Analyses on thermal vibration and stability of sandwich skew plates with functionally graded porous core

In this study, vibration and stability of sandwich skew plates possessing functionally graded porous cores were investigated including significant effect of temperature rise. The modified formulations used for describing the temperature distributions across the plate's thickness were utilized to carry out the critical buckling temperature and thermos-elastic vibration results. The equations of motion in accordance with the first-order shear deformation theory including the transverse shear effect were solved via the Gram-Schmidt-Ritz method. This method is able to produce accurate solutions of such complex-shaped plates with numerically stable displacement functions generated by Gram-Schmidt procedure for various combinations of boundary conditions. Several important effects such as skew angle, porous coefficient, thickness ratio, aspect ratio, temperature, etc., that have a considerable impact on thermal stability and vibration of such sandwich skew plates are taken into account. According to the numerical experiments, it can be revealed that the critical bucking temperature and frequency of the plates increase considerably with the increase of skew angle. New findings of this study can serve as the benchmarking results for future studies.

Automated summary

This study investigates the vibration and stability of sandwich skew plates with functionally graded porous cores, taking into account the significant effect of temperature rise. The critical buckling temperature and thermos-elastic vibration results were calculated using modified formulations for describing the temperature distributions across the plate. The study considers several important factors that have a considerable impact on the thermal stability and vibration of these plates, and the findings can serve as benchmark results for future studies.