Abstract

Honeycomb structures are one type of structure that has the geometry of a honeycomb to allow the minimization of the amount of used material to reach minimal material cost and minimal weight. For this issue, in the current analysis, an attempt is made to develop the nonlinear mathematical model for the chaotic and large-amplitude motions of a sandwich disk with graphene nanoplatelet face sheets honeycomb core and subjected to external excitation. Using Hamilton’s principle, higher-order shear deformation theory (HSDT), and the Von-Karman nonlinear theory, the nonlinear governing equation is derived. The generalized differential quadrature method (GDQM) and perturbation approach (PA) are eventually used to develop a precise solution approach. This article’s fundamental and golden results are that for clamped–clamped boundary conditions, the softening of the system in zone 2 is less than zone 1, whereas the instable responses in zone 2 are more than zone 1. Also, for the sandwich disk with clamped–clamped boundary conditions, the system’s dynamic behavior tends to be more harmonious and less chaotic as the fiber’s angle increases. Therefore, increasing the fiber angle reduces the system’s chaos with clamped edges, which is very important for future works.

摘要

蜂窝结构是一种具有蜂窝几何形状的结构，可以最大限度地减少所用材料的数量，从而达到最低的材料成本和最低的重量。针对这个问题，在目前的分析中，尝试开发具有石墨烯纳米片面板蜂窝芯并受到外部激励的夹层盘的混沌和大幅度运动的非线性数学模型。利用哈密顿原理、高阶剪切变形理论（HSDT）和Von-Karman非线性理论，推导了非线性控制方程。广义微分正交法 (GDQM) 和微扰法 (PA) 最终用于开发精确求解方法。本文的基本和黄金结果是对于钳位-钳位边界条件，2 区的系统软化小于 1 区，而 2 区的不稳定响应大于 1 区。另外，对于具有夹紧-夹紧边界条件的夹层盘，系统的动态行为趋于更加协调和随着纤维角度的增加，混乱会减少。因此，增加光纤角度可以减少系统的夹边混乱，这对未来的工作非常重要。