Transports and sound absorption performance of foam-based absorbers are influenced by the morphologies of their pore connections. Understanding the microstructure–property relationships of sound absorbers can provide valuable insights and guidance for designing and manufacturing steps. We develop in this paper surrogate models based on the polynomial chaos expansion to predict the acoustic behavior of graded foam absorbers. Regarding the local morphology of foams, three representative factors including the porosity, the cell size, and the membrane closure ratio are considered through a periodic unit cell. Then, the reference maps of transport properties are computed via the hybrid numerical method based on the homogenization technique, surrogates are consequently generated in the designing space involving the morphology features. Finally, after evaluating their convergence characteristics and verification study, the surrogate models are adopted to study foam layers within different graded characteristics. Within a tolerance error, the surrogate models of transport properties offer advantages in terms of the computational efficiency and predictability. Both surrogate model-based investigation and optimization frameworks allow estimating the local morphology factors where the desired sound absorption properties of the graded foam absorbers can be achieved.

泡沫吸音材料的传输和吸音性能受其孔隙连接形态的影响。了解吸音器的微观结构-性能关系可以为设计和制造步骤提供有价值的见解和指导。我们在本文中开发了基于多项式混沌展开的替代模型来预测分级泡沫吸音器的声学行为。关于泡沫的局部形态，通过周期性晶胞考虑三个代表性因素，包括孔隙率、泡孔尺寸和膜闭合率。然后，通过基于均匀化技术的混合数值方法计算传输特性的参考图，从而在涉及形态特征的设计空间中生成代理项。最后，在评估它们的收敛特性和验证研究后，采用替代模型来研究不同等级特征的泡沫层。在公差误差范围内，传输属性的替代模型在计算效率和可预测性方面具有优势。基于替代模型的调查和优化框架都允许估计局部形态因素，在这些因素中可以实现分级泡沫吸收器所需的吸声特性。