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The present paper aims to study vibrational behavior of plates with functional gradient material, considering different boundary constraints. The applied boundary conditions on the plate edge can be of type simply supported, clamped or free. The material properties of the plate are made from a mixture of metal and ceramic with a graded variation of their mechanical properties in z-axis. The theoretical modeling involves 4-noded tetrahedron finite element with three degrees of freedom (D.O.F.s) to simulate natural frequencies of functional gradient plate under different boundary conditions. The mass and stiffness matrices are derived via variational form of equilibrium equations related to finite element framework. First, the feasibility and correctness of the model is verified through comparison studies of the obtained frequencies and the previous works in literature. Next, parametric analyses on applied boundary conditions and graded index on vibrational behavior of functionally graded plate are examined and shown.

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Vibrational Study on Plate with Functional Gradient Material and Various Boundary Conditions

  • 会议论文

  • 发表日期：

    2025年

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  • Souhir Zghal,
  • Ahlem Karmi,
  • Ayman Hadrich,
  • Zoubeir Bouaziz

摘要

The present paper aims to study vibrational behavior of plates with functional gradient material, considering different boundary constraints. The applied boundary conditions on the plate edge can be of type simply supported, clamped or free. The material properties of the plate are made from a mixture of metal and ceramic with a graded variation of their mechanical properties in z-axis. The theoretical modeling involves 4-noded tetrahedron finite element with three degrees of freedom (D.O.F.s) to simulate natural frequencies of functional gradient plate under different boundary conditions. The mass and stiffness matrices are derived via variational form of equilibrium equations related to finite element framework. First, the feasibility and correctness of the model is verified through comparison studies of the obtained frequencies and the previous works in literature. Next, parametric analyses on applied boundary conditions and graded index on vibrational behavior of functionally graded plate are examined and shown.