Uncertainty quantification of bladed disc systems using data driven stochastic reduced order models

Kumar, Rahul; Ali, Shaikh Faruque; Jeyaraman, Sankarkumar; Gupta, Sayan

doi:10.1016/j.ijmecsci.2020.106011

Cited by 11 publications

(3 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The challenges involved here include extending a PCE-based stochastic reduced order model for a rotating bladed disc system, using ROM for carrying out a probabilistic analysis of its dynamical behaviour, quantifying the effects of the uncertainties in the system parameter random fields on its response and estimating the failure probability with respect to specific failure criteria. The proposed method extends the formulation of an earlier study [34] developed for a nonrotating bladed disc system where a two-pronged dimensional reduction approach was adopted. Here, the state space dimensionality was significantly reduced by adopting the system equivalent reduction expansion process (SEREP) and subsequently a PCE-based surrogate was developed.…”

Section: Introductionmentioning

confidence: 94%

Stochastic reduced order modelling and analysis of rotating bladed discs

2022

Self Cite

View full text Add to dashboard Cite

A computational finite-element (FE)-based technique is proposed for developing a stochastic reduced order model for rotating bladed disc with spatial random inhomogeneities. The spatial inhomogeneities imply the system to be randomly mistuned. The formulation assumes the availability of a high fidelity FE model for the tuned system. The corresponding FE matrices are antisymmetric on account of the Coriolis forces due to rotation. The spatial inhomogeneities, available from limited point measurements on the blades, are modelled as non-Gaussian random fields with arbitrary distributions. A low order stochastic computational model is developed by projecting the FE model onto a reduced dimensional state space defined in terms of specified observable nodal points and expressing the stochasticity through an arbitrary polynomial chaos (aPC) basis. This model enables probabilistic quantification of the variabilities in the system response and estimating failure probabilities. The methodology enables drastic reduction in the state space and stochastic dimensions, addresses the practical difficulties with having limited measurable data points, antisymmetric FE matrices, aPC representation in complex irregular geometries and carrying out probabilistic analyses on industrial systems, at significantly reduced computational costs. The methodology is illustrated through an academic rotor and an industrial rotor blade.

show abstract

Section: Introductionmentioning

confidence: 94%

Stochastic reduced order modelling and analysis of rotating bladed discs

2022

Self Cite

View full text Add to dashboard Cite

show abstract

“…The effects of the opposite and in-phase modes of adjacent blades on the efficiency of the damper are studied. Kumar [14] focussed on the development of stochastic reduced order model for probabilistic characterisation of bladed disc systems with random spatial inhomogeneities. High fidelity finite element modelling is used to mathematically model the system.…”

Section: Introductionmentioning

confidence: 99%

“…Figs [12][13][14][15][16][17]. shows the distribution of strain energy of each blade disk at the resonance peak of tuned and mistuned bladed disk system.It can be seen from Fig.11to Fig.17, the resonance frequency is around 1100 Hz or 1980 Hz, the strain energy is mainly concentrated in the second stage bladed disk, dominated by blade vibration, the resonance frequency is near 1980 Hz and the strain energy is large.…”

mentioning

confidence: 99%

Vibration characteristics of mistuned multistage bladed disks of the aero-engine compressor

Zhang¹,

Feng²,

You³

et al. 2022

J. vibroeng.

View full text Add to dashboard Cite

In order to analyze the vibration characteristics of mistuned multistage bladed disks of an aero-engine compressor, a finite element reduction model of mistuned multistage bladed disks is established based on substructure modal synthesis method. The accuracy of the substructure model was verified by comparing calculation accuracy of the substructure model and the integral model. The influence of different modal truncation numbers on the calculation results are discussed. The vibration modes of each stage of the bladed disks are obtained, the forced response is analyzed from the perspective of strain energy. The result shows that modal truncation number, rotation softening effect, and speed have significant effects on the dynamic frequency calculation results of the multistage bladed disks. The typical mode shapes of the first 200 orders of multistage bladed disks are obtained. With the increase of mistuning standard deviation, the strain energy of multistage bladed disk system decreases gradually.

show abstract