Afzal Muhammad, Satti Junaid Uzair, Wahab Abdul, Nawaz Rab
Department of Mathematics, Capital University of Science and Technology, 44000, Islamabad, Pakistan.
Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, 53 Kabanbay Batyr Avenue, Nur-Sultan, 01000, Kazakhstan.
J Acoust Soc Am. 2022 Jan;151(1):31. doi: 10.1121/10.0009025.
The acoustic performance of a silencer containing elastic membranes backed by cavities and porous material is investigated. The modeled waveguide configuration contains porous screens as well as the metallic fairings at interfaces between the inlet and outlet and the expansion chamber. The mode-matching solution is developed to analyze the attenuation of the silencer. The governing eigen-sub-systems are Sturm-Liouville and non-Sturm-Liouville types. In the latter case, the exploitation of generalized orthogonality conditions reveals the point-wise convergence of the solution to the governing eigen-systems. The study shows that by tuning the material parameters of the isotropic membranes and altering the bounding wall conditions, the performance of the physical device can be improved. It enables the model configuration to be adopted as a passive or reactive noise control device.
研究了一种包含由空腔和多孔材料支撑的弹性膜的消声器的声学性能。所建模型的波导结构包含多孔筛网以及入口、出口和膨胀室之间界面处的金属整流罩。开发了模式匹配解法来分析消声器的衰减。控制本征子系统为斯特姆 - 刘维尔型和非斯特姆 - 刘维尔型。在后一种情况下，利用广义正交条件揭示了求解控制本征系统时解的逐点收敛性。研究表明，通过调整各向同性膜的材料参数并改变边界壁条件，可以提高物理装置的性能。这使得该模型结构能够用作无源或有源噪声控制装置。
