Application of extremum response surface method-based improved substructure component modal synthesis in mistuned turbine bladed disk

Bai, Baojun; Li, Han; Zhang, Wei; Cui, Yanchao

doi:10.1016/j.jsv.2020.115210

Cited by 70 publications

(27 citation statements)

References 32 publications

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“…(1) experimental design, that is to determine the sample points and structural response values [29]; (2) select the response surface function that meets the structural functional requirements [30]; and (3) fit the response surface function and verify the model accuracy [31,32]. For example, Saha et al [33] used the Monte Carlo method to study the discreteness of the parameters of the tank structure and carried out the seismic fragility assessment based on the response surface method.…”

Section: Introductionmentioning

confidence: 99%

“…Tran et al [34] carried out the seismic fragility assessment of nuclear power plants based on the response surface method and plotted the fragility curves by the maximum likelihood estimation method and linear regression method, respectively. Since the response surface functions often take the form of summation of several complete polynomials, when there are too many structural parameters, the applicability of the model greatly reduces and the solution of the response surface function tends to fall into a "curse of dimensionality" [30,[35][36][37].…”

Section: Introductionmentioning

confidence: 99%

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Embankment Seismic Fragility Assessment under the Near‐Fault Pulse‐like Ground Motions by Applying the Response Surface Method

Che

Yin

Zhou

et al. 2021

Shock and Vibration

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Uncertainties of the ground motions and structural parameters are the main factors that limit the accuracy of embankment seismic fragility assessment. In response to the uncertainties of the ground motions, artificial synthesizing method of the near-fault pulse-like ground motions was proposed, and 15 ground motions with the rupture fault distances ranging from 1 to 15 km were synthesized by taking the Chi-Chi earthquake in Taiwan, China, as an example. The Xi’an-Baoji expressway K1125 + 470 embankment was taken as the research object, and a total of 12 structural parameters were selected as the design variables, namely, the elastic modulus, bulk modulus, shear modulus, density, cohesion force, and internal friction angle of the embankment fill and soil foundation, respectively. In response to the uncertainties of these parameters, 3 principal components with large impacts on the embankment seismic fragility were extracted based on the principal component analysis. Mapping relationships among the principal components and embankment seismic damages were analyzed using the uniform design response surface method, and the seismic fragility assessment was carried out and the fragility curves were plotted. The research results are consistent with the actual embankment seismic damage conditions of the Chi-Chi earthquake, indicating that the proposed method is scientific and reasonable. It also shows that it would obviously overestimate the seismic performance in the embankment seismic fragility assessment without considering the uncertainties of the ground motions and structural parameters.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Embankment Seismic Fragility Assessment under the Near‐Fault Pulse‐like Ground Motions by Applying the Response Surface Method

Che

Yin

Zhou

et al. 2021

Shock and Vibration

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“…Battiato et al [ 8 ] experimentally investigated the vibration response of the spinning bladed disk system. Bai et al [ 9 ] employed an extremum response surface method-based improved substructural component modal synthesis to study the vibration behavior of a mistuned bladed disk structure. These previous studies showed that a continuous increase in the spinning speed frequently leads to excessive vibration of the system.…”

Section: Introductionmentioning

confidence: 99%

Coupled Free Vibration of Spinning Functionally Graded Porous Double-Bladed Disk Systems Reinforced with Graphene Nanoplatelets

Zhao

Zhang

et al. 2020

Materials

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This paper presents, for the first time, the mechanical model and theoretical analysis of free vibration of a spinning functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) porous double-bladed disk system. The nanocomposite rotor is made of porous metal matrix and graphene nanoplatelet (GPL) reinforcement material with different porosity and nanofillers distributions. The effective material properties of the system are graded in a layer-wise manner along the thickness directions of the blade and disk. Considering the gyroscopic effect, the coupled model of the double-bladed disk system is established based on Euler–Bernoulli beam theory for the blade and Kirchhoff’s plate theory for the disk. The governing equations of motion are derived by employing the Lagrange’s equation and then solved by employing the substructure mode synthesis method and the assumed modes method. A comprehensive parametric analysis is conducted to examine the effects of the distribution pattern, weight fraction, length-to-thickness ratio, and length-to-width ratio of graphene nanoplatelets, porosity distribution pattern, porosity coefficient, spinning speed, blade length, and disk inner radius on the free vibration characteristics of the FG-GPLRC double-bladed disk system.

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“…However, the researches are still in the initial stage 14,15 . At present, the Birnbaum importance degree (ID) theory has been widely used in subsystem identification, maintenance resource allocation, reliability growth, and so on 16–18 . Nevertheless, these studies only show the ID of each subsystem, and there is no quantitative comparison between them.…”

Section: Introductionmentioning

confidence: 99%

Research on multiple‐state industrial robot system with epistemic uncertainty reliability allocation method

Bai

Zhang

et al. 2020

Quality & Reliability Eng

Self Cite

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Reliability allocation of industrial robot (IR) system is one of the important means to improve its whole life cycle, reduce maintenance cost, and characterize weak subsystems. The IR system is not only very complex but also has strong customization; meanwhile, its sample data are small, resulting in unclear degeneration and failure. Based on the above two epistemic uncertainties, a new methodology called multiple‐state IR system reliability allocation method with epistemic uncertainty (MIRS‐RAM‐EU) is proposed. First, the Dempster‐Shafer (D‐S) evidence theory is used to quantify the epistemic uncertainty. Then, the Kolmogorov differential equations of MIR's subsystems are calculated. The reliability index of MIRS is allocated based on Birnbaum importance degree theory, and the reliability allocation coefficient of each IR subsystem is clearly expressed by this method. Finally, compared with traditional importance allocation method, the MIRS‐RAM‐EU is more efficient and accurate. This method is usefully directive for reliability evaluation of IR.

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Application of extremum response surface method-based improved substructure component modal synthesis in mistuned turbine bladed disk

Cited by 70 publications

References 32 publications

Embankment Seismic Fragility Assessment under the Near‐Fault Pulse‐like Ground Motions by Applying the Response Surface Method

Embankment Seismic Fragility Assessment under the Near‐Fault Pulse‐like Ground Motions by Applying the Response Surface Method

Coupled Free Vibration of Spinning Functionally Graded Porous Double-Bladed Disk Systems Reinforced with Graphene Nanoplatelets

Research on multiple‐state industrial robot system with epistemic uncertainty reliability allocation method

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