An Improved Time Domain Approach for Analysis of Floating Bridges Based on Dynamic Finite Element Method and State-Space Model

The floating bridge bears the dead weight and live load with buoyancy, and has wide application prospect in deep-water transportation infrastructure. The structural analysis of floating bridge is challenging due to the complicated fluid-solid coupling effects of wind and wave. In this research, a novel time domain approach combining dynamic finite element method and state-space model (SSM) is established for the refined analysis of floating bridges. The dynamic coupled effects induced by wave excitation load, radiation load and buffeting load are carefully simulated. High-precision fitted SSMs for pontoons are established to enhance the calculation efficiency of hydrodynamic radiation forces in time domain. The dispersion relation is also introduced in the analysis model to appropriately consider the phase differences of wave loads on pontoons. The proposed approach is then employed to simulate the dynamic responses of a scaled floating bridge model which has been tested under real wind and wave loads in laboratory. The numerical results are found to agree well with the test data regarding the structural responses of floating bridge under the considered environmental conditions. The proposed time domain approach is considered to be accurate and effective in simulating the structural behaviors of floating bridge under typical environmental conditions.

     

Force resultants for deep-water wave-excited offshore structures

Concepts are developed which lead to an improved understanding of the characteristics of the wave forces that act on deep-water, jacket-type offshore structures. These concepts are the result of comprehensive examinations of both the inertia and the drag force components of the wave excitation. It is shown that, under conditions which are of practical importance, the resultants of the inertia and drag force components can both be expressed in terms of the motion of the sea surface. Fundamental modal forces which govern fundamental modal responses for offshore structures are also examined, and the relationships between these modal forces and the resultants of the inertia and drag force components are established. The structural response itself is further examined, and valuable information is developed which is believed to be of practical importance.     

Hydrodynamic Coefficients and Wave Excitation Forces for A Ship near A Quay

In this paper,the effects of a quay or a solid jetty on hydrodynamic coefficients and vertical wave excitation forces on a ship woth or without forward speed are discussed.A modified simple Green function technique is used to calculate the 2D coefficients while the strip theory is used to calculate the 3D coefficients. Wave excitation forces are also calculated with the strip theory. Numerical results are provided for hydrodynamic coefficients and vertical wave excitation forces on a 200000 DWT tanker ship. It is found that the quay has a considerable effect on the hydrodynamic coefficients and wave excitation forces for a ship.     

Vibrating-Sliding Motion of Caisson Breakwaters Under Various Breaking Wave Impact Forces

Sliding is one of the principal failure types of caisson breakwaters and is an essential content of stability examination in caisson breakwater design. Herein, the mass-spring-dashpot model of caisson-base system is used to simulate the vi-brating-sliding motion of the caisson under various types of breaking wave impact forces, i.e., single peak impact force, double peak impact force, and shock-damping oscillation impact force. The effects of various breaking wave impacts and the sliding motion on the dynamic response behaviors of caisson breakwaters are investigated and the calculation of relevant system parameters is discussed. It is shown that the dynamic responses of the caisson are significantly different under different types of breaking wave impact forces even when the amplitudes of impact forces are equal. The amplitude of dynamic response of the caisson is lower under single peak impact excitation than that under double peak impact or shock-damping oscillation impact excitation. Though the disp     

基于海浪谱的沉箱式防波堤动力分析方法

利用海浪谱JONSWAP谱生成随机波浪,并结合改进的波浪力时程模型生成一个连续的、持续时间相对较长的随机波浪力作用过程。假设五十年设计基准期内防波堤每年遭受一次风暴,利用波浪谱随机生成五十次风暴波浪作用过程,对防波堤五十年设计基准期的响应过程进行一次随机模拟,以此作为一个样本。经过对大量随机模拟产生的样本进行统计分析,实现对防波堤整个设计基准期内的安全度进行概率评估。最后,通过算例对该方法的应用进行了演示。     

Vibration mitigation of structures in the marine environment

The research described in this paper involves a method to mitigate the vibration of an offshore structural system in the marine environment when subjected to the in-plane wave forces. The method introduced include a practical application for the viscoelastic material to the offshore structural system, and the analytical technique to evaluate the structural responses when the system is incorporated with damping devices. The viscoelastic materials applied here were tested and verified that they have high energy absorption capacity. In the analysis, the applied wave forces are based on the fifth-order Stokes wave theory and Morrison equation for small body and the computation method is based on Newmark method for nonlinear system. Results of the vibration responses for the system with added damping devices are presented and compared to the responses of structures of the traditional design. It was observed that the effect of the vibration mitigation was significant and the dynamic performance of the offshore structural system were greatly improved when the new damping devices were applied.     

