This composition investigates the frequency analysis of sandwich imperfect viscoelastic disks with graphene nano-platelets (GPLs)-reinforced viscoelastic composite (GPLRVC) face sheets and honeycomb core. The honeycomb core is made of aluminum because of its high stiffness and low weight. The modified Halpin–Tsai model and rule of the mixture have been utilized to provide the effective material constant of the composite layers. Through employing Hamilton’s principle, the governing equations of the structure are accordingly discerned and resolved by utilizing the Generalized Differential Quadrature Method (GDQM). Throughout this investigation, viscoelastic properties have been modeled in accordance with Kelvin–Voigt viscoelasticity. The deflection as the function of time is capable of being resolved through employing the fourth-order Runge–Kutta numerical method. Afterwards, a parametric study is conducted to discern the effects of the FG patterns, outer to inner radius ratio, hexagonal core angle, thickness to length ratio of the GPLs, the weight fraction of GPLs, FG face sheet thickness ratio, the thickness of honeycomb core to inner radius ratio, tensile, imperfect coefficient, and in-plane force on the frequency of the sandwich viscoelastic disk with honeycomb core and FG-GPLRVC face sheet.

中文翻译：

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残压作用下蜂窝芯粘弹性非完美环状系统振动响应的半数值模拟

该组合物研究了具有石墨烯纳米片 (GPL) 增强粘弹性复合材料 (GPLRVC) 面板和蜂窝芯的夹心不完美粘弹性盘的频率分析。蜂窝芯由铝制成，因为它具有高刚度和低重量。改进的 Halpin-Tsai 模型和混合物规则已被用于提供复合层的有效材料常数。通过采用哈密顿原理，利用广义微分求和法(GDQM)相应地识别和求解结构的控制方程。在整个研究过程中，粘弹性特性已根据 Kelvin-Voigt 粘弹性建模。作为时间函数的挠度可以通过采用四阶 Runge-Kutta 数值方法来解决。然后，进行参数研究以辨别 FG 图案、外径与内径比、六边形芯角、GPL 的厚长比、GPL 的重量分数、FG 面板厚度比、蜂窝厚度的影响具有蜂窝芯和 FG-GPLRVC 面板的夹心粘弹性盘的芯与内半径比、拉伸、不完美系数和面内力对频率的影响。