船体湿表面脉动压力预报的三维非线性方法

本文给出了一种预报船体湿表面脉动压力响应的三维非线性时历模拟方法.计及瞬时物面变化引起的各种非线性因素,在时域内建立船体非线性运动方程.在每一时刻,认为船体以其瞬时平均湿表面为平衡位置做简谐振荡运动,利用三维线性频域解来简化运算.在此基础上,进一步将绕射和辐射问题在静平衡位置求解,仅考虑占主导地位的入射波和静恢复力变化的非线性,作为一种兼顾工程需要的计算精度和计算效率的简化方法.以此方法为基础编制了计算机程序,对实船进行了计算,并与模型试验进行了对比.分析比较表明,该方法能够给出令人满意的船体湿表面脉动压力响应预报结果.     

A simplified method for nonlinear failure analysis of stiffened plates

This paper shows that the application of pre-determined failure equations, derived from nonlinear finite element analyses, is effective in determining failure of structural components in a simpler linear finite element analysis. An analysis method is presented which is called simplified failure analysis. The first step of this method is the nonlinear determination of a component's failure limit. Next, a linear coarse-meshed finite element model of the component is analyzed under the failure load determined in the previous step. The resulting linear stress distribution is a ‘representative failure stress’ for the component because it is in equilibrium with the applied failure load. This ‘failure stress’ is then used in simpler linear analysis to provide a representative failure limit. This method is verified by an analysis of a structural grillage.     

A nonlinear model reference adaptive inverse control algorithm with pre-compensator

In this paper, the reduced-order modeling （ROM） technology and its corresponding linear theory are expanded from the linear dynamic system to the nonlinear one, and H∞ control theory is employed in the frequency domain to design some nonlinear system＇ s pre-compensator in some special way. The adaptive model inverse control （AMIC）theory coping with nonlinear system is improved as well. Such is the model reference adaptive inverse control with pre-compensator （PCMRAIC）. The aim of that algorithm is to construct a strategy of control as a whole. As a practical example of the application, the nunlerical simulation has been given on matlab software packages. The numerical result is given. The proposed strategy realizes the linearization control of nonlinear dynamic system. And it carries out a good performance to deal with the nonlinear system.     

船舶推进轴系纵横耦合非线性动力学分析—叶频激励下横向主共振响应

在考虑Von Karman非线性位移—应变关系下,基于Hamilton变分原理建立了船舶推进轴系纵横耦合非线性动力学方程。利用Galerkin方法,导出系统第一阶模态振动微分方程,采用多尺度法求解该方程。获得了叶频激励下横向主共振响应方程组,利用伪弧长延拓法数值求解了该方程组的平衡解并分析了其稳定性。探讨了支承刚度、激励载荷、螺旋桨质量、阻尼比以及细长比对轴系纵横耦合效应的影响。研究表明:细长比越小,激励载荷越大,阻尼比越小,系统纵横耦合效应越强;增加后艉轴承刚度可以抑制纵横耦合效应,增加前艉轴承以及推力轴承刚度则增强纵横耦合效应,而中间轴承对其没有明显影响;与线性模型相比,纵横耦合效应使轴系横向共振时的频率大于其线性固有频率,在某些激励频率处,幅频响应曲线上存在多解使幅值出现跳跃现象。分析结果对船舶推进轴系的设计有指导意义。     

H∞ control design to include nonlinearities. Second report: nonlinearities in equations of motion

In our first report, a method to deal with the nonlinearity of saturation was proposed. A method of dealing with nonlinearity in equations of motion is proposed in this paper. The nonlinear equations of motion are expressed as variations of linear equations of motion. The nonlinear equations can be linearized around a specific point with a tangential plane or line. Accordingly, nonlinear equations effective in a certain domain can be obtained by variations in this tangential line. A control system with varying elements can be designed using the general H _∞ control theory. As an example, we present a speed and heading changing system for large vessels at low speeds during berthing maneuvers, where the equation will vary during motion. The nonlinearity of the equations is caused by the speeds. The control system is essentially designed to be robust in disturbance and noise. In this example, the saturation in the propeller is also considered using the method proposed in the first report. The results show that the method proposed in this paper is effective. Received: February 20, 2001 / Accepted: December 11, 2001     

Two-dimensional numerical simulation and experiment on strongly nonlinear wave–body interactions

A constrained interpolation profile (CIP)-based Cartesian grid method for strongly nonlinear wave–body interaction problems is presented and validated by a newly designed experiment, which is performed in a two-dimensional wave channel. In the experiment, a floating body that has a rectangular section shape is used. A superstructure is installed on the deck and a small floating-body freeboard is adopted in order to easily obtain water-on-deck phenomena. A forced oscillation test in heave and a wave–body interaction test are carried out. The numerical simulation is performed by the CIP-based Cartesian grid method, which is described in this paper. The CIP scheme is applied in the Cartesian grid-based flow solver. New improvements of the method include an interface-capturing method that applies the tangent of hyperbola for interface capturing (THINC) scheme and a virtual particle method for the floating body. The efficiency of the THINC scheme is shown by a dam-breaking computation. Numerical simulations on the experimental problem for both the forced oscillation test and the wave–body interaction test are carried out, and the results are compared to the measurements. All of the comparisons are reasonably good. It is shown, based on the numerical examples, that the present CIP-based Cartesian grid method is an accurate and efficient method for predicting strongly nonlinear wave–body interactions.     

