Calculation of Wave Pressure and Pressure Spectrum for Perforate-Pipe Breakwater

Standing waves are formed due to the reflection when waves meet vertical wall,thereforestrong structures are needed to keep the wall stability under the serious wave attack.For the improvementof the working condition and increase of the stability of the wall,the lower reflecting breakwaters have at-tracted close attention Reports mostly from Japanese researchers are often concerned with the wall ofcaisson equipped with open windows.In this paper a kind of hollow-pipe perforated breakwater is exam-ined which waves may partially perforate into the harbour basin.The wave in front of the wall can onlyform partial standing wave and wave force is reduced obviously.And the theoretical calculation of waveforce and analysis of wave force spectrum are all derived.Comparison between the results from theoreticalcalculation and hydraulic modeling shows reasonable agreement.     

Wave Reflection Coefficient Spectrum

1 .IntroductionWavereflectionfromstructuresisanimportantfactorforthedesignofthestructures .Therehavebeenmanyresearchesonwavereflectionwithregularwavesandmonochromaticirregularwaves .Miche( 1 951 )proposedanon dimensionalMichenumberMfornormallyincidentirregularwavesconsideringwavebreakingbecauseofthedeepeningofwavesteepnessontheslopeofbreakwaters .ThereflectioncoefficientisproportionaltoM ,i.e .,Kr ∝M =4g( 2π) 5/ 2tan5/ 2 α(Hsf2p) ( 1 )wheregisthegravitationalacceleration ,Hsthesignifican…     

Model Study of Permeable Caisson Breakwater with Slanting Slabs

- This paper describes the design of a permeable caisson breakwater with slanting slabs (Types I and 11) and presents some preliminary experimental results, together with relevant figures and tables. Analysis is made of the reflection coefficient, transmission coefficient, acting wave pressures, water jetting at the crest of the breakwater, and wave overtopping. Experiments show conclusively that this type of breakwater has the advantages of light dead weight, good wave-absorbing performance, low coefficients of reflection and transmission, and small wave overtopping.     

Experimental Study of Perforated Caisson Breakwater

This paper describes the design of a perforated caisson breakwater and presents the results of model test. Tests with regular and irregular waves have demonstrated that the perforated caisson breakwater has the advantages of low reflection coefficient, good wave-absorbing performance, relatively small wave height in front of the breakwater, and small amount of overtopping. Analyses have been made of the coefficient of reflection, wave height in front of the breakwater, and wave overtopping. Relevant figures and tables are presented for reference.     

Theoretical Calculation of Floating Breakwater Performance

- In this paper, the theoretical calculation of floating breakwater performance in regular waves with arbitrary wave direction is discussed. Under the hypothesis of linearized system and applying the strip theory, we can solve the boundary condition problems of diffraction potential and radiation potential. Introducing the asymptotic expression of the wave velocity potential at infinity and using wave energy conservation, we can separately calculate the transmitted waves generated by the sway, heave and roll motion of the floating breakwater and by the fixed breakwater. Finally, we define the amplitude ratio of the transmitted wave to the incident wave as the transmitted wave coefficient CT which describes the floating breakwater effectiveness. Two examples are given and the theoretical results obtained by the present method agree well with experimental results.     

潜堤对波浪传播变形的物理模型试验研究

以不可渗透光滑潜堤为研究对象,基于波浪水槽试验,分析了规则波和不规则波通过淹没梯形潜堤时的波浪外部形态变化以及内部能量变化规律。探讨了不同波浪要素(周期、波高、淹没水深)对潜堤附近波高影响的变化规律。同时,探究了潜堤斜坡坡度、堤顶淹没水深对波浪频谱在频域分布的影响。研究结果表明:当波浪通过潜堤时,波浪主频能量衰减,波浪能量由低频向高频移动;潜堤斜坡坡度越大、堤顶水深越小,波浪主频能量衰减越剧烈;波浪通过潜堤后高频波能量占潜堤次生波能量的1%~30%。     

