Abstract
In this paper, free vibration of functionally graded nonuniform straight-sided plates with circular and non-circular cutouts has been investigated. Moreover, thermal effects on free vibration analysis and the effects of various parameters on natural frequencies of these plates were evaluated. The material properties were assumed to be graded across thickness, which vary according to the linear distribution law. The investigated parameters in this study are: (1) cutout size (2) type of loading (3) different boundary conditions. It should be mentioned that the obtained results of thermal effect on free vibration of the FG nonuniform straight-sided plates (such as skew and trapezoidal plates) with cutouts have not been studied yet. Therefore, the results of this investigation can be implemented in future studies.
Highlights
Structural components such as turbines, aircraft engines and space vehicles are often exposed to very high temperatures and thermal shocks that inevitably induce several thermal stresses cause catastrophic failure of materials
It should be mentioned that subspace method was used in free vibration analysis
Two different loading conditions were applied for free vibration analysis
Summary
Structural components such as turbines, aircraft engines and space vehicles are often exposed to very high temperatures and thermal shocks that inevitably induce several thermal stresses cause catastrophic failure of materials. One way to mitigate this effect is to use functionally graded materials. Material properties vary continuously in a functionally graded material (FGM). They fluctuate discontinuously across adjoining layer in a laminated plate. This advantage of a plate made of an FGM over a laminated plate eliminates the delamination mode of failure. FGMs are microscopically heterogeneous and made from isotropic materials such as metals and ceramics
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