基于非线性数学模型的半潜式平台共振运动特性研究

共振运动是深海浮式平台设计的关键考虑因素之一,对海洋平台的作业具有重要影响。采用半潜式平台运动的非线性耦合数学模型,考虑浮筒和横撑出入水以及垂荡、横摇和纵摇运动耦合对平台浮力和恢复力的影响,研究半潜式平台非线性共振运动特性,以及不规则波浪参数对运动的影响。研究表明:在非线性耦合运动和浮力变化的影响下,半潜式平台纵摇和垂荡运动的固有周期会随运动幅值的增大而逐渐减小,且最终趋于稳定,对纵摇运动周期的影响更为显著;非线性效应会使半潜式平台产生显著的低频纵摇共振响应,以及共振频率漂移的现象,且受随机种子和波浪周期的影响较小。     

半潜式平台垂向运动低频响应特性

对半潜式平台垂向运动性能(包括垂荡、横摇和纵摇)进行数值计算分析。与模型试验结果的比较表明,对于半潜式平台这类由柱体组成的结构物进行水动力数值预报,忽略粘性力作用会使得低频运动响应计算结果产生偏差,需要应用三维势流理论和Morison公式相结合的方法。横摇和纵摇运动固有频率均低于波浪频率,在波浪慢漂力作用下会出现显著低频运动响应。垂荡运动是否出现低频响应则与所处海况联系紧密。     

船舶随浪运动稳性仿真计算

本文利用Ｌｉａｐｕｎｏｖ理论，研究了船舶在规则波浪运动的稳性；利用摄动理论，求解出船舶运动响应；并讨论了船舶横摇与垂荡运动频率、最大横摇角和波浪要素对稳性曲线ＧＺ的影响，以及流体动压力对稳性曲线的修正，从而给计算船舶在随浪中的稳性提供了一种方法。     

球形波浪浮标结构参数对其升沉运动性能的影响

对球形波浪浮标进行了静力学分析,并结合球形波浪浮标吃水线的一般设计要求得出了球形波浪浮标的平均密度与海水密度的关系式。利用球形波浪浮标在受到波浪激励时的运动响应方程并结合球形波浪浮标的结构参数特点,得出了球形波浪浮标在波浪激励下的升沉运动振幅与激励波浪振幅相一致的理论条件和结构参数。以国家海洋技术中心最新研发的直径480 mm球形波浪测量浮标为研究对象,结合海洋表面波分类特征,研究了该球形浮标体在常规波浪激励下的升沉运动响应的相关性能,并给出了在测量不同周期的波浪时,该球形浮标体升沉运动的理论响应振幅系数。通过以上分析得出了直径480 mm球形波浪测量浮标在测量周期为1 s以上的波浪时具有非常优越的随波浪升沉运动的性能。文章的相关分析为球形波浪浮标的进一步研究提供了理论基础。     

船舶随浪运动隐性仿真计算

本文利用Ｌｉａｐｕｎｏｖ理论，研究了船舶在规划波良运动的稳性；利用摄动理论，求解出船舶运动响应；并讨论了船舶横摇与垂荡运动频率、最大横摇角和波浪要素对稳性曲线ＧＺ的影响，以及流体动压力对稳性曲线的修正，从而给计算船舶在随浪中的稳性提供了一种。方法。     

涌浪作用下港内大型集装箱船运动特性数值研究

随着船舶大型化和港口建设深水化发展,外海不同周期波浪作用下大型系泊船泊稳问题与小型系泊船相比出现了新的特点。为此,利用数值模型方法研究了在不同入射角度和周期的涌浪作用下港内大型系泊船的水动力响应,针对系泊船的泊稳情况探讨了船舶的运动规律和运动特性。研究发现,在涌浪周期较大的情况下,限定波高的泊稳标准不足以用来确定系泊船的正常作业条件,港内泊船的水平运动（纵荡、横荡和艏摇）极易超出运动标准值并影响装卸作业效率,并且船舶的水平运动表现出主要由次重力波主导的低频运动特性,而垂直运动（垂荡、横摇和纵摇）表现出主要由短波主导的波频运动特性。     

