Abstract

Structures in honeycomb shapes have the configuration of a honeycomb to minimize material usage and to reach minimal cost of material and optimized weight. Thereby, this paper investigates the vibrations of sandwich disk which has imperfect honeycomb core with face sheets of graphene nano-platelets reinforced composite (GPLRC). The core of honeycomb is manufactured of aluminum based on to its high stiffness and low density. In order to have an efficient material constant for the layers of composite, this paper considers the modified Halpin–Tsai theory and the mixture rule. The structure’s governing equations of motion are extracted and solved using the Hamilton’s principle and generalized differential quadrature method (GDQM), respectively. Then, in order to present the impacts of the patterns of FG, the GPLs’ weight fraction, thickness ratio of FG face sheet, GPLs’ thickness to length ratio, external to internal radius ratio, the honeycomb core’s thickness to internal radius ratio, the compressive and tensile external load on the sandwich disk’s frequency with FG-GPLRC face sheet and honeycomb core under a uniform pressure, a parametric research study has been carried out. The results show that the lowest and highest frequency is for FG-O and FG-X patterns, respectively. Another consequence is that the when GPLs are wider, the frequency is much higher, particularly at the initial l_GPL /t_GPL

摘要

蜂窝状结构具有蜂窝状结构，以最大程度地减少材料使用量，并达到最小的材料成本和最优化的重量。因此，本文研究了具有不完善蜂窝芯的夹层圆盘与石墨烯纳米片增强复合材料（GPLRC）面板的振动。蜂窝状芯由于其高刚度和低密度而由铝制成。为了使复合材料层具有有效的材料常数，本文考虑了改进的Halpin-Tsai理论和混合规则。分别使用汉密尔顿原理和广义微分正交方法（GDQM）提取并求解结构的运动控制方程。然后，为了展示FG模式（GPL的权重比例）的影响，FG面板的厚度比，GPL的厚度与长度之比，内外半径比，蜂窝芯的厚度与内半径比，FG-GPLRC面板和蜂窝芯下的夹心盘频率上的压缩和拉伸外载荷在均匀的压力下，已经进行了参数研究。结果表明，最低频率和最高频率分别针对FG-O和FG-X模式。另一个结果是，当GPL越宽时，频率就越高，尤其是在最初 已经进行了参数研究。结果表明，最低频率和最高频率分别针对FG-O和FG-X模式。另一个结果是，当GPL越宽时，频率就越高，尤其是在最初 已经进行了参数研究。结果表明，最低频率和最高频率分别针对FG-O和FG-X模式。另一个结果是，当GPL越宽时，频率就越高，尤其是在最初l _GPL / t _GPL