Vibration and Deflection Analysis of Quadrilateral Sandwich Plate with Functionally Graded Core

This chapter presents the analysis of the vibration and deflection of a quadrilateral sandwich plate with a functionally graded core for different temperature conditions. The plate is made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC), and results are obtained with the help of ANSYS software. The uniform distribution (UD), functionally grading V type distribution (FG-V), functionally grading X type distribution, and functionally grading O type distribution are the four different distributions of the reinforcements grading that are taken into consideration as a core in the direction of thickness (FG-O). The uniformly distributed grading is applied to the face plate for all the cases. Young's modulus, mass density, and Poisson's ratio are all important material properties calculated by the extended rule of mixture with the CNT efficiency parameter, accounting for size dependence. Detailed analysis is done in this paper to reveal the effect of volume fraction and temperature on the natural frequency and central deflection of the quadrilateral sandwich plate, and compared it with the results of a normal quadrilateral plate. Numerical results are obtained and presented using Ansys R17.2 and MATLAB. The results suggested that UD-type grading has the highest natural frequency and lowest central deflection compared to other types of functionally grading material.

Keywords: CNT reinforcement, Functionally graded core, Sandwich plate, Volume fraction.