A linear free vibration analysis is presented for computing the natural frequencies of a grid-stiffened carbon-nanotube-reinforced composite cylindrical shell. The carbon nanotubes (CNTs) are supposed to be oriented unidirectionally across the shell thickness, and the elastic moduli of the CNT-reinforced polymer composite are calculated using a modified rule of mixtures. In order to obtain the equivalent stiffness parameters of the grid-stiffened cylindrical shell, the smeared stiffness method is employed. The stiffeners are assumed to support the transverse shear loads, bending moments, and axial loads. An analytical method based on the first-order shear deformation theory is used. To validate the results obtained, a 3-D finite-element model is employed using the ABAQUS CAE software.

中文翻译：

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碳纳米管增强网格加筋复合圆柱壳的自由振动

提出了一种线性自由振动分析，用于计算网格加筋碳纳米管增强复合圆柱壳的固有频率。碳纳米管 (CNT) 应该沿壳厚度单向取向，并且使用改进的混合物规则计算 CNT 增强聚合物复合材料的弹性模量。为了获得网格加筋圆柱壳的等效刚度参数，采用涂抹刚度法。假定加劲肋承受横向剪切载荷、弯矩和轴向载荷。使用基于一阶剪切变形理论的解析方法。为了验证获得的结果，使用 ABAQUS CAE 软件采用 3-D 有限元模型。