Smart control and dynamic investigation of a graphene nanoplatelets reinforced composite (GPLRC) cylindrical shell surrounded by a piezoelectric layer as actuator and sensor based on a numerical solution method called generalized differential quadrature method (GDQM) are presented for the first time. The strains and stresses can be determined via the first-order shear deformable theory (FSDT). For accessing to various mass densities, thermal expansion as well as Poisson ratio, the rule of mixture is applied, although a modified Halpin–Tsai theory is used for obtaining the module of elasticity. The external voltage is applied to the sensor layer, while a proportional-derivative (PD) controller has been utilized for controlling the output of sensor. GPLRCs boundary conditions are derived through governing equations of the cylindrical shell using an energy method known as Hamilton’s principle. The outcomes show that the PD controller, viscoelastic foundation, slenderness factor ([Formula: see text]/[Formula: see text], external voltage and graphene nanoplatelets (GPLs) weight fraction have a considerable impact on the amplitude, and vibration behavior of a GPLRC cylindrical shell. As an applicable result in related industries, the parameter and consideration of the PD controller have a positive effect on the static and dynamic behaviors of the structure.

中文翻译：

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石墨烯纳米片增强智能外壳的振动控制

首次提出了基于广义微分求积法 (GDQM) 的数值求解方法对被压电层包围的石墨烯纳米片增强复合材料 (GPLRC) 圆柱壳作为执行器和传感器的智能控制和动态研究。应变和应力可以通过一阶剪切变形理论 (FSDT) 确定。为了获得各种质量密度、热膨胀和泊松比，应用了混合规则，尽管使用改进的 Halpin-Tsai 理论来获得弹性模量。外部电压施加到传感器层，而比例微分 (PD) 控制器已用于控制传感器的输出。GPLRC 的边界条件是通过圆柱壳的控制方程，使用一种称为 Hamilton 原理的能量方法得出的。结果表明，PD控制器、粘弹性基础、细长因子（[公式：见正文]/[公式：见正文]、外部电压和石墨烯纳米片（GPL）重量分数对振幅和振动行为有相当大的影响。 GPLRC圆柱壳作为相关行业的应用结果，PD控制器的参数和考虑对结构的静态和动态行为有积极的影响。外部电压和石墨烯纳米片 (GPL) 重量分数对 GPLRC 圆柱壳的振幅和振动行为有相当大的影响。作为相关行业的应用结果，PD控制器的参数和考虑对结构的静态和动态行为有积极的影响。外部电压和石墨烯纳米片 (GPL) 重量分数对 GPLRC 圆柱壳的振幅和振动行为有相当大的影响。作为相关行业的应用结果，PD控制器的参数和考虑对结构的静态和动态行为有积极的影响。