Mathematical Models and Experiments on the Acoustic Properties of Granular Packing Structures (Measurement of Tortuosity in Hexagonal Close-Packed and Face-Centered Cubic Lattices)
In this study, the sound absorption characteristics of hexagonal close-packed and face-centered cubic lattices were estimated by theoretical analysis. Propagation constants and characteristic impedances were obtained by dividing each structure into elements perpendicular to the incident direction of...
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MDPI AG
2022-10-01
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| Online Access: | https://www.mdpi.com/1996-1944/15/20/7393 |
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| author | Shuichi Sakamoto Kyosuke Suzuki Kentaro Toda Shotaro Seino |
| author_facet | Shuichi Sakamoto Kyosuke Suzuki Kentaro Toda Shotaro Seino |
| author_sort | Shuichi Sakamoto |
| collection | DOAJ |
| description | In this study, the sound absorption characteristics of hexagonal close-packed and face-centered cubic lattices were estimated by theoretical analysis. Propagation constants and characteristic impedances were obtained by dividing each structure into elements perpendicular to the incident direction of sound waves and by approximating each element to a clearance between two parallel planes. Consequently, the propagation constant and the characteristic impedance were treated as a one-dimensional transfer matrix in the propagation of sound waves, and the normal incident sound absorption coefficient was calculated by the transfer matrix method. The theoretical value of the sound absorption coefficient was derived by using the effective density applied to the measured tortuosity. As a result, the theoretical value was becoming closer to the measured value. Therefore, the measured tortuosity is reasonable. |
| first_indexed | 2024-03-09T19:53:13Z |
| format | Article |
| id | doaj.art-87b61cb17ae3401d82eccf591fb5a269 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T19:53:13Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
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| series | Materials |
| spelling | doaj.art-87b61cb17ae3401d82eccf591fb5a2692023-11-24T01:05:57ZengMDPI AGMaterials1996-19442022-10-011520739310.3390/ma15207393Mathematical Models and Experiments on the Acoustic Properties of Granular Packing Structures (Measurement of Tortuosity in Hexagonal Close-Packed and Face-Centered Cubic Lattices)Shuichi Sakamoto0Kyosuke Suzuki1Kentaro Toda2Shotaro Seino3Department of Engineering, Niigata University, Ikarashi 2-no-cho 8050, Nishi-ku, Niigata 950-2181, JapanGraduate School of Science and Technology, Niigata University, Ikarashi 2-no-cho 8050, Nishi-ku, Niigata 950-2181, JapanGraduate School of Science and Technology, Niigata University, Ikarashi 2-no-cho 8050, Nishi-ku, Niigata 950-2181, JapanGraduate School of Science and Technology, Niigata University, Ikarashi 2-no-cho 8050, Nishi-ku, Niigata 950-2181, JapanIn this study, the sound absorption characteristics of hexagonal close-packed and face-centered cubic lattices were estimated by theoretical analysis. Propagation constants and characteristic impedances were obtained by dividing each structure into elements perpendicular to the incident direction of sound waves and by approximating each element to a clearance between two parallel planes. Consequently, the propagation constant and the characteristic impedance were treated as a one-dimensional transfer matrix in the propagation of sound waves, and the normal incident sound absorption coefficient was calculated by the transfer matrix method. The theoretical value of the sound absorption coefficient was derived by using the effective density applied to the measured tortuosity. As a result, the theoretical value was becoming closer to the measured value. Therefore, the measured tortuosity is reasonable.https://www.mdpi.com/1996-1944/15/20/7393sound absorption coefficienthexagonal close-packed latticeface-centered cubic latticetortuosity |
| spellingShingle | Shuichi Sakamoto Kyosuke Suzuki Kentaro Toda Shotaro Seino Mathematical Models and Experiments on the Acoustic Properties of Granular Packing Structures (Measurement of Tortuosity in Hexagonal Close-Packed and Face-Centered Cubic Lattices) Materials sound absorption coefficient hexagonal close-packed lattice face-centered cubic lattice tortuosity |
| title | Mathematical Models and Experiments on the Acoustic Properties of Granular Packing Structures (Measurement of Tortuosity in Hexagonal Close-Packed and Face-Centered Cubic Lattices) |
| title_full | Mathematical Models and Experiments on the Acoustic Properties of Granular Packing Structures (Measurement of Tortuosity in Hexagonal Close-Packed and Face-Centered Cubic Lattices) |
| title_fullStr | Mathematical Models and Experiments on the Acoustic Properties of Granular Packing Structures (Measurement of Tortuosity in Hexagonal Close-Packed and Face-Centered Cubic Lattices) |
| title_full_unstemmed | Mathematical Models and Experiments on the Acoustic Properties of Granular Packing Structures (Measurement of Tortuosity in Hexagonal Close-Packed and Face-Centered Cubic Lattices) |
| title_short | Mathematical Models and Experiments on the Acoustic Properties of Granular Packing Structures (Measurement of Tortuosity in Hexagonal Close-Packed and Face-Centered Cubic Lattices) |
| title_sort | mathematical models and experiments on the acoustic properties of granular packing structures measurement of tortuosity in hexagonal close packed and face centered cubic lattices |
| topic | sound absorption coefficient hexagonal close-packed lattice face-centered cubic lattice tortuosity |
| url | https://www.mdpi.com/1996-1944/15/20/7393 |
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