This paper presents an analytical investigation of the acoustic radiation characteristics of the new sandwich porous functionally graded material (PFGM) doubly-curved shells with full Poisson's ratio feature range using first order shear deformation theory (FSDT) and Hamiltonian principle, combined with Rayleigh integral method. By modifying the material characteristics of PFGM face sheets along their thickness, taking into account the volume fractions of components, the core layer is comprised of cellular cores exhibiting Positive Poisson's ratio (PPR), Negative Poisson's ratio (NPR), and Zero Poisson's ratio (ZPR). Two typical variations of the doubly-curved stiffened sandwich PFGM shell are examined, including the type with PFGM face sheets and metal-rich cellular cores (A-type), as well as the type with ceramic-rich cellular cores (B-type). According to Hamilton principle, the dynamic equation of PFGM doubly-curved shells is derived, and the eigenvalue of the modal function matrix is solved as natural frequency by Navier method. The far-field radiation sound pressure level of PFGM doubly-curved shells under point load is derived by using Rayleigh integral theory. The correctness and effectiveness of the proposed model are verified by comparing with the results of COMSOL simulation software and existing literatures. This study systematically compares PFGM doubly-curved shells with full Poisson's ratio range in terms of acoustic radiation characteristics. We analyzed the effects of various factors, including principal curvature radius, gradient index, porosity volume fraction, and cellular core layer types and parameters, on acoustic and vibration properties using a theoretical model. Notably, the cell core layer type significantly impacts the radiation sound pressure level (). Within 3000 Hz, ZPR's average is 81.314 dB, lower than PPR (86.942 dB) and NPR (89.666 dB). Specifically, ZPR shows an average reduction of 6.9 % and 10.27 % compared to PPR and NPR, respectively. These results underscore the superior radiation characteristics of the ZPR honeycomb core examined in this study.

中文翻译：

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具有全泊松比蜂窝芯的加劲夹层 PFGM 双曲壳的振动声学响应分析


本文利用一阶剪切变形理论（FSDT）和哈密顿原理，结合瑞利积分法，对具有全泊松比特征范围的新型夹层多孔功能梯度材料（PFGM）双曲壳的声辐射特性进行了分析研究。 。通过沿厚度修改 PFGM 面板的材料特性，同时考虑到组分的体积分数，芯层由具有正泊松比 (PPR)、负泊松比 (NPR) 和零泊松比的蜂窝芯组成。 ZPR）。研究了双曲加筋夹层 PFGM 壳体的两种典型变体，包括具有 PFGM 面板和富金属蜂窝芯的类型（A 型），以及具有富陶瓷蜂窝芯的类型（B 型） 。根据哈密顿原理，推导了PFGM双曲壳的动力学方程，并采用纳维法将模态函数矩阵的特征值求解为固有频率。利用瑞利积分理论推导了PFGM双曲壳在点载荷作用下的远场辐射声压级。通过与COMSOL仿真软件结果及现有文献的对比，验证了所提模型的正确性和有效性。本研究系统地比较了具有全泊松比范围的PFGM双曲壳的声辐射特性。我们使用理论模型分析了各种因素对声学和振动特性的影响，包括主曲率半径、梯度指数、孔隙体积分数以及蜂窝芯层类型和参数。 值得注意的是，电池芯层类型显着影响辐射声压级 ()。在3000 Hz内，ZPR的平均值为81.314 dB，低于PPR（86.942 dB）和NPR（89.666 dB）。具体而言，与 PPR 和 NPR 相比，ZPR 平均降低了 6.9% 和 10.27%。这些结果强调了本研究中检查的 ZPR 蜂窝芯材的卓越辐射特性。