考虑弹性变形铰接塔平台非线性动力响应

研究计入弹性变形铰接塔平台在深水中的非线性动力响应。将铰接塔平台简化为顶部具有集中质量,底部具有扭转线性弹簧约束的均匀弹性梁,考虑波浪对平台的作用,应用莫里森(Morison)公式计算铰接塔平台瞬时位置所受水动力,建立了铰接塔平台横向运动的偏微分方程,采用伽辽金方法计算波浪作用下铰接塔平台非线性动力响应。计算了铰接塔平台的固有频率和模态,得到了铰接塔平台不同频率波浪激励下各阶模态的动力响应。计算结果表明,在波浪激励下系统二阶模态将发生2、34、倍超谐共振运动,并且揭示了弹性铰接塔平台在波浪作用下振动的不对称性。     

The bilinear oscillator: The response of an articulated mooring tower driven by irregular seas

A large oil tanker moored to an articulated mooring tower can be modelled as a bilinear oscillator, that is, a linear oscillator with different stiffnesses for positive and negative deflections due to the slackening of mooring lines. The response of the bilinear oscillator driven by irregular seas was studied using the qualitative concepts of dynamical systems. A normalized form of the semi-empirical Pierson-Moskowitz spectrum was used to describe the irregular forcing and features typical of nonlinear differential equations were found. Subharmonic resonances, multiple solutions dependent on the initial conditions as well as possible chaotic solutions were calculated. For irregular seas it was also found that large deflections of the tower may be generated when the peak frequency of the Pierson-Moskowitz spectrum is less than the bilinear frequency of the oscillator.     

The response of bucket foundation under horizontal dynamic loading

The experimental investigation of the response of suction bucket foundation in fine sand layer under horizontal dynamic loading has been carried out. The developments of settlement and excess pore pressure of sand foundation have been mainly studied. It is shown that the sand surrounding the bucket softens or even liquefies at the first stage if the loading amplitude is over a critical value, at later stage, the bucket settles and the sand layer consolidates gradually. With the solidification of the liquefied sand layer and the settlement of the bucket, the movement of the sand layer and the bucket reach a stable state.     

Dynamic response of a tanker moored to an articulated loading platform

An analytical model was developed for the dynamic analysis of an articulated loading platform in an operation condition, while remaining in a head seas position. The environmental excitation considered, resulting from groups of regular waves, included first- and second-order force contributions. The nylon hawser connecting the tanker to the ALP was modeled as a nonlinear spring. The hydrodynamic load on the tower was evaluated using Morison's equation, which was modified to account for the relative motion of the tower and the fluid particles. The hydrodynamic load on the tanker was calculated using linear diffraction theory based on the 2-D Helmholtz equation. The “near field” approach of Pinkster was used to evaluate the drift force.     

Sea state estimation using vessel response in dynamic positioning

This paper presents a novel method for estimating the sea state parameters based on the heave, roll and pitch response of a vessel conducting station keeping automatically by a dynamic positioning (DP) system, i.e., without forward speed. The proposed algorithm finds the wave spectrum estimate from the response measurements by iteratively solving a set of linear equations, and it is computationally efficient. The main vessel parameters are required as input. Apart from this the method is signal-based, with no assumptions on the wave spectrum shape. Performance of the proposed algorithm is demonstrated on full-scale experimental DP data of a vessel in three different sea states at head, bow quartering, beam, stern quartering and following sea waves, respectively.     

Numerical simulation of the nonlinear wave-induced dynamic response of anisotropic poro-elastoplastic seabed

Abstract

In this paper, a 2D poro-elastoplastic model for wave-induced dynamic response in an anisotropic seabed is derived analytically. The seabed is treated as a porous medium and characterized by Biot’s consolidation equations. The soil plasticity and wave non-linearity are included in the model and both the pore fluid and the soil skeleton are assumed to be compressible. The nonlinear ocean waves are respectively considered as progressive and standing waves. The previous experimental data is used to validate the proposed model. Numerical results demonstrate that the influence of nonlinear wave components should not be ignored without committing substantial error. A significant difference between progressive and standing waves is also observed for the development of residual pore pressure, as well as the distribution of liquefied zone. A detailed parametric investigation reveals that the nonlinear wave-induced seabed response is also affected significantly by cross-anisotropic soil parameters.     

Penetration depth of the dynamic response of seabed induced by internal solitary waves

We use flume experiments and numerical modeling to examine the penetration depth of internal solitary waves (ISWs) on partially saturated porous sandy silt and clayey silt seabed. The results of the experiment and model showed that the instantaneous excess pore water pressure in both the sandy silt and clayey silt seabed followed the same trend of decreasing with the seabed depth. In general, the excess pore water pressure generated by the sandy silt was bigger than that by clayey silt at the same depth. The ISW-induced excess pore water pressure greatly influenced the surface seabed and showed a linear relationship. The penetration depth was approximately one order of magnitude smaller than the half-wavelength of the ISWs, which might be larger than the penetration depth induced by surface waves. Our study results are helpful for understanding the damage that ISWs inflict upon the seabed and for informing future field experiments designed to directly measure the interaction between ISWs and seabed sediments.     

