Abstract In this paper, wave propagation analysis of multi-hybrid nanocomposite (MHC) reinforced doubly curved panel embedded in the viscoelastic foundation is carried out. Higher-order shear deformable theory (HSDT) is utilized to express the displacement kinematics. The rule of mixture and modified Halpin–Tsai model are engaged to provide the effective material constant of the MHC reinforced doubly curved 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 viscoelastic foundation, carbon nanotubes’ (CNTs’) weight fraction, various MHC patterns, radius to total thickness ratio, and carbon fibers angel on the phase velocity of the MHC reinforced doubly curved panel in the viscoelastic medium. The results show that, by considering the viscous parameter, the relation between wavenumber and phase velocity changes from exponential increase to logarithmic boost. A useful suggestion of this research is that the effects of fiber angel and damping parameter on the phase velocity of a doubly curved 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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多尺度混合纳米复合双曲面粘弹性板的波传播

摘要 本文对嵌入粘弹性地基中的多混合纳米复合材料（MHC）增强双曲面板的波传播进行了分析。利用高阶剪切变形理论（HSDT）来表达位移运动学。混合规则和修改后的 Halpin-Tsai 模型用于提供 MHC 增强双曲面面板的有效材料常数。利用哈密顿原理，借助解析方法推导出结构的控制方程并求解。然后，进行参数研究以研究粘弹性基础、碳纳米管 (CNTs) 重量分数、各种 MHC 模式、半径与总厚度比的影响，和碳纤维对 MHC 增强双曲面面板在粘弹性介质中的相速度的影响。结果表明，通过考虑粘性参数，波数与相速度的关系由指数增长变为对数增长。这项研究的一个有用建议是，纤维角度和阻尼参数对双曲面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。这项研究的一个有用建议是，纤维角度和阻尼参数对双曲面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。这项研究的一个有用建议是，纤维角度和阻尼参数对双曲面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。