Grounding experiments on soft bottoms

To verify a theoretical analysis procedure for calculation of the hull girder response of ships running aground, a series of large-scale ship grounding experiments was performed on an artificial island made of engineered fill. The tests were conducted by running a condemned fishing vessel up on selected beaches of the island with velocities ranging between 2m/s and 5.5m/s. During the tests, surge, heave, and pitch accelerations were measured and also the deformations of the beach and the ship bow. Based on these accelerations, rigid body velocities and motions were determined. The forces arising from the interaction between the bow of the vessel and the seabed were determined by solving the equations of motions. This article describes the analysis of the measured results and a comparison of the results from the full-scale measurements with results from a recently developed analysis procedure for grounding on soft bottoms. Presented at the International Conference on Technology for Marine Environment Preservation (MARIENV '95), Tokyo, Japan, September 24–29, 1995.     

柔性、刚性球艏对双壳舷侧结构耐撞性能影响的研究

采用非线性显示动力有限元软件LS_DYNA,对舷侧双壳结构在柔性和刚性球艏撞击下的动力响应进行仿真研究。采用全船有限元模型,考虑船体周围附连水质量对结构动力响应的影响。给出了碰撞力—撞深、能量—撞深曲线以及各构件吸收的能量。仿真结果表明：不同球艏撞击下舷侧内外壳板的破裂时刻、撞深和舷侧结构变形性能都有所不同。     

An approach to estimating the hull girder response of a ship due to springing

This article describes an estimation method for the hull girder response of a ship due to springing. The linear and nonlinear springing effects on the hull girder are evaluated. Previous studies on the springing response focused mainly on the symmetric response, or vertical response. In this article, however, the springing analysis is extended to asymmetric responses, or horizontal and torsional responses. The Timoshenko beam model was used to calculate the hull girder response and the quadratic strip method was employed to calculate hydrodynamic forces and moments on the hull. To remove irregular frequencies, a rigid lid was adopted on the hull free surface level and hydrodynamic coefficients were interpolated for asymptotic values. Applications to two ships for the symmetric and asymmetric responses were carried out and the effect of springing responses is also discussed.     

减小船体艉部振动的动力吸振器研究

采用有限元法研究了动力吸振器减小船体梁结构谐波振动响应的有效性。在本文研究中利用由文献[1]给出的最优调谐参数,采用直接法计算谐波激励下船体结构的频率响应特征。本文分析了动力吸振器三种不同配置的情况,用来研究它们对减小船体谐波响应的敏感性和适用性,为动力吸振器的实船应用提供了理论依据。     

船舶多自由度斜航运动水动力数值研究

计及多自由度运动的船舶斜航水动力预报对船舶航行安全具有重要意义。文章通过耦合求解船舶运动方程和雷诺平均N-S方程,并采用VOF方法和高精度自由面捕捉技术对作多自由度斜航运动船舶的粘性绕流场进行数值模拟。船舶动态平衡位置根据计算出的力和力矩来决定,得到包括升沉、纵倾和横倾在内的船舶浮态。文中采用的算例与爱荷华大学进行的模型试验相同,通过比较数值计算结果和试验值验证了该方法的有效性。对船模在受约束和自由运动两种状态下的船舶运动和流场进行模拟,通过比较分析船舶升沉、纵倾和横倾的影响。文中计算获得的详细流场细节特征,包括前体和舭部的涡以及船体表面上的压力,有助于理解船舶斜航运动浮态变化的机理。     

Verification of a simplified analytical method for predictions of ship groundings over large contact surfaces by numerical simulations

