On the supersonic vibrations of the advanced composite quasi-3D hyperbolic refined high-order sector annular/circular structure in thermal environment

Abstract

Functionally graded materials (FGMs) have been used in many high-tech engineering fields because they could improve material properties. Some well-known applications of these materials are over different geometrical shapes like shells and plates. Multi-directional FGMs have the main role in the improvement of multi-functional materials by introducing modern materials. A detailed study of sector annular/circular disks with different thickness directions has been carried out. In practice, the material properties need to be categorized in other directions as well. Sector annular/circular disks made of multi-dimensional FGM (MD-FGM) are vulnerable to high-temperature gradients and enormous deflections. Using the discrete singular convolution method (DSCM), we investigated asymmetric deformations of MD-FG sector annular/circular disk tolerating thermo-aerodynamics loads. What makes this research unique is using thickness classification for the material properties of the disk while radial and circumferential directions follow an exponential trend. In practical conditions, this assumption would result in a more accurate simulation. Having developed equations based on quasi-3D new refined theory (Q3D-NRT) considering the effect of thickness stretching, we solved the equations based on our conditions. With the aid of COMSOL multi-physics finite element simulation, the results are verified and new recommendations for improving the stability of presented MD-FG sector disks are reported. This research might be helpful for scientists working in the field of thermoelastic theory of disks. Since it is very important to have small and uniform thermal stresses in every direction of the materials, the study’s results could be used as a trustworthy database to determine a material property function.