In this article, a comprehensive study is conducted on the free vibration analysis of rotating truncated conical shells reinforced with functionally graded agglomerated carbon nanotubes The shell is modeled based on the first-order shear deformation theory, and effective mechanical properties are calculated based on the Eshelby–Mori–Tanaka scheme along with the rule of mixture. By considering centrifugal and Coriolis accelerations and initial hoop tension, the set of governing equations is derived using Hamilton’s principle and is solved numerically using the differential quadrature method Convergence and accuracy of the presented model are confirmed and the effects of different parameters on the forward and backward frequencies of the rotating carbon nanotube-reinforced truncated conical shells are investigated.

在本文中，对功能梯度聚结的碳纳米管增强的旋转截头圆锥形壳体的自由振动分析进行了全面研究。该壳体基于一阶剪切变形理论建模，并基于Eshelby计算了有效的力学性能。 –Mori–Tanaka方案以及混合规则。通过考虑离心和科里奥利加速度以及初始环向张力，利用汉密尔顿原理导出控制方程组，并使用微分求积法对其进行数值求解，确认了所提模型的收敛性和精度，并且不同参数对正向和反向的影响研究了旋转碳纳米管增强的截头圆锥壳的频率。