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首页> 外文期刊>Applied Mathematical Modelling >Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions
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Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions

机译:具有一般边界条件的四参数功能梯度中等厚度的双曲线面板和旋转壳体的自由振动

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摘要

This paper aims to present a unified vibration analysis approach for the four-parameter functionally graded moderately thick doubly-curved shells and panels of revolution with general boundary conditions. The first-order shear deformation theory is used in this formulation. The functionally graded panels structures consists of ceramic and metal which are set to vary continuously in the thickness direction according to the general four-parameter power-law distribution, and six types of power-law distributions are considered for the ceramic volume fraction. The admissible function of the FG panels and shells of revolution is obtained by the improved Fourier series with the help of the governing equations and the boundary conditions. The solution is obtained by using the variational operation in terms of the unknown expanded coefficients. By a great many numerical examples, the rapid convergence and good reliability and accuracy of the proposed approach are validated. A variety of new results for vibration problems of the FG doubly-curved shells and panels with different elastic restraints, geometric and material parameters are presented. The effects of the elastic restraint parameters, power-law exponent, circumference angle and power-law distributions on the free vibration characteristic of the panels are also presented, which can be served as benchmark data in the research and the actual production process.
机译:本文旨在针对具有一般边界条件的四参数功能梯度中等厚度的双曲线壳体和旋转面板提供统一的振动分析方法。在该公式中使用了一阶剪切变形理论。功能梯度面板结构由陶瓷和金属组成,它们根据常规的四参数幂律分布在厚度方向上连续变化,并且考虑了六种类型的幂律分布作为陶瓷体积分数。通过改进的傅立叶级数,借助控制方程和边界条件,可以得到FG面板和旋转壳体的允许功能。通过对未知扩展系数使用变分运算来获得解。通过大量的数值例子,验证了该方法的快速收敛性,良好的可靠性和准确性。针对具有不同弹性约束,几何形状和材料参数的FG双曲线壳和面板的振动问题,提出了许多新的结果。还介绍了弹性约束参数,幂律指数,圆周角和幂律分布对面板自由振动特性的影响,可作为研究和实际生产过程中的基准数据。

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