Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium

Abstract A mathematical model for nonlocal vibration and buckling of embedded two-dimensional (2D) decagonal quasicrystal (QC) layered nanoplates is proposed. The Pasternak-type foundation used to simulate the interaction between elastic medium. exact solutions frequency critical load 2D QC are obtained by solving eigensystem using propagator matrix method. present three-dimensional (3D) solution can predict correctly nature frequencies loads as compared with previous thin-plate medium-thick-plate theories. Numerical examples provided display effects quasiperiodic direction, length-to-width ratio, thickness nanoplates, parameter, stacking sequence, medium elasticity on nanoplates. results show that direction depend ratio nanoplate surrounding be adjusted optimal nanoplate. This feature useful since QCs coating materials plate structures now tuned one desire.