Abstract

In this study, a rotor-bearing-runner system (RBRS) considering multiple nonlinear factors is established, and the complex nonlinear dynamic behavior of the coupling system is studied. The effects of excitation current, radial stiffness, and friction coefficient on dynamic characteristics are analyzed by numerical simulation. The research results show that the dynamic properties of the coupling system caused by different nonlinear factors are interactional. With the changes of different parameters, the RBRS presents multiple motion states, including periodic-n, quasi-periodic, and chaotic motion. The increase of the excitation current Ij has a certain inhibitory effect on the response amplitude of the system and makes the motion state of the system more complex, the chaotic motion wider, and the jump discontinuity enhanced. With the increase of radial stiffness kr, the motion complexity of the coupling system increases, the chaotic region increases, the response amplitude increases, and the vibration intensity increases. With the increase of the friction coefficient μ, the chaotic region increases first and decreases, the different motions alternate frequently, and the response amplitude gradually increases. This study can not only help to understand the dynamic characteristics of RBRS, but also help the stable operation of the generator set.

Highlights

  • A large-scale rotating generator set is a complex system involving many factors, such as mechanical and electromagnetic

  • Considered the rubbing force, Khanlo et al [8] studied the influence of bending-torsional coupling on the nonlinear dynamic behavior of the shaft–disc system

  • The complex nonlinear dynamic behavior of coupled systems is studied; the influences of the excitation current, radial stiffness, and friction coefficient on the dynamic characteristics was analyzed by numerical simulation, and discussed in detail through Bifurcation diagram, 3-D frequency spectrum, waveform, frequency, axis orbit, and Poincaré map

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Summary

Introduction

A large-scale rotating generator set is a complex system involving many factors, such as mechanical and electromagnetic. Considered the rubbing force, Khanlo et al [8] studied the influence of bending-torsional coupling on the nonlinear dynamic behavior of the shaft–disc system. The complex nonlinear dynamic behavior of coupled systems is studied; the influences of the excitation current, radial stiffness, and friction coefficient on the dynamic characteristics was analyzed by numerical simulation, and discussed in detail through Bifurcation diagram, 3-D frequency spectrum, waveform, frequency, axis orbit, and Poincaré map. In order to study the dynamic behavior of RBRS effectively, the finite element model of double rotor-bearing system of hydraulic turbine is modeled and simplified as four lumped mass points according to the structural characteristics of the system. Are the displacements of the rotor, combination bearing, turbine guide bearing, and runner in x and y directions and angles of orientation associated with the x and y axes, respectively. Where ξ is the relative position of rotor centroid and stator centroid

Nonlinear Dynamic Analysis of the RBRS
Comparison
Influence of Excitation
The diagram of of RBRS
Quasi-periodic
By give comparing the bifurcation diagrams the 3-D generator jof
The bifurcation diagram diagram of of RBRS
26. The of RBRS
30. Periodic-5
Conclusions
Full Text
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