Abstract
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.