Bragg reflection of water waves by multiple floating horizontal flexible membranes with submerged rectangular bars on the seabed |
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| Institution: | 1. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, China;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, China;3. School of Transportation, Wuhan University of Technology, Wuhan, Hubei, China;1. Department of Harbor and River Engineering, National Taiwan Ocean University, 2 Pei Ning Road, Keeling 20224, Taiwan, ROC;2. Department of NCKU Hydraulic and Ocean Engineering R&D Foundation, No. 1, University Road, Tainan 701, Taiwan, ROC |
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| Abstract: | Bragg reflection of water waves by multiple floating horizontal flexible membranes is investigated based on the linear wave theory and the assumption of small membrane response. Under the floating horizontal membranes, periodical submerged rectangular bars are arranged on the flat seabed. The total reflection and transmission coefficients are obtained by using the eigenfunction expansion method and the wide spacing approximation. The calculated coefficients are validated with the results available in the literature, which shows that the present method is applicable. The characteristics of Bragg reflection are systematically investigated by changing various parameters including the height of the rectangular bars, the number, the tension, the spacing, and the length of the flexible membranes. The results can help designing multiple floating horizontal flexible membranes as effective floating breakwaters by taking advantage of Bragg reflection. |
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| Keywords: | Bragg reflection Floating horizontal flexible membranes Submerged rectangular bars Eigenfunction expansion method Wide spacing approximation |
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