Study on real-time estimation of the ship motion cross spectra

 Time-varying coefficient vector autoregressive (T-VVAR) modeling with instantaneous responses is applied to spectrum analysis based on the nonstationary motion data of ships. Because of the ship's maneuvers, changes such as course and speed, the ship motions in waves are regarded as a nonstationary random process, although the seaway can be considered as a stationary stochastic process. The T-VVAR model is transformed into a state space model, and the time-varying coefficients can be evaluated by using the Kalman filter algorithm. Using the estimated time-varying coefficients, the instantaneous cross spectra of the ship motions can be calculated at every moment. In order to examine the reliability of the proposed procedure, on-board tests were carried out. Under stationary conditions, at a constant speed and course, the proposed method shows good agreement with stationary vector autoregressive (SVAR) modeling analysis. Moreover, it is confirmed that the proposed method can estimate the instantaneous cross spectra of the ship motions even under nonstationary conditions, showing that this is a powerful tool for on-line analysis of the nonstationary motion data of ships. Received: August 2, 2002 / Accepted: November 28, 2002 Acknowledgments. The authors thank the captain and crew of the training ship Shioji Maru, Tokyo University of Mercantile Marine. Address correspondence to: T. Iseki (iseki@ipc.tosho-u.ac.jp) Updated from the Japanese original, which won the 2002 SNAJ prize (J Soc Nav Archit Jpn 2001;190:161–168)     

Broaching prediction in the light of an enhanced mathematical model,with higher-order terms taken into account

 We have attempted to develop a more consistent mathematical model for capsizing associated with surf-riding in following and quartering waves by taking most of the second-order terms of the waves into account. The wave effects on the hull maneuvring coefficients were estimated, together with the hydrodynamic lift due to wave fluid velocity, and the change in added mass due to relative wave elevations. The wave effects on the hydrodynamic derivatives with respect to rudder angles were estimated by using the Mathematical Modelling Group (MMG) model. Then captive ship model experiments were conducted, and these showed reasonably good agreements between the experiments and the calculations for the wave effects on the hull and the rudder maneuvring forces. It was also found that the wave effects on restoring moments are much smaller than the Froude–Krylov prediction, and the minimum restoring arm appears on a wave downslope but not on a wave crest amidship. Thus, an experimental formula of the lift force due to the heel angle of the ship is provided for numerical modelling. Numerical simulations were then carried out with these second-order terms of waves, and the results were compared with the results of free-running model experiments. An improved prediction accuracy for ship motions in following and quartering seas was demonstrated. Although the boundaries of the ship motion modes were also obtained with both the original model and the present one, the second-order terms for waves are not so crucial for predicting the capsizing boundaries themselves. Received: June 20, 2002 / Accepted: October 10, 2002 Acknowledgments. This research was supported by a Grant-in-Aid for Scientific Research of the Ministry of Education, Culture, Sports, Science and Technology of Japan (No. 13555270). The authors thank Prof. N. Rakhmanin of the Krylov Ship Research Institute for providing the Russian literature, as well as Mr. H. Murata of NHK (Japan Broadcasting Corporation) for translating it into Japanese. Address correspondence to: N. Umeda (e-mail: umeda@naoe.eng.osaka-u.ac.jp)     

船舶操纵水动力导数的数值求解及敏感度分析

[目的]为了兼顾船舶操纵运动预报的成本与精度,基于数值计算方法,结合水动力导数敏感度分析,提出一种船舶操纵运动预报方法.[方法]首先,求解RANS方程,应用流体体积(VOF)法捕捉自由液面,采用动态网格方法对DTMB 5415船型进行约束运动的数值计算,并将回归得到的线性水动力导数与试验值进行对比,验证数值方案的有效性...     