畸形波作用下半潜式平台波浪爬升与气隙响应特性

半潜平台的波浪爬升与气隙响应是设计过程中的重要考量因素。为探究随机波浪场中畸形波对半潜平台波浪爬升及气隙响应的影响,将含畸形波的随机波浪试验与一般随机波浪试验结果进行了对比研究分析。对模型试验测得的运动以及监测点处的波浪爬升及气隙进行频谱分析以及极值统计分析。研究发现,纵荡和纵摇的极大值主要受畸形波的影响而显著增大,纵荡、垂荡以及纵摇响应谱几乎不受单个畸形波影响;波浪爬升与气隙的极大值受到畸形波的影响而增大,同时,畸形波对气隙响应谱造成极大影响,增强了波浪爬升与气隙响应的非线性性。     

Spar平台垂荡-纵摇耦合运动失稳机理

研究参数激励和强迫激励共同作用下Spar平台垂荡-纵摇耦合运动的失稳机理.考虑静稳性和排水体积的变化,推导平台的垂荡回复力和纵摇回复力矩表达式,建立规则波浪中平台垂荡-纵摇耦合的运动方程.以经典Spar平台为例,分析平台垂荡-纵摇耦合运动发生马休类型不稳定运动的条件以及平台运动失稳的形式,给出波高和波浪周期平面上平台因大幅运动失稳的参数域.结果表明,当波高相对较小时,波浪的临界周期接近于垂荡固有周期,平台失稳的形式为马休失稳;当波高相对较大时,波浪的临界周期远离垂荡固有周期,平台由于大幅摇摆运动而失稳.     

定位浮标在波浪中的动态响应

定位浮标是为满足水下蛙人部队定位要求而设计的。定位浮标的升沉和横摇运动对海水中换能器阵的水声定位精度影响较大，而使定位浮标产生这两种振荡的主要激励源是波浪。在不考虑流和风对浮标作用的前提下，以规则波作为激励源，研究了定位浮标在波浪激励下的两种运动模型，然后用计算机对横摇和升沉运动模型进行了仿真，最后从运动模型出发提出了减少浮标振幅的有效办法，这对定位浮标结构设计有重要意义。     

基于势流模型的双体船耐波性能研究

双体船由于其优良的快速性和横稳性等特性,在民用和军用中应用广泛。针对无限水深下迎浪、斜浪中自由运动的WigleyⅢ双体船,利用线性势流软件WAMIT,通过调整片体间距,对双体船的水动力系数及船体运动响应进行计算和比较,分析不同片体间距的双体船的耐波性。结果发现,片体间距较小的双体船附加质量系数较小,垂荡、纵摇阻尼系数显著增大,垂荡和纵摇运动响应幅值增大,且附加质量系数为负值时的系数绝对大小和频率范围随着片体间距的减小而变大。同时,片体间距越小的双体船间的流体干扰作用令自由面运动响应更加剧烈,迎浪下船体垂荡运动响应略有增大,纵摇运动响应略有减小;而斜浪下垂荡、纵摇、横摇运动响应均增大,船体的耐波性较差。当片体间距较大,在某一频率入射波下,双体船运动响应接近为零,且该频率随着片体间距的增大而减小。另外说明,相较于阻尼系数,附加质量系数对船体运动的影响更大。     

随机波浪下泰勒离散系数的时域解

利用Wolk提出的粒子追踪方程,通过等分频率法划分不规则波谱,利用MATLAB做粒子运动模拟计算,得到无因次化泰勒离散系数K/D随时间t变化的曲线;通过与Huang等得到的P-M谱的泰勒离散系数K/D计算结果比较证明了本计算方法的可靠性。采用该方法研究了不规则波条件下,波序列(同一谱型不同波面序列)和谱型(谱峰周期、有效波高、谱峰升高因子)对波浪离散系数的影响;计算结果表明:同一谱型不同波序列对泰勒纵向离散系数稳定值和稳定时间无影响;不规则波谱峰周期越大,纵向离散系数K/D越小,稳定时间越短;有效波高越大,纵向离散系数K/D越大,稳定时间越长;谱峰升高因子越大,泰勒离散系数K/D越大,稳定时间越长;与规则波相比,不规则波的泰勒离散系数K/D的值略小10%~30%。     

