Application of Monte Carlo method in rudder control precision

After the trajectory simulation model of rudder control rocket with six degrees of freedom is established by Matlab/ Simulink, the simulated targeting of rudder control rocket with rudder angle error and starting control moment error is carried out respectively by means of Monte Carlo method and the distribution of impact points of rudder control rocket is counted from all the successful subsamples. In the case of adding interference errors associated with rudder angle error and starting time error, the simulation analysis of impact point dispersion is done and its lateral and longitudinal correction abilities at different targeting angles are simulated to identify the effects of these factors on characteristics and control precision of the rudder control rocket, which provides the relevant reference for high-precision design of rudder control system.

Hydrodynamic Performance Analysis of Propeller-rudder System with the Rudder Parameters Changing

In order to study the effects of geometric parameters of the rudder on the hydrodynamic performance of the propeller-rudder system,the surface panel method is used to build the numerical model of the steady interaction between the propeller and rudder to analyze the relevant factors.The interaction between the propeller and rudder is considered through the induced velocities,which are circumferentially averaged,so the unsteady problem is translated to steady state.An iterative calculation method is used until the hydrodynamic performance converges.Firstly,the hydrodynamic performance of the chosen propeller-rudder system is calculated,and the comparison between the calculated results and the experimental data indicates that the calculation program is reliable.Then,the variable parameters of rudder are investigated,and the calculation results show that the propeller-rudder spacing has a negative relationship with the efficiency of the propeller-rudder system,and the rudder span has an optimal match range with the propeller diameter.Futhermore,the rudder chord and thickness both have a positive correlation with the hydrodynamic performance of the propeller-rudder system.

CFD simulation of propeller and rudder performance when using additional thrust fins

To analyse a possible way to improve the propulsion performance of ships,the unstructured grid and the Reynolds Average Navier-Stokes equations were used to calculate the performance of a propeller and rudder fitted with additional thrust fins in the viscous flow field.The computational fluid dynamics software FLUENT was used to simulate the thrust and torque coefficient as a function of the advance coefficient of propeller and the thrust efficiency of additional thrust fins. The pressure and velocity flow behind the propeller was calculated. The geometrical nodes of the propeller were constituted by FORTRAN program and the NUMBS method was used to create a configuration of the propeller,which was then used by GAMMBIT to generate the calculation model. The thrust efficiency of fins was calculated as a function of the number of additional fins and the attack angles. The results of the calculations agree fairly well with experimental data,which shows that the viscous flow solution we present is useful in simulating the performance of propellers and rudders with additional fins.

Design and Comparison of H∞/H2 Controllers for Frigate Rudder Roll Stabilization

Roll motion of ships can be distinguished in two parts:an unavoidable part due to their natural movement while turning and an unwanted and avoidable part that is due to encounter with waves and rough seas in general.For the attenuation of the unwanted part of roll motion,ways have been developed such as addition of controllable fins and changes in shape.This paper investigates the effectiveness of augmenting the rudder used for rejecting part of the unwanted roll,while maintaining steering and course changing ability.For this purpose,a controller is designed,which acts through intentional superposition of fast,compared with course change,movements of rudder,in order to attenuate the high-frequency roll effects from encountering rough seas.The results obtained by simulation to exogenous disturbance support the conclusion that the roll stabilization for displacement can be effective at least when displacement hull vessels are considered.Moreover,robust stability and performance is verified for the proposed control scheme over the entire operating range of interest.

Energy Optimization of the Fin/Rudder Roll Stabilization System Based on the Multi-objective Genetic Algorithm （MOGA）

Energy optimization is one of the key problems for ship roll reduction systems in the last decade. According to the nonlinear characteristics of ship motion, the four degrees of freedom nonlinear model of Fin/Rudder roll stabilization can be established. This paper analyzes energy consumption caused by overcoming the resistance and the yaw, which is added to the fin/rudder roll stabilization system as new performance index. In order to achieve the purpose of the roll reduction, ship course keeping and energy optimization, the self-tuning PID controller based on the multi-objective genetic algorithm （MOGA） method is used to optimize performance index. In addition, random weight coefficient is adopted to build a multi-objective genetic algorithm optimization model. The objective function is improved so that the objective function can be normalized to a constant level. Simulation results showed that the control method based on MOGA, compared with the traditional control method, not only improves the efficiency of roll stabilization and yaw control precision, but also optimizes the energy of the system. The proposed methodology can get a better performance at different sea states.

