Abstract

This paper describes the numerical and experimental investigation of the nonlinear vibration of a bladed Jeffcott rotor. The nonlinearity in the system is due to discontinuities caused by multiple contacts with an outer ring as well as the nonlinear deformation of the massless blades. Contacts occur since the rotor shaft is initially misaligned by displacing the outer ring in one direction. The aim of the paper is to develop a simple model of bladed rotor and verify whether the global dynamics of the numerical simulations can be observed experimentally. The experimental rig and data acquisition are presented in detail together with the experimental procedures. The results between the numerical simulation and experiments are compared in terms of bifurcation diagrams and waterfall plots. An overall correlation is observed between the numerical and experimental study in the case of stiff blades, with differences mainly in localized frequency ranges due to parameter variation.

Highlights

  • Rotor-to-stator rubbing is a malfunction that can occur in rotordynamics due to small clearances of the system

  • To keep the experimental study close to the numerical simulation, the bifurcation diagram was recorded by increasing the rotor speed step by step

  • The nonlinearity of the system is due to the blades making multiple contacts with the outer ring as well as the nonlinear deformation of the blade itself

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Summary

Introduction

Rotor-to-stator rubbing is a malfunction that can occur in rotordynamics due to small clearances of the system. It is known that very complex dynamic behaviour can occur in the case of non-smooth nonlinearities. It is necessary to model and verify experimentally the different types of dynamics that can appear in rotating machinery. Most of the rotor-to-stator rubbing has been studied by assuming cylinder-to-cylinder rubbing. The experimental validation of numerical simulations has usually been observed on simple mathematical models. Karpenko et al [1,2,3] found a positive correlation between analytical, numerical and experimental bifurcation diagrams of a Jeffcott rotor with a preloaded snubber ring. Gonsalves et al [4] developed a model of discontinuous Jeffcott rotor subjected to mass-unbalance forces. They found that the orbit plots and waterfall diagrams of

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