Polynomial chaos expansion for permutation and cyclic permutation invariant systems: Application to mistuned bladed disks

Dréau, Juliette; Magnain, Benoît; Nyssen, Florence; Batailly, Alain

doi:10.1016/j.jsv.2021.116103

Cited by 6 publications

(3 citation statements)

References 62 publications

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“…[6][7][8][9][10] The mistuning will lead to more complicated vibration localization. [11][12][13][14] The mistuning may cause vibration localization leading to premature high-cycle fatigue. 15 A perturbation method is proposed to study mode localization and vibration localization.…”

Section: Introductionmentioning

confidence: 99%

Dynamic characteristics of vibration localization of mistuned bladed disk due to shroud and blade damages

Kan,

Wang,

Zhao

2023

Journal of Low Frequency Noise, Vibration and Active Control

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Dynamic behaviors of turbine blades are important for the dynamic design of whole-bladed disk systems. The bladed disk systems with shrouds are used to achieve advanced functions in operation. The shrouds are used to connect several blades as a bladed packet, and several bladed packets are assembled as a bladed disk. Previous researches mainly focus on the mistuning of the bladed disk. However, in operation, the shrouds often suffer damage and wear, and it will lead to shrouds mistuning. The shroud is a critical component for adjusting the coupling strength of the blade to the blade. The innovation of this paper is to study the coupling dynamics problem caused by blade mistuning and shroud damage. The localized vibration of the bladed disk is caused by the blade mistuning, and the shroud damage can also cause the localized vibration of the bladed disk. The coupling dynamic behaviors of bladed disk caused by blade mistuning and shroud damage are important. Therefore, the dynamic behaviors of a mistuned bladed disk with the shroud are important for the bladed disk. A numerical method is conducted to investigate the dynamic characteristics of the whole bladed disk with shroud. The coupling effect between shroud and blade mistuning on the dynamic behaviors of the bladed disk is researched. The numerical model is validated by assuming the shroud and blade mistuning is zero. The coupling effect of shroud and blade mistuning leads to the characteristics being more complicated. Bladed packet is the basic part of the bladed disk with shroud. In order to study the modal characteristics of bladed packets due to shroud, an experiment is conducted. It is worth noting that the first sub remains invariable with the increasing of stiffness ratio.

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Section: Introductionmentioning

confidence: 99%

Dynamic characteristics of vibration localization of mistuned bladed disk due to shroud and blade damages

Kan,

Wang,

Zhao

2023

Journal of Low Frequency Noise, Vibration and Active Control

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“…PCE is a superior method in the field of scientific computation concerning UQ. PCE is beneficial when compared with other methods when conducting uncertainty analysis [15][16][17][18] as follows:…”

Section: Introductionmentioning

confidence: 99%

Uncertainty quantification and global sensitivity analysis for composite cylinder shell via data-driven polynomial chaos expansion

Chen

Xin-hu

Shen

et al. 2022

J. Phys.: Conf. Ser.

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The mechanical properties of composite material exhibit inherent variation with uncertainty. Uncertainties in material properties propagate and result in uncertainties of mechanical performance of structure made of composite material. Polynomial chaos expansion (PCE) is implemented to carry out uncertainty quantification (UQ) and global sensitivity analysis (GSA) of cylinder shell made of composite material for this paper. A case study concerning eigenvalue buckling load of composite cylinder shell is investigated. Design of experiment (DOE) is conducted by utilizing Latin hypercubic sampling. Then data-driven PCE is established and later validated. Statistical moments (mean and standard deviation) and Sobol sensitivity indices of eigenvalue buckling load are obtained respectively. It is found that the PCE can serve as an efficient approach to handle UQ and GSA in engineering applications.

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“…In mechanics, it is assumed that the structures are perfectly symmetric but under repeated loading conditions, the certain elements of the structure bear a loss of stiffness (Altunışık et al 2019) (Beck et al 2014), which may lead to the loss of symmetry. The loss of symmetry in the repeating structures is called mistuning (Schwerdt, Panning-von Scheidt, and Wallaschek 2021) (Figaschewsky and Kühhorn 2015) and this can increase the stress level and can reduce the fatigue life of the disks (Dréau et al 2021) (Repetckii, Ryzhikov, and Nguyen 2018).…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of a mistuned fan blisk

Bashir

Mechanical

Rehman

et al. 2021

JER is an international, peer-reviewed journal that publishes f

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Turbomachinery has a vital role in the industrial engineering and the bladed disks such as; compressor, impeller pumps, turbine generator and jet engines are the critical components of turbomachinery. This work is focused on the “mistuning effect” of bladed disks of a turbine, which creates the lack of symmetry and ultimately damages the turbine blade. In order to completely understand the severity of the damage caused by the mistuning effect on the turbine disk, the study and analysis of the model parameters is very important. This work provides an insight to the various effects caused by the presence of crack and mistuning levels, in the mistuned turbine blisk, by using smeared material properties and modal assurance criterion (MAC) techniques. Moreover, a mistuned blisk model with four cracks (at various locations and different depth levels) has been developed and compared with the tuned blisk model, in order to determine the severity of damage occurred. The MAC results indicate that the severity of damage may vary depending on the location and depth of the crack and mistuning may alter the dynamic and vibrational characteristics of the structure.

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Polynomial chaos expansion for permutation and cyclic permutation invariant systems: Application to mistuned bladed disks

Cited by 6 publications

References 62 publications

Dynamic characteristics of vibration localization of mistuned bladed disk due to shroud and blade damages

Dynamic characteristics of vibration localization of mistuned bladed disk due to shroud and blade damages

Uncertainty quantification and global sensitivity analysis for composite cylinder shell via data-driven polynomial chaos expansion

Modeling and analysis of a mistuned fan blisk

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