In the current report, characteristics of the propagated wave in a sandwich structure with a soft core and multi-hybrid nanocomposite (MHC) face sheets are investigated. The higher-order shear deformable theory (HSDT) is applied to formulate the stresses and strains. Rule of the mixture and modified Halpin–Tsai model are engaged to provide the effective material constant of the multi-hybrid nanocomposite face sheets of the sandwich panel. By employing Hamilton’s principle, the governing equations of the structure are derived. Via the compatibility rule, the bonding between the composite layers and a soft core is modeled. Afterward, a parametric study is carried out to investigate the effects of the CNTs' weight fraction, core to total thickness ratio, various FG face sheet patterns, small radius to total thickness ratio, and carbon fiber angel on the phase velocity of the FML panel. The results show that the sensitivity of the phase velocity of the FML panel to the WCNT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${W}_{\rm{CNT}}$$\end{document} and different FG face sheet patterns can decrease when we consider the core of the panel more much thicker. It is also observed that the effects of fiber angel and core to total thickness ratio on the phase velocity of the FML panel are hardly dependent on the wavenumber. The presented study outputs can be used in ultrasonic inspection techniques and structural health monitoring.

中文翻译：

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夹心双曲面纳米复合板中传播波的计算框架

在当前的报告中，研究了具有软核和多杂化纳米复合材料 (MHC) 面板的夹层结构中传播波的特性。应用高阶剪切变形理论 (HSDT) 来计算应力和应变。混合规则和改进的 Halpin-Tsai 模型用于提供夹层板多杂化纳米复合材料面板的有效材料常数。利用哈密顿原理，推导出结构的控制方程。通过兼容性规则，对复合层和软芯之间的结合进行建模。然后，进行参数研究以研究碳纳米管的重量分数、芯与总厚度比、各种 FG 面板图案、小半径与总厚度比的影响，和碳纤维角度对 FML 面板相速度的影响。结果表明FML面板的相速度对WCNT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}的敏感性\usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${W}_{\rm{CNT}}$$\end{document} 和不同的 FG 面板当我们考虑面板的核心更厚时，图案可以减少。还观察到纤维角度和纤芯与总厚度比对 FML 面板相速度的影响几乎不依赖于波数。所提出的研究输出可用于超声波检测技术和结构健康监测。结果表明FML面板的相速度对WCNT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}的敏感性\usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${W}_{\rm{CNT}}$$\end{document} 和不同的 FG 面板当我们考虑面板的核心更厚时，图案可以减少。还观察到纤维角度和纤芯与总厚度比对 FML 面板相速度的影响几乎不依赖于波数。所提出的研究输出可用于超声波检测技术和结构健康监测。结果表明FML面板的相速度对WCNT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}的敏感性\usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${W}_{\rm{CNT}}$$\end{document} 和不同的 FG 面板当我们考虑面板的核心更厚时，图案可以减少。还观察到纤维角度和纤芯与总厚度比对 FML 面板相速度的影响几乎不依赖于波数。所提出的研究输出可用于超声波检测技术和结构健康监测。