Functionally graded material (FGM) shells and plates, which eliminate interface problems and stress concentrations of composite laminated structures, are regarded as main structures for mechanical engineering, civil engineering, marine, automotive and many other applications. Recently, many scholars have paid their attention to numerical and experimental studies for mechanical behavior of various structures made of functionally graded materials.
Various methods such as Haar wavelet method, Jacobi–Ritz method, spectral-Tchebychev method, dynamic stiffness method, finite element method and meshfree method have been employed for the numerical analysis of composite structures. In recent years, the meshfree method that needs no meshes for discretization of problem domains has attracted significant attention of many scholars.
Kwak Song Hun, a researcher at the Faculty of Mechanical Science and Technology, has proposed a meshfree Jacobi-radial point interpolation (Jacobi-RPI) method for free vibration and stochastic response analyses of functionally graded eccentric sectorial and annular plates.
He adopted the Hamilton’s principle to establish motion equations of functionally graded material (FGM) eccentric sectorial plates in the framework of first order shear deformation theory (FSDT). He transformed the eccentric sectorial plate into a simple square domain by using the coordinate mapping technique, and approximated the displacement components of the sectorial plate by using the meshfree Jacobi-RPI shape function. He obtained motion equations of FGM eccentric annular plates by coupling the equations of several sectorial plates.
He has validated the accuracy and reliability of the proposed method through a sufficient number of numerical studies for the free vibration and dynamic response analysis of eccentric sectorial and annular plates.
For more information, please refer to his paper “A meshfree approach for free vibration and stationary stochastic response analyses of functionally graded eccentric sectorial and annular plates” in “Journal of the Brazilian Society of Mechanical Sciences and Engineering” (SCI).