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Vibration analysis of multi-scale hybrid nanocomposite shells by considering nanofillers’ aggregation
Waves in Random and Complex Media ( IF 4.051 ) Pub Date : 2020-08-27 , DOI: 10.1080/17455030.2020.1810363
Farzad Ebrahimi 1 , Ali Dabbagh 2
Affiliation  

Free oscillation analysis of shells consisted of multi-scale hybrid nanocomposites is carried out with regard to the destroying effect of the nanofillers’ agglomeration on the system’s dynamics. The equivalent material properties of the hybrid nanocomposite are obtained in the framework of a bi-level micromechanical procedure. The influence of existence of agglomerated carbon nanotubes (CNTs) on the stiffness of the nanocomposite is included with the aid of the Eshelby-Mori-Tanaka method. Thereafter, the first-order shear deformation theory (FSDT) of the shells will be combined with the dynamic form of the principle of virtual work to reach the Euler-Lagrange equations of the problem. Next, the governing equations will be extracted from the Euler-Lagrange ones by using the constitutive equations of the nanocomposite. To obtain the natural frequencies of the system for shells with clamped and simply supported ends, the Galerkin’s method is hired. The validity check reveals that the utilized methodology is powerful enough to predict the frequency behaviors of nanocomposite shells. According to the results, it can be inferred that the hybrid nanocomposite shells may be involved in resonance phenomenon in low-range frequencies if the impact of the CNTs’ aggregation is neglected. Obviously, the volume fraction of the CNTs inside the inclusions plays a magnificent role in the determination of the system’s dynamic behavior.



中文翻译:

考虑纳米填料聚集的多尺度混合纳米复合材料壳的振动分析

针对纳米填料团聚对系统动力学的破坏作用,对由多尺度杂化纳米复合材料组成的壳进行了自由振荡分析。混合纳米复合材料的等效材料特性是在双层微机械程序的框架内获得的。借助 Eshelby-Mori-Tanaka 方法,包括了团聚碳纳米管 (CNT) 的存在对纳米复合材料刚度的影响。此后,将壳的一阶剪切变形理论(FSDT)与虚功原理的动力学形式相结合,得出问题的欧拉-拉格朗日方程。接下来,将通过使用纳米复合材料的本构方程从欧拉-拉格朗日方程中提取控制方程。为了获得具有夹紧和简单支撑端的壳的系统的固有频率,采用了 Galerkin 方法。有效性检查表明,所使用的方法足以预测纳米复合材料壳的频率行为。根据结果​​,可以推断如果忽略碳纳米管聚集的影响,杂化纳米复合材料壳可能参与低频共振现象。显然,夹杂物中碳纳米管的体积分数在确定系统的动态行为方面起着重要作用。根据结果​​,可以推断如果忽略碳纳米管聚集的影响,杂化纳米复合材料壳可能参与低频共振现象。显然,夹杂物中碳纳米管的体积分数在确定系统的动态行为方面起着重要作用。根据结果​​,可以推断如果忽略碳纳米管聚集的影响,杂化纳米复合材料壳可能参与低频共振现象。显然,夹杂物中碳纳米管的体积分数在确定系统的动态行为方面起着重要作用。

更新日期:2020-08-27
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