Two- and three-dimensional hydroelastic modelling of a bulker in regular waves

The relatively high rates of bulk carrier casualties in recent years, as well as structural features such as large deck openings, make this vessel type a suitable example for investigating the influence of hydroelastic modelling on predicting wave-induced loads and responses. Two- and three-dimensional fluid–flexible structure interaction models, due to their different degree of complexity and associated data requirements, can be used at different stages of the design process when estimating wave-induced loads, namely preliminary and detailed design stages, respectively.

In this paper, therefore, two- and three-dimensional hydroelasticity theories are applied to predict and compare the dynamic behaviour of a bulk carrier hull, based on OBO MV Derbyshire, in waves. Both symmetric and antisymmetric motions and distortions are incorporated in these investigations. The three-dimensional structural model consists entirely of shell finite elements, representing all major external and internal structural components, whilst the two-dimensional model is generated using Timoshenko beam finite element and finite difference discretisations. Issues relevant to the structural modelling stage, for both idealisations, are discussed. The in vacuo dynamic characteristics are compared for all models, with particular emphasis on the influence of hatch openings, shear centre and warping on the antisymmetric dynamics of the structure. For the wet analysis the fluid–flexible structure interaction is carried out using two-dimensional (Timoshenko beam and strip theory) and three-dimensional (beam and shell finite element idealisations combined with potential flow analysis based on pulsating source distribution over the mean wetted surface) analyses. Comparisons are made between steady-state responses predicted by two- and three-dimensional models in bow quartering regular waves.

It is shown that whereas the predicted symmetric dynamic responses obtained from two- and three-dimensional models are in good agreement, differences are observed for the antisymmetric dynamic characteristics. It is thought that this may be due to inadequacies in the beam models employed when simulating the global dynamic behaviour of this highly non-prismatic hull girder whilst allowing for the effects of warping.     

弹性船体波激响应时域过程的数值模拟

本文从入射波的波浪现实出发，用非线性水弹性积分─微分法进行船体运动和结构动响应的时间历程模拟，直接将试验测量结果与理论计算在时域内作比较，这有利于揭示砰击和上浪等非线性瞬态作用导致冲荡响应的力学机理。这种模拟及其验证方法避免了对理论和试验结果的统计特性进行比较时，因子样长度的限制和数据处理过程所带来的不确定性，比峰值比较更能说明波激响应数学模型的精确性和可靠性。     

基于一个二维修正水弹性方法的集装箱船体梁动态前极限强度评估研究

海上极端波因其巨大的波高常常导致船体的极限破坏。该文提出了一个二维的修正水弹性方法来研究一个集装箱船船体梁在极端波中的动态前极限强度。传统的极限强度评估基于准静态方法,没有动态效应被考虑。而船体在波浪下的动态结构响应是基于水弹性方法,传统的水弹性方法并不能计算船体梁的动态非线性强度。该二维修正的水弹性方法考虑时域波浪和非线性船体梁之间的耦合,将水弹性方法和Smith方法结合,用Smith方法计算船体梁的刚度,而其刚度与船体梁的强度和变形曲率有关。所以该时域的非线性刚度被用于修改水弹性方法里的常数项的结构梁刚度。几组极端波模型被用以产生船体梁的大变形和非线性动态垂向弯矩。文中分别采用修正水弹性方法和普通水弹性方法,通过改变四个重要的极端波参数如极端波最大波高、规则波的波高、波速和波长等来研究其对船体梁船中处的大变形转角和非线性垂向弯矩的影响,通过采用修正的水弹性方法计算得来的结果与水弹性方法计算得来的结果相比较,得到了一些差异和结论。     

基于不同试验方法和非线性水弹性时域理论的鞭振弹振响应研究

船体主尺度增大会导致严重的鞭振和弹振现象,这会增大船体结构的极限载荷和疲劳损伤.为了深入探究船体的振动响应,文中在拖曳水池对某万箱集装箱船分别进行了分段模型的自航和拖航试验.分析了不同海况下自航和拖航这两种试验方式对鞭振和弹振响应的影响.为计及不同振动频率成分对载荷响应的影响,提出一种考虑波浪记忆效应的非线性水弹性方法.文中提出了一种求解延时函数的方法,能够解决高频区域的阻尼系数的计算限制.最后,船舯弯矩试验结果分别和线性与非线性理论结果进行了比较,发现文中提出的非线性方法能够更好地预报弹性船体的振动响应.     

