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Effect of viscoelastic properties of polymer and wavy shape of the CNTs on the vibrational behaviors of CNT/glass fiber/polymer plates
Engineering with Computers ( IF 8.7 ) Pub Date : 2021-04-13 , DOI: 10.1007/s00366-021-01387-7
Farzad Ebrahimi , Reza Nopour , Ali Dabbagh

Carbon nanotube (CNT)-reinforced polymer nanocomposites possess marvelous stiffness and strength as well as viscoelastic nature due to the time-dependent properties of the polymers. Hence, adequate knowledge about their rheological behavior is required if it is aimed at using such nanomaterials in design of aerospace structures. Present manuscript is arranged to account for the time-dependency of the polymer as well as wavy shape of the CNTs while tracking the vibrational responses of multi-scale hybrid nanocomposites for the first time. To this purpose, a mixture of the modified Halpin–Tsai model and mixture’s rule is used for the homogenization process. According to the dynamic form of the virtual work’s principle, the governing equations of the problem will be attained based on a higher-order shear deformable plate theorem to consider for thick structures. In addition, the Navier’s analytical solution is implemented to extract the system’s natural frequency for simply-supported plates. The findings of this paper indicate on the fact that the vibration suppression in the nanocomposite structures can be delayed if a high value is assigned to the characteristic relaxation time of the polymer. Besides, it is illustrated that hybrid nanocomposites consisted of wavy CNTs (i.e., corresponding with more realistic case) cannot provide ideal frequencies related to the nanocomposites manufactured from straight CNTs.



中文翻译:

聚合物的粘弹性和碳纳米管的波形形状对碳纳米管/玻璃纤维/聚合物板振动特性的影响

由于聚合物随时间变化的特性,碳纳米管(CNT)增强的聚合物纳米复合材料具有出色的刚度和强度以及粘弹性。因此,如果旨在在航空航天结构设计中使用此类纳米材料,则需要对其流变行为有足够的了解。安排本手稿时考虑到聚合物的时间依赖性以及CNT的波浪形状,同时首次跟踪了多尺度杂化纳米复合材料的振动响应。为此,将改良的Halpin-Tsai模型和混合规则的混合物用于均质化过程。根据虚拟作品原理的动态形式,该问题的控制方程将基于考虑厚壁结构的高阶剪切变形板定理得出。此外,Navier的分析解决方案还可用于为简单支撑的板块提取系统的固有频率。本文的发现表明以下事实:如果将高值赋予聚合物的特征驰豫时间,则可以延迟纳米复合结构中的振动抑制。此外,示出了由波浪状CNT组成的杂化纳米复合材料(即,对应于更现实的情况)不能提供与由直的CNT制造的纳米复合材料有关的理想频率。本文的发现表明以下事实:如果将高值赋予聚合物的特征驰豫时间,则可以延迟纳米复合结构中的振动抑制。此外,示出了由波浪状的CNT组成的杂化纳米复合材料(即,对应于更现实的情况)不能提供与由直的CNT制造的纳米复合材料有关的理想频率。本文的发现表明以下事实:如果将高值赋予聚合物的特征驰豫时间,则可以延迟纳米复合结构中的振动抑制。此外,示出了由波浪状的CNT组成的杂化纳米复合材料(即,对应于更现实的情况)不能提供与由直的CNT制造的纳米复合材料有关的理想频率。

更新日期:2021-04-13
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