Abstract

The honeycomb structures, due to minimal density, relative high out-of-plane compression properties, and out-of-plane shear properties, have attracted a lot of attention. Regarding this issue, in the current research, fundamental frequency analysis of the annular plate with two angle-ply multiscale hybrid nanocomposite face sheets and a honeycomb core is investigated. Halpin-Tsai as well as Hamilton’s principle, are presented for obtaining the effective material properties and governing equations of the presented composite system. For modeling the thermal environment, three-kind of thermal loading is presented. Also, the current structure is covered with the Kerr elastic foundation. The generalized differential quadrature method is presented for obtaining the exact fundamental frequency of the annular plate with two angle-ply multiscale hybrid nanocomposite face sheets and a honeycomb core. Finally, the result section is given to illustrate the influences of two angle-ply multiscale hybrid nanocomposite reinforcement, the geometry of honeycomb core, thermal loading, elastic foundation, the weight fraction of nanocomposites, and structural parameters of the annular plate on the fundamental frequency of the annular plate with two angle-ply multiscale hybrid nanocomposite face sheets and a honeycomb core. The outcomes of the current report show that for the clamped edge in the boundary conditions and each $t_h/l_h,$ increasing ${\theta }_h/\pi$ is a reason for falling down the frequency of the annular plate with a honeycomb core. Another consequence is that the impact of temperature changes on the frequency of the disk is hardly dependent on the fiber angle.

摘要

蜂窝结构由于具有最小的密度、相对高的面外压缩性能和面外剪切性能而引起了广泛的关注。关于这个问题，在目前的研究中，研究了具有两个角层多尺度混合纳米复合材料面板和蜂窝芯的环形板的基频分析。提出了 Halpin-Tsai 以及哈密顿原理，以获得所提出的复合系统的有效材料特性和控制方程。为了模拟热环境，提出了三种热负荷。此外，目前的结构覆盖有 Kerr 弹性地基。提出了广义微分正交法，用于获得具有两个角层多尺度混合纳米复合材料面板和蜂窝芯的环形板的精确基频。最后，给出了结果部分来说明两个角层多尺度混合纳米复合材料增强体、蜂窝芯的几何形状、热载荷、弹性基础、纳米复合材料的重量分数和环形板的结构参数对基频的影响具有两个角层多尺度混合纳米复合材料面板和蜂窝芯的环形板。当前报告的结果表明，对于边界条件中的夹紧边缘和每个 结果部分给出了两个角层多尺度混合纳米复合材料增强体、蜂窝芯的几何形状、热载荷、弹性基础、纳米复合材料的重量分数和环形板的结构参数对基频的影响具有两个角层多尺度混合纳米复合材料面板和蜂窝芯的环形板。当前报告的结果表明，对于边界条件中的夹紧边缘和每个 结果部分给出了两个角层多尺度混合纳米复合材料增强体、蜂窝芯的几何形状、热载荷、弹性基础、纳米复合材料的重量分数和环形板的结构参数对基频的影响具有两个角层多尺度混合纳米复合材料面板和蜂窝芯的环形板。当前报告的结果表明，对于边界条件中的夹紧边缘和每个${吨}_H/{升}_H,$增加${\theta }_H/\pi$是蜂窝芯环形板频率下降的一个原因。另一个结果是温度变化对磁盘频率的影响几乎不依赖于光纤角度。