Orthotropic plate model for the vibration of multilayered molybdenum disulfide

Mingqian Li, Lifeng Wang
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Abstract

Molecular dynamics (MD) simulation and orthotropic continuum model that considers interlayer shear are used to investigate the transverse deformation and free transverse vibration of multilayered rectangular molybdenum disulfide (MoS2). The interlayer shear effect is considered in the continuum model by considering the multilayered MoS2 as a continuous uniform orthotropic material. A method for obtaining mode shapes using a single thermal vibration MD simulation is proposed. The frequencies and mode shapes predicted using the orthotropic continuum model and MD simulation agree well. The mechanical problem of multilayered two-dimensional material plate resonator can be solved easily and efficiently by using the finite element method for the orthotropic continuum model.
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多层二硫化钼振动的正交各向异性板模型
采用分子动力学(MD)模拟和考虑层间剪切的正交各向异性连续介质模型研究了多层矩形二硫化钼(MoS2)的横向变形和自由横向振动。连续介质模型将多层二硫化钼视为连续的均匀正交各向异性材料,考虑了层间剪切效应。提出了一种利用单次热振动MD模拟获得模态振型的方法。正交各向异性连续介质模型预测的频率和模态振型与MD模拟结果吻合较好。采用正交各向异性连续介质模型的有限元方法可以方便、有效地求解多层二维材料板谐振腔的力学问题。
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