On the radiation and diffraction of water waves by a rectangular structure with a sidewall

A radiation and diffraction boundary value problem is investigated. It arises from the interaction of linear water waves with a freely floating rectangular structure in a semi-infinite fluid domain of finite water depth with the leeward boundary being a vertical wall. Analytical expressions for the radiated potentials and the diffracted potential are obtained by use of the method of separation of variables and the eigenfunction expansion method. The added masses and damping coefficients for the structure heaving, swaying and rolling in calm water are obtained by use of the corresponding radiated potentials and the wave excitation forces are calculated by use of the diffracted potential. To verify the correctness of the method, a boundary element method is used. A comparison of the analytical results with those obtained by the boundary element method is made and good agreement is achieved, which shows that the analytical expressions for the radiated and diffracted potentials are correct. By use of the present analytical solution, the added mass, damping coefficients, wave excitation force, together with the hydrodynamic effects of the draft, width of the structure and the clearance between the structure and the sidewall are also investigated.     

不规则波激励下磁力双稳态波浪能转换装置的能量捕获特性研究

该研究提出了一种新型磁力双稳态机构,主要由一对同向充磁的负刚度磁环,附加一对异向充磁的正刚度磁环组成,可通过调整磁环参数有效改变双稳态装置的势垒高度,从而克服传统型双稳态装置在小幅波浪激励下转换效率低的难题。基于Cummins方程建立了系统的时域非线性动力学模型,其中采用状态空间模型替代了辐射力的卷积积分项用于加快计算速度。采用四阶龙格库塔方法求解动力学方程,获得系统响应解。采用Jonswap波浪谱,研究了不规则波激励下波浪能转换装置的转换效率随双稳态结构参数以及波浪激励参数的变化规律。结果表明,新型磁力双稳态机构在合适参数下可以达到降低势垒高度和拓宽平衡点间距的效果,从而显著提高波能捕获效率,拓宽波能捕获频带,尤其是大幅提高了系统在小波高激励下的捕获宽度。     

Laser doppler anemometer measurements of irregular water wave kinematics

The location of offshore structures for the purpose of recovering deep water resources has provided the impetus to more accurately predict forces acting on the structure so that costs can be minimized while the structure can safely withstand environmental forces. Accurate prediction of wave kinematics is a vital step in the more accurate prediction of environmental forces. In this study, a laser Doppler anemometer is used to measure the horizontal velocity under the largest wave occurring in an irregular sea generated in a laboratory wave tank. Specifically, JONSWAP and Pierson-Moskowitz wave spectra were generated in the wave tank and the horizontal velocity was measured at locations both above and below the still water level beneath the wave crest. The laboratory measured velocity values tend to lie between those predicted by linear extrapolation and Wheeler stretching. The results are not consistently predicted by either of the stretching methods, and therefore, it is not known which method will give a more accurate prediction before the data are measured.     

PSME model of parametric excitation of two-layer liquid in a tank

Internal waves driven by external excitation constitute important phenomena that are often encountered in environmental fluid mechanics. In this study, a pseudospectral σ-transformation model is used to simulate parametric excitation of stratified liquid in a two-layer rectangular tank. The σ-transformation maps the physical domain including the liquid free surface, the interface between the liquid layers, and the bed, onto a pair of fixed rectangular computational domains corresponding to the two layers. The governing equation and boundary conditions are discretised using Chebyshev collocation formulae. The numerical model is verified for two analytical sloshing problems: horizontal excitation of constant density liquid in a rectangular tank, and vertical excitation of stratified liquid in a rectangular tank. A detailed analysis is provided of liquid motions in a shallow water tank due to excitations in the horizontal and the vertical directions. Also, the effect of pycnocline on the wave motions and patterns is studied. It is found that wave regimes and patterns are considerably influenced by the pycnocline, especially when the excitation frequency is large. The present study demonstrates that a pseudospectral σ-transformation is capable to model non-linear sloshing waves in a two-layer rectangular tank.     