Acoustic excitation of hull surfaces by propeller sources

We present preliminary results from our new ship motion model that includes both strong and weak three-dimensional interactions between environmental surface waves and ship bodies in arbitrary water depth. The linear solutions of steady flow using the new model agree well with those obtained using the Green function methods. When the Froude number Fn is large, the fully nonlinear solutions of our model are significantly different from linear solutions, even in calm water. The interactions between the ship and incident gravity waves are completely different from those in linear solutions even with small Fn and moderate-amplitude surface waves (e.g., Fn = 0.25 and a significant wave height of about 1–3m).     

Hydrodynamic derivatives investigation of unconventionally arranged pusher-barge systems

Unconventional arrangements of pusher-barge systems were studied in this paper. Pusher-barge systems consisting of 4, 6, and 8 barges with one pusher were tested in various combinations. Captive model testing was performed on the various combinations at the Hiroshima University towing tank. Hydrodynamic derivatives of the systems were obtained from the model test data by using the least-square analysis method. For asymmetric conditions, the hydrodynamic derivatives and N′_ββ were added to the force and moment equations in order to obtain better fitting of the least-square curves. Motion equations were modified to cover the asymmetric cases of pusher-barge systems with lateral force and yaw moment due to the asymmetry arrangement. Turning simulations (with 20° sudden angle change) were carried out and a comparison of advance distance and tactical diameter made. An erratum to this article can be found at     

Theoretical,experimental and numerical investigations into nonlinear motion of a tethered-buoy system

In this paper, we discuss nonlinear motion of a buoy connected vertically to the seabed via a tensioned tether (tethered-buoy). A series of scaled model tests has been conducted and a significant nonlinear behavior of the buoy motion, sub-harmonic motion in particular, is observed. Taking account of the influence of time-varying tether tension on the buoy motion, theoretical explanation is made for the sub-harmonic response. The stability of the tethered-buoy system is focused based on Mathieu instability theory. A strongly coupled numerical model between the buoy motion and the tether behavior is established to clarify the mechanism of the nonlinear motion of the tethered-buoy system. A comparison between the experiment data and simulation results is presented not only for the linear but also for the sub-harmonic components. Influential factors for the sub-harmonic motion are discussed in detail. It turned out that the sub-harmonic motion is dominated by the nonlinear coupling effect of time-varying tension in the tether with the buoy motion. Finally, the influential factors to the sub-harmonic motion are indicated throughout the comparison between two different buoy models.     

潜艇水下运动稳定性非线性分析研究

应用非线性系统运动稳定性理论和同伦延拓数值计算方法,分析了潜艇水下运动的稳态响应及运动稳定性, 潜艇应急上浮运动稳定性实例分析结果通过其大攻角六自由度运动方程数值积分的动态仿真进行了验证,表明稳定性分析结果是正确的。从而说明了采用同伦延拓法分析潜艇水下运动稳定性是有效的。     

承船厢二维非线性晃动的分析

本文根据流体力学势流理论和刚体动力学原理并借助"Mathematica"符号计算软件,建立了描述升船机承船厢悬挂系统的刚体竖直振动及纵摆振动和厢内水体运动相互耦合的非线性动力学数学模型,推导了非线性耦合动力学常微分方程组及其线性化方程的系数矩阵,提出了系统线性稳定性的判定方法;通过计算三峡全平衡垂直升船机钢丝绳卷扬方案承船厢悬挂系统的线性化动力学方程系数矩阵的特征值,并对非线性微分方程的动态响应进行数值仿真,对升船机承船厢悬挂系统的稳定性以及非线性因素对稳定性的影响等问题进行了初步的研究.     

液舱晃荡与浮体非线性耦合运动分析(英文)

Nonlinear interactions among incident wave, tank-sloshing and floating body coupling motion are investigated. The fully nonlinear sloshing and body-surface nonlinear free surface hydrodynamics is simulated using a Non-Uniform Rational B-Spline (NURBS) higher-order panel method in time domain based on the potential theory. A robust and stable improved iterative procedure (Yan and Ma, 2007) for floating bodies is used for calculating the time derivative of velocity potential and floating body motion. An energy dissipation condition based on linear theory adopted by Huang (2011) is developed to consider flow viscosity effects of sloshing flow in nonlinear model. A two-dimensional tank model test was performed to identify its validity. The present nonlinear coupling sway motion results are subsequently compared with the corresponding Rognebakke and Faltinsen (2003)’s experimental results, showing fair agreement. Thus, the numerical approach presented in this paper is expected to be very efficient and realistic in evaluating the coupling effects of nonlinear sloshing and body motion.     

