Dynamics of Multistage Bladed Disks Systems

Laxalde, Denis; Lombard, Jean-Pierre; Thouverez, Fabrice

doi:10.1115/1.2747641

Cited by 43 publications

(26 citation statements)

References 12 publications

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“…Its application to the study of coupled structures is not so straightforward however, and requires the assumption that the coupling effects between the so-called harmonic modes of the periodic structures are not taken into account (see [2,22] for further details). The related FRF is shown in Figure 11 along with the FE solution.…”

Section: Comparison With the Theory Of Cyclic Symmetrymentioning

confidence: 99%

A Wave Finite Element Strategy to Compute the Dynamic Flexibility Modes of Structures With Cyclic Symmetry and Its Application to Domain Decomposition

Mencik¹

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Section: Comparison With the Theory Of Cyclic Symmetrymentioning

confidence: 99%

A Wave Finite Element Strategy to Compute the Dynamic Flexibility Modes of Structures With Cyclic Symmetry and Its Application to Domain Decomposition

Mencik¹

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…For further details, please refer to [15]. In order to eliminate the duplicated cyclic components of the interstage boundary of stage s + 1 a rectangular coupling matrix is defined as…”

Section: Interstage Coupling and Assemblymentioning

confidence: 99%

“…The paper by Jacquet-Richardet et al [12], see also [3], describes a full 3D solid FE formulation to analyze spatially periodic systems (such as rotor assemblies with bladed disks). Practical application of it is somewhat limited by the assumption of same number of elementary sectors per rotor assembly, which can be worked around by employing the multi-stage cyclic symmetry coupling technique introduced in [15]. Spatial symmetry hypothesis of these techniques allows to reduce the size of the original problem by analyzing decoupled spatial harmonics separately.…”

Section: Introductionmentioning

confidence: 99%

Parameterized reduced order modeling of misaligned stacked disks rotor assemblies

Ganine¹,

Laxalde²,

Michalska³

et al. 2011

Journal of Sound and Vibration

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Light and flexible rotating parts of modern turbine engines operating at supercritical speeds necessitate application of more accurate but rather computationally expensive 3D FE modeling techniques. Stacked disks misalignment due to manufacturing variability in the geometry of individual components constitutes a particularly important aspect to be included in the analysis because of its impact on system dynamics. A new parametric model order reduction algorithm is presented to achieve this goal at affordable computational costs. It is shown that the disks misalignment leads to significant changes in nominal system properties that manifest themselves as additional blocks coupling neighboring spatial harmonics in Fourier space. Consequently, the misalignment effects can no longer be accurately modeled as equivalent forces applied to a nominal unperturbed system. The fact that the mode shapes become heavily distorted by extra harmonic content renders the nominal modal projection based methods inaccurate and thus numerically ineffective in the context of repeated analysis of multiple misalignment realizations. The significant numerical bottleneck is removed by employing an orthogonal projection onto the subspace spanned by first few Fourier harmonic basis vectors. The projected highly sparse systems are shown to accurately approximate the specific misalignment effects, to be inexpensive to solve using direct sparse methods and easy to parameterize with a small set of measurable eccentricity and tilt angle parameters. Selected numerical examples on an industrial scale model are presented to illustrate the accuracy and efficiency of the algorithm implementation.

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“…MacNeal et al 5 and Liu et al 13 respectively considered the influence of the high-order frequencies which were truncated, but the method was rather tedious. Laxalde et al 14 researched multistage cyclic structures and each stage was modeled by its elementary sector and the interstage coupling was achieved through a cyclic recombination of the interface DOF, but the FEM of each stage's sector was handled directly and it spent a lot of time and the efficiency was very low. The substructural CMS method was utilized by Yang et al 15 and Mao et al 16 in the frequency response function (FRF) analysis; the matrix dimension was reduced, the computational efficiency was increased, but the computational error was large.…”

Section: Introductionmentioning

confidence: 99%

Vibratory characteristic analysis of integral mistuned bladed disk assemblies for aeroengine

Bai

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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An improved hybrid interface substructural component modal synthesis method (IHISCMSM) is proposed to increase the computational efficiency of mistuned bladed disk assemblies (BDA) under the condition of meeting the computational accuracy for a large amount of calculation via the classical hybrid interface substructural component modal synthesis method (CHISCMSM). The parametric models of the blades and the disk are built to investigate each substructural finite element model. They are synthesized by the double coordinating conditions of the displacement and the force to obtain natural frequency and vibratory output response which will ensure the computational accuracy. Compared with the high fidelity integral structure finite element method (HFISFEM), the computational time is shortened by 23.86-31.56% and the modal deviation is 0.002-0.157% via IHISCMSM. It is faster by 4.46-10.57% than the CHISCMSM. Meanwhile, the factors which impact the frequency are researched by IHISCMSM, including rotational speed, gas temperature, and geometry size. It is shown that the rotational speed makes the frequency increased, the gas temperature makes it declined, the rotational speed has greater influence on the low-order modal, but the temperature has greater influence on the high-order modal. The frequency of the BDA does not change much when the rotational speed and temperature are both considered. However, the geometric dimensioning almost has no influence on the frequency. The vibratory output response is enlarged with the mistuned level increasing and multiple peaks are observed. The reason is that the combined action of the mistuning and the resonance. When the mistuned level is 0-3%, the incremental saltation of the output response is obvious. When the mistuned level is continuing increasing, the localization phenomenon of the output response does not much different from the mistuned level 3%. The above research lays a solid foundation for the further study on the probabilistic analysis of the mistuned BDA. KeywordsImproved hybrid interface substructural component modal synthesis method, integral mistuned bladed disk assemblies, vibratory characteristic analysis, computational efficiency, computational accuracy, vibratory output response Date

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Dynamics of Multistage Bladed Disks Systems

Cited by 43 publications

References 12 publications

A Wave Finite Element Strategy to Compute the Dynamic Flexibility Modes of Structures With Cyclic Symmetry and Its Application to Domain Decomposition

A Wave Finite Element Strategy to Compute the Dynamic Flexibility Modes of Structures With Cyclic Symmetry and Its Application to Domain Decomposition

Parameterized reduced order modeling of misaligned stacked disks rotor assemblies

Vibratory characteristic analysis of integral mistuned bladed disk assemblies for aeroengine

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