在平台振荡条件下TLP张力腿的涡激非线性响应

给出了预测张力腿涡激横向振动的时域分析,考虑了波浪、海流、张力腿平台的横漂与垂荡诸因素.张力腿平台的垂荡引起张力周期性变化,对张力腿的涡激横向振动起参数激励的作用,使其动力响应更为复杂.讨论了参数激励下涡激响应的共振条件;以尾流振子模型为基础,发展了分析张力腿在动张力作用下的涡激振动的工程方法,并分析了一座TLP实例,给出了在横漂周期内张力腿上质点的相对位移、弯矩、剪力幅值的时间历程.结果表明,平台垂荡使张力腿的涡激响应幅值升高、高频成分增加,因此它对张力腿的疲劳设计是重要的.     

移动式海上基地多模块间相互作用对连接器载荷的影响

移动式海上基地(MOB)一般由多个模块构成,模块间的相互作用对连接器载荷可能有影响,但在许多现有文献中通常被忽略。计算了考虑模块间相互作用的5模块MOB的模块运动和连接器载荷响应,并与不考虑模块间相互作用的结果进行了比较。结果表明模块间相互作用对不同连接器刚度的MOB连接器载荷的影响不同,在浪向角较小尤其在迎浪时十分明显且不可忽略;当浪向角较大尤其是横浪时,模块间相互作用力较小。     

Effects of Free Heave Motion on Wave Forces on Two Side-by-Side Boxes in Close Proximity Under Wave Actions

Wave forces on two side-by-side boxes in close proximity under wave actions were analyzed using the OpenFOAM package. The upstream box heaved freely under wave actions, whereas the downstream box remained fixed. For comparison, a configuration in which both boxes were fixed was also considered. The effects of the heave motion of the upstream box on the wave loads, including the horizontal wave forces, vertical wave forces, and moments on the boxes, were the focus of this study. Numerical analyses showed that all frequencies at which the maximum horizontal wave forces, maximum vertical wave forces, and maximum moment appeared are dependent on the heave motion of the upstream box and that the effects of the heave motion on these frequencies are different. Furthermore,these frequencies were observed to deviate from the corresponding fluid resonant frequency. Moreover, the heave motion of the upstream box reduced the wave forces acting on both boxes and altered the variation trends of the wave forces with the incident wave frequency.     

Evaluation of bending moments and shear forces at unit connections of very large floating structures using hydroelastic and rigid body analyses

This paper investigates the characteristics of bending moments, shear forces and stresses at unit connections of very large floating structures (VLFS) under wave loads. The responses of VLFS are calculated by solving multi-body motion equation considering hydroelasticity and connection stiffness. Hydroelastic responses are calculated by the direct method. Higher-order boundary element method (HOBEM) is used for fluid analysis and finite element method (FEM) is introduced for structural analysis. The equation of motion is modified to describe the unit connections by employing spring elements. Bending moments and shear forces at the connections are obtained from the dynamic equilibrium condition for pressures and inertia forces. Two types of VLFS units such as tandem arranged units and side-by-side arranged units are considered in the numerical examples. The influences of connection stiffness, wave frequency and heading angle on responses of VLFS are investigated through the numerical examples. Rigid body analysis along with hydroelastic analysis is also carried out in the numerical analysis and comparison of those two approaches is discussed.     

Wind and wave induced behaviour of offshore guyed tower platforms

Offshore guyed tower platforms belong to the group of compliant offshore platforms which are most suited for deep water exploration. The basic feature of compliant offshore platforms is that they are designed to move with the waves, in at least some degrees-of-freedom. As far as excitation of wave frequencies is concerned, the system opposes wave forces by inertial effects. The offshore guyed tower derives its stability against lateral movement from its mooring system.In this study, the response of offshore guyed towers to random forces generated by wind and wave is investigated. The exposed portion of the tower is subjected to the action of turbulent wind, while the submerged portion is acted upon by random wave forces. The analysis includes the nonlinearities due to the Morison equation of drag force, the variable submergence effect due to waves, the instantaneous position of the tower and force excursion relation of the mooring lines. A parametric study is conducted to investigate the behaviour of the tower under waves, and the combined effect of wind and wave forces.     

Calculation of slowly varying drift forces

A new method for approximating time dependent drift forces in irregular, long or short crested sea is presented. The approximation is based on the assumption that the wave energy spectrum is narrow-banded. The drift forces may be computed from the spectrum or directly from a time record of waves by using Hilbert transforms. Numerical calculations are made for drift forces and corresponding motions of a floating box, and the method is compared to a commonly used method due to Newman. The two methods are found to agree very well.     

