Oblique wave scattering by a semi-infinite elastic plate with finite draft floating on a step topography

• Published in: Acta oceanologica Sinica Vol. 35; no. 7; pp. 113 - 121
• Main Authors: Guo, Yunxia, Liu, Yong, Meng, Xun
• Format: Journal Article
• Language: English
• Published: Beijing The Chinese Society of Oceanography 01.07.2016; Springer Nature B.V; Institute of 0ceanology, Chinese Academy of Sciences, Qingdao 266071, China%Shandong Provincial Key Laboratory of 0cean Engineering, 0cean University of China, Qingdao 266100, China
• Subjects: Beam theory (structures); Bottom topography; Climatology; Coefficients; Earth and Environmental Science; Earth Sciences; Ecology; Eigenfunctions; Eigenvectors; Elastic plates; Energy conservation; Engineering Fluid Dynamics; Environmental Chemistry; Euler-Bernoulli beams; Exact solutions; Floating; Ice sheets; Linear algebra; Marine; Marine & Freshwater Sciences; Oceanography; Potential theory; Thermal expansion; Topography; Wave scattering; 半无限; 台阶地形; 弹性板; 波散射; 浮体; 线性代数方程组; 边缘条件; 阶梯; China; step topography; elastic plate; plate edge conditions; matched eigenfunction expansions; oblique waves; draft
• ISSN: 0253-505X; 1869-1099
• DOI: 10.1007/s13131-015-0760-2

On the basis of a potential theory and Euler-Bernoulli beam theory, an analytical solution for oblique wave scattering by a semi-infinite elastic plate with finite draft floating on a step topography is developed using matched eigenfunction expansions. Different from previous studies, the effects of a wave incident angle, a plate draft, three different plate edge conditions （free, simply supported and built-in） and a sea-bottom topography are all taken into account. Moreover, the plate edge conditions are directly incorporated into linear algebraic equations for determining unknown expansion coefficients in velocity potentials, which leads to a simple and efficient solving procedure. Numerical results show that the convergence of the present solution is good, and an energy conservation relation is well satisfied. Also, the present predictions are in good agreement with known results for special cases. The effects of the wave incident angle, the plate draft, the plate edge conditions and the sea-bottom topography on various hydrodynamic quantities are analyzed. Some useful results are presented for engineering designs.