Nonlocal free and forced vibration of multilayered two-dimensional quasicrystal nanoplates

Abstract

A three-dimensional plate model capturing the size effect is developed for free and forced vibration of a layered two-dimensional quasicrystal nanoplate. The simply supported nanoplate subjected a top surface harmonic excitation is assumed for forced vibration analysis, and the traction free boundary conditions are considered for free vibration analysis. The exact solution for layered two-dimensional quasicrystal nanoplates is obtained by using the pseudo-Stroh formalism, Eringen’s nonlocal theory, and a dual variable and position method. Numerical examples show the effects of nonlocal parameter, stacking sequence and aspect ratio on natural frequency as well as forcing frequency on harmonic response. Show more