Acoustic transmission through single- and double-walled truncated conical shells lined with poroelastic material is analytically studied. The thin isotropic shells are excited by an oblique plane acoustic wave. The equations of motion of the shells are governed by Love's theory, and the wave propagation within the elastic porous material is described by an equivalent fluid model based on Biot's theory. To extract the acoustic pressures exerting on the surfaces of the conical shells, the shells are divided into several truncated segments which are narrow enough to be considered locally cylindrical. By employing a convergent power series solution the exact dynamic response of the conical shells is obtained. At first, the transmission loss results of this study are validated against those of previous works. Then, the results of various configurations of the single-walled conical shell lined with porous material are compared with those of its double-walled counterpart with equal mass. It is found that the single-walled shell lined with a porous layer is appropriate for sound insulation purposes at low frequencies below the first ring frequency, whereas, at higher frequencies, the double-walled sandwich shell provides better performance and more options for tuning the sound insulation. It is also shown that, except for low frequencies, the effects of the porous material and the method for bonding it to the facing shell are significant to improve the acoustic insulation ability. Finally, the influence of the porous layer thickness is investigated on the sound transmission loss.

分析研究了通过内衬多孔弹性材料的单壁和双壁截头圆锥壳的声传输。薄各向同性壳由斜平面声波激发。壳的运动方程由 Love 理论控制，而弹性多孔材料内的波传播由基于 Biot 理论的等效流体模型描述。为了提取施加在锥形外壳表面上的声压，将外壳分成几个截断的部分，这些截断部分足够窄以被视为局部圆柱形。通过采用收敛幂级数解，可以获得圆锥壳的精确动态响应。首先，本研究的传输损耗结果与先前工作的结果进行了验证。然后，将内衬多孔材料的单壁锥形壳的各种配置结果与其质量相同的双壁锥形壳的结果进行比较。发现内衬多孔层的单壁壳适用于低于第一环频率的低频下的隔音目的，而在较高频率下，双壁夹心壳提供更好的性能和更多的调谐选择。隔音。还表明，除低频外，多孔材料及其与饰面外壳的粘合方法对提高隔声能力的影响是显着的。最后，研究了多孔层厚度对传声损失的影响。