In this paper, a verification is presented of a simplified analytical method for the predictions from numerical simulations of structural performance during ship groundings over seabed obstacles with large contact surfaces and trapezoidal cross-section. This simplified analytical method was developed by Lin Hong and Jørgen Amdahl and calculates grounding characteristics, such as resistance and distortion energy, for double-bottomed ships in shoal grounding accidents. Two finite-element models are presented. One was built for a hold, and the other was built for a hold and a ship hull girder and also considers sectional properties, ship mass, added mass and the hydrodynamic restoring force. The verification was completed by comparing horizontal and vertical resistances and the distortion energy between seven numerical-simulation cases and a set of corresponding cases computed by a simplified analytical method. The results show that the resistances obtained by the simplified analytical method are close to the mean values of the resistance curves obtained by numerical simulations. The comparisons prove that the energy dissipation-prediction capability of the simplified analytical method is valuable. Thus, the simplified analytical method is feasible for assessing ship groundings over seabed obstacles with large contact surfaces and trapezoidal cross-section. Furthermore, studies of the influence of ship motion during groundings ascertained that ship motion affects structural performance characteristics. Resistances are lessened at the end of the grounding due to the reduction of indentations caused by heave and pitch motions of the ship hull girder. Finally, a new method for predicting the structural performance of the time-consuming complete-ship model by applying a combination of normal numerical simulations and ship-motion calculations is proposed and proven.     

水下爆炸气泡载荷作用下船体梁的动态水弹性响应

文章基于势流理论,针对水下爆炸气泡脉动载荷作用下船体梁的动态水弹性鞭状响应及其共振效应进行了研究。阐述了水下爆炸气泡与船体梁之间的流固耦合理论分析,并分别建立了一个考虑气泡迁移,自由面效应和气泡阻力的气泡模型和一个船体梁的弹性响应的计算模型。文中以两条实船作为算例,研究了刚体运动对船体梁弹性振动响应的影响,分析了船体梁在气泡脉动载荷作用下产生的共振破坏的机理。     

船舶气囊下水安全性评估方法研究

气囊下水是船舶下水的一种创新方式,但是气囊下水过程中船体强度和气囊的安全性还没有定量的计算方法.近年采用气囊下水的船舶重量不断增大,下水安全性问题日益突出.本文考虑气囊刚度的非线性、下水过程中船体的力平衡条件等,提出了一种基于全船结构有限元分析的船体结构和气囊安全性评估方法.研究的内容和结果是紧密结合工程实际的.(1)考虑气囊压缩变形的非线性,研究了一种预报气囊刚度的有效方法;(2)基于弹性下水理论,研究了一种考虑弹性基座刚度非线性变化的船体梁运动和受力的计算方法;(3)提出了直接采用全船结构有限元分析计算船体结构应力和气囊受力的方法;(4)对某型实船进行了气囊下水的安全性分析,并与文献的结果进行比较,验证了气囊下水工艺的优越性和本文建议方法的准确性.     

Dynamic response of a surface ship structure subjected to an underwater explosion bubble

Bubble load in a noncontact underwater explosion can cause the ship hull global response and local response. In current literature, the ship hull is usually simplified as a hull girder to analyze its global response. However, literature dealt with the local response of a 3-D surface ship hull subjected to an underwater bubble were limited. This investigation develops a procedure which couples the finite element method with doubly asymptotic approximation (DAA) method to study the problem of transient responses of a ship hull structure subjected to an underwater explosion bubble. Using a 3-D ship model as examples, the global and local responses of the ship model in vertical, transverse and longitudinal directions are performed in detail. The acceleration, velocity and displacement time histories are presented. The characteristics of both the global and local responses of the ship model are discussed. The numerical results show that besides global whipping response, the ship hull also sustains severe local responses in different directions subjected to underwater explosion bubble jetting, which should be taken into consideration.     

Understanding ship-grounding events

The paper presents a simple procedure to estimate the damage to a ship bottom and the associated seabed topology that results from a dynamic grounding event. The seabed is modeled as a rigid body and parameterized by a quadratic surface, i.e., a paraboloid, which can in principle model a wide range of seabed topologies. A nonlinear finite element program (LS-DYNA) is used to simulate the contact force versus the lateral penetration, from which the horizontal force component of powered grounding is estimated. The simplified procedure for analyzing dynamic and static grounding events is outlined. Simulations are performed for different ship speeds and for different initial levels of obstruction over the keel. It is shown that a static approach may replace the dynamic grounding simulation, thereby considerably reducing the computational work. The static approach allows for the quick estimation of the energy absorption during powered grounding, which is imperative for decision making during critical situations. The ultimate goal of the study is to provide a near real-time prediction of the risk of rupture of the cargo tanks and hull girder failure. Moreover, the residual strength of damaged ships is an important issue that is related to operations involved in the salvage of wrecked vessels, such as re-floatation and towing.     