Numerical simulation of dynamic response around shield tunnel in the soft soil area

When a subway train moves through a tunnel, vibrations are generated and transmitted to soils around the tunnel and adjacent structures. Subway train operation has an impact on the shield tunnel lining and the soils around tunnel, especially soft soils that are mostly marine sediments having poor engineering properties. An elastoplastic dynamic finite difference model was built by considering the hysteretic behavior of these marine soft soils and the interaction between the soils and the tunnel to study their dynamic response. Elastic and plastic constitutive models were adopted for tunnel lining and soft soils, respectively. Hysteretic damping was obtained with the Hardin–Drnevich model to reflect the hysteretic behavior of soil under the dynamic load. There are two peaks of the cumulative vertical displacement within 2?s of train moving and it reaches a dynamic balance after 2?s. The soil layers below the shield tunnel are under the compression and the soil layers above the tunnel are in the extrusion state, and turn to uplift. Maximum bending moment and shear forces of lining vary and appear at different places. A parametric study indicates that the speed of train and the interface have an impact on the dynamic behavior of soft soils.     

Simple swept-sine analyzer for excitation and measurement of dynamic response in ocean structures

We present the design of a simple, low cost swept-sine analyzer. Based on direct digital synthesis, the analyzer can generate high purity tones with a linear resolution of 0.000931 Hz up to 1 MHz. Details of the circuit are discussed, and the performance of the system is demonstrated by a simple application to the dynamical characterization of cracked cantilever beams. It is felt that the device may find application in the design, construction and monitoring of structural systems such as offshore platforms and other marine structures.     

Hybrid frequency–time domain models for dynamic response analysis of marine structures

Time-domain models of marine structures based on frequency domain data are usually built upon the Cummins equation. This type of model is a vector integro-differential equation which involves convolution terms. These convolution terms are not convenient for analysis and design of motion control systems. In addition, these models are not efficient with respect to simulation time, and ease of implementation in standard simulation packages. For these reasons, different methods have been proposed in the literature as approximate alternative representations of the convolutions. Because the convolution is a linear operation, different approaches can be followed to obtain an approximately equivalent linear system in the form of either transfer function or state-space models. This process involves the use of system identification, and several options are available depending on how the identification problem is posed. This raises the question whether one method is better than the others. This paper therefore has three objectives. The first objective is to revisit some of the methods for replacing the convolutions, which have been reported in different areas of analysis of marine systems: hydrodynamics, wave energy conversion, and motion control systems. The second objective is to compare the different methods in terms of complexity and performance. For this purpose, a model for the response in the vertical plane of a modern containership is considered. The third objective is to describe the implementation of the resulting model in the standard simulation environment Matlab/Simulink.     

The morphological response of a nearshore double sandbar system to constant wave forcing

Results of 2DH morphodynamic computations are presented to quantify the temporal evolution of the crescentic patterns emerging in a double nearshore bar system in response to constant wave boundary forcing. Sixteen different conditions varying both offshore wave height and angle of wave incidence were applied. The mean length scales of the emerging irregular crescentic patterns are linearly proportional to the local longshore velocity over the inner and outer bars. For similar longshore velocities, the length scales of the outer bar are larger than of the inner bar. This is explained by accounting for the difference in water depth above the bar crest. The variable morphological response times can be explained by including additional bathymetrical parameters. The active volume of the bar, defined by the breaker index, plays an important role in this response time. With larger active volumes the bar responds more rapidly to identical boundary conditions. Also, bars with a smaller total volume respond more quickly. This faster response is due to the steeper active volume of the bars. Different initial perturbations resulted in different locations of the emerging features, showing that their location is sensitive to the initial bathymetry. However, the range in length scales and response times due to the different perturbations was significantly smaller than those obtained for the different hydrodynamic conditions. Based on the present findings we hypothesize that morphological length scales in the field are rarely in equilibrium with the concurrent offshore wave height and angle of incidence owing to the slow response of the sandbars under constant conditions relative to the stochastic nature of natural wave forcing.     

The prediction of the dynamic and structural motions of a floating-pier system in waves

In this study, a two-dimensional floating pier consists of single rectangular impermeable pontoon with side supporting pile-columns is studied. The purpose of this study is to present a theoretical solution for the linearized problem of incident waves exerting on a floating pier with pile-restrained. All boundary conditions are linearized in the problem, which is incorporated into a scattering problem and radiation problem with unit displacement. The method of separation of variables is used to solve for velocity potentials. For the radiation problem with unit heave and pitch amplitude, the boundary value problem with non-homogeneous boundary condition beneath the structure is solved by using a solution scheme. By calculating the wave force from velocity potential and solving the equation of motion of the floating structure simultaneously a close form theoretical solution for the problem is developed. The finite element method was also applied to calculate the dynamic responses on the supporting piles subjected to the pontoon motions and incident waves.     

