Free vibration of the one-dimensional piezoelectric quasicrystal microb eams base d on modifie d couple stress theory

In this paper, the free vibration of one-dimensional (1D) piezoelectric quasicrystal (PQC) microbeam is investigated. Varies shear displacement models for the PQC microbeam are developed. The modified couple stress theory with two material length scale parameters for PQC microbeam is used to capture the size effect of the phonon and phason fields. The differential quadrature method (DQM) is adopted to solve the equations of motion for the PQC microbeam, which is derived by the Hamilton's principle. Numerical results for the vibration of the 1D PQC microbeam are calculated. The effects of the geometry, electric voltage, material length scale parameter and boundary conditions on natural frequency of the PQC microbeam are demonstrated. (c) 2021 Elsevier Inc. All rights reserved.