In general, FGM structures are subjected to various external excitations such as earthquakes, winds, thermal load and jet noise in their operation. Therefore, studying the dynamic behavior of composite structures under different types of external load is considered an important task.
Kim Jin Mi, a student at the Faculty of Mechanical Science and Technology, analyzed the free vibration and stationary stochastic response of functionally graded (FG) rectangular plates with varying thickness in supersonic flow and thermal environment.
She investigated two types of material property variations of FG plates with varying thickness: variations along the direction perpendicular to the mid-surface and the bottom surface.
Considering the effects of aerodynamic pressure and thermal load, she derived governing equations of motion of FG plates with varying thickness using Hamilton’s principle within the framework of first-order shear deformation theory. Then, she constructed a meshfree Jacobi radial point interpolation (Jacobi-RPI) shape function by combining the Jacobi polynomials and radial basis to approximate the displacement components of the plate.
She confirmed the accuracy and reliability of the proposed approach through sufficient comparisons with numerical results from the published literature and the finite element software ABAQUS.
For more information, please refer to her paper “Meshfree Dynamic Analysis of Functionally Graded Rectangular Plates with Varying Thickness in Supersonic Flow and Thermal Environment” in “Acta Mechanica Solida Sinica” (SCI).