An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts
An approximate analytical solution of sloshing frequencies for a liquid in the various shape aqueducts is formulated by using the Ritz method. The present approximate method is, respectively, applied to find the sloshing frequencies of the liquid in rectangular, trapezoid, oval, circular, U-shaped t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/672648 |
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| _version_ | 1850173799842971648 |
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| author | Yuchun Li Zhuang Wang |
| author_facet | Yuchun Li Zhuang Wang |
| author_sort | Yuchun Li |
| collection | DOAJ |
| description | An approximate analytical solution of sloshing frequencies for a liquid in the various shape aqueducts is formulated by using the Ritz method. The present approximate method is, respectively, applied to find the sloshing frequencies of the liquid in rectangular, trapezoid, oval, circular, U-shaped tanks (aqueducts), and various shape tuned liquid dampers (TLD). The first three antisymmetric and symmetric frequencies by the present approach are within 5% accuracy compared to the other analytical, numerical, and experimental values. The approximate solutions of this paper for the various shape aqueducts are acceptable to the engineering applications. |
| format | Article |
| id | doaj-art-d3afb12954a644ea8d37fa6db3b1a3bc |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d3afb12954a644ea8d37fa6db3b1a3bc2025-08-20T02:19:47ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/672648672648An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape AqueductsYuchun Li0Zhuang Wang1Department of Hydraulic Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, ChinaResearch Institute of Structural Engineering and Disaster Reduction, Tongji University, 1239 Siping Road, Shanghai 200092, ChinaAn approximate analytical solution of sloshing frequencies for a liquid in the various shape aqueducts is formulated by using the Ritz method. The present approximate method is, respectively, applied to find the sloshing frequencies of the liquid in rectangular, trapezoid, oval, circular, U-shaped tanks (aqueducts), and various shape tuned liquid dampers (TLD). The first three antisymmetric and symmetric frequencies by the present approach are within 5% accuracy compared to the other analytical, numerical, and experimental values. The approximate solutions of this paper for the various shape aqueducts are acceptable to the engineering applications.http://dx.doi.org/10.1155/2014/672648 |
| spellingShingle | Yuchun Li Zhuang Wang An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts Shock and Vibration |
| title | An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts |
| title_full | An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts |
| title_fullStr | An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts |
| title_full_unstemmed | An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts |
| title_short | An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts |
| title_sort | approximate analytical solution of sloshing frequencies for a liquid in various shape aqueducts |
| url | http://dx.doi.org/10.1155/2014/672648 |
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