This paper presents the first attempt to investigate the mechanical behaviors of the three-dimensional theory of poroelasticity for functionally graded graphene platelets reinforced composite (FG-GPLRC) open-shell resting on a non-polynomial viscoelastic substrate involving friction force and under residual stresses. For this purpose, three parameters viscoelastic foundation is developed by taking into account the torsional interaction and horizontal friction force. The open-type shell comprises multilayers with uniformly dispersed graphene platelets (GPLs) in each fictitious layer of facing sheets. Still, its weight fraction changes layer-by-layer along the thickness direction. For solving the governing equations, the state-space based differential quadrature method is presented to determine the frequency response of the sandwich open-type shell. The influences of several parameters, such as various types of horizontal friction force, initial circumferential stress, linear and torsional gradient elastic foundation, and damping parameter, are investigated on the amplitude and frequency of the FG-GPLRC open-shell resting on a non-polynomial viscoelastic substrate. Results reveal that the poroelasticity theory has an overestimation of the frequency in comparison with 3D- elasticity. The fundamental and golden results of this paper are that by considering initial compressive stress, the system's stability increases, and the energy absorption of the structure improves.

本文提出了首次尝试研究功能梯度石墨烯血小板增强复合材料（FG-GPLRC）开壳的多孔弹性三维理论的力学行为，该复合材料位于具有摩擦力和残余应力的非多项式粘弹性基底上。为此，通过考虑扭转相互作用和水平摩擦力来开发三个参数的粘弹性基础。敞开式壳体包括在面板的每个虚拟层中具有均匀分散的石墨烯薄片（GPL）的多层。另外，其重量分数沿厚度方向逐层变化。为了求解控制方程，提出了一种基于状态空间的微分求积法来确定夹心开放式壳体的频率响应。研究了多种参数的影响，例如各种水平摩擦力，初始圆周应力，线性和扭转梯度弹性地基以及阻尼参数，它们对FG-GPLRC开壳非接触式振幅和频率的影响多项式粘弹性基底。结果表明，与3D弹性相比，孔隙弹性理论对频率的估计过高。本文的基本和黄金结果是，通过考虑初始压应力，系统的稳定性增加，并且结构的能量吸收得到改善。研究了基于FG-GPLRC开壳式非多项式粘弹性基底的振幅和频率。结果表明，与3D弹性相比，孔隙弹性理论对频率的估计过高。本文的基本和黄金结果是，通过考虑初始压应力，系统的稳定性增加，并且结构的能量吸收得到改善。研究了基于FG-GPLRC开壳式非多项式粘弹性基底的振幅和频率。结果表明，与3D弹性相比，孔隙弹性理论对频率的估计过高。本文的基本和黄金结果是，通过考虑初始压应力，系统的稳定性增加，并且结构的能量吸收得到改善。