水弹性力学在SWATH船体结构振动响应分析中的应用研究

文章以三维水弹性力学理论为基础,对小水线面双体船的船体振动响应特性进行了分析,预报了该船体在航行时受发电机激励下的振动响应,并与实船测量结果进行了对比,结论表明三维水弹性力学方法在船体受机械激励作用下对于船体振动响应的预报是有效的,可应用于工程设计。     

基于模型试验与三维水弹性理论的船舶波激振动响应研究

船体波激振动使得船体结构中产生高频、持续和具有一定幅值的振动应力,可能引起结构发生严重的疲劳损伤,因而对船舶结构的安全性带来严峻的挑战。文章以一艘大型LNG船为研究对象,采用三维线性水弹性理论与水池模型试验方法对船舶波激振动响应进行了比较分析,研究了规则波与不规则波中的波激振动特性。改变该LNG船的刚度,并保持船型、重量分布等其它主船体特征不变,在模型试验和理论计算中探讨了刚度对波激振动的影响。通过两种刚度船体梁的模型试验与理论计算结果的比较分析,给出了波浪周期和船体刚度的变化对波激振动影响的几点结论。     

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.     

集装箱船整船有限元结构分析

文章以一艘１７００箱集装箱船为例,阐述了整船有限元结构分析方法。先建立全船有限元模型和质量模型,再用三维流体动力计算程序进行波浪随机载荷的长期预报,并在此基础上导出设计波参数组,最后,在全船有限元模型上 计算得出船体结构在各个设计波上的应力分布和变形结果,所得到的船体结构有限元分析结果对同类型集装箱船的设计和强度分析有一定的参考价值,对其它类型的船舶结构强度分析也有一定的借鉴意义。     

Prediction of the vibratory properties of ship models with realistic structural configurations produced using additive manufacturing

The use of flexible ship models to determine the dynamic behaviour of full-scale ships in waves and to compare the accuracy of numerical predictions has increased in the past few years. Segments attached to a flexible uniform backbone of suitable but simple cross section is the preferred solution. Although such models are relatively easy to manufacture with conventional processes, they do not represent accurately the structural detail, for example, of a container ship. The limitations of conventional manufacturing constraints can be potentially overcome by use of modern technologies such as additive manufacturing. Designing detailed elastic ship models requires the determination of dynamic material properties, in addition to the manufacturer mechanical properties.In this investigation, a detailed but easy-to-implement method is developed, and applied to a uniform container ship-like model, to identify the material properties that are relevant to the calculation of the natural frequencies of 3D printed thin-walled structures. It is demonstrated that modal testing of 3D printed specimens, combined with FEAmodelling, can be used to accurately predict the natural frequencies of much more complex thin-walled structures. This method allows investigators to acquire all information necessary during the design stage of 3D printed structures without having to resort to full material characterisation.     

小水线面双体船波浪载荷水弹性分析

三维水弹性力学将结构分析的有限元方法与围绕柔性体的势流理论结合起来,为在波浪中航行或驻立的复杂结构的运动和内力分析提供了一个流固耦合的统一分析方法,也为小水线面双体船的分析提供了有效的分析工具.文中将水弹性力学方法和谱分析方法相结合,对1 100吨SWATH船进行波浪载荷预报,并将计算结果与水池模型试验数据及国外相关资料进行了对比,说明了水弹性分析方法对于SWATH设计的合理性.     

