Thermal vibration of circular single-layered MoS2 predicted by the circular Mindlin plate model

Abstract

Thoroughly understanding the dynamic behavior of two-dimensional molybdenum disulfide (MoS2) is extremely important to the MoS2-based nanoelectromechanical device. In this paper, the circular Mindlin plate model (CMPM) is proposed to investigate the temperature-induced vibration of circular single-layered MoS2 (CSLMoS2). When the size of the CSLMoS2 is very small, the natural frequencies calculated by the CMPM are closer to the natural frequencies calculated by molecular dynamic (MD) simulations than those calculated by the circular Kirchhoff plate model (CKPM). The frequencies obtained by the CMPM are closer to the MD results than those obtained by the CKPM when in the higher-order frequencies. The root-mean-squared (rms) amplitude of CSLMoS2 is calculated by the CMPM, the CKPM, and MD simulations. The rms amplitude of CSLMoS2 calculated by the CMPM is much larger than that calculated by the CKPM. The comparison of the rms amplitude calculated by MD simulations shows that both CMPM and CKPM can roughly predict the temperature-induced vibrational behavior of CSLMoS2. However, the rms amplitude forecasted by the CMPM is more accurate than that calculated by the CKPM. The CMPM can forecast the thermal vibration of CSLMoS2 well.