Comparison of numerical and experimental results of nonlinear wave-induced vertical ship motions and loads

 A nonlinear time-domain procedure is presented which is used to calculate the vertical responses of a container ship advancing in head waves. The method assumes linear radiation forces represented by time convolution of memory functions, infinite frequency added masses, and radiation restoring coefficients. The nonlinear hydrostatic restoring and Froude–Krilov forces are computed exactly over the instantaneous wetted surface of the ship's hull. Forces due to green water on deck are calculated using the momentum method. Nonlinear effects are identified on different vertical ship responses, namely on the heave and pitch motions, the vertical accelerations, and the vertical bending moment. These non-linear effects are expressed by the variation of the transfer function with the wave amplitude, the higher-order harmonics of the time signals, the offset of the time series, and the asymmetry of the peaks. The numerical results and the quantified nonlinear effects are compared with experimental results showing an ability to reproduce the main nonlinear effects. Received: December 17, 2001 / Accepted: January 31, 2002     

基于N-S方程的航行船舶辐射问题数值模拟

基于N-S(Navier-Stokes)方程,进行了航行船舶辐射问题的数值模拟,包括强制垂荡和强制纵摇的模拟.计算了船舶垂荡和纵摇的附加质量和阻尼.数值模拟中,控制方程--BANS(Reynolds Averaged Navier-Stokes)方程和连续性方程使用有限体积法离散,非线性自由面采用VOF方法处理.文中给出了以不同航速前进的船舶强制垂荡和纵摇的力与力矩,以及船舶垂荡和纵摇的附加质量系数和阻尼系数,并与DUT(Delft University of Technology)的试验数据进行了比较,二者吻合良好.     

有限元法在非线性波浪与结构物相互作用中的应用(英文)

We review recent advances in the finite element method (FEM) simulations of interactions between waves and structures. Our focus is on the potential theory with the fully nonlinear or second-order boundary condition. The present paper has six sections. A review of previous work on interactions between waves and ocean structures is presented in Section one. Section two gives the mathematical formulation. In Section three, the finite element discretization, mesh generation and the finite element linear system solution methods are described. Section four presents numerical methods including time marching schemes, computation of velocity, remeshing and smoothing techniques and numerical radiation conditions. The application of the FEM to the wave-structure interactions are presented in Section five followed by the concluding remarks in Section six.     

基于增量谐波平衡法的输流管道非线性振动分析

考虑内、外流体的影响,利用Kane方法和拉格朗日应变理论建立了输流管道的二维非线性动力学模型.将动力学模型在平衡位置附近线性化,进行输流管道的线性稳定性分析.采用增量谐波平衡法求解包含三次非线性项动力学模型的稳态周期解.探讨了不同参数影响下输流管道的非线性动力响应以及内流流速的大小对管道动力特性的影响.     

系泊系统非线性恢复力研究及其应用(英文)

Mooring system plays an important role in station keeping of floating offshore structures.Coupled analysis on mooring-buoy interactions has been increasingly studied in recent years.At present,chains and wire ropes are widely used in offshore engineering practice.On the basis of mooring line statics,an explicit formulation of single mooring chain/wire rope stiffness coefficients and mooring stiffness matrix of the mooring system were derived in this article,taking into account the horizontal restoring force,vertical restoring force and their coupling terms.The nonlinearity of mooring stiffness was analyzed,and the influences of various parameters,such as material,displacement,pre-tension and water depth,were investigated.Finally some application cases of the mooring stiffness in hydrodynamic calculation were presented.Data shows that this kind of stiffness can reckon in linear and nonlinear forces of mooring system.Also,the stiffness can be used in hydrodynamic analysis to get the eigenfrequency of slow drift motions.     

Synthesis of experimental designs of maneuvering captive-model tests with a large number of factors

An approach to synthesizing D-optimized experimental designs for an arbitrary number of factors was developed and tested on a third-order polynomial regression model with 5–8 factors. Three options were envisaged for the internal optimization procedure: an exhaustive search, a quasirandom search with the help of the Sobol sequences, and a genetic algorithm. The calculations performed have shown the pronounced superiority of the variant involving a genetic algorithm. Captive-model tests with a catamaran model with varying Froude number, drift angle, rate of yaw, sinkage, trim, and heel are presented as an example of the practical synthesis of the experimental design. The linear regression model constructed is a third-order 5-factor polynomial with respect to all factors except the Froude number. The influence of the latter is accounted for by representing the polynomials regression coefficients as functions of the Froude number represented as a truncated Fourier series with a linear term added.     

A 2D+T VOF fully coupled formulation for the calculation of breaking free-surface flow

We present the results of simulations obtained with a free-surface flow solver based on the following method. The free surface is simulated by the volume-of-fluid interface capturing method. This code solves the Navier–Stokes equations using a finite-volume method adapted to a structured or unstructured mesh. The system is constructed using a fully coupled approach. This global approach allows the simulation of complex flow as a breaking or merging wave. Moreover, with the use of a 2D+T decomposition, it is possible to simulate three-dimensional steady flow.