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| 1 | 二维移动载荷引起漂浮板的非定常水弹性波阻和波形研究显示文摘该文解析研究了漂浮在无限深无黏流体的无限长弹性板受二维移动载荷作用下变形以及载荷所受阻力。移动载荷分匀速运动和突然启动两种形式;使用Fourier积分变换法,得到积分形式解;对匀速运动的情况,采用留数定理得到波阻和波形的稳态解。结果发现:当载荷移动速度小于最小相速度时,无挠曲重力波波阻产生,稳态波形与静载下板的挠度分布相似;载荷速度大于最小相速度时,波阻存在并随移动速度的增加而呈现先增后减的趋势,挠曲波和重力波分别存在于前导区和后尾区。对于突然启动载荷的情况,水弹性响应包括稳态和瞬态两部分。使用驻相法得到瞬态波阻和波形渐近解。结果显示,瞬态动力特性依赖于载荷速度和最小群速度的关系,波阻和波形均随时间的增长而衰减,系统达到稳态。 | 张辉 卢东强 | 2013 | 水动力学研究与进展(A辑)2013，28，5： | 1 |
| 2 | Flexural-gravity wave resistances due to a moving point source on 2-D infinite floating beam显示文摘The flexural-gravity wave responses due to a load steadily moving or suddenly accelerated along a rectilinear orbit are analytically studied within the framework of the linear potential theory. A thin viscoelastic plate model is used for a very large floating structure. The initially quiescent fluid in the ocean is assumed to be homogenous, incompressible, and inviscid, and the disturbed motion be irrotational. A moving line source on the plate surface is considered as a moving point in the two-dimensional coordinates. Under the assumptions of small-amplitude wave motion and small plate deflection, a linear fluid-plate coupling model is established. The integral solutions for the surface deflections and the wave resistances are analytically obtained by the Fourier transform method. To study the dynamic characteristics of the flexural-gravity wave response, the asymptotic representations of the wave resistances are derived by the residue theorem and the methods of stationary phase. It shows that the steady wave resistance is zero when the speed of moving load is less than the minimal phase speed. The wave resistances due to the accelerate motion consist of two parts, namely the steady and transient wave responses. Eventually the transient wave resistance declines toward zero and the wave resistance approaches the steady component as the time goes to the infinity. Furthermore, the effect of the strain relaxation time for this viscoelastic plate is studied and it exhibits more influence for a high-speed motion. | 李继锁 卢东强 | 2017 | Journal of Hydrodynamics2017，29，6： | 1 |
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