Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction

Abstract

The main objective of this article is to propose a new shear continuous function used for the free vibration analysis of functionally graded (FG) nanoplates with the presence of internal porosity (so-called FGP nanoplates) by employing isogeometric analysis (IGA). The small-scale effect that appears in nanostructures is included by using the nonlocal elasticity theory (nonlocal theory). Functionally graded materials consist of mechanical properties varies along z-directions. The porosity occurring in the material matrix is described by the trigonometric function. Furthermore, an artificial neural network (ANN) model is created by Matlab software to predict the natural frequencies of FGP nanoplates. The performance of the proposed formula is confirmed by comparing the obtained results with those of previous publications. Finally, some examples are conducted to provide novel results in the free vibration of FGP nanoplates.

Keywords

• Nonlocal elasticity theory
• Higher-order shear deformation theory (HSDT)
• Isogeometric analysis (IGA)
• Functionally graded porous (FGP)
• Nanoplates
• ANN