A fuzzy α-cut optimization analysis for vibration control of laminated composite smart structures under uncertainties

Awruch, Marcos D.F.; Gomes, Herbert Martins

doi:10.1016/j.apm.2017.10.002

Cited by 13 publications

(4 citation statements)

References 29 publications

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“…Thus, how to deal with the fuzzy variables is critical for system reliability analysis and design optimization. The fuzzy set decomposition theorem is a basic theorem in fuzzy set theory and a fuzzy set can be divided into a series of intervals byα level cut method with high accuracy in computation [1]. Thusα level cut method is usually applied to deal with fuzzy variables, but it is complex and computationally expensive.…”

Section: An Entropy-based Equivalent Conversion Methods 21 the Equivalent Conversion Methodsmentioning

confidence: 99%

“…Bagheri et al [2][3] proposed a fuzzy structure dynamic reliability analysis method by theα level cut optimization method based on genetic algorithm. Awruch et al [1] applied fuzzyα level cut method for optimization analysis under uncertainties. He et al [11] introduced the fuzzy set theory, changing failure probability function and dynamic fuzzy subset into Bayesian Networks method for the reliability analysis of multi-state system reliability analysis with fuzzy and dynamic information.…”

Section: Introductionmentioning

confidence: 99%

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Reliability-based design optimization under fuzzy and interval variables based on entropy theory

Gao¹,

Zhang²

2019

Eksploatacja i Niezawodność – Maintenance and Reliability

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Reliability-based design optimization undeR fuzzy and inteRval vaRiables based on entRopy theoRy opaRta na teoRii entRopii niezawodnościowa optymalizacja kon-stRukcji dla zmiennych Rozmytych i pRzedziałowych Reliability-based design optimization under fuzzy and interval variables is important in engineering practice. The interval MonteCarlo simulation (IMCS), extremum method, and saddlepoint approximation (SPA) can be used for reliability optimization issues contain only interval variables. Thus, how to deal with the fuzzy variables is critical for system reliability analysis and optimization design. The α-level cut method can be applied to deal with fuzzy variables but it is complex and computationally expensive. Therefore, an equivalent conversion method based on entropy theory is proposed in this paper, which can convert the fuzzy variables to the normal random variables to avoid the complex integral process. According to the equivalent conversion method, the entropybased sequential optimization and reliability assessment (E-SORA) is developed in combination with the worst case analysis (WCA) for reliability-based design optimization under fuzzy and interval variables. A numerical example about the reliability design of the crank-link mechanism under fuzzy and interval variables is solved by the E-SORA, double-loops method, and α-level cut algorithm, respectively, is used to demonstrate the accuracy and efficiency, and the results show that the proposed method is feasible for reliability-based design optimization under fuzzy and interval variables.

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Section: An Entropy-based Equivalent Conversion Methods 21 the Equivalent Conversion Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliability-based design optimization under fuzzy and interval variables based on entropy theory

Gao¹,

Zhang²

2019

Eksploatacja i Niezawodność – Maintenance and Reliability

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“…The FO positive position feedback compensator is studied in [48]. The optimal control algorithm such as the linear quadratic regulator (LQR) and the linear quadratic Gaussian (LQG) algorithms are also widely used for active vibration control of smart flexible plates [4,5,8,10,11,13,20,32,37,44,[49][50][51][52][53][54]. The major disadvantage of the LQR and the LQG algorithms is the fact that they require an exact mathematical model of the structure.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators

Zorić

Tomović

Obradović

et al. 2019

Journal of Sound and Vibration

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“…Despite these studies, there are few studies on the performance of piezoelectric controllers for composite materials accounting for uncertainty. In this regard, Awruch and Gomes (2018) investigated the fuzzy interval analysis approach to improve the structural response of smart laminated composite structures under vibration control and uncertainty parameters. The interval output of the system, such as natural frequency, vibration, and electrical control input energy, were examined to estimate the uncertainty in the properties of piezoelectric and composite materials, fiber orientation, and the thickness of layers.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

Badeleh

Fallah

2022

Journal of Intelligent Material Systems and Structures

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The implementation of deterministic design approaches in the presence of uncertainty is an adequate design task. Probabilistic methods are then used in structural design procedures, offering structural safety predictions. In this study, reliability-based analysis of a piezoelectric laminated composite plate subjected to the mechanical loads was investigated, accounting for the epistemic source of uncertainty. Material properties of the plate were considered temperature-dependent. The sophisticated mesh-free finite volume approach was employed to actively control the vibration of the temperature-dependent piezoelectric laminated composite plate through the first-order shear deformation principles. The induced vibration was treated as a non-stationary random process, and the generalized failure index was estimated using the first-passage probability concept by adopting the novel asymptotic sampling technique. The veracity of the suggested model was corroborated by alternate approaches in the literature, comprising the finite element approach. Furthermore, the temperature-dependent piezoelectric laminated composite plate with different ply orientations was considered to assess the safety index variation against changes in the ambient temperature and the laminate stacking orientation. The obtained results revealed that with increasing temperature, the reliability of the composite plate reduced. It was also realized that the reliability index is directly correlated with the piezoelectric voltage.

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A fuzzy α-cut optimization analysis for vibration control of laminated composite smart structures under uncertainties

Cited by 13 publications

References 29 publications

Reliability-based design optimization under fuzzy and interval variables based on entropy theory

Reliability-based design optimization under fuzzy and interval variables based on entropy theory

Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

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