On the global ship hull bending energy in ship collisions

During ship collisions part of the kinetic energy of the involved vessels immediately prior to contact is absorbed as energy dissipated by crushing of the hull structures, by friction and by elastic energy. The purpose of this report is to present an estimate of the elastic energy that can be stored in elastic hull vibrations during a ship collision.When a ship side is strengthened in order to improve the crashworthiness it has been argued in the scientific literature that a non-trivial part of the energy released for structural deformation during the collision can be absorbed as elastic energy in global ship hull vibrations, such that with strong ship sides less energy has to be spent in crushing of the striking ship bow and/or the struck ship side.In normal ship–ship collision analyses both the striking and struck ship are usually considered as rigid bodies where structural crushing is confined to the impact location and where local and global bending vibration modes are neglected. That is, the structural deformation problem is considered quasi-static. In this paper a simple uniform free–free beam model is presented for estimating the energy transported into the global bending vibrations of the struck ship hull during ship–ship collisions. The striking ship is still considered as a rigid body. The local interaction between the two ships is modeled by a linear load–deflection relation.The analysis results for a simplified model of a struck coaster and of a large tanker show that the elastic energy absorbed by the struck ship normally is small and varies from 1 to 6% of the energy released for crushing. The energy stored as elastic global hull girder vibrations depends on the ship mass, the local stiffness of the side structure, and of the position of contact. The results also show that in case of highly strengthened ship sides the maximum global bending strains during collisions can lead to hull failure.     

自由面和岸壁对限制航道中船舶操纵性水动力的影响

本文在二阶抛物面离散后的船体表面单元上布置强度呈线性分布的Rankine源，在离散后的岸壁单元上和用贴体网格法离散船体附近自由面的单元上布置均匀Rankine源，在船体中纵面上布置强度在水深方向呈阶梯变化的附着涡线．计算了考虑自由而影响下船舶平行于岸壁航行时的水动力，还着重讨论了自由面和岸壁对限制航道中船舶水动力的影响．     

船舶水动力性能的数值优化集成系统研究

通过一艘船球首优化的算例,介绍了一种船舶水动力性能数值优化集成系统。可在船舶设计的初期阶段进行主尺度组合优化和船体曲面的优化。采用该优化集成系统,可有效缩短设计周期、大幅降低成本、效率大大提高。     

A comparison of hydrodynamic impacts prediction methods with two dimensional drop test data

The effect of hydrodynamic impacts on a ship's bow structure is an important design consideration. In addition, to possible failure to local structure, such impacts can generate slam-induced whipping loads, the magnitude of which when combined with ordinary wave induced loads, could lead to first passage failure of a ship's hull girder. This paper presents the results of a recent study that compares select methods of predicting hydrodynamic impacts with available test data of 2-D wedge shaped section shapes. Results based on peak pressures at different impact velocities are presented. The results are compared with traditional prediction theories of Wagner and Chuang.     

浸没在水中的海洋运载器数值模拟研究（英文）

This article presents a numerical study of the forces induced by hydrodynamic impact, that is, the impact of a part of the bottom of the hull on the water surface. The prediction of these efforts is often based on numerical simulations to determine the shock intensity of a structure on the surface of a weakly compressible fluid(for example, water). The short duration of the impact is also investigated in this work. This phenomenon occurs especially when a ship encounters a harsh and difficult sea conditions. Under such conditions, it is important to know how to predict the hydrodynamic forces applied to the structure to correctly optimize the ship elements during its design stage or to prevent possible damage. Indeed, various factors such as speed of the ship and height of the swell can cause the hull to partially emerge and then fall violently onto the water surface, which is referred to by naval personnel as tossing or slamming causing vibrations, stresses, and fatigue to the structural elements of the ship. In this work, we present an example of phenomenon modeling and then a numerical study of the different geometries(dihedron) that play a role in different sections of the bow. Then, we compare our present results with the theoretical and experimental results of other researchers in the field. The average interval impact time for a dihedral model corresponding to the section of the chosen ship and other experimental and theoretical data is in good agreement with the experimental and theoretical measurements.     