On the identification of ship coupled heave–pitch motions using neural networks

This paper outlines a procedure for the derivation of the differential equations describing the free response of a heaving and pitching ship from its stationary response to random waves. The coupled heave–pitch motion of a ship in random seas is modelled as a multi-dimensional Markov process. The partial differential equation describing the transition probability density function, known as the Fokker-Planck equation, for this process is derived. The Fokker-Planck equation is used to derive the random decrement equations for the coupled heave–pitch motion. The parameters in these equations are then identified using a neural network approach. The method is validated using numerical simulations and experimental results. The experimental data was obtained using an icebreaker ship model heaving and pitching in random waves. It is shown that the method produces good results when the system is lightly damped. An extension for using this method to identify couple heave–pitch motion in realistic seas is suggested.     

On the identification of ship coupled heave–pitch motions using neural networks

This paper outlines a procedure for the derivation of the differential equations describing the free response of a heaving and pitching ship from its stationary response to random waves. The coupled heave–pitch motion of a ship in random seas is modelled as a multi-dimensional Markov process. The partial differential equation describing the transition probability density function, known as the Fokker-Planck equation, for this process is derived. The Fokker-Planck equation is used to derive the random decrement equations for the coupled heave–pitch motion. The parameters in these equations are then identified using a neural network approach. The method is validated using numerical simulations and experimental results. The experimental data was obtained using an icebreaker ship model heaving and pitching in random waves. It is shown that the method produces good results when the system is lightly damped. An extension for using this method to identify couple heave–pitch motion in realistic seas is suggested.     

顺应式海洋平台慢漂运动物理模型试验研究

为研究顺应式海洋平台慢漂运动的影响因素,以截断圆柱和漂浮方箱为例进行了不规则波作用下的慢漂运动模型试验。测量了不同系泊刚度条件下的漂浮方箱以及相同系泊刚度条件下的截断圆柱和漂浮方箱在静水中自由衰减运动和在不规则波中的运动响应,并将运动响应分解成一阶波频运动响应和二阶低频运动响应,分析了系泊刚度和浮体形状对浮体运动的影响。通过物理模型试验发现了系泊刚度及浮体形状对顺应式系泊浮体一阶运动标准差和二阶低频运动平均漂移值和标准差的关系。结果表明由于顺应式浮体的固有周期远离波浪谱峰周期时,系泊刚度以及浮体形状对慢漂运动的一阶运动响应影响不大;二阶低频运动相对偏离平衡位置的平均值和标准差均随系泊刚度增大而减小,浮体形状同样对慢漂运动的二阶低频纵荡运动响应影响较大。试验结果为实际海洋工程的外形选择和系泊刚度选择提供数据支持。     

A Semi-Analytical Method for the PDFs of A Ship Rolling in Random Oblique Waves

The PDFs (probability density functions) and probability of a ship rolling under the random parametric and forced excitations were studied by a semi-analytical method. The rolling motion equation of the ship in random oblique waves was established. The righting arm obtained by the numerical simulation was approximately fitted by an analytical function. The irregular waves were decomposed into two Gauss stationary random processes, and the CARMA (2, 1) model was used to fit the spectral density function of parametric and forced excitations. The stochastic energy envelope averaging method was used to solve the PDFs and the probability. The validity of the semi-analytical method was verified by the Monte Carlo method. The C11 ship was taken as an example, and the influences of the system parameters on the PDFs and probability were analyzed. The results show that the probability of ship rolling is affected by the characteristic wave height, wave length, and the heading angle. In order to provide proper advice for the ship''s manoeuvring, the parametric excitations should be considered appropriately when the ship navigates in the oblique seas.     

Numerical simulation of ship stability for dynamic environment

The prediction of ship stability during the early stages of design is very important from the point of vessel’s safety. Out of the six motions of a ship, the critical motion leading to capsize of a vessel is the rolling motion. In the present study, particular attention is paid to the performance of a ship in beam sea. The linear ship response in waves is evaluated using strip theory. Critical condition in the rolling motion of a ship is when it is subjected to synchronous beam waves. In this paper, a nonlinear approach has been tried to predict the roll response of a vessel. Various representations of damping and restoring terms found in the literature are investigated. A parametric investigation is undertaken to identify the effect of a number of key parameters like wave amplitude, wave frequency, metacentric height, etc.     

