This paper presents analytical studies on the sound transmission loss behavior of functionally graded carbon nanotube reinforced composite (FG-CNTRC) truss core sandwich structure plates subjected to plane sound wave excitation, wherein three different functionally graded patterns are introduced for the carbon nanotubes through the thickness direction of structures. The effective CNTs material properties for each type are determined by the extended rule of mixture and the governing equations are based on the first order shear deformation theory. The compatibility of displacements on the interface between the plate and the stiffeners is employed to derive the governing equation of each stiffener. By using the modal expansion approach and Rayleigh integral, the sound transmission loss is described analytically. Since no existing results of sound insulation can be found for such composite material plate structure, experimental measurements of composite stiffener sandwich plate which is composed of carbon fiber reinforced composite material are subsequently carried out to validate the theoretical model, and good agreement is achieved. Based on the developed theoretical model, the influences of the volume fractions of CNT, truss core type, distribution type of CNT, stiffener spacing, and truss core height on sound transmission loss are subsequently presented.

本文对功能梯度碳纳米管增强复合材料（FG-CNTRC）桁架芯夹层结构板在平面声波激励下的传声损失行为进行了分析研究，其中通过厚度为碳纳米管引入了三种不同的功能梯度模式。结构的方向。每种类型的有效碳纳米管材料特性由混合的扩展规则确定，控制方程基于一阶剪切变形理论。利用板与加劲肋界面位移的相容性推导出各加劲肋的控制方程。采用模态展开法和瑞利积分，对声传输损耗进行了解析描述。由于此类复合材料板结构尚无隔音效果，随后对由碳纤维增强复合材料组成的复合加强筋夹层板进行了实验测量，验证了理论模型，并取得了较好的一致性。基于所建立的理论模型，随后给出了碳纳米管的体积分数、桁架芯类型、碳纳米管的分布类型、加强筋间距和桁架芯高度对声传输损耗的影响。