Sloshing in Regular Polygonal Basins—Frequencies, Modes, and TileabilitySource: Journal of Fluids Engineering:;2020:;volume( 142 ):;issue: 006Author:Wang, C. Y.
DOI: 10.1115/1.4046189Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The classical theory of small amplitude shallow water waves is applied to regular polygonal basins. The natural frequencies of the basins are related to the eigenvalues of the Helmholtz equation. Exact solutions are presented for triangular, square, and circular basins while pentagonal, hexagonal, and octagonal basins are solved, for the first time, by an efficient Ritz method. The first five eigenvalues of each basin are tabulated and the corresponding mode shapes are discussed. Tileability conditions are presented. Some modes (eigenmodes) can be tiled into larger domains.
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| contributor author | Wang, C. Y. | |
| date accessioned | 2022-02-04T14:14:50Z | |
| date available | 2022-02-04T14:14:50Z | |
| date copyright | 2020/03/05/ | |
| date issued | 2020 | |
| identifier issn | 0098-2202 | |
| identifier other | fe_142_06_064502.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4273265 | |
| description abstract | The classical theory of small amplitude shallow water waves is applied to regular polygonal basins. The natural frequencies of the basins are related to the eigenvalues of the Helmholtz equation. Exact solutions are presented for triangular, square, and circular basins while pentagonal, hexagonal, and octagonal basins are solved, for the first time, by an efficient Ritz method. The first five eigenvalues of each basin are tabulated and the corresponding mode shapes are discussed. Tileability conditions are presented. Some modes (eigenmodes) can be tiled into larger domains. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Sloshing in Regular Polygonal Basins—Frequencies, Modes, and Tileability | |
| type | Journal Paper | |
| journal volume | 142 | |
| journal issue | 6 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.4046189 | |
| page | 64502 | |
| tree | Journal of Fluids Engineering:;2020:;volume( 142 ):;issue: 006 | |
| contenttype | Fulltext |