Taylor Dispersion of Contaminants by Dual-peak Spectral Random Waves

Recent extensive and important studies have provided detailed information and compelling evidence on how the presence of waves influences the vertical diffusivity/dispersivity in the coastal environment, which can affect various water quality considerations such as the distribution of suspended sediments in the water column as well as the potential of eutrophication. Comparatively, how the presence of waves influences the horizontal diffusivity/dispersivity has received only scant attention in the literature. Our previous works investigated the role played by the Taylor mechanism due to the wave-induced drift profile which leads to the longitudinal dispersion of contaminants in the horizontal direction, under regular sinusoidal waves and random waves with single-peak spectra.Natural waves in the coastal environment, however, often possess dual-peak spectra, comprising both higher frequency wind waves and lower frequency swells. In this study, the Taylor dispersion of contaminants under random waves with dual-peak spectra is examined through analytical derivation and numerical calculations. The effects of various dual-peak spectral parameters on the horizontal dispersion, including the proportion of lower frequency energy, peak frequency ratio and spectral shape parameter, are investigated. The results show that the relative energy distribution between the dual peaks has the most significant effect. Compared with single-peak spectra with equivalent energy, the Taylor dispersion with dual-peak spectra is stronger when the lower frequency is close to the peak frequency of the single-peak spectrum, and weaker with the higher frequency instead. Thus, it can be concluded that with a dual-peak wave spectrum, wind-dominated seas with higher frequency lead to stronger dispersion in the horizontal direction than swell-dominated seas with lower frequency.     

An experimental self-motion study of the Ocean Explorer AUV incontrolled sea states

This paper describes a controlled self-motion study recently carried out using a small autonomous underwater vehicle (AUV) in a controlled environment in which regular and random waves can be generated accurately for various frequencies and heights. In this study, the AUV was one of the Florida Atlantic University's Ocean Explorer series vehicles, and the controlled environment was chosen to be the Maneuvering And Sea-Keeping (MASK) facilities located at the David Taylor Model Basin. During the entire study, 29 sets of experimental motion and wave data were collected under various wave frequencies and heights, vehicle alignment, and operating depths. Due to the wave tank constraint, the vehicle speed was restricted to be less than 1.5 m/s and the wave frequency higher than 0.3 Hz without significantly affecting the self-motion analysis. Time history and power spectral density results suggest that the roll-induced pitching response was considerably larger for the wave frequencies tested, as compared to the pitch-induced rolling response. Standard deviation results reveal that the existing OEX is capable of producing approximately 3° (peak-to-peak) pitch, 0.7° (peak-to-peak) roll, and 0.6° (peak-to-peak) yaw at 2-m depth in the head-sea condition when the encountering wave frequency is close to 0.4 Hz. However, at 1.5-m vehicle depth, significant surges were observed in pitching and rolling motion, suggesting that the OEX is currently unsuitable to maintain accurate depth-following within this range at sea-state 2 or higher. It is hoped that the results presented can provide better insights into how a small AUV with a nonideal body shape reacts to waves of different sea states, and how vehicle self-motion can be streamlined by choosing proper vehicle speed, heading, and depth, given that the wave characteristics are available     

Using wavelet transforms to analyze nonlinear ship rolling and heave-roll coupling

The use of wavelet transforms is explored to investigate the nonlinear dynamical characteristics of ship roll and coupled heave-roll motion. The harmonic character, double period character and chaotic character are observed via a time–frequency window of the wavelet transform. Typical wave parameters in different stability regions are considered. Features such as restoring rolling, divergence rolling, steady state and chaotic responses of ship roll are obtained as well. The investigation in this paper not only highlights the feasibility of using wavelet transforms in the analysis of nonlinear dynamic characteristics of ship rolling in waves, but also shows how it could enhance the analysis abilities.