Using RANS to Simulate the Interaction and overall Performance of Propellers and Rudders with Thrust Fins

The Reynolds-averaged Navier-Stokes (RANS) method, along with the Fluent software package, was used to study the steady and unsteady interaction of propellers and rudders with additional thrust fins.The sliding mesh model was employed to simulate unsteady interactions between the blades, the rudder and the thrust fins.Based on the numerical results, the pressure distribution on the propeller and the efficiency of the fins were calculated as a function of the attack angle.The RANS results were compared with results calculated by the potential method.It was found that the results for the potential method and the RANS method have good consistency, but they yield maximum efficiencies for the fins, and thus corresponding attack angles, that are not identical.

Synchro-control of Twin-rudder with Cloud Model

In ships having two rudders, an angle error exists if there is a difference in structural and electrical parameters in two steering gear systems. Such an error also results in reduced efficiency of ship maneuverability during navigation. For the sake of reducing the angle error, a synchro-ballistic control approach based on cloud model is proposed in this paper. First, the mechanism model of steering gear system is introduced. Second, the structure of synchro-control system of twin-rudder is proposed based on the master-slave control strategy. Third, synchro-ballistic controller based on cloud model is designed to solve the nonlinearity and uncertainty of system. Finally, the designed controller is tested via simulation under two different situations. The simulated results demonstrate that this method is simple and has stronger robustness against the variation of states and parameters of plants. Hence, the validity and reliability of the method is proved for synchro-control of two rudders, which is a significant engineering application.

Application of H~∞ control in rudder/flap vector robust control of a ship's course

Given the uncertainty of parameters and the random nature of disturbances that effect a ships course, a robust course controller should be designed on the basis of rudder/flap vector control. This paper analyzes system uncertainty, and the choice of weighting functions is also discussed. When sea waves operate on a ship, the energy-concentrating frequency varies with the angle of encounter. For different angles of encounter, different weighting functions are designed. For the pole of a nominal model existing in an imaginary axis, the bilinear-transform method is used. The "2-Riccati" equation is adopted to solve the H∞ controller. A system simulation is given, and the results show that, compared with a PID controller, this system has higher course precision and more robust performance. This research has significant engineering value.

Numerical Evaluation of Rudder Performance Behind a Propeller in Bollard Pull Condition

Correct evaluation of rudder performance is a key issue in assessing ship maneuverability.This paper presents a simplified approach based on a viscous flow solver to address propeller and rudder interactions.Viscous flow solvers have been applied to this type of problems,but the large computational requests limit(or even prevent)their application at a preliminary ship design stage.Based on this idea,a simplified approach to include the propeller effect in front of the rudder is considered to speed up the solution.Based on the concept of body forces,this approach enables sufficiently fast computation for a preliminary ship design stage,therebymaintaining its reliability.To define the limitations of the proposed procedure,an extensive analysis of the simplified method is performed and the results are compared with experimental data presented in the literature.Initially,the reported results show the capability of the body-force approach to represent the inflow field to the rudder without the full description of the propeller,also with regard to the complex bollard pull condition.Consequently,the rudder forces are satisfactorily predicted at least with regard to the lift force.However,the drag force evaluation ismore problematic and causes higher discrepancies.Nevertheless,these discrepancies may be accepted due to their lower influence on the overall ship maneuverability performance.

Numerical Simulation of Transverse Jet Interaction with Rudders in Supersonic Free Stream for Simplified Missile

Numerical simulation is carried out for jets arranged at 7 different positions for the same model and compared with non-jet flows.The total and rudder force and moment amplification is calculated and analyzed by the pressure distribution on the surface and rudders of the simplified missile.Numerical results show that interactions take great effect on the configuration of the flow field around rudders and the pressure distribution on the missile surface.

Rudder Roll Damping Autopilot Using Dual Extended Kalman Filter–Trained Neural Networks for Ships in Waves

The roll motions of ships advancing in heavy seas have severe impacts on the safety of crews,vessels,and cargoes;thus,it must be damped.This study presents the design of a rudder roll damping autopilot by utilizing the dual extended Kalman filter(DEKF)trained radial basis function neural networks(RBFNN)for the surface vessels.The autopilot system constitutes the roll reduction controller and the yaw motion controller implemented in parallel.After analyzing the advantages of the DEKF-trained RBFNN control method theoretically,the ship’s nonlinear model with environmental disturbances was employed to verify the performance of the proposed stabilization system.Different sailing scenarios were conducted to investigate the motion responses of the ship in waves.The results demonstrate that the DEKF RBFNN based control system is efficient and practical in reducing roll motions and following the path for the ship sailing in waves only through rudder actions.

