Robust Analysis of Design in Vibration of Turbomachines

Mbaye, Magatte; Soize, Christian; Ousty, Jean-Philippe; Capiez‐Lernout, Evangéline

doi:10.1115/1.4007442

Cited by 27 publications

(16 citation statements)

References 28 publications

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“…The prior probability model of the reduced matrix of the generalized fluid forces is constructed similarly to the construction of ensemble SE rect of random real matrices presented in Section 5.4.8.4, but for complex matrices as explained in [132,170]. The prior probability model of the reduced matrix of the generalized fluid forces is constructed similarly to the construction of ensemble SE rect of random real matrices presented in Section 5.4.8.4, but for complex matrices as explained in [132,170].…”

Section: Robust Analysis Of the Dynamic Stability Of A Pipe Conveyingmentioning

confidence: 99%

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Uncertainty Quantification

Soize

2017

Interdisciplinary Applied Mathematics

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131

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Section: Robust Analysis Of the Dynamic Stability Of A Pipe Conveyingmentioning

confidence: 99%

“…[Figure from[132]] This figure shows that there exist configurations of the random geometry of the bladed disk that yield amplification factors higher than 2.…”

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confidence: 99%

Uncertainty Quantification

Soize

2017

Interdisciplinary Applied Mathematics

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131

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“…The operator needs to pass through some transformations before we can apply the nonparametric probabilistic approach, similar to what was done in [18]. Lets first do the polar decomposition (omitting the dependence on U to simplify the notation):…”

Section: Probabilistic Modelmentioning

confidence: 99%

Stability and Response Analysis of a Pipe With Internal Flow Analyzed With an Uncertain Computational Model

Ritto¹,

Soize²,

Rochinha³

et al. 2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. This paper treats the problem of pipes conveying fluid, which has several engineering applications, such as micro-systems and drill-string dynamics. The aim of this work is twofold: (1) propose a stochastic model for the fluid-structure interaction considering modeling errors and (2) analyze the stability of the stochastic system. The Euler-Bernoulli model is used to model the pipe and the plug flow model is used to take into account the presence of the internal flow. The resulting differential equation is discretized by means of the finite element method and a reduced-order model is constructed with the normal modes of the beam model. A variation of the nonparametric probabilistic approach is used to model uncertainties in the fluid-structure interaction, since this approach is able to take into account modeling errors. The numerical results show how the random response of the system changes for different levels of uncertainties.The probability of instability is also computed for different levels of uncertainties.

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“…Such phenomena, referred to mistuning, can generate localization effects combined to a dynamic amplification of the forced response [1]. Many research efforts have been carried out on this subject, including reduced-order models with probabilistic approaches in the numerical modeling, for taking into account the random character of mistuning [2,3] and giving rise to strategies for the robust design of such structures [4]. Another essential aspect is to consider the geometric nonlinear effects in the computational models occurring when exceptional operating speeds of bladed disks are analyzed due to geometric nonlinearities induced by large deformations and large displacements [5,6].…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Quantification in Nonlinear Structural Dynamics for Mistuned Bladed Disks

Capiez‐Lernout¹,

Soize²,

Mbaye³

2015

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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Abstract. The recent improvements in turbomachinery design combined to the unavoidable requirements of kerosene savings require to analyze the exceptional operating regime of bladed disks, for which large deformations and large displacements can occur. It seems then quite appropriate to consider the geometrically nonlinear effects in the computational models dedicated to the analysis of mistuned turbomachinery bladed-disks. A special attention has to be first given to the case of geometrically nonlinear tuned bladed disks. The large set of nonlinear coupled differential equations issued from the finite element model of the tuned structure has to necessarily be solved in the time domain, leading us to establish a reduced-order strategy. The operators of the corresponding mean nonlinear reduced-order model are then deduced from its explicit construction as shown in the context of three-dimensional solid finite elements. One also has to focus on the modeling of the external load, corresponding to a frequency band chosen for the excitation, which has to be selected according to usual turbomachinery criterions. The external load has to be defined in the time domain but has to represent a uniform sweep in the frequency domain. We then propose to implement the mistuning uncertainties by using the nonparametric probabilistic framework . We then obtain a stochastic reduced-order model, which requires to solve a reasonable set of uncertain nonlinear coupled differential equations in the time domain, yielding appropriate efficient and dedicated algorithms to be constructed. Such computational strategy provides an efficient computational tool, which is applied on a finite element model of an industrial centrifugal compressor with a large number of degrees of freedom. This allows new high complex dynamical behaviors to be put in evidence.

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Robust Analysis of Design in Vibration of Turbomachines

Abstract: To cite this version:M. Mbaye, Christian Soize, J.-P. Ousty, Evangéline Capiez-Lernout. Robust analysis of design in vibration of turbomachines. ASME Journal of Turbomachinery, 2013, 135 (2)

Cited by 27 publications

References 28 publications

Uncertainty Quantification

Uncertainty Quantification

Stability and Response Analysis of a Pipe With Internal Flow Analyzed With an Uncertain Computational Model

Uncertainty Quantification in Nonlinear Structural Dynamics for Mistuned Bladed Disks

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