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<p>In this paper, the free vibration and stationary stochastic response of functionally graded (FG) rectangular plates with varying thickness in supersonic flow and thermal environment are analyzed. Two types of material property variations of FG plates with varying thickness are considered: the variation along the direction perpendicular to the mid-surface and that along the direction perpendicular to the bottom surface. Considering the effects of aerodynamic pressure and thermal load, the governing equations of motion of FG plates with varying thickness are derived using Hamilton’s principle within the framework of first-order shear deformation theory. A meshfree Jacobi radial point interpolation (Jacobi-RPI) shape function is constructed by combining the Jacobi polynomials and radial basis to approximate the displacement components of the plate. The accuracy and reliability of the present approach are confirmed through sufficient comparisons with numerical results from the published literature and the finite element software ABAQUS. Finally, the effects of different parameters on the free vibration and stationary stochastic response of FG plates are investigated.</p>

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Meshfree Dynamic Analysis of Functionally Graded Rectangular Plates with Varying Thickness in Supersonic Flow and Thermal Environment

  • 期刊论文

  • 发表日期：

    2025年6月6日

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  • Jinmi Kim,
  • Kwangil Ri,
  • Songhun Kwak,
  • Unbok Jong

摘要

In this paper, the free vibration and stationary stochastic response of functionally graded (FG) rectangular plates with varying thickness in supersonic flow and thermal environment are analyzed. Two types of material property variations of FG plates with varying thickness are considered: the variation along the direction perpendicular to the mid-surface and that along the direction perpendicular to the bottom surface. Considering the effects of aerodynamic pressure and thermal load, the governing equations of motion of FG plates with varying thickness are derived using Hamilton’s principle within the framework of first-order shear deformation theory. A meshfree Jacobi radial point interpolation (Jacobi-RPI) shape function is constructed by combining the Jacobi polynomials and radial basis to approximate the displacement components of the plate. The accuracy and reliability of the present approach are confirmed through sufficient comparisons with numerical results from the published literature and the finite element software ABAQUS. Finally, the effects of different parameters on the free vibration and stationary stochastic response of FG plates are investigated.