40000dwt散货船设计阶段船体振动分析控制

在40 000 dwt灵便型散货船设计建造过程中,为了控制船体出现的有害振动,对船体总体振动、上层建筑总体振动及船体艉部局部结构进行了振动预报分析.对船体总体振动和上层建筑总体振动进行分析,避免与主机和螺旋桨激励发生共振;对于船舶艉部结构,重点关注上层建筑各层甲板工作和生活等重要区域的振动情况,采用结构有限元法分析各层甲板的振动特性,设计时通过调整局部结构刚度并保证一定频率储备来避免共振,为船体结构减振设计提供依据.本文给出了设计阶段船舶总体、上层建筑总体及局部结构振动计算分析方法和过程,可对船舶设计者提供有益的参考.     

排水型船外飘砰击和甲板淹湿的经验估算方法（英文）

The paper presents an empirical method to calculate bow flare slamming pressure and the green water load. Many empirical formulae for various types of vessels have been provided by rules of ship classification societies. In the present work, attempt is made to develop generalized formulations for all types of displacement vessels. Extreme sea conditions are considered. Bow flare pressure is derived in terms of flare and waterline angles. Specific condition for limiting waterline angle is derived based on 2 D numerical simulations. Deck wetness is derived in terms of static and dynamic swell-up and the relative motion. Variation of static swell along the length is determined based on potential solution based analyses considering variation in vessels' hull. 2 D wedge simulations are carried out to validate the formulation of dynamic swell-up. Results of the calculated bow flare and deck pressures are compared with various ship classification society formulations and the trends are found to be in good agreement in general barring at bow flare where lower pressure is found in most of the presented cases. Also IACS UR S21 A(2018) governing minimum pressure for deck scantlings is found to be conservative in few of the presented cases. Although scantlings assessment is not performed, the presented new formulations may help in realistic assessment of scantlings.     

Fatigue damage calculation for oil tanker and container ship structures

The fatigue behaviour of longitudinal stiffeners of oil tankers and container ships, subjected to dynamic loads, is analysed. The following dynamic load components are considered: hull girder vertical wave bending moment, alone and combined with the horizontal wave bending moment, hydrodynamic pressure and inertial forces caused by cargo acceleration.

The spectral method was selected to calculate the fatigue damage, based on S—N curves and Miner's rule. Following this approach, the fatigue damage may be calculated as a function of a stress parameter Ω_p, which represents the cumulative effect of wave induced loads in the unit of time and incorporates the combined effects of stress level and its occurring frequency.

Simple formulas for Ω_p of oil tankers and container ships are given, obtained from the results of hydrodynamic analyses performed on several ships, in different wave environments.

Several examples show the applicability of the methods to real ship structures. The method, however, still needs to be calibrated because of the simplifying hypotheses introduced in the loading conditions.     

Parametric dependencies of the post-ultimate strength behavior of a ship’s hull girder in waves

To rationally assess the consequence of a ship’s hull girder collapse, it is necessary to know the post-ultimate strength behavior of the hull girder including the global deformation and motions under extreme wave-induced loads. In the foregoing research, the authors proposed a numerical analysis system to predict the collapse behavior in waves including the post-ultimate strength behavior. The primary objective of the present paper is to clarify the parametric dependencies of the severity of the collapse in a rational manner. The parameters may include those related to load-carrying capacity and the extreme loads. To this end, an analytical solution to describe the post-ultimate strength behavior is derived. Assuming that a plastic hinge is formed at the midship during the collapse procedure, the whole ship is modeled as a two-rigid-bodies system connected to each other amidship via a nonlinear rotational spring, which represents the nonlinear relationship between the bending moment and the rotational angle. The relationship may be modeled as piece-wise linear curves. It is further assumed that large motions and elastic/plastic deformations of the hull girder may not affect the load evaluations, and that the hull girder is subjected to a large single wave. Some important parameters to predict the severity of the collapse are specified based on the analytical solution.