Intentional Response Reduction by Harmonic Mistuning of Bladed Disks With Aerodynamic Damping

Willeke, Sebastian; Schwerdt, Lukas; Scheidt, Lars Panning‐von; Wallaschek, Jörg

doi:10.1115/1.4040898

Cited by 6 publications

(4 citation statements)

References 16 publications

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“…Besides, the SW modes defined by Eq. (3) are modified as [14]: (12) where the angle  depends on the constants K and M and is referred to as mode clocking.…”

Section: Kk ψψmentioning

confidence: 99%

Identification of the Essential Features of the Transient Amplification of Mistuned Systems

Carassale¹,

Deno\xebl²,

Martel³

et al. 2021

Preprint

Self Cite

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The dynamic behavior of bladed disks in resonance crossing has been intensively investigated in the community of turbomachinery, addressing the attention to (1) the transienttype response that appear when the resonance is crossed with a finite sweep rate and (2) the localization of the vibration in the disk due to the blade mistuning. In real conditions, the two mentioned effects coexist and can interact in a complex manner. This paper investigates the problem by means of analytic solutions obtained through asymptotic expansions, as well as numerical simulations. The mechanical system is assumed as simple as possible: a 2-dof linear system defined through the three parameters: damping ratio , frequency mistuning , rotor acceleration  . The analytic solutions are calculated through the multiple-scale method.

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“…Besides, the SW modes defined by Eq. (3) are modified as [14]: (12) where the angle  depends on the constants K and M and is referred to as mode clocking.…”

Section: Kk ψψmentioning

confidence: 99%

Identification of the Essential Features of the Transient Amplification of Mistuned Systems

Carassale¹,

Deno\xebl²,

Martel³

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Willeks et al [38] studied the response reduction of the bladed disks with the aerodynamic damping by using the harmonic mistuning. Gao et al [39] gave the application of the hard-coating damper to the mistuned blisk for the passive vibration reduction.…”

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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“…Han and Mignolet [37] predicted the forced dynamic responses of the damped mistuned disk. Willeks et al [38] studied the response reduction of the bladed disks with the aerodynamic damping by using the harmonic mistuning. Gao et al [39] gave the application of the hard-coating damper to the mistuned blisk for the passive vibration reduction.…”

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. 2021

Preprint

View full text Add to dashboard Cite

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.

show abstract

Intentional Response Reduction by Harmonic Mistuning of Bladed Disks With Aerodynamic Damping

Cited by 6 publications

References 16 publications

Identification of the Essential Features of the Transient Amplification of Mistuned Systems

Identification of the Essential Features of the Transient Amplification of Mistuned Systems

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

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