Studies on the Seizure of Rudder on the Flight Safety of an Aircraft

The demands of aircraft quality design criterion on main control system failure and subsequently instantaneous response were analyzed.According to the simulation,the flight characteristics of an aircraft were studied in different angle of rudder seizure.It demonstrated that when rudder seizure with high angle and pilot could not take action immediately,the flight parameters would change sharply.The yaw angle increased 50 degrees in 5 minutes,side velocity could attain 40 meters per-second,the angle of attack and sideslip would surpass 30 degrees,roll rate would reach -20 degrees per second,side load would arrive 0.6g.Simultaneity the angle of attack exceeded the limited angle,the aircraft would stall.If control wasn't working,the disaster would happen.These phenomena supply the sufficient information of the rudder malfunction. The validity of correcting yaw moment by asymmetry thrust was testified,the simulation results showed that even rudder seizure in most serious conditions,adopting asymmetry thrust can correct yaw moment caused by the rudder seizure.The judgment standards of flight safety level for the state of malfunction were given.The safety level was assessed caused by the rudder seizure.For an aircraft with two engines on one side,the pilots need to adjust the 4 engines to balance the asymmetric moment,the work load is increased enormously.According the flight safety standards,the safety level is level Ⅲ.

Numerical Study on Flow Around Modern Ship Hulls with Rudder-Propeller Interactions

Reducing the fuel consumption of ships presents both economic and environmental gains. Although in the past decades,extensive studies were carried out on the flow around ship hull, it is still difficult to calculate the flow around the hull while considering propeller interaction. In this paper, the viscous flow around modern ship hulls is computed considering propeller action. In this analysis, the numerical investigation of flow around the ship is combined with propeller theory to simulate the hull-propeller interaction. Various longitudinal positions of the rudder are also analyzed to determine the effect of rudder position on propeller efficiency. First, a numerical study was performed around a bare hull using Shipflow computational fluid dynamics(CFD) code to determine free-surface wave elevation and resistance components.A zonal approach was applied to successively incorporate Bpotential flow solver^ in the region outside the boundary layer and wake, Bboundary layer solver^ in the thin boundary layer region near the ship hull, and BNavier-Stokes solver^in the wake region. Propeller open water characteristics were determined using an open-source MATLAB code Open Prop, which is based on the lifting line theory, for the moderately loaded propeller. The obtained open water test results were specified in the flow module of Shipflow for self-propulsion tests. The velocity field behind the ship was recalculated into an effective wake and given to the propeller code that calculates the propeller load. Once the load was known, it was transferred to the Reynolds-averaged Navier-Stokes(RANS) solver to simulate the propeller action. The interaction between the hull and propeller with different rudder positions was then predicted to improve the propulsive efficiency.

Effective model based fault detection scheme for rudder servo system

The inherent nonlinearities of the rudder servo system(RSS) and the unknown external disturbances bring great challenges to the practical application of fault detection technology. Modeling of whole rudder system is a challenging and difficult task. Quite often, models are too inaccurate, especially in transient stages. In model based fault detection, these inaccuracies might cause wrong actions. An effective approach, which combines nonlinear unknown input observer(NUIO) with an adaptive threshold, is proposed. NUIO can estimate the states of RSS asymptotically without any knowledge of external disturbance. An adaptive threshold is used for decision making which helps to reduce the influence of model uncertainty. Actuator and sensor faults that occur in RSS are considered both by simulation and experimental tests. The observer performance, robustness and fault detection capability are verified. Simulation and experimental results show that the proposed fault detection scheme is efficient and can be used for on-line fault detection.

Thrust Allocation Optimization in Dynamic Positioning Vessels with Main PropellerRudders

In order to deal with the chattering of rudder angle and the problem of non-convex attainable thrust regions,introduce the concept of dynamic attainable region for each thruster and rudder to limit the thruster rotational speed and the rudder angle,and decompose the thrust allocation optimization problem into several optimization sub-problems.The optimization sub-problems were solved by particle swarm optimization(PSO) algorithm.Simulation studies with comparisons on a model ship were carried out to illustrate the effectiveness of the proposed thrust allocation optimization method.

