随机波对水平板冲击作用实验研究

波浪对透空式海上建筑物的冲击作用已经成为此类建筑物安全的重要影响因素。进行了单向随机波对水平板冲击作用水槽实验研究。总共进行了4个方向(0°、15°3、0°、45°),相对入射波波高H1/3/d=0.093 75~0.25,周期Tp=1.0~2.0 s,水平板距离静水面的高度s与入射波高H1/3的比值s/H1/3=0.0~0.5的实验研究。采用小波分析方法去除了由于测压传感器振荡引起的测量数据的振荡和漂移,在此基础上统计分析给出了不同方向水平板下的压力峰值分布情况。采用无因次方法,讨论了无因次冲击力与相对入射波高H1/3/d、相对板宽B/L、相对净空s/H1/3及波向角β的关系。     

Numerical study of nonlinear freak wave impact underneath a fixed horizontal deck in 2-D space

Freak waves are extreme and unexpected surface waves with huge wave heights that may lead to severe damage to ships and offshore structures. However, few researches have been conducted to investigate the impact underneath fixed horizontal decks caused by freak waves. To study these phenomena, a 2-D numerical wave tank is built in which nonlinear freak waves based on the Peregrine breather solution are generated. As a validation, a regular-wave-induced underneath impact is simulated and compared to the existing experimental measurements. Then the nonlinear freak-wave-induced impact is investigate with different values of deck clearance above the mean free surface. In addition, a comparative simulation of a “large” regular wave based on the 2nd-order Stokes wave theory with the same crest height and wave length of the nonlinear freak wave is carried out to reveal the unique features of the nonlinear freak-wave-induced impact. By applying a fluid–structure interaction (FSI) algorithm in which the bottom deck and front side wall are simplified as Euler beams in 2-D and discretized by the finite element method (FEM), the hydroelastic effects are considered during the impact event. The vertical force acting underneath the bottom deck, the transversal force acting on the front side wall, the structural displacements of the elastic deck and wall are analyzed and discussed respectively, from which meaningful conclusions are drawn.     

支撑刚度对水平板波浪冲击压力影响

上部结构位于浪溅区及由弹性桩腿支撑的海洋结构物,如海上栈桥和海洋平台等,在恶劣海况下会受到强烈的波浪冲击作用并产生振动响应。通过物理模型实验研究了波浪对三种不同支撑刚度的结构物冲击作用。分析了不同支撑刚度结构物底面冲击压力和冲击力的变化特性。讨论了支撑刚度对结构波浪冲击力的影响,给出了冲击压力和冲击力随相对净空(s/H)和相对板长(B/L)的变化规律。实验分析结果表明:水平板底面波浪冲击压力与冲击力均随弹性支撑刚度K的增大而增大;随相对净空(s/H)的增大先增大后减小;随相对板长(B/L)的增大而减小。     

立管-水平板结构消浪特性试验研究

在现有的矩形方箱和透空结构的基础上,提出一种由立管和水平板组合而成的消浪结构。利用波浪水槽物理模型试验,测试该结构在单向规则波作用下的消浪性能。分别探讨了其单排布置和双排布置时的透射系数随结构宽度、相对吃水深 度、相对间距等因素的变化规律。结果表明：单排布置时,透射系数随结构宽度的增大而减小,总体上随吃水深度的增大而减小;双排布置时,透射系数相对总宽度相同的单体结构减少 10 %,透射系数随吃水深度的增大而减小,前后间距对透射系数的影响不明显。对试验结果数据进行曲线拟合,得到了透射系数关于各影响因素的函数表达式。     

Inertial wave loads on horizontal cylinders: A field experiment

A long submerged horizontal circular cylinder of .90 m diameter was assembled off the beach at Reggio Calabria where the wind waves typically have significant height ranging within 0.20 and 0.40 m and dominant period within 1.8 and 2.6 s. Three ultrasonic probes recorded the waves, and two sets of pressure transducers, the first one at the cylinder and the second one in the undisturbed wave field, enabled to compare the force amplitude on the cylinder to the force amplitude on an equivalent mass of water in the undisturbed wave field (Froude-Krylov F-K force). After ten days of measurements, the experiment was repeated with a cylinder of .45 m diameter. The Keulegan-Carpenter number was within 2.5, and the wave forces proved to be inertial. The following general features emerged: (i) the force spectrum is usually very narrow even if the wave spectrum is broad; (ii) the vertical diffraction coefficient is somewhat smaller than the horizontal diffraction coefficient; (iii) the positive extremes of F_z (vertical force referred to the buoyancy force) markedly exceed the negative extremes; (iv) the pressure fluctuations induced by the highest waves at the cylinder are very similar to the measured pressure-surface displacement covariances. In each of the 580 records obtained in the course of the experiment it was found that the propagation speed reduces to about a half at the cylinder, and the amplitude of the pressure fluctuations increases of 10–15% at the upper half of the cylinder and decreases of about the same percentage at the lower half. These phenomena fully explain why the force amplitude on the cylinder is larger than the F-K force amplitude.     

