Free Vibrational Behavior of Bi-Directional Functionally Graded Composite Panel with and Without Porosities Using 3D Finite Element Approximations

The frequency characteristics of bi-directional functionally graded (FG) rectangular panels with and without porosities are examined in this work using 3D finite element approximations. The properties of graded panel consist metal and ceramic material varied smoothly in bi-direction. The material properties of this highly heterogeneous material are obtained using the Voigt material model and Power-law. The present model is developed using a customized computer code and discretized using three-dimensional solid 20-noded quadrilateral elements. The mesh refinement is conducted to present the convergence test. The validation test is presented by showing comparison of the obtained findings with the results reported in the previous literature. At a later stage, comprehensive parametric research is presented through numerical illustrations which reveal that the geometrical and material parameters of bi-directional functionally graded panel affect its frequency characteristics, significantly. Finally, the developed 3D FEM model to predict the free vibrational characteristics of multidirectional FG rectangular plates with and without porosities will be the reference for the continuation of research in this area.

Automated summary

In this work, the frequency characteristics of bi-directional functionally graded rectangular panels with and without porosities are studied using 3D finite element approximations. The developed model is validated by comparing the obtained findings with previous literature. Parametric research is conducted to investigate the influence of geometrical and material parameters on the frequency characteristics of the panels. The developed 3D FEM model will serve as a reference for future research in this area.