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首页> 外文期刊>Composite Structures >The local GDQ method applied to general higher-order theories of doubly-curved laminated composite shells and panels: The free vibration analysis
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The local GDQ method applied to general higher-order theories of doubly-curved laminated composite shells and panels: The free vibration analysis

机译：局部GDQ方法应用于双曲层合复合材料壳和面板的一般高阶理论：自由振动分析

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摘要

This paper presents a general two-dimensional approach for solving doubly-curved laminated composite shells using different kinematic expansions along the three orthogonal directions of the curvilinear shell model. The Carrera Unified Formulation (CUF) with different thickness functions along the three orthogonal curvilinear directions is applied to completely doubly-curved shells and panels, different from spherical and cylindrical shells and plates. Furthermore, the fundamental nuclei for doubly-curved structures are presented in their explicit form for the first time by the authors. These fundamental nuclei also allow to consider doubly-curved structures with variable thickness. In addition, the theoretical model includes the Murakami's function (also known as zig-zag effect). For some problems it is useful to have an in-plane kinematic expansion which is different from the normal one. The 2D free vibration problem is numerically solved through the Local Generalized Differential Quadrature (LGDQ) method, which is an advanced version of the well-known Generalized Differential Quadrature (GDQ) method. The main advantage of the LGDQ method compared to the GDQ method is that the former can consider a large number of grid points without losing accuracy and keeping the very good stability features of GDQ method as already demonstrated in literature by the authors.
机译：本文提出了一种通用的二维方法，用于沿着曲线壳模型的三个正交方向使用不同的运动学展开来求解双曲线叠层复合材料壳。沿三个正交曲线方向具有不同厚度函数的Carrera统一配方（CUF）适用于完全双重弯曲的壳体和面板，与球形和圆柱形壳体和面板不同。此外，作者首次以显式形式显示了双曲线结构的基本核。这些基本核还允许考虑厚度可变的双曲线结构。此外，理论模型还包括村上的函数（也称为之字形效应）。对于某些问题，平面内运动扩展与正常运动扩展不同是有用的。二维自由振动问题通过局部广义差分正交（LGDQ）方法进行数值求解，该方法是众所周知的广义差分正交（GDQ）方法的高级版本。与GDQ方法相比，LGDQ方法的主要优点在于，前者可以考虑大量的网格点而不会失去准确性，并且保留了GDQ方法非常好的稳定性，这已经在作者的文献中得到了证明。

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