具有精确色散性的非线性波浪水平二维数学模型

建立具有色散性的水平二维非线性波浪方程,方程的非线性近似到了三阶。方程以波面升高和自由表面速度势表达的微分-积分型数学方程,给出方程的数值求解方法和算例,对方程积分项的处理给出了计算方法。计算结果与Boussinesq方程模型和缓坡方程模型的对应计算结果进行了对比。     

开孔沉箱式结构内部波浪冲击压力试验研究

为研究在不同比尺模型下,透空式海洋结构中开孔沉箱内部受力与入射波浪的关系及差异,针对简化的上部开孔箱体海洋结构,选取两组不同尺寸模型进行了多组规则波物理模型试验。首先采用低通滤波方法分析了冲击力的不同组分,然后对比了两组模型内部所受冲击力的分布及波要素与箱体内部受力的关系。研究发现,波面对开口的淹没程度是影响冲击过程的主要因素;当模型尺寸发生变化时,开孔箱体内部所受波浪力与入射波要素的关系也发生了变化。     

Statistics of wave forces on large horizontal cylinders

To the first order in a Stokes expansion, the pressure force exerted by a sea state on a large horizontal cylinder represents a stationary random Gaussian process. A relationship is obtained between the spectrum of this process and the wave spectrum. As a consequence, the basic statistical properties of the height and period of the individual waves of the force-process are also obtained. It is proven that these statistical properties agree very well with the data from a small scale field experiment.     

Numerical study on the effect of submerged depth on the horizontal plate wave energy converter

The growing search for clean and renewable energy sources has given rise to the studies of exploring sea wave energy. This paper is concerned with the numerical evaluation of the main operational principle of a submerged plate employed for the conversion of wave energy into electrical one. The numerical model used to solve the conservation equations of mass, momentum and transport of volume fraction is based on the finite volume method （FVM）. In order to tackle with the flow of mixture of air-water and its interaction with the device, the multiphase model volume of fluid （VOF） is employed. The purpose of this study is the evaluation of a numerical model for improvement of the knowledge about the submerged plate wave energy converter, as well as the investigation of the effect of the distance from the plate to the bottom of the sea （HP） on the performance of the converter. The simulations for several distances of the plate from the seabed show that the optimal efficiency is 64%, which is obtained for HP=0.53 m （88% of the depth）. This efficiency is 17% larger than that found in the worst case （HP=0.46 m, 77% of the depth）.     

Experimental study of irregular wave impact on structures in the splash zone

The experimental investigation of irregular wave slamming on structure members with large dimension in the splash zone is presented. The time-domain and frequency-domain analyses results of the irregular wave impact pressure on the subface of the structure under various case studies are presented. The influence of different incident wave parameters and relative clearance s/H_1/3 on the impact pressure is discussed. The empirical formula of the characteristic impact pressure P_c, P_t and the spectral moment of the impact pressure m₀ on the structure are proposed. The empirical expression of the characteristic peak impact pressure P_c and the spectral moment of the impact pressure m₀ on the structure is given.     

Linearised water wave problems involving submerged horizontal plates

In this paper a number of related linearised water wave problems all involving thin submerged horizontal plates are considered. An integral transform approach is adopted and used to formulate integral equations in terms of unknown functions related to the jump in pressure across the plate. A Galerkin method is applied to the solution of these integral equations leading to elegant expressions for quantities of interest and a rapidly convergent numerical scheme. The focus of the paper is to demonstrate the application of this method in a number of settings including both two-dimensional problems applied to infinitely-long plates of constant width and three-dimensional problems involving circular discs. In the process we present new results including, for example, for wave-free forced oscillations of plates.     

浅浸没水平圆柱浮子波浪力计算研究

以海漂垃圾收集装置浮式围栏的圆柱浮子为研究对象,基于圆柱浮子的浅浸没特性,改进了Morison方程,并结合物理模型试验,对波浪与浅浸没水平圆柱浮子作用问题进行探讨。结果表明,改进的Morison方程可对水平圆柱浮子的波浪力做精确预测,并揭示了波幅、浸没深度以及周期对圆柱浮子波浪力的影响规律。对于浅浸没的圆柱浮子,所受水平波浪力随波高的增大而增大,随周期的增大而衰减到某一特定值。波浪力的正向大小分布要大于负向,而正负向大小的差异主要受浸没深度的影响。     