倾斜挡浪板式桩基透空型防波堤的消浪性能研究

本文提出了一种倾斜挡浪板式桩基透空型防波堤,通过物理模型试验对规则波作用下防波堤的消浪性能进行了研究。试验中观测了桩基透空型防波堤迎浪侧和背浪侧波面的变化过程,探讨了不同入射波浪条件下防波堤挡浪板的开孔率ε和布置形式B对其消浪性能的影响,分析了防波堤的反射系数K_r、透射系数K_t以及波能耗散系数K_d随着相对波高H/D和相对堤宽W/L的变化关系,并从波浪能量分布的角度分析此种防波堤的消浪机理。研究结果表明,单层挡浪板的开孔率自30%降低至10%,平均透射系数可减小约24.3%,平均耗散系数可增长约12.8%;双层挡浪板防波堤的反射系数取决于前排挡浪板的开孔率,透射系数取决于挡浪板组合中的最小开孔率。     

Experimental Researches on Reflective and Transmitting Performances of Quarter Circular Breakwater Under Regular and Irregular Waves

A series of regular and irregular wave experiments are conducted to study the reflective and transmitting performances of quarter circular breakwater (QCB) in comparison with those of semi-circular breakwater (SCB). Based on regular wave tests, the reflection and transmission characteristics of QCB are analyzed and a few influencing factors are investigated. Then, the wave energy dissipation as wave passing over the breakwater is discussed based on the hydraulic coefficients of QCB and SCB. In irregular wav...     

Scaled Boundary Finite Element Analysis of Wave Passing A Submerged Breakwater

The scaled boundary finite element method （SBFEM） is a novel semi-analytical technique combining the advantage of the finite element method （FEM） and the boundary element method （BEM） with its unique properties. In this paper, the SBFEM is used for computing wave passing submerged breakwaters, and the reflection coeffcient and transmission coefficient are given for the case of wave passing by a rectangular submerged breakwater, a rigid submerged barrier breakwater and a trapezium submerged breakwater in a constant water depth. The results are compared with the analytical solution and experimental results. Good agreement is obtained. Through comparison with the results using the dual boundary element method （DBEM）, it is found that the SBFEM can obtain higher accuracy with fewer elements. Many submerged breakwaters with different dimensions are computed by the SBFEM, and the changing character of the reflection coeffcient and the transmission coefficient are given in the current study.     

波浪反射系数谱的特征分析

应用斜向不规则波反射系数的改进两点法(MTPM),用模型试验研究了混凝土护面堤和块石护面堤波浪反射系数的频率谱和方向谱,结果表明,分析的反射系数随入射波频率的增加、结构坡度的减小和入射角的加大而减小.给出了波浪反射系数频率谱及其随Iribarren数变化的规律,提出了反射系数三维谱的经验公式,由此可定量地描述斜向不规则波的反射系数随无量纲特征参数Iribarren数和入射波角度的变化规律.     

Experimental Study of Wave Pressure on a Breakwater Pier

Test studies on the wave pressure on a breakwater pier show that the influence of transmissivewave pressure on the outside wall of the breakwater pier is considerable,when the width of the pier is notvery large.The variations of transmissive wave pressure on the breakwater pier with different widths arecompared and the relationship is obtained between relative transmitting distance b/L and wave pressurereduction factor K,which may be used in the design of similar breakwater piers.     

斜向波对直立式防波堤堤头作用的试验研究

直立式防波堤堤头在斜向波浪作用下波浪力的计算在现行的技术规范中尚属空白。通过物理模型试验给出了堤头结构设计所需的波压分布图，指出了波浪入射方向和地形对堤头所受波浪力的贡献有时可以超过波高和波周期，根据现行规范按波浪正向入射计算堤头所受的波浪力偏于安全。     

Interaction Between Waves and A Comb-Type Breakwater

The characteristics of wave transmission, reflection and energy dissipation of comb-type caisson breakwaters are studied through laboratory physical model tests. Regular and irregular waves, with a wide range of wave heights and periods and a constant water depth, are considered. Different dimensions of each portion of the comb-type caisson breakwater are tested. Empirical formulae for calculating the reduction coefficient k, which is the ratio of horizontal wave force on unit length of the comb-type breakwater to that on unit length of the vertical wall breakwater, and for calculating the reflection coefficient of waves k, are obtained from the measurements. The comb-type caisson breakwater has been found to be very efficient in dissipating incident wave energy and in reducing wave reflection, and has already been used for the construction of an island breakwater in the Dayao Bay of Dalian Port, Liaoning Province, China. Compared with the cost of a common caisson breakwater, about 24. 5% of the investm     

