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Free vibration analysis of metal-ceramic matrix composite laminated cylindrical shell reinforced by CNTs

机译：CNTS加固金属陶瓷基质复合层压圆柱壳的自由振动分析

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摘要

A unified method is presented to analyze free vibrations of dual-functional graded nanocomposite laminated cylindrical shells reinforced by carbon nanotubes (CNTs) under arbitrary boundary conditions. Especially, the matrix material of the carbon nanotubes is metal-ceramic functional gradient material (FGM), and the CNT is also assumed to be a gradient distribution in the matrix, constituting the dual-functional graded materials. Based on the first-order shear deformation theory (FSDT) and artificial spring technology, the Chebyshev polynomials was selected as the admissible function, and the Rayleigh-Ritz method was used to derive the vibration differential equation of the laminated shell. Further, the effects of volume fraction of CNTs, change of matrix material, the thickness of the middle layer, and geometric parameters on the natural frequency were discussed.
机译：提出了一种统一的方法，用于在任意边界条件下分析通过碳纳米管（CNT）加强的双功能梯度纳米复合材料层压圆柱形壳体的自由振动。特别地，碳纳米管的基质材料是金属陶瓷功能梯度材料（FGM），并且CNT也被认为是基质中的梯度分布，构成双功能梯度材料。基于一阶剪切变形理论（FSDT）和人造弹簧技术，选择Chebyshev多项式作为可允许的功能，使用Rayleigh-ritz方法导出层压壳的振动微分方程。此外，讨论了CNT的体积分数，基质材料的变化，中间层的厚度和自然频率的几何参数的影响。

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