基于CFD的内河船深浅水中操纵性预报

由于岸壁效应和浅水效应,内河船舶在限制水域作操纵运动时通常受到比在开阔水域中更大的水动力.这些水动力对船舶操纵性具有不利影响,有可能导致船舶碰撞或触底等海上事故.因此,为了在船舶设计阶段预报其操纵性能,考虑浅水效应和岸壁效应以准确计算内河船舶操纵运动水动力非常重要.本文基于CFD方法,通过对粘性绕流进行数值模拟,对长江中营运的三艘内河船舶的操纵运动水动力进行计算.首先,为了验证数值方法的可靠性,对标模KVLCC2纯横荡和纯首摇试验的水动力进行计算,并将计算结果与现有的试验数据进行对比.然后,对三艘内河船舶在不同水深下的静舵试验、纯横荡和纯首摇试验进行数值模拟,计算得到水动力及相应的线性水动力导数.最后,基于计算得到的水动力导数,获得Nomoto模型中的操纵性参数,对比分析三艘内河船舶在深浅水中的操纵性能.结果表明,本文方法可以揭示不同水深下三艘内河船舶的操纵性变化趋势.该方法可为船舶设计阶段内河船舶深浅水中的操纵性预报提供一种实用的工具.     

应用支持向量机的船舶操纵运动响应模型辨识

建模是评估船舶操纵性和可控性的重要前提.基于自由自航船模试验的系统辨识方法是求取船舶操纵运动数学模型中的水动力系数的有效手段之一.文中提出了一种使用支持向量回归估计的船舶操纵运动响应模型辨识方法,该方法通过训练自由自航试验数据样本得到参数回归模型.辨识和仿真结果验证了文中所提出的方法的有效性.     

Finite-volume simulation of flows about a ship in maneuvering motion

A finite-volume method of computing the viscous flow field about a ship in maneuvering motion was developed. The time-dependent Navier-Stokes equation discretized in the generalized boundary-fitted curvilinear coordinate system is solved numerically. A third-order upwind differencing scheme, a marker and cell (MAC)-type explicit time marching solution algorithm and a simplified subgrid scale (SGS) turbulence model are adopted. The simulation method is formulated, including the movement of a computational grid fitted to the body boundary that allows computation of the flow field around a body under unsteady motion. To estimate the maneuvering ability of a ship, the accurate prediction of the hydrodynamic forces and moments of the hull is important. Therefore, experimental methods of finding the hydrodynamic forces of a ship in maneuvering motion, such as the oblique towing test, the circular motion test (CMT) and planar motion mechanism (PMM) test, were established. Numerical simulation methods for those captive model experiments were developed introducing computational fluid dynamics (CFD). First, numerical methods for steady oblique tow and steady turn simulation were developed and then extended to unsteady forced motion. Simulations were conducted about several realistic hulls, and the results were verified by comparisons with measured results obtained in model experiments. Hydrodynamic forces and the moment, the longitudinal distribution of the hydrodynamic lateral force, and the pressure distribution on the hull surface showed good agreement.     

基于神经网络的船舶操纵运动建模研究（英文）

In this paper, Neural Networks(NNs) are used in the modeling of ship maneuvering motion. A nonlinear response model and a linear hydrodynamic model of ship maneuvering motion are also investigated. The maneuverability indices and linear non-dimensional hydrodynamic derivatives in the models are identified by using two-layer feed forward NNs. The stability of parametric estimation is confirmed. Then, the ship maneuvering motion is predicted based on the obtained models. A comparison between the predicted results and the model test results demonstrates the validity of the proposed modeling method.     

Modeling of ship maneuvering motion using neural networks

In this paper, Neural Networks (NNs) are used in the modeling of ship maneuvering motion. A nonlinear response model and a linear hydrodynamic model of ship maneuvering motion are also investigated. The maneuverability indices and linear non-dimensional hydrodynamic derivatives in the models are identified by using two-layer feed forward NNs. The stability of parametric estimation is confirmed. Then, the ship maneuvering motion is predicted based on the obtained models. A comparison between the predicted results and the model test results demonstrates the validity of the proposed modeling method.     

Prediction of the maneuverability of a large container ship with twin propellers and twin rudders

The maneuvering characteristics of a large container ship with twin propellers and twin rudders were investigated using the horizontal planar motion mechanism (HPMM) test and computer simulation. A mathematical model for maneuvering motion with four degrees of freedom (DOF) for twin-propeller and twin-rudder systems was developed and included the effects of roll motion. To obtain the roll-coupling hydrodynamic coefficients of a container ship, a four-DOF HPMM system having a roll motion mechanism and a roll moment measurement system was used. At the full load condition, HPMM tests were carried out for two different 12 000-TEU container ship models, one with twin propellers and the other with a single propeller. Using the hydrodynamic coefficients obtained from the tests, computer simulations were carried out. Simulation results for the container ship with twin propellers and twin rudders were compared with the results for the container ship with a single propeller and single rudder.     

