TRANSIENT ANALYSIS OF FUNCTIONALLY GRADED NANOPLATES WITH POROSITIES TAKING INTO ACCOUNT SURFACE STRESS

Abstract

This paper presents a novel study on the transient response of simply supported rectangular functionally graded nanoplates with porosities. Nonlocal elasticity theory is employed in the analysis, incorporating the effect of surface energy. The motion equations of the nanoplates are derived from Hamilton’s principle within the framework of Reddy's higher-order shear deformation theory. The closed-form solutions are obtained for transient analysis under diverse impulsive loading scenarios using Navier’s technique. A very good agreement between the results of the present model and those available in the literature is found. This study reveals that the transient response of the nanoplate is significantly influenced by various factors, including nonlocal parameters, surface elastic constants, porosity distribution patterns, and elastic foundation stiffness. Notably, the surface energy effect has a greater impact on vibration amplitude compared to the nonlocal effect. The approach presented in this paper could serve as a valuable benchmark for the design, production, and operation of such nanoplates.