Abstract
In this paper we investigate the vibration response of thin elastic FGM plates with combination of transversal and/or in-plane gradation of various material parameters subjected to transient tension loading. The equations of motion and initial-boundary conditions for transient problems are derived within Kirchhoff-Love plate theory. For numerical modelling of plates with dynamic multi-gradation coupling effects, it is developed the strong formulation with using the meshless approximation of field variables by the Moving Least Square (MLS) approximation scheme. Several numerical examples are presented for illustration of the multi-gradation coupling effects in vibration response of elastic FGM plates.
Highlights
Plates are considered as the fundamental structural elements within the civil, mechanical and aerospace engineering
Classical laminated composite plate structures suffer from delamination due to the in-plane stress discontinuities on interfaces
This unpleasant effect is eliminated in the FGM composite plates, in which the material properties are varying continuously according to volume contents of particular micro-constituents [4] and there are no interfaces
Summary
Plates are considered as the fundamental structural elements within the civil, mechanical and aerospace engineering. Classical laminated composite plate structures suffer from delamination due to the in-plane stress discontinuities on interfaces This unpleasant effect is eliminated in the FGM composite plates, in which the material properties are varying continuously according to volume contents of particular micro-constituents [4] and there are no interfaces. It has been shown that the transversal gradation of the Young’s modulus and/or mass density yields coupling between the bending and in-plane deformation modes in plates subjected to transversal loading. It has been shown [6] that the combined gradation of material coefficients in the transversal and in-plane directions into multi-gradation coupling effects in plates subjected to stationary transversal and/or tension loadings. The coupling effects are studied for FGM plates under external tension load on the plate’s boundary edge (Fig. 1)
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