Lee Joong Seok, Kim Eun Il, Kim Yoon Young, Kim Jung Soo, Kang Yeon June
National Creative Research Initiatives Multiscale Design Center, School of Mechanical and Aerospace Engineering, Seoul National University, Shinlim-Dong San 56-1, Kwanak-Gu, Seoul 151-742, Korea.
J Acoust Soc Am. 2007 Oct;122(4):2097-106. doi: 10.1121/1.2770541.
Optimal layer sequencing of a multilayered acoustical foam is solved to maximize its sound transmission loss. A foam consisting of air and poroelastic layers can be optimized when a limited amount of a poroelastic material is allowed. By formulating the sound transmission loss maximization problem as a one-dimensional topology optimization problem, optimal layer sequencing and thickness were systematically found for several single and ranges of frequencies. For optimization, the transmission losses of air and poroelastic layers were calculated by the transfer matrix derived from Biot's theory. By interpolating five intrinsic parameters among several poroelastic material parameters, distinct air-poroelastic layer distributions were obtained; no filtering or postprocessing was necessary. The optimized foam layouts by the proposed method were shown to differ depending on the frequency bands of interest.
求解多层声学泡沫的最佳层序排列，以使其传声损失最大化。当允许使用有限量的多孔弹性材料时，由空气层和多孔弹性层组成的泡沫可得到优化。通过将传声损失最大化问题表述为一维拓扑优化问题，系统地找到了几个单频和频率范围的最佳层序排列及厚度。为进行优化，利用从比奥理论导出的传递矩阵计算空气层和多孔弹性层的传声损失。通过在几个多孔弹性材料参数中插值五个本征参数，获得了不同的空气 - 多孔弹性层分布；无需滤波或后处理。所提方法得到的优化泡沫布局显示出因感兴趣的频带而异。