浅水条件下船舶通过船闸时的水动力性能数值研究

文章通过应用CFD方法数值模拟在浅水条件下通过船闸的船舶粘性绕流,对船舶通过船闸时的水动力性能进行了数值预报研究。通过UDF编程定义船舶的运动,使用动网格方法和滑移交界面技术进行船舶运动过程中的网格更新,计算作用在船体上的水动力,并由计算得到的水动力求得船体下沉和纵倾。为了验证所采用的数值方法,以一艘通过比利时泽布吕赫Pierre Vandamme船闸的船舶为例,在模型尺度下进行了计算,并将计算结果和佛兰德水利研究所的模型试验基准数据进行了比较。通过分析不同船速、偏心距和水深条件下的数值结果,给出了这些因素对船舶通过船闸时的水动力性能的影响。该文研究结果可为浅水条件下船舶通过船闸时的安全操纵和控制提供一定的指导。     

基于CFD方法求取供应船位置水动力导数回归公式

以动力定位船为研究对象,通过船型变换生成供应船的系列船型。基于CFD数值模拟约束模平面运动机构（PMM）试验中的斜拖试验,得到系列船型在不同漂角时所受的横向力和转艏力矩,经最小二乘法拟合求得各船型的位置水动力导数。在此基础上,通过多元回归,得到位置水动力导数关于船型参数的回归公式,以为设计阶段动力定位船位置水动力导数的确定提供简便的方法。     

Large-amplitude motion responses of a Ro–Ro ship to regular oblique waves in intact and damaged conditions

This article presents a nonlinear time-domain simulation method for the prediction of large-amplitude motions of a Ro–Ro ship in regular oblique waves in an intact and a damaged condition. Numerical computations and model tests have been carried out to investigate the dynamic motion responses of Ro–Ro ship Dextra to various wave amplitudes at three different wave headings. The results of numerical and experimental investigations for stern quartering waves are reviewed. Comparisons between predictions and measurements show good agreement except in the roll-resonant region. Nonlinear effects are significant in horizontal modes of motion, and resonant roll motion, and there is strong coupling between all modes of motion in the roll-resonant region for large-amplitude responses. On the other hand, the time-domain simulation technique suffers from numerical drift in horizontal modes of motion as wave amplitude increases. This is due to nonlinear equations of motion and the lack of a restoring force and moment in horizontal motion. Received: April 30, 2002 / Accepted: August 9, 2002 Acknowledgments. II Programme of the European Community Commission under contract No. BRPR-CT97-0513. Address correspondence to: H.S. Chan (hoi-sang.chan@ncl.ac.uk)     

操纵运动船舶的水动力计算研究

以船舶操纵水动力预报为研究背景,通过对商用计算流体力学软件FLUENT的二次开发,采用其动网格技术以及后处理系统,对大型船舶操纵水动力导数进行了数值计算.船体按照斜航、不同舵角、纯横荡和纯首摇等状态做运动,得出随船坐标系下作用于其上的水动力及力矩.通过进行基于最小二乘法的曲线拟合,最终求得船舶操纵水动力导数.计算结果与势流理论计算结果一致,表明了所提出的计算方法适用于复杂船舶运动的水动力导数计算.     

基于数值操纵水池的潜艇倒航操纵性研究评述

潜艇倒航操纵性研究是潜艇操纵性领域的难点问题。在调研和查阅了大量文献资料的基础上,综述了国内外潜艇倒航操纵性研究的发展概况,着重对潜艇倒航操纵运动数学模型、基于 CFD的数值操纵水池技术和潜艇倒航运动操纵性能分析方法等方面存在的问题进行讨论,分析了基于数值操纵水池的潜艇倒航操纵性研究的可行性,提出了基于数值操纵水池的潜艇倒航操纵性研究的基本方法、需要解决的重点问题及关键技术。     

基于LS-SVM的船舶操纵运动在线建模

基于最小二乘支持向量机(LS-SVM)和积分型辨识样本结构开展了船舶操纵运动的在线建模.以整体型Abkow-itz模型为辨识对象,大阪号油轮作为具体研究对象.在操纵运动仿真时,采用40个粘性类水动力导数的Abkowitz模型,但是在参数辨识时,采用了仅具有20个粘性类水动力导数的简化模型.为了对建模方法的有效性进行检验,将辨识得到的水动力导数与其原始值进行了比较,同时也针对辨识模型和原始模型的操纵运动仿真进行了比较.辨识结果表明,使用简化模型进行船舶操纵运动的在线建模是合适的,具有较好的预报效果和较高的精度.     