超空泡航行体尾舵展开过程水动力载荷数值研究

超空泡航行体全沾湿航行阶段尾舵展开过程的流体动力载荷对于航行体稳定性分析以及尾舵机性能设计具有重要影响。建立了基于重叠网格技术和网格域间相对运动思想的尾舵展开过程数值计算方法;结合超空泡航行体设计需求,研究了尾舵不同展开速率、不同攻角状态展开以及尾舵展开前后的水动力载荷变化规律;通过对尾舵附近速度矢量场、压力场以及尾舵表面压力系数分析,揭示了尾舵不同状态的流体动力载荷变化原因。研究成果对超空泡航行体尾舵展开过程流场特性研究具有重要参考价值,同时为尾舵机性能设计提供了重要设计依据。

变形翼舵技术在导弹领域的应用需求及技术发展路线

采用变形翼舵技术可解决导弹对发射平台尺寸强约束问题,改善导弹升阻比及弹道末段机动性能,实现飞行全程气动外形最优,适应多任务作战需求。对国内外变形翼舵技术发展进行了概述,介绍了变形翼舵方案组成,分析了导弹对变形翼舵技术的需求,提出了单次阶跃变形、往复伸缩变形、柔性连续变形三阶段技术发展路线以及各阶段的关键技术,为变形翼舵技术在导弹武器领域的深入研究及应用提供了参考。

空气舵抖振载荷地面模拟试验技术研究

固体火箭的空气舵在挂机飞行中受到抖振载荷作用,出现了异常偏转现象,需要通过地面试验排查原因,并开展抖振载荷适应性考核。由于传统的试验方法未能复现故障,本文提出了一种新的抖振载荷地面模拟试验新技术,通过挂机飞行舵面实测数据计算舵面抖振载荷,并基于优化算法完成地面模拟试验条件制定,通过多激振器联合激励方法来完成抖振载荷加载。该试验技术在地面试验中成功实现了产品故障复现,大幅提高试验考核的真实性,该研究结果可以推广应用到其它舵产品气动载荷地面考核中。

舵类结构件几何量误差视觉检测方法及误差评定

针对现有接触式测量方法装夹定位后只能测量一种或两种参数、检测效率低等问题,提出一种舵类结构件几何量误差和装配误差视觉检测方法。首先,利用计算机视觉系统获取舵轴和舵面区域图像,利用图像预处理技术去除图像畸变和噪声,为了更有效地提取舵类结构件边缘,分别采用Sobel算子、Scharr算子、Laplace算子和Canny算子对图像进行边缘检测以确定轮廓,实验对比发现Scharr算子处理后的舵轴图像边缘更清晰且无间断,Canny算子处理后的摇臂图像边缘比较清晰,因此选用Scharr算子提取舵轴图像边缘、Canny算子提取摇臂图像边缘。结合被测要素特点,采用霍夫直线和霍夫圆检测方法提取舵面边缘线特征、舵轴母线特征、摇臂圆轮廓特征;确定了舵芯对称度、舵轴垂直度、摇臂夹角的基准要素,构建了几何量误差检测目标函数,运用自适应遗传算法计算最优解;结合相机标定的内外参矩阵,得到舵芯对称度、舵轴垂直度、摇臂夹角的测量值。最后,研发了舵类结构件几何量误差和装配误差视觉检测软件,搭建了视觉检测实验平台,实现了几何量误差及装配角度误差快速检测功能。经过多次重复测量实验,对称度检测精度达到0.055 mm,垂直度检测精度达到0.225 mm,装配角度检测精度达到0.772°,完成单次检测耗时7 s。该方法不仅提高了几何量误差检测精度和检测效率,同时有助于提高舵类结构件成型-制造-在机检测的自动化和智能化水平。

新型平衡舵阴极保护设计与保护效果评价

目的 针对新型平衡舵结构的电偶腐蚀薄弱区域,设计并优化牺牲阳极保护系统,并对保护效果进行评价。方法 基于边界元法,开展新型平衡舵电偶腐蚀仿真研究,分析电偶腐蚀薄弱区域。针对腐蚀薄弱区域,采用经验法设计牺牲阳极保护系统,开展服役初期和服役3 a后阴极保护效果仿真。从涂层破损率和阳极数量对阴极保护效果的影响出发,优化阴极保护系统。开展物理模型试验,对优化后阴极保护系统的保护效果进行评价。结果 电偶腐蚀主要发生在壳体和底座等支撑材料处,必须采取严格的防腐措施。采用经验法设计的牺牲阳极保护系统在服役初期可以使平衡舵保护电位均负于–800m V,处于良好的阴极保护状态。随着阳极的消耗,服役3 a后,阴极保护系统无法为平衡舵提供有效保护。涂层破损率的增加和阳极数量的减少,都会使平衡舵阴极保护电位正移。通过物理模型试验验证了优化后阴极保护模型的可靠性,对比试验结果,模型的预测误差在5%以内。结论 优化后的阴极保护方案为涂层+8块牺牲阳极,可以在服役3 a涂层破损率达20%的严苛工况下,为平衡舵提供有效阴极保护。优化后的阴极保护系统,铝阳极用量减少30%,有助于节省船舶动力。