不规则波对浪溅区结构物冲击作用的试验研究——频域分析

对不规则波对浪溅区结构物的冲击作用实验结果进行了谱分析研究。给出了不同试验组次的结构物底面所受波浪冲击压力的谱分析结果，得到了结构物底面所受波浪冲击压力的谱矩m0沿结构物底面的分布规律，讨论了入射波波要素和结构物底面距静水面的相对高度s/H1/3对作用于结构物底面的冲击压力谱矩m0,avg的影响，给出了平均冲击压力谱矩m0,svg.与统计分析的压力特征值Pc的关系。     

Experiments on full-scale wave impact pressures

Measurements of full-scale wave impact pressures on seawalls have been made over a period of four years, up to and including the winter of 1980/1981, on seawalls in the South and West of England. This investigation is the first of its kind to be carried out in the U.K. using modern measuring and recording techniques and has produced significantly more wave impact pressure data than all previous full-scale investigations.Poor correlation was found between the semi-empirical equations at present used to estimate wave impact pressures and the prototype data obtained during this investigation. A rational expression for the estimation of wave impact pressures on coastal structures has thus been derived based on the local wave parameters at impact and includes a coefficient related to the percentage of air entrained in the incident wave.     

A study on kinematics characteristics of freak wave

Based on the 3rd-order Stokes wave theory, the speed of freak waves is formulated in terms of the period and the wave height. Finite modified wave steepness gives rise to a significant enhancement of the nonlinear contributions to the freak wave speed in comparison with the 3rd-order Stokes wave theory. For a fix modified wave steepness, the estimated amplification of the nonlinear contributions due to the deviation from the 3rd-order Stokes wave theory is 0.22～0.99. In addition, the velocity and acceleration fields are also documented in detail. In the present simulation, the horizontal velocities are smaller than the wave speed, and the freak wave exhibits a maximal horizontal velocity up to 37% of the wave speed and a maximal vertical acceleration up to about 20% of the gravitational acceleration.     

透空式水平板波浪上托力冲击压强试验研究

首先对以往波浪作用下透空式平板上托力研究进行了回顾,在此基础上,通过系列模型试验,对波浪上托力产生的机理进行了详细的分析和论述,认为透空式平板下波浪上托力主要由一个迅速上升的冲击压强和一个缓慢变化的压强构成,其中冲击压强通常远大于缓变压强,起主导作用,影响其大小的最直接因素为几何因素(即波浪冲击角)、动力因素(包括波高、波速等)和空气垫层因素,由此通过对各影响因素的分析,得到最大冲击压强计算公式,大量试验资料表明,该公式与实验值有着较好的一致性。     

A new approximate analytic solution for water wave scattering by a submerged horizontal porous disk

This study gives a new approximate analytic solution for water wave scattering by a submerged horizontal porous disk in the context of the linear potential theory. The solution is based on the domain decomposition method. The velocity potentials are determined by two different approaches. One approach is to adopt decompositions for velocity potentials, and the other is to expand the vertical derivative of the velocity potential on the porous disk along the radial direction. Hence the velocity potentials are determined by the matched eigenfunction expansions. Differing from previous solutions with respect to the porous disk, the present solution needs no complex dispersion relations. Thus the new solution is easier for numerical implementation. According to numerical examples, the convergence of the present solution is satisfactory. In addition, the present predictions of the wave surface elevation and the vertical wave force on the disk agree very well with previous results by different approaches. The present solution can also be extended to other structures involving disks, such as a fish cage, a porous disk with finite thickness, and a submerged elastic disk.     

Second-order vertical and horizontal wave forces on a circular dock

A second-order potential solution is presented for the diffraction of a nonlinear progressive wave in finite-depth water, incident on a fixed circular dock. The usual perturbation analysis is used to produce first- and second-order subproblems. The mathematical method is based on the assumption that inner and outer solutions exist and these are matched by the requirements of continuity for mass flux and pressure between adjacent regions. It is shown that the solutions for the second-order problem can be derived in the same manner as in the first-order theory.     

Second-order wave loading on a horizontal rectangular cylinder of substantial draught

Approximate first- and second-order analytical solutions of wave diffraction of a semi-submerged horizontal cylinder of rectangular cross-section are presented. The solutions are based on the assumption that the pressure in the fluid domain underneath the cylinder is linearly dependent on the horizontal space coordinate. Basically, this approach is valid when the clearance between the bottom of the cylinder and the sea bottom is small in comparison with the wave length and is recommended for a cylinder of substantial draught where due to the small clearance other methods are difficult to apply. Boundary conditions are satisfied by a choice of a proper form of the potential functions and by making use of the properties of matching conditions. Theoretical results reveal that the magnitude of the vertical second-order time-dependent loads could be significant and even exceed the corresponding first-order quantities. This phenomenon, which occurs even at moderate steepnesses, as well as the assumption of a linear pressure distribution, are confirmed by experiments performed in a wave tank.