Analytical solutions for single and multiple scattering from rib-stiffened plates in water
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910399016730624 |
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| author | Yekta, Hesam Bakhtiary Norris, Andrew N. |
| author_facet | Yekta, Hesam Bakhtiary Norris, Andrew N. |
| contents | The interaction of an acoustic plane wave with a pair of plates connected by periodically spaced stiffeners in water is considered. The rib-stiffened structure is called a "flex-layer" because its low frequency response is dominated by bending stiffness. The quasi-static behavior is equivalent a homogeneous layer of compressible fluid, which we identify as air for the purposes of comparison. In this way an air layer is acoustically the same as a pair of thin elastic plates connected by a periodic spacing of ribs. At discrete higher frequencies the flex-layer exhibits perfect acoustic transmission, the cause of which is identified as fluid-loaded plate waves propagating back and forth between the ribs. Both the low and finite frequency behavior of the flex-layer are fully explained by closed-form solutions for reflection and transmission. The analytical model is extended to two flex-layers in series, introducing new low and high frequency phenomena that are explained in terms of simple lumped parameter models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_13832 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytical solutions for single and multiple scattering from rib-stiffened plates in water Yekta, Hesam Bakhtiary Norris, Andrew N. Applied Physics Classical Physics The interaction of an acoustic plane wave with a pair of plates connected by periodically spaced stiffeners in water is considered. The rib-stiffened structure is called a "flex-layer" because its low frequency response is dominated by bending stiffness. The quasi-static behavior is equivalent a homogeneous layer of compressible fluid, which we identify as air for the purposes of comparison. In this way an air layer is acoustically the same as a pair of thin elastic plates connected by a periodic spacing of ribs. At discrete higher frequencies the flex-layer exhibits perfect acoustic transmission, the cause of which is identified as fluid-loaded plate waves propagating back and forth between the ribs. Both the low and finite frequency behavior of the flex-layer are fully explained by closed-form solutions for reflection and transmission. The analytical model is extended to two flex-layers in series, introducing new low and high frequency phenomena that are explained in terms of simple lumped parameter models. |
| title | Analytical solutions for single and multiple scattering from rib-stiffened plates in water |
| topic | Applied Physics Classical Physics |
| url | https://arxiv.org/abs/2403.13832 |