Free Vibration of Elastically Constrained Single-Layered MoS2

Free vibration of elastically constrained rectangular single-layered MoS2 is investigated by using a nonlocal Kirchhoff plate model with an initial stress. The variationally consistent elastically constrained boundary conditions are obtained by using the weighted residual method, while the governing equations of the nonlocal Kirchhoff plate model are known. A modified Fourier series method is applied to study the vibrational behaviors of elastically constrained nonlocal Kirchhoff plate models. The convergence and reliability of the modified Fourier series method is verified via comparison with the finite element method. A comprehensive parametric study is performed to show the influences of the boundary elastic constant, nonlocal parameter and initial stress on the vibrational behaviors of single-layered MoS2. The results should be good for the design of nanoresonators.