梳状防波堤上波浪反射

对梳状沉箱防波堤的波浪反射特征进行研究。在对梳状沉箱防波堤非线性消耗波能机理分析基础上,采用阻抗分析方法,导出一组所有参数都是事先知道的、完全封闭的波反射系数公式。     

Numerical Simulation on Hydraulic Performances of Quarter Circular Breakwater

Quarter circular breakwater （QCB） is a new-type breakwater developed from senti-circular breakwater （SCB）. The superstructure of QCB is composed of a quarter circular front wall, a horizontal base slab and a vertical rear wall. The width of QCB＇ s base slab is about half that of SCB, which makes QCB suitable to be used on relatively finn soil foundation. The numerical wave flume based on the Reynolds averaged Navier-Stokes equations for impressible viscosity fluid is adopted in this paper to simulate the hydraulic performances of QCB. Since the geometry of both breakwaters is similar and SCB has been studied in depth, the hydraulic performances of QCB are given in comparison with those of SCB.     

Long Wave Reflection and Transmission over A Sloping Step

This investigation examines long wave reflection and transmission induced by a sloping step. Bellman and Kalaba‘s (1959) invariant imbeddlng is introduced to find wave reflection. An alternative method matching both the surface elevation and its surface slope of each region at the junction is applied to the determination of wave reflection and transmission.The proposed methods are compared with the accurate numerical results of Porter and Porter (2000) and those of Mei (1983) for a vertical step. The wave reflection obtained for a mildly sloping step differs significantly from the result of Mei. The wave reflection is found to fluctuate owing to wave trapping for the ntild sloping step. The height and the face slope of the step are important for determining wave reflection and transmission coefficients.     

Numerical Simulation of Wave Interaction with Perforated Caisson Breakwaters

1 .ＩｎｔｒｏｄｕｃｔｉｏｎＴｒｅｍｅｎｄｏｕｓｄｅｖｅｌｏｐｍｅｎｔｏｆｉｎｔｅｒｎａｔｉｏｎａｌｔｒａｄｅａｎｄｓｅａｔｒａｎｓｐｏｒｔａｔｉｏｎｈａｓｔａｋｅｎｐｌａｃｅｓｉｎｃｅｔｈｅ1 980ｓ.Ｄｕｒｉｎｇｔｈｅｓａｍｅｐｅｒｉｏｄｏｆｔｉｍｅ ,ｈａｒｂｏｒｔｒａｎｓｐｏｒｔａｔｉｏｎｉｎｃｒｅａｓｅｄｍａｒｋｅｄｌｙ ,ｒｅｓｕｌｔｉｎｇｉｎｔｈｅｄｅ ｔｅｒｉｏｒａｔｉｏｎｏｆｗａｖｅｃｏｎｄｉｔｉｏｎｓｉｎｈａｒｂｏｒｓ .Ｒｅｄｕｃｉｎｇｗａｖｅｄａｍａｇｅｔｏｐｏｒｔａｎｄｍａｒｉｎｅ…     

斜坡堤胸墙波压力的试验与分析

通过断面物理模型试验,获得了斜坡堤堤顶胸墙在肩宽B不同工况组合下,承受水平波浪力、底部浮托力的大量数据。对这些数据进行了分析,得出了斜坡堤堤顶胸墙波压力随肩宽B的变化规律。     

圆形沉箱防波堤波压力的试验分析

通过断面物理模型试验,获得了圆形沉箱结构直立堤在各种工况组合下,承受水平波压力、底部浮托力的大量数据信息。对这些数据进行了分析总结,得出了有关圆形沉箱直立堤波浪力的分布规律。     

多向随机波浪反射的试验研究

试验研究了多向随机波浪在直立式防波堤和斜坡式防波堤前的反射情况。在试验中，改变波浪要素(波陡、周期)、波浪入射角度(正向、斜向)和方向分布以及防波堤的坡度，以充分研究这些因素对波浪反射的影响。遗传算法用来分析多向随机波从建筑物的反射。试验结果表明，直立堤的反射系数基本上不随入射波浪方向变化，斜坡堤的反射系数随波浪峰频的增大和堤坡的变缓而减小，且随波浪方向有一定变化。还探讨了多向随机波浪在斜坡式防波堤上的反射面位置问题。