The stability and nonlinear analysis of a rotating bladed disk at the critical speed

Najafi, Asghar

doi:10.1007/s00419-017-1316-z

Cited by 6 publications

(3 citation statements)

References 26 publications

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“…Gu et al [47] investigated the free vibration of the rotating cantilever pre-twisted panel with the geometric imperfection of the initial exponential function type. Najafi [48] researched the stability and nonlinear vibrations of a rotating bladed disk at the critical speed. The influences of different parameters on the bifurcations are analyzed by using numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear and dual-parameter chaotic vibrations of lumped parameter model in blisk under combined aerodynamic force and varying rotating speed

Zhang

et al. 2022

Nonlinear Dyn

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In this paper, the nonlinear and dual-parameter chaotic vibrations are investigated for the blisk structure with the lumped parameter model under combined the aerodynamic force and varying rotating speed. The varying rotating speed and aerodynamic force are respectively simplified to the parametric and external excitations. The nonlinear governing equations of motion for the rotating blisk are established by using Hamilton's principle.The free vibration and mode localization phenomena are studied for the tuning and mistuning blisks. Due to the mistuning, the periodic characteristics of the blisk structure are destroyed and uniform distribution of the energy is broken. It is found that there is a positive correlation between the mistuning variable and mode localization factor to exhibit the large vibration of the blisk in a certain region. The method of multiple scales is applied to derive four-dimensional averaged equations of the blisk under 1:1 internal and principal parametric resonances. The amplitude-frequency response curves of the blisk are studied, which illustrate the influence of different parameters on the bandwidth and vibration amplitudes of the blisk. Lyapunov exponent, bifurcation diagrams, phase portraits, waveforms and Poincare maps are depicted. The dual-parameter Lyapunov exponents and bifurcation diagrams of the blisk reveal the paths leading to the chaos. The influences of different parameters on the bifurcation and chaotic vibrations are analyzed. The numerical results demonstrate that the parametric and external excitations, rotating speed and damping determine the occurrence of the chaotic vibrations and paths leading to the chaotic vibrations in the blisk.

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Section: Introductionmentioning

confidence: 99%

Nonlinear and dual-parameter chaotic vibrations of lumped parameter model in blisk under combined aerodynamic force and varying rotating speed

Zhang

et al. 2022

Nonlinear Dyn

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Section: Introductionmentioning

confidence: 99%

“…4 By simplifying the rotor system model, the critical speed and rotor modal could be calculated, which will play an important role in guiding the actual production. 5 Additionally, the rotor system would be influenced by the force of the fluid during the actual operation because of its special structure, which has significant impact on dynamic characteristics. 6 In recent years, since the stability of rotor system is the dominant factor affecting the life of turbomachinery, so plenty of research on the rotor dynamics has been conducted by theory analysis and numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

Transient response analysis of cantilever multistage centrifugal pump based on multi-source excitation

Jiang

Zhou

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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A stainless-steel cantilever multistage centrifugal pump was taken to study the transient response characteristic. The axial locus under different working conditions was tested experimentally and compared in detail. The results show that the gyroscopic effect increases the radial displacement located near the end element, and the amplitude of the radial displacement of the pump body increases with the development of unbalance mass. The dynamic sealing force of wear-ring could enhance the stability of the rotor system, and effectively reduce the amplitude of the radial displacement. The axis locus under variable flow rates is different when the fluid excitation was loaded. The increasing tendency of the maximal radial displacement appears exponential with the enhancement of fluid added mass when heterogeneous fluid added mass is taken into consideration. The experimental results exhibit that the axis locus is various under different working conditions, and there exists misalignment and eccentricity phenomenon in the multi-stage pump rotor system.

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Stability and modal analysis of an unbalanced asymmetric multi-disk rotor system on bearings as viscoelastic substrate

2022

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The stability and nonlinear analysis of a rotating bladed disk at the critical speed

Cited by 6 publications

References 26 publications

Nonlinear and dual-parameter chaotic vibrations of lumped parameter model in blisk under combined aerodynamic force and varying rotating speed

Nonlinear and dual-parameter chaotic vibrations of lumped parameter model in blisk under combined aerodynamic force and varying rotating speed

Transient response analysis of cantilever multistage centrifugal pump based on multi-source excitation

Stability and modal analysis of an unbalanced asymmetric multi-disk rotor system on bearings as viscoelastic substrate

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