Abstract

The size-dependent sound transmission loss problem of an air-filled functionally graded material cylindrical shell subjected to a plane progressive sound wave with even and uneven porosity distributions was analytically studied using a nonlocal strain gradient and the first-order shear deformation theories. To simulate the heterogeneous material, the impressive material properties were supposed to be associated with the porosity volume fraction model, based on a power-law model. They were suggested to be constantly changeable along the thickness direction. The motion equations were extracted by Hamilton’s principle and then solved using the Fourier-Bessel series. The accuracy of the obtained formulation were strictly proved by comparing the data accessible in the literature. Parameter studies reveal the effects of material gradient index, size scale factors, porosity volume fraction, and incident angles on the variations in the amplitude of sound transmission loss through the nanoshell.

摘要

利用非局部应变梯度和一阶剪切变形理论，对充气的功能梯度材料圆柱壳在平面渐进声波下具有均匀且不均匀的孔隙率分布的尺寸相关的传声损失问题进行了分析研究。为了模拟非均质材料，应该基于幂律模型将令人印象深刻的材料属性与孔隙率分数模型相关联。建议它们沿厚度方向不断变化。根据汉密尔顿原理提取运动方程，然后使用傅里叶-贝塞尔级数求解。通过比较文献中可获得的数据，严格证明了所获得配方的准确性。参数研究揭示了材料梯度指数的影响，