Application of nano/micro structures has become popular in a wide range of advanced engineering systems in recent years. For a better insight, this paper presents an intensive numerical study on the static and dynamic responses of smart functionally graded microplates with graphene platelets (GPLs) reinforcement under concurrently mechanical and electrical loads. To this end, a powerful and effective numerical model based on refined plate theory (RPT), modified couple stress theory (MCST) and NURBS-based isogeometric analysis (IGA) is introduced to predict the complex behaviors of small-scale structures. Wherein, the MCST containing only one material length scale parameter is utilized to capture the size-dependent effects while the four-variable RPT-based IGA approach is exploited to describe the displacement field. The host microplate can be constituted by four different GPLs dispersions and integrated with two symmetric piezoelectric layers. A closed-loop control procedure based on displacement and velocity feedback gains is employed to actively control the static and dynamic responses of smart small-scale structures, which takes into account the structural damping effect. Several numerical examples are performed to examine the influence of some key parameters such as geometry, material length scale parameter, boundary condition, dynamic load, input electrical voltage as well as weight fraction and distribution of GPLs.

近年来，纳米/微结构的应用已在各种先进的工程系统中流行。为了获得更好的见解，本文对同时具有机械和电气负载的具有石墨烯血小板（GPL）增强功能的智能功能梯度微孔板的静态和动态响应进行了深入的数值研究。为此，引入了基于精化板理论（RPT），修正偶应力理论（MCST）和基于NURBS的等几何分析（IGA）的强大有效的数值模型，以预测小规模结构的复杂行为。其中，仅包含一个材料长度尺度参数的MCST被用来捕获尺寸依赖的效应，而基于四变量RPT的IGA方法被用来描述位移场。主体微板可以由四个不同的GPL分散体构成，并与两个对称的压电层集成在一起。考虑到结构的阻尼效应，采用基于位移和速度反馈增益的闭环控制程序来主动控制智能小型结构的静态和动态响应。进行了几个数值示例，以检查一些关键参数的影响，例如几何形状，材料长度比例参数，边界条件，动态载荷，输入电压以及GPL的重量分数和分布。考虑到结构的阻尼效应，采用基于位移和速度反馈增益的闭环控制程序来主动控制智能小型结构的静态和动态响应。进行了几个数值示例，以检验一些关键参数的影响，例如几何形状，材料长度比例参数，边界条件，动态载荷，输入电压以及GPL的重量分数和分布。考虑到结构的阻尼效应，采用基于位移和速度反馈增益的闭环控制程序来主动控制智能小型结构的静态和动态响应。进行了几个数值示例，以检查一些关键参数的影响，例如几何形状，材料长度比例参数，边界条件，动态载荷，输入电压以及GPL的重量分数和分布。