The experimental verification of a towed body and cable dynamic response theory

Measurements of towed body motion in a laboratory towing tank have validated the mathematical model used as a basis for predicting body and cable dynamic behaviour under seagoing conditions.     

The dynamic response of the two-electrode conductivity cell

The dynamic response of the two-electrode conductivity cell in the dual-needle configuration of M.C. Gregg et al. (1981) was investigated both theoretically and experimentally. A theory is presented which answers fundamental questions regarding the effective cell volume and the mathematical form of the transfer function. These characteristics are shown to be functionally dependent on the spacing between the wires. Experimental determinations of cell response were performed with a thermal plume as the stimulus rather than with the step-response-in-salinity method of Gregg et al. The data are shown to confirm the theoretical form of the transfer function.<>     

波浪作用下铰接式层合浮体的水弹性响应研究

在工程设计中,通常采用模块化方式制造超大型浮式结构物,将巨大的单体结构分割成多个较小模块,后期通过合适的连接器拼装形成。为了明确多模块超大浮体在波浪作用下的水弹性响应,以两个相邻层合浮体（高刚度面板和低密度芯材）为研究对象,建立波浪作用下铰接层合浮体水弹性响应的高阶势流模型。采用匹配特征函数展开法求解流体运动的速度势,探讨了铰接处弹簧刚度对浮体的反射系数、透射系数、挠度、弯矩和剪力的影响规律。研究结果表明：迎浪侧浮体的存在可以有效降低背浪侧浮体的挠度、弯矩和剪力幅值;与垂直弹簧相比,扭转弹簧刚度的增加可以更加有效抑制铰接层合浮体的水弹性响应;当扭转弹簧刚度大于一定值时,继续增大弹簧刚度对浮体的动力响应不产生影响。     

On dynamic coupling effects between a spar and its mooring lines

The responses of a spar constrained by slack mooring lines to steep ocean waves and tensions in the mooring lines are simulated using two different numerical schemes: a quasi-static approach (SMACOS) and a coupled dynamic approach (COUPLE). The two approaches are the same in computing wave loads on the structure. Their difference is in modeling dynamic forces of mooring lines; that is the dynamic forces are included in the computation of COUPLE but neglected in SMACOS. The numerical simulation is examined against the laboratory measurements of the JIP Spar in a water depth of 318 m. The dynamic coupling effects between the JIP Spar and its mooring lines in different water depths (318, 618 and 1018 m) are investigated by the comparison of numerical simulations obtained using the quasi-static and coupled dynamic approaches. It is found that the damping of mooring lines reduces the slow-drift surge and pitch of the Spar, especially in deep water. The reduction in the amplitude of slow-drift surge can reach about 10% in a water depth of 1018 m. The tension in mooring lines may greatly increase in the wave frequency range when dynamic forces in mooring lines are considered. The mooring-line tension in the wave frequency range predicted by the coupled dynamic approach can be eight times as great as the corresponding prediction by the quasi-static approach in a water depth of 1018 m. This finding may have important implications for the estimation of the fatigue strength and life span of the mooring lines deployed in deep water oceans.     

Hydrodynamic response of a pneumatic floating platform

This paper describes a numerical approach to model the dynamic response of a pneumatic floating platform, and the laboratory experiments and parametric study to verify the numerical results. The pneumatic platform is composed of an array of open-bottom vertical cylinders trapping pressurized air that displaces the water. The cylinder diameter is assumed to be small compared to the wavelength and the water inside each cylinder oscillates as a piston. These assumptions simplify the mathematical formulation in that the bottom of the platform can be treated as a continuous surface on which the source distribution method can be applied. In the laboratory experiments, the compressibility and displacement of the trapped air are modeled by a spring and float assembly. The comparison between the numerical and experimental results indicates favorable agreement. The oscillation of the water columns and the overall dynamic characteristics of the platform are illustrated and discussed in the parametric study.     

Reliability assessment of multi-megawatt capacity offshore dynamic positioning systems

A reliable Dynamic Positioning (DP) system is the key requirement for critical offshore activities. This paper presents the quantitative reliability assessment for offshore multi-megawatt capacity electric DP systems based on the present technological maturity and the offshore industry-reported component failure rates. It is identified that the International Maritime Organization defined DP1, DP2 DP3 architectures with fully redundant power generators and electric variable speed thrusters could have mean time to fail periods of 0.3, 2.1 and 2.5 years respectively. In the analyzed DP2 architecture, the power generation cum management system, the computer control cum sensors system and the thruster systems contribute to 17%, 42%, and 41% of the total DP system failures. The results presented could be used for reliability-centered design and maintenance planning of multi megawatt capacity DP systems.     

浮式塔的动力计算

采用频域二阶摄动法研究了浮式塔在给定环境条件下的动力响应.计算了浮式塔在不规则波上的一阶运动响应函数和运动谱以及张力谱,同时进行了相应的模型试验.由结果的比较可以看出,试验结果与理论方法计算得到的结果吻合较好.计算结果表明,波浪的二阶作用对浮式塔的低频纵荡有影响.计算结果与试验结果的比较说明频域二阶摄动法可以用于浮式塔的动力分析.