舵鳍联合非线性数学模型的建立及仿真

针对船舶运动的非线性本质,为舵鳍联合系统建立了具有通用性的非线性数学模型.首先基于MMG(Ship Manoeuvring Mathematical Model Group)的建模思想,建立一个包含风、浪、流十扰的4自由度舵鳍联合非线性数学模型,并详细给出了模型涉及的参数及流体动力导数的计算公式.然后利用该模型对"Hual Trooper"号汽车运输船及"Belnor"号散货运输船进行同转试验及Z彤试验的仿真,得到了一系列与实船试验曲线接近的仿真曲线.仿真结果说明了该模型的止确性和工程可行性.     

Study on the maneuverability of a large vessel installed with a mariner type Super VecTwin rudder

The suitability of the Mariner type Super VecTwin rudder (hereinafter, the MSV rudder) for a large vessel is assessed in this article. Several experiments in a maneuvering pond were carried out and their results analyzed and summarized. Free-running tests such as turning, zigzag, and stopping tests were carried out with a 4-m free-running model of a very large crude carrier (VLCC) ship with the MSV rudder and the Mariner rudder. The results were compared to validate the maneuverability of a VLCC-sized a ship installed with the MSV rudder. A mathematical model of an MSV rudder is proposed for maneuvering simulation of a large vessel. To develop a maneuvering simulation for the model ship that was used in the free-running tests, hydrodynamic coefficients were estimated based on Kijima's regression formula. The coefficients of interaction between the hull and rudder (t_R, a_H, x_H) were obtained from a self-propulsion test in a towing tank. The complicated flow around the rudders is simplified to model the flow speed around the rudders. This simplified flow speed is utilized to compare the time histories of the free-running tests with the simulations. The mathematical model of the MSV rudder was further improved using the results of this comparison.     

Black-box modeling of ship manoeuvring motion based on feed-forward neural network with Chebyshev orthogonal basis function

Based on polynomial interpolation and approximation theory, a novel feed-forward neural network, the feed-forward neural network with Chebyshev orthogonal basis function, is proposed for black-box modeling of ship manoeuvring motion. The neural model adopts a three-layer structure, in which the hidden layer neurons are activated by a group of Chebyshev orthogonal polynomial activation functions and the other two layers’ neurons use identity mapping as activation functions. Weight update formulas are derived by employing the standard back-propagation (BP) training method. With the simulated 15º/15º zigzag test data as input and calculated values of the hydrodynamic forces and moment as output, the feed-forward neural network with Chebyshev orthogonal basis function and the BP neural network are applied to identify the nonlinear functions in the nonlinear hydrodynamic model of ship manoeuvring motion. With the simulated 20º/20º zigzag test data and 35º turning test data as input, the hydrodynamic forces and moment are predicted by using the identified nonlinear functions. Comparison between the calculated and predicted hydrodynamic forces and moment shows that the feed-forward neural network with Chebyshev orthogonal basis function is superior to the BP neural network in identifying the nonlinear functions of the nonlinear hydrodynamic model of ship manoeuvring motion and is an effective method to conduct the black-box modeling of ship manoeuvring motion.     

小水线面双体船操纵性数值预报方法研究

文章基于粘性流体理论,采用CFD技术,通过对双体船变漂角旋臂运动的模拟,得到代表小水线面双体船舶操纵性能的水动力导数。利用MMG模型,对小水线面双体船的操纵性能进行初步预报。根据变漂角旋臂运动的数值模拟,既可从中得到仅仅与漂角和角速度有关的水动力导数,也可获得包括高阶导数和耦合导数在内的操纵性运动水动力导数。文章在保留三阶水动力导数的情况下,将代入高阶耦合水动力导数的操纵运动方程所绘制的回转圈与不代入高阶耦合水动力导数的回转圈进行对比,体现了高阶耦合水动力导数对于小水线面双体船操纵性预报的重要性,并以某双体船型为例,对其操纵性能进行预报。