Forced vibration of composite nanoplates taking into the structural drag phenomenon

Abstract

In order to optimize the benefits derived from diverse materials, individuals frequently employ multi-layered constructions composed of several materials. As a result, the operational efficiency of these buildings is enhanced. This study employs a finite simulation approach to investigate the dynamic behavior of composite nanoplates supported by an elastic substrate with varying stiffness. The composite panel comprises two layers of material separated by a continuous surface characterized by a sine wave function, as well as a folded surface exhibiting a square wave shape. Notably, this research represents the first instance in which such a simulation solution is utilized for this purpose. The calculation formulas are derived from two novel shear deformation theories, wherein the incorporation of the nonlocal theory allows for the consideration of size effects. Furthermore, a notable aspect of this study is its consideration of both the impact of internal drag on the structure and the influence of initial shape flaws, spanning from the global to the local level. Furthermore, the inclusion of these factors adds complexity to the calculation methods, while the resulting calculations closely approximate the real behavior of these structures. This study establishes a significant scientific foundation for the selection of suitable parameters for the practical design of composite panels.