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Three-dimensional free vibration of laminated cylindrical panels with functionally graded layers

机译：具有功能梯度层的层压圆柱板的三维自由振动

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摘要

The three-dimensional (3D) free vibration of laminated cylindrical panels with finite length and functionally graded (FG) layers is presented. The cylindrical panels with two opposite axial edges simply supported and arbitrary boundary conditions at the curved edges can be analyzed via the present approach. The material properties vary continuously through the layers thickness. In order to accurately model the variation of the displacement components through the panel thickness, a layerwise-differen-tial quadrature method (LW-DQM) is employed in this direction. Also, the in-plane variations of the displacement components are approximated using the trigonometric series in the circumferential direction and the DQM in the axial direction. The fast rate of convergence and accuracy of the method are demonstrated through different examples. As applications of the present approach, the free vibration of two common types of sandwich cylindrical panels, i.e. sandwich panels with FG face sheets and ceramic core and sandwich panels with FG core and ceramic/metal face sheets, and also bi-layered FG cylindrical panels are studied. The effects of geometrical and material parameters together with the boundary conditions on the frequency parameters of these types of panels are investigated.
机译：提出了有限长度和功能梯度（FG）层的层合圆柱板的三维（3D）自由振动。可以通过本方法来分析具有两个相对的轴向边缘的圆柱形面板，这些边缘被简单地支撑并且在弯曲边缘处具有任意边界条件。材料特性在层厚度上连续变化。为了准确地模拟位移分量在面板厚度上的变化，在该方向上采用了分层微分正交方法（LW-DQM）。而且，使用圆周方向上的三角级数和轴向上的DQM来估算位移分量的平面内变化。通过不同的例子证明了该方法的快速收敛速度和准确性。作为本方法的应用，两种常见类型的夹心圆柱形面板的自由振动，即具有FG面板和陶瓷芯的夹心面板和具有FG核心和陶瓷/金属面板的夹心面板，以及双层FG圆柱形面板被研究。研究了几何和材料参数以及边界条件对这些类型的面板的频率参数的影响。

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