A theoretical model and a finite element (FE) model are proposed to evaluate the effect of high temperature on the sound absorption performance of cylindrically perforated porous materials. The theoretical model is established by applying the double porosity theory, in which the perforated porous material is considered as a combination of the porous material matrix and the cylindrical perforation. The FE model is constructed using the pressure acoustics module of the COMSOL Multiphysics software to verify the theoretical model. In these two models, the temperature effect is accounted for by applying the temperature-dependent physical parameters of the air in the porous material. Several representative examples show that the results obtained by the theoretical model agree well with those obtained by the FE model, and the sound absorption peak moves to higher frequencies as the temperature rises. The analysis of the propagation and dissipation of sound energy at different temperatures shows that the increase in temperature can prevent sound from entering the porous medium, thereby delaying the appearance of the absorption peak along the frequency axis. The perforated porous materials exhibit higher sound absorption performance than traditional homogeneous porous materials and, therefore, have enhanced high-temperature sound absorption potential.

中文翻译：

---

高温对圆柱穿孔多孔材料吸声性能的影响

提出了一种理论模型和有限元 (FE) 模型来评估高温对圆柱形穿孔多孔材料吸声性能的影响。理论模型是应用双孔隙率理论建立的，其中穿孔多孔材料被认为是多孔材料基体和圆柱穿孔的组合。有限元模型是使用 COMSOL Multiphysics 软件的压力声学模块构建的，以验证理论模型。在这两个模型中，温度效应是通过应用多孔材料中空气的温度相关物理参数来解释的。几个有代表性的例子表明，理论模型得到的结果与有限元模型得到的结果吻合得很好，随着温度的升高，吸声峰向更高的频率移动。对声能在不同温度下的传播和耗散的分析表明，温度的升高可以阻止声音进入多孔介质，从而延迟吸收峰沿频率轴的出现。穿孔多孔材料比传统的均质多孔材料表现出更高的吸声性能，因此具有增强的高温吸声潜力。