This article investigates the influence of graphene platelet reinforcements and nonlinear elastic foundations on geometrically nonlinear dynamic response of a partially fluid-filled functionally graded porous cylindrical shell under exponential loading. Material properties are assumed to be varied continuously in the thickness in terms of porosity and graphene platelet reinforcement. In this study, three different distributions for porosity and three different dispersions for graphene platelets have been considered in the direction of the shell thickness. The Halpin–Tsai equations are used to find the effective material properties of the graphene platelet–reinforced materials. The equations of motion are derived based on the higher-order shear deformation theory and Sanders’s theory. Displacements and rotations of the shell middle surface are approximated by combining polynomial functions in the meridian direction and truncated Fourier series with an appropriate number of harmonic terms in the circumferential direction. An incremental–iterative approach is used to solve the nonlinear equations of motion of partially fluid-filled cylindrical shells based on the Newmark direct integration and Newton–Raphson methods. The governing equations of liquid motion are derived using a finite strip formulation of incompressible inviscid potential flow. The effects of various parameters on dynamic responses are investigated. A detailed numerical study is carried out to bring out the effects of some influential parameters, such as fluid depth, porosity distribution, and graphene platelet dispersion parameters on nonlinear dynamic behavior of functionally graded porous nanocomposite partially fluid-filled cylindrical shells reinforced with graphene platelets.

本文研究了在指数载荷下石墨烯血小板增强材料和非线性弹性基础对部分充液的功能梯度多孔圆柱壳的几何非线性动力响应的影响。假定材料性能在厚度方面根据孔隙率和石墨烯血小板增强而连续变化。在这项研究中，已经在壳厚度的方向上考虑了三种不同的孔隙率分布和三种不同的石墨烯血小板分散度。Halpin-Tsai方程用于查找石墨烯血小板增强材料的有效材料性能。运动方程是根据高阶剪切变形理论和桑德斯理论推导出来的。通过将多项式函数沿子午线方向和截短的傅立叶级数与圆周方向上的谐波次数相结合，可以近似估算出壳中间表面的位移和旋转。基于纽马克直接积分法和牛顿-拉夫森法，采用增量迭代法求解部分充满流体的圆柱壳的非线性运动方程。液体运动的控制方程是使用不可压缩的无粘性势流的有限条形公式得出的。研究了各种参数对动态响应的影响。进行了详细的数值研究，以得出一些影响参数的影响，例如流体深度，孔隙率分布，