Dynamic Response Analysis for Embedded Large-Cylinder Breakwaters Under Wave Excitation

1 .IntroductionThestaticmethodsarecommonlyusedinthestabilityanalysisofembeddedlarge cylinderbreak waters .Thestaticanalysismodelscanbedividedintotwocategories :simplifiedmodels (Zhouetal.,1 995;WangandZhu ,2 0 0 2 )andfiniteelementmodels (MengandWang ,1 999) .Thesimplifiedmodelsinheritthetraditionalengineeringexperiencesandareconvenienttouseinengineeringprac tice.However,itisdifficultforthesimplifiedmodelstodepictthegeometricandphysicalpropertiesofastructure soilsystemprecisely .Thefiniteel…     

Stochastic analysis for offshore structures with added mechanical dampers

Presented in this paper is a method to mitigate the vibration of an offshore structural system in the marine environment when subjected to in-line random wave forces. A stochastic approach by using an alternative complex analytical model for the viscoelastic material in the mechanical damper was used. The viscoelastic materials applied here were tested and verified that they have high energy absorption capacity. In the stochastic analysis, a random type of wave forces derived from the Morison equation for small bodies was applied. Results of the vibration responses for the system with added damping devices were presented and compared to the responses of structures with traditional design. It was observed that in terms of the power spectral density, the effect of the vibration mitigation and the dynamic performance of the offshore structural system were greatly improved when the new damping devices were applied to the offshore structural system.     

Diffraction of oblique waves by thick rectangular barriers

A complete analytical solution is presented for the linear diffraction of oblique waves by horizontal rectangular cylinders either fixed at the free surface or mounted on the sea bed in a finite-depth of water. Helmholtz equation is employed as the governing differential equation obtained by reducing the 3-D oblique wave scattering problem to a 2-D case. According to the method proposed, the fluid region is divided into three sub-regions in which the governing differential equation is solved by the separation of variables. The solutions for each region are then matched on the common boundaries of sub-regions to determine the unknowns of the eigen series expansions and Fourier series. Thus transmitted and reflected waves are obtained in the far-field, and forces and moments acting on the rectangular cylinder fixed at the free surface are also given. Comparisons are made in order to check the accuracy of the method.     

Comparison of wave load effects on a TLP wind turbine by using computational fluid dynamics and potential flow theory approaches

Tension Leg Platform (TLP) is one of the concepts which shows promising results during initial studies to carry floating wind turbines. One of the concerns regarding tension leg platform wind turbines (TLPWTs) is the high natural frequencies of the structure that may be excited by nonlinear waves loads. Since Computational Fluid Dynamics (CFD) models are capable of capturing nonlinear wave loads, they can lead to better insight about this concern. In the current study, a CFD model based on immersed boundary method, in combination with a two-body structural model of TLPWT is developed to study wave induced responses of TLPWT in deep water. The results are compared with the results of a potential flow theory-finite element software, SIMO-RIFLEX (SR). First, the CFD based model is described and the potential flow theory based model is briefly introduced. Then, a grid sensitivity study is performed and free decay tests are simulated to determine the natural frequencies of different motion modes of the TLPWT. The responses of the TLPWT to regular waves are studied, and the effects of wave height are investigated. For the studied wave heights which vary from small to medium amplitude (wave height over wavelength less than 0.071), the results predicted by the CFD based model are generally in good agreement with the potential flow theory based model. The only considerable difference is the TLPWT mean surge motion which is predicted higher by the CFD model, possibly because of considering the nonlinear effects of the waves loads and applying these loads at the TLPWT instantaneous position in the CFD model. This difference does not considerably affect the important TLPWT design driving parameters such as tendons forces and tower base moment, since it only affects the mean dynamic position of TLPWT. In the current study, the incoming wave frequency is set such that third-harmonic wave frequency coincides with the first tower bending mode frequency. However, for the studied wave conditions a significant excitation of tower natural frequency is not observed. The high stiffness of tendons which results in linear pitch motion of TLPWT hull (less than 0.02 degrees) and tower (less than 0.25 degrees) can explain the limited excitement of the tower first bending mode. The good agreement between CFD and potential flow theory based results for small and medium amplitude waves gives confidence to the proposed CFD based model to be further used for hydrodynamic analysis of floating wind turbines in extreme ocean conditions.