To the best of the authors’ knowledge, this is the first attempt in the open literature to study the active control of the dynamic response of functionally graded carbon nanotube–reinforced composite plates with piezoelectric layers, as target composite plates, subjected to impact loading. The theoretical formulation of the composite plates with piezoelectric layers is developed using the element-free improved moving least-squares Ritz model and the higher-order shear deformation theory. The effective material properties of the carbon nanotube–reinforced composite layer are estimated by the Mori–Tanaka method. The modified nonlinear Hertz contact law is used to identify the contact force between the target composite plates and the spherical impactor. The Newmark time integration method is utilized to calculate the resulting dynamic response. A constant velocity feedback controller is efficiently used for the active control of the dynamic response of the target plates subjected to impact loading. The results revealed that the current model can successfully reduce and suppress the resulting displacement caused by impact loading. Additionally, the effects of some passive configurations on the target plates’ dynamic response are presented. The effect of altering both active and passive control configurations together on the target plates’ dynamic response is discussed as well.

中文翻译：

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主动控制带有压电层的功能梯度碳纳米管增强复合板承受冲击载荷

就作者所知，这是公开文献中首次尝试主动控制功能梯度的带有压电层的碳纳米管增强复合板（作为目标复合板）承受冲击载荷的动态响应。使用无单元改进的移动最小二乘Ritz模型和高阶剪切变形理论，开发了具有压电层的复合板的理论公式。碳纳米管增强复合材料层的有效材料性能通过Mori-Tanaka方法估算。修改后的非线性赫兹接触定律用于识别目标复合板和球形冲击器之间的接触力。Newmark时间积分方法用于计算结果动态响应。恒定速度反馈控制器可有效地用于主动控制承受冲击载荷的目标板的动态响应。结果表明，当前模型可以成功地减少和抑制由冲击载荷引起的位移。此外，还介绍了一些被动配置对目标板动态响应的影响。还讨论了同时更改主动和被动控制配置对目标板动态响应的影响。给出了一些被动配置对目标板动力响应的影响。还讨论了同时更改主动和被动控制配置对目标板动态响应的影响。给出了一些被动配置对目标板动力响应的影响。还讨论了同时更改主动和被动控制配置对目标板动态响应的影响。