increase the amplitude of vibration, while the frequency of oscillation is reduced, phenomena that stabilise the isotropic vertical rotor-stator system.

Highlights

  • Fluid-Structure Interaction has major importance when taking into account the response of the fluid on structures for safety, reliability and life issues concerning the efficiency of rotating systems

  • Kadyrov et al studied the vibration behaviour of a rigid cylinder in a cylindrical duct filled with a compressible viscous fluid [1]

  • For effective features extraction of some hidden rub features, the obtained highly nonlinear model has been studied based on the Time-Frequency techniques namely, Short Time Fourier Transform (STFT) and improved Nonlinear Wavelet Synchrosqueezed Transform (NWSST)

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Summary

Introduction

Fluid-Structure Interaction has major importance when taking into account the response of the fluid on structures for safety, reliability and life issues concerning the efficiency of rotating systems. Kadyrov et al studied the vibration behaviour of a rigid cylinder in a cylindrical duct filled with a compressible viscous fluid [1]. They presented approximated results for the frequency subjected to various parameters of the fluid. Tchomeni and Alugongo studied the oscillations of a faulted horizontal rigid rotor in a viscous fluid under the parametric excitation. The study demonstrated that the viscous fluid forces are the source of unwanted frequencies that initiates and expand the features of the crack along with the rotor lateral deflection shapes [3]. An effort is made to establish a mathematical model for analysing vibration of an unbalanced vertical rotor-stator rub system partially submerged in an inviscid fluid. For effective features extraction of some hidden rub features, the obtained highly nonlinear model has been studied based on the Time-Frequency techniques namely, Short Time Fourier Transform (STFT) and improved Nonlinear Wavelet Synchrosqueezed Transform (NWSST)

Vertical rotor system description and governing equations
Energy principle expression
Expression of potential energy
Mathematical expression of rub-contact
Hydrodynamic excitation force expressions
The general equations of motion
Numerical simulation results and discussions
Conclusions

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