Reflection and transmission of waves across a gap between two semi-infinite elastic plates on water
Reflection and transmission of waves across a gap between two semi-infinite elastic plates on water
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DOI：
10.1093/qjmamj/hbh011
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发表时间：
2005-02
影响因子：
0.9
通讯作者：
Hyuck Chung;C. Linton
中科院分区：
文献类型：
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作者：
Hyuck Chung;C. Linton
我们描述了一种新方法来研究穿过漂浮在有限深度水面上的两个半无限弹性板之间的有限宽度间隙传播的波浪。流体运动的速度势满足拉普拉斯方程，间隙中的线性化自由表面边界条件和薄板方程对弹性板进行建模。该求解方法基于作者之前用于求解半无限冰盖问题的残差微积分技术（RCT）。我们强调 RCT 在应用于有限间隙及相关问题时的优点和局限性。
We describe a new approach to investigating the waves that propagate across a gap of finite width between two semi-infinite elastic plates floating on water of finite depth. The velocity potential for the fluid motion satisfies Laplace's equation, with the linearized free-surface boundary condition in the gap and thin plate equations modelling the elastic plates. The method of solution is based on the residue calculus technique (RCT) which was previously used by the authors to solve the semi-infinite ice-sheet problem. We highlight the advantages and limitations of the RCT when applied to the finite-gap and related problems.