Free vibration analysis of electric-magneto-elastic functionally graded plate with uncertainty

Xie, Guangming; Tian, Juan

doi:10.21595/mme.2016.17891

Math. models, eng.

2016

DOI: 10.21595/mme.2016.17891

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Free vibration analysis of electric-magneto-elastic functionally graded plate with uncertainty

Guangming Xie¹,

Juan Tian²

Abstract: Abstract. Free vibration analysis of electric-magneto-elastic functionally graded plate with uncertain parameters is studied in this paper. The elastic, electric and magnetic parameters are regarded as interval variables. Interval analysis of electric-magneto-elastic functionally graded plate are carried out by introducing the interval algorithm into the dynamic equations. A simply supported electric-magneto-elastic functionally graded plate as a numerical example are provided to the validity of the method.

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2023

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Probabilistic and Fuzzy Nonlinear Discontinuous Aeroelastic Analysis of In-plane FG Panels in Supersonic Flow with Mechanical and Thermal In-plane Loadings

Hussein

2023

Arab J Sci Eng

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This paper is concerned with the uncertain discontinuous nonlinear aeroelastic behavior of in-plane bi-directional functionally graded (FG) metal nanocomposite panels. The panels are subjected to supersonic flow and in-plane mechanical and thermal loadings. This type of FG structures is manufactured using additive manufacturing technologies which might lead to uncertain properties of the manufactured parts due to manufacturing uncertainties, modeling uncertainties in the mathematical and physical formulations used to predict their properties, or uncertainties in the constituent materials properties themselves. These sources of uncertainties might be known with defined probability density functions or defined with uncertain intervals only (fuzzy). Therefore, the mechanical and thermal properties of the nanocomposite material are modeled as uncertain random variables or random fields with known probability distribution function (pdf) or uncertain fuzzy variables or fields with given intervals. The random fields are modeled using the Karhunen–Loève expansion (KLE), and the uncertain output variables are modeled using the Hermite polynomial chaos expansion method (HPCE). The effects of the material properties uncertainties type (fuzzy vs. probabilistic), the cross-correlation between the thermal and mechanical properties, the random fields properties (correlation length, stationary vs. non-stationary, etc.) on the dynamic stability thresholds and the nonlinear limit cycle oscillation are studied.

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Probabilistic and Fuzzy Nonlinear Discontinuous Aeroelastic Analysis of In-plane FG Panels in Supersonic Flow with Mechanical and Thermal In-plane Loadings

Hussein

2023

Arab J Sci Eng

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Free vibration analysis of electric-magneto-elastic functionally graded plate with uncertainty

Cited by 1 publication

References 13 publications

Probabilistic and Fuzzy Nonlinear Discontinuous Aeroelastic Analysis of In-plane FG Panels in Supersonic Flow with Mechanical and Thermal In-plane Loadings

Probabilistic and Fuzzy Nonlinear Discontinuous Aeroelastic Analysis of In-plane FG Panels in Supersonic Flow with Mechanical and Thermal In-plane Loadings

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