The effects of graded dispersion of graphene platelets and porosity on vibro-acoustics of nanocomposite plate exposed to variable edge loads are analytically investigated. Voigt and Halpin–Tsai micromechanics model is used to obtain effective properties of the porous graphene nanocomposites. The strain energy technique is implemented to estimate the buckling load (Pcr). By means of Reddy’s third-order shear deformation theorem and Rayleigh Integral, vibration and acoustic responses are obtained. After validating the present analysis with the published results, the nature of edge loads on buckling and vibro-acoustic response is significant. It is noted that an increase in the intensity of non-uniform in-plane loads leads to changes in free vibration modes and resonant amplitude of response. The weight percentage and grading pattern of graphene reinforcement cause the stiffness hardening effect, whereas porosity distribution and coefficients cause the stiffness softening effect on the nanocomposite plate. It is found that the plate with symmetric distribution of graphene platelets with more concentration at the surface and symmetric porosity variation with more porosity at the center radiates less sound power.

中文翻译：

---

石墨烯纳米复合板声辐射特性的解析解：孔隙率和可变边缘载荷的影响

分析研究了石墨烯薄片的分级分散和孔隙率对暴露于可变边缘载荷的纳米复合材料板的振动声学的影响。Voigt 和 Halpin-Tsai 微力学模型用于获得多孔石墨烯纳米复合材料的有效特性。应变能技术用于估计屈曲载荷 (磷铬）。利用Reddy的三阶剪切变形定理和瑞利积分，获得了振动和声学响应。在用已发表的结果验证了当前的分析后，屈曲和振动声学响应的边缘载荷的性质是显着的。值得注意的是，非均匀面内载荷强度的增加会导致自由振动模式和共振响应幅度的变化。石墨烯增强的重量百分比和分级模式导致刚度硬化效应，而孔隙率分布和系数导致纳米复合板的刚度软化效应。研究发现，石墨烯薄片对称分布，表面浓度较高，孔隙率对称变化，中心孔隙率较高，辐射的声功率较小。