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| 1 | Flexural-gravity wave resistances due to a surface-moving line source on a fluid covered by a thin elastic plate显示文摘Analytical solutions for the flexural-gravity wave resistances due to a line source steadily moving on the surface of an infinitely deep fluid are investigated within the framework of the linear potential theory. The homogenous fluid, covered by a thin elastic plate, is assumed to be incompressible and inviscid, and the motion to be irrotational. The solution in integral form for the wave resistance is obtained by means of the Fourier transform and the explicitly analytical solutions are derived with the aid of the residue theorem. The dispersion relation shows that there is a minimal phase speed c min , a threshold for the existence of the wave resistance. No wave is generated when the moving speed of the source V is less than c min while the wave resistances firstly increase to their peak values and then decrease when V c min . The effects of the flexural rigidity and the inertia of the plate are studied. | D.Q.Lu H.Zhang | 2013 | Theoretical & Applied Mechanics Letters2013，3，2： | 2 |
| 2 | Generation of unsteady waves by concentrated disturbances in an inviscid fluid with an inertial surface显示文摘不稳定的集中的骚乱与惯性的表面在无限的深度的开始静止的液体产生的表面波浪是为二维、三维的案例调查的经分解。液体被假定在胶粘、不可压缩、同质。惯性的表面代表非交往的漂浮物质的薄一致分布的效果。不稳定的集中的骚乱和二种起始的价值的四种类型被考虑,也就是, instantaneous/oscillating 团来源在液体,表面上的 instantaneous/oscillating 推动,液体的表面上的起始的推动,和表面的起始的排水量沉浸。线性化的 initial-boundary-value 问题在潜在的流动的框架以内被提出。在为表面举起的不可分的形式的答案借助于联合 Laplace Fourier 变换被获得。在有固定 distance-to-time 比率的大时间的波浪运动的 asymptotic 代表被使用静止阶段的方法导出。波浪运动上的惯性的表面的存在的效果被分析。当那些不变的进步波浪减少时,短暂散波浪的波长增加,这被发现。所有波浪振幅常规免费表面的波浪与那些比较减少。当惯性的表面消失,为免费表面的严肃波浪的明确的表情能被现在的结果乐意地恢复。 | D.Q.Lu S.Q.Dai | 2008 | Acta Mechanica Sinica2008，24，3： | 2 |
| 3 | Head-on collision between two hydroelastic solitary waves with Plotnikov-Toland's plate model显示文摘Head-on collision between two hydroelastic solitary waves propagating at the surface of an incompressible and ideal fluid covered by a thin ice sheet is analytically studied by means of a singular perturbation method. The ice sheet is represented by the Plotnikov-Toland model with the help of the special Cosserat theory of hyperelastic shells and the Kirchhoff-Love plate theory,which yields the nonlinear and conservative expression for the bending forces. The shallow water assumption is taken for the fluid motion with the Boussinesq approximation. The resulting governing equations are solved asymptotically with the aid of the Poincaré-Lighthill-Kuo method,and the solutions up to the third order are explicitly presented. It is observed that solitary waves after collision do not change their shapes and amplitudes. The wave profile is symmetric before collision, and it becomes, after collision, unsymmetric and titled backward in the direction of wave propagation. The wave profile significantly reduces due to greater impacts of elastic plate and surface tension. A graphical comparison is presented with published results, and the graphical comparison between linear and nonlinear elastic plate models is also shown as a special case of our study. | M.M.Bhatti D.Q.Lu | 2018 | Theoretical & Applied Mechanics Letters2018，8，6： | 0 |
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