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<p>The main aim of the present study is to develop a meshfree Jacobi-radial point interpolation (Jacobi-RPI) method for the free vibration and stochastic response analyses of functionally graded eccentric sectorial and annular plates. The Hamilton’s principle is adopted to establish the equations of motion of the functionally graded material (FGM) eccentric sectorial plate in framework of first order shear deformation theory (FSDT). The eccentric sectorial plate is transformed into a simple square domain through the coordinate mapping technique, and the displacement components of the sectorial plate are approximated by using the meshfree Jacobi-RPI shape function. The equations of motion of the FGM eccentric annular plate are obtained by coupling the equations of several sectorial plates. The accuracy and reliability of the proposed method are validated through a sufficient number of numerical studies for the free vibration and dynamic response analysis of eccentric sectorial and annular plates. Finally, the effect of eccentric distance, material parameter and boundary condition on the free vibration and stochastic response of the FGM eccentric sectorial and annular plates is discussed.</p>

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A meshfree approach for free vibration and stationary stochastic response analyses of functionally graded eccentric sectorial and annular plates

  • 期刊论文

  • 发表日期：

    2025年6月19日

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  • Songhun Kwak,
  • Kwangil Ri,
  • Jinsim Kim,
  • Cholho Pang

摘要

The main aim of the present study is to develop a meshfree Jacobi-radial point interpolation (Jacobi-RPI) method for the free vibration and stochastic response analyses of functionally graded eccentric sectorial and annular plates. The Hamilton’s principle is adopted to establish the equations of motion of the functionally graded material (FGM) eccentric sectorial plate in framework of first order shear deformation theory (FSDT). The eccentric sectorial plate is transformed into a simple square domain through the coordinate mapping technique, and the displacement components of the sectorial plate are approximated by using the meshfree Jacobi-RPI shape function. The equations of motion of the FGM eccentric annular plate are obtained by coupling the equations of several sectorial plates. The accuracy and reliability of the proposed method are validated through a sufficient number of numerical studies for the free vibration and dynamic response analysis of eccentric sectorial and annular plates. Finally, the effect of eccentric distance, material parameter and boundary condition on the free vibration and stochastic response of the FGM eccentric sectorial and annular plates is discussed.