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Composite materia1s are manufactured by the association of various materials to have properties better than those of each component. Among the contributions of this article, the vo1ume fraction of the function gradient material (FGM) is detailed and the material properties are explicitly given. The Eu1er Bernou1li theory is applied for the objective of studying the bending vibration of the FGM beam. The wave finite e1ement (WFE) approach is briefly presented and app1ied in order to characterize the dispersion curves. The mass and stiffness matrices are formulated using the finite e1ement approach and introduced in the WFE approach to extract the wave number. The probabilistic tools will be exploited for the purpose of modeling the uncertainties in the geometric and mechanical parameters. The Monte Carlo technique is used to study the uncertain parameters. A Gaussian distribution of stochastic variab1es is introduced and various draws of the dispersion curves are simulated through the WFE technique based on the mode1ing of the composite beam. The simu1ations of the mean and the standard deviation of the wave number are offered using Monte Car1o approach.

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Stochastic Wave Finite Element Method in Uncertain Function Gradient Material Structure

  • 会议论文

  • 发表日期：

    2025年

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  • Faker Bouchoucha,
  • Henia Arfa,
  • Raslen Nemer,
  • Mohamed Ichchou

摘要

Composite materia1s are manufactured by the association of various materials to have properties better than those of each component. Among the contributions of this article, the vo1ume fraction of the function gradient material (FGM) is detailed and the material properties are explicitly given. The Eu1er Bernou1li theory is applied for the objective of studying the bending vibration of the FGM beam. The wave finite e1ement (WFE) approach is briefly presented and app1ied in order to characterize the dispersion curves. The mass and stiffness matrices are formulated using the finite e1ement approach and introduced in the WFE approach to extract the wave number. The probabilistic tools will be exploited for the purpose of modeling the uncertainties in the geometric and mechanical parameters. The Monte Carlo technique is used to study the uncertain parameters. A Gaussian distribution of stochastic variab1es is introduced and various draws of the dispersion curves are simulated through the WFE technique based on the mode1ing of the composite beam. The simu1ations of the mean and the standard deviation of the wave number are offered using Monte Car1o approach.