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Free vibration analysis of rotating functionally graded truncated conical shells

机译：旋转功能梯度圆锥台壳体的自由振动分析

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摘要

The influences of centrifugal and Coriolis forces in combination with the other geometrical and material parameters on the free vibration behavior of rotating functionally graded (FG) truncated conical shells subjected to different boundary conditions are investigated. The initial dynamic equilibrium equations and the free vibration equations of motion around this equilibrium state and also the related boundary conditions are derived based on the first-order shear deformation theory (FSDT) of shells. The material properties are assumed to be graded in the thickness direction. The differential quadrature method (DQM) as an efficient and accurate numerical tool is adopted to discretize the governing equations and the related boundary conditions. The convergence behavior of the method is demonstrated and in the limit cases, comparison studies with the available solutions in the literature are performed. Finally, the effects of angular velocity, Coriolis acceleration, material property graded index and geometrical parameters on the frequency parameters of the rotating FG truncated conical shells with different boundary conditions are studied.
机译：研究了离心力和科里奥利力以及其他几何和材料参数对旋转的功能梯度（FG）截顶圆锥壳在不同边界条件下的自由振动行为的影响。基于壳体的一阶剪切变形理论（FSDT），推导了围绕该平衡状态的运动的初始动态平衡方程和自由振动方程，以及相关的边界条件。假定材料特性沿厚度方向分级。采用微分求积法（DQM）作为一种高效，精确的数值工具来离散化控制方程和相关的边界条件。证明了该方法的收敛性，并在极限情况下，与文献中的可用解决方案进行了比较研究。最后，研究了角速度，科里奥利加速度，材料性能梯度指数和几何参数对旋转FG截顶圆锥壳在不同边界条件下的频率参数的影响。

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