Abstract

In the current report, characteristics of the propagated waves in a multi-hybrid nanocomposite (MHC) reinforced doubly curved panel is investigated. First-order shear deformable theory (FSDT) is applied to formulate the stress-strain relations. The rule of mixture and modified Halpin–Tsai model are engaged to provide the effective material constant of the composite panel. By employing Hamilton’s principle, the governing equations of the structure are derived and solved with the aid of an analytical method. Afterward, a parametric study is carried out to investigate the effects of the (carbon nanotubes’) CNTs' weight fraction, various MHC patterns, small radius to total thickness ratio, and carbon fibers angel on the phase velocity of the MHC reinforced panel. The results show that the sensitivity of the phase velocity of the MHC panel to the $W_{\mathit{CNT}}$ and different face sheet patterns can decrease when we consider the core of the panel much thicker. Another consequence is that the highest and lowest phase velocity in all range of wave numbers could be seen for the MHC reinforced doubly carved panel with pattern 3 and 1, respectively. It is also observed that as the weight fraction of the CNTs rises, the sensitivity of the phase velocity to wavenumber and fibers angle will decrease. The useful suggestion of this study is that for designing a structure, we should have an attention to the pattern and higher value of the wavenumber, simultaneously. The presented study outputs can be used in ultrasonic inspection techniques and structural health monitoring.

摘要

在当前的报告中，研究了复合纳米复合材料（MHC）增强的双曲面板中传播波的特性。应用一阶剪切变形理论（FSDT）来表示应力-应变关系。混合规则和修改后的Halpin-Tsai模型相结合，以提供复合面板的有效材料常数。利用汉密尔顿原理，借助解析方法推导并求解了结构的控制方程。随后，进行了参数研究，以研究（碳纳米管）CNT的重量分数，各种MHC模式，较小的半径与总厚度比以及碳纤维角度对MHC增强板的相速度的影响。结果表明，MHC面板的相速度对传感器的敏感性。${\mathrm{w\; ^}}_{\mathit{碳纳米管}}$当我们认为面板的核心更厚时，不同的面板样式会减少。另一个结果是，对于MHC增强型双面雕刻面板，分别具有样式3和样式1，可以看到所有波数范围内的最高和最低相速度。还观察到，随着CNT的重量分数的增加，相速度对波数和纤维角的灵敏度将降低。这项研究的有用建议是，在设计结构时，我们应同时注意波数的模式和较高的值。提出的研究结果可用于超声检查技术和结构健康监测。