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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Application of transformed differential quadrature to free vibration analysis of FG-CNTRC quadrilateral spherical panel with piezoelectric layers
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Application of transformed differential quadrature to free vibration analysis of FG-CNTRC quadrilateral spherical panel with piezoelectric layers

机译：变换微分求积法在带压电层的FG-CNTRC四边形球形面板自由振动分析中的应用

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摘要

In this work, a framework based on the differential quadrature (DQ) method for the free vibration analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) quadrilateral spherical panels with surface-bonded piezoelectric layers is developed. The higher-order shear deformation theory is used to model the displacement fields of quadrilateral thin-to-moderately thick spherical panels. Hamilton's principle together with Maxwell's equation is applied to drive the differential governing equations and the related boundary conditions. The transformed differential quadrature (TDQ) method for the case of quadrilateral panels is established to discretize the governing partial differential equations. The benefit of this method is the usage of the transformed weighted coefficients, which are able to discretize partial differential equations in physical domain. This study exhibits that the TDQ approximation method shows a good convergence rate for quadrilateral curved panels. Furthermore, the accuracy and reliability of the proposed method are verified by comparing the results with the existing reference solutions or the results calculated by ANSYS software. The effects of CNTs volume fractions, CNTs distributions through the thickness, different boundary conditions and various panel geometrical parameters such as the panel thickness, piezoelectric thickness, side angle, and radius to length ratio on the natural frequency parameters are demonstrated. The article presents useful results for the design purpose of curved panels with complex geometries, for instance, achieving the optimal panel shape in order to pursuit the maximum structural stiffness. (C) 2018 Elsevier B.V. All rights reserved.
机译：在这项工作中，建立了一种基于微分正交（DQ）方法的框架，用于对具有表面粘合压电层的功能梯度碳纳米管增强复合材料（FG-CNTRC）四边形球形面板进行自由振动分析。采用高阶剪切变形理论对四边形薄至中厚球形面板的位移场进行建模。汉密尔顿原理与麦克斯韦方程一起用于驱动微分控制方程和相关的边界条件。建立了四边形面板情况下的变换微分正交（TDQ）方法，以离散化控制偏微分方程。这种方法的好处是可以使用变换后的加权系数，从而可以在物理域中离散偏微分方程。这项研究表明，TDQ逼近方法对于四边形弯曲面板显示出良好的收敛速度。此外，通过将结果与现有参考解决方案或ANSYS软件计算的结果进行比较，验证了所提方法的准确性和可靠性。展示了碳纳米管的体积分数，碳纳米管在厚度上的分布，不同的边界条件以及各种面板几何参数（如面板厚度，压电厚度，侧角和半径与长度之比）对固有频率参数的影响。本文针对具有复杂几何形状的弯曲面板的设计目的提出了有用的结果，例如，获得最佳的面板形状以追求最大的结构刚度。 （C）2018 Elsevier B.V.保留所有权利。

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