石墨烯增强复合材料截顶圆锥壳的自由振动

Free Vibration of Graphene Reinforced Composite Truncated Conical Shell

摘要: 石墨烯增强复合材料是一种新一代的先进复合材料，在这种材料中，由若干层石墨烯片叠加而成的石墨烯小块作为颗粒增强体随机或均匀地分布在基体中，在厚度方向上按照某种规律逐层呈梯度或均匀排布。石墨烯增强复合材料及其结构的力学行为已成为近年来学术界的研究热点。基于Rayleigh-Ritz数值算法，得到石墨烯增强复合材料截顶圆锥壳在简支边界条件下自由振动的固有频率。数值实验表明：石墨烯增强复合材料截顶圆锥壳的无量纲化基频随着石墨烯含量的增加而单调增加，且受其分布模式的影响很大；随着半顶角的增大先单调增加后单调减少；随着壳体底面半径与厚度的的增加而单调增加。

Abstract: Graphene reinforced composite is a new generation of advanced composite materials. In this ma-terial, graphene platelet as a reinforcement is randomly or evenly distributed in the matrix with gradient or uniform arrangement according to a certain rule along the thickness. The mechanical behavior of graphene-reinforced composites and their structures has become a hotspot in the re-search field in recent years. Based on energy conservation and Rayleigh-Ritz numerical method, the natural frequencies of free vibration of graphene reinforced composite truncated conical shells under simply supported boundary conditions are obtained. Further, parametric studies show fundamental frequency of graphene-reinforced compositetruncated conical shellincreases mo-notonously with the increase of graphene weight fraction as well as bottom radius-to-thickness ratios and is greatly influenced by the distribution pattern of graphene nanoplatelets. The dimen-sionless fundamental frequency increases monotonously first and then decreases monotonously with the semi-vertex angle.

文章引用：王一安, 盛炎平, 蒋鹏程. 石墨烯增强复合材料截顶圆锥壳的自由振动[J]. 力学研究, 2019, 8(2): 101-108. https://doi.org/10.12677/IJM.2019.82012

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