船舶坞墩下水的结构分析及优化

建立全船有限元模型,模拟船舶船坞下水过程,对下水过程中的船体结构变形、坞墩支反力及船体结构强度进行校核。结果表明,艉部局部区域应力和坞墩支反力超衡准,存在破损风险。对艉部局部区域进行结构加强,对坞墩布置方案进行优化,对结构硬点进行消除,实现优化应力分布和均衡坞墩受力,可确保船舶下水过程中的船体及支撑系统安全。     

结构刚度变化对船舶水弹性响应的影响

水弹性力学是研究水动力、惯性力和弹性力之间相互作用的力学分支。本文利用三维线性频域水弹性程序计算了某船在单位幅值正弦规则波中的水弹性响应 ,在结构质量分布不变的前提条件下 ,研究了结构刚度变化对结构水弹性响应的影响 ,得到了一些很有价值的结论。     

Hydroelasticity of large container ships

The importance of hydroelastic analysis of large and flexible container ships of today is pointed out for structure design. A methodology for investigation of this challenging phenomenon is drawn up and a mathematical model is worked out. It includes the definition of ship geometry, mass parameters, structure stiffness, and combines ship hydrostatics, hydrodynamics, wave load, ship motion and vibrations. The modal superposition method is employed. Based on the presented theory, a computer program is developed and applied for hydroelastic analysis of a large container ship. The transfer functions for heave, pitch, roll, vertical and horizontal bending and torsion are presented. Rigid body and elastic responses are correlated.     

大开口船波浪载荷长期预报和弯扭强度整船有限元分析

大开口船全船弯扭联合变形与应力的精确计算，必须在整船结构模型上完成。本文以一艘5万吨级大开口船为例，用三维流体动力计算程序进行了波浪随机载荷的长期预报，并在此基础上导出设计波参数组，进而在全船整体结构有限元模型上计算了船体结构在各设计波上的应力分布，并采用嵌入精细舱口角区有限元网络的方法，在整船分析的同时计算出舱口角的应力集中值，获得了船体结构强度的详尽信息。文中阐述了波浪载荷的特点，设计波的确定，浮体完整结构计算的惯性平衡及大开口船的全船计算方法。     

破损船体非对称弯曲极限强度分析及可靠性评估

在船体发生破损后,其剩余有效剖面是非对称的,船体还可能倾斜。本文首先对破损船体非对称弯曲进行了弹性和塑性分析,在此基础上假设了破损船体发生整体破坏时的剖面应力分布,给出了破损船体非对称弯曲极限强度分析方法,并采用了比较精细的方法计算加筋板格的屈曲极限强度。以箱型梁模型和超大型油船为例,将本文的计算结果与试验、ＩＳＵＭ法及解析公式的结果进行了比较。基于破损船体极限强度,结合重要性样本法,对６５,００     

Dynamics of ships running aground

A comprehensive dynamic model is presented for analysis of the transient loads and responses of the hull girder of ships running aground on relatively plane sand, gravel, or rock sea bottoms. Depending on the seabed soil characteristics and the geometry of the ship bow, the bow will plow into the seabed to some extent. The soil forces are determined by a mathematical model based on a theory for frictional soils in rupture and dynamic equilibrium of the fluid phase in the saturated soil. The hydrodynamic pressure forces acting on the decelerated ship hull are determined by taking into account the effect of shallow water. Hydrodynamic memory effects on the transient hull motions are modeled by application of an impulse response technique. The ship hull is modeled as an elastic beam to determine the structural response in the form of flexural and longitudinal stress waves caused by the transient ground reaction and hydrodynamic forces. A number of numerical analysis results are presented for a VLCC running aground. The results include bow trajectory in the seabed, time variation of the grounding force, and the maximum values of the sectional shear forces and bending moments in the hull girder.     

Experimental and numerical study of containership responses in severe head seas

An accurate determination of the global load effects in a ship is vital for the design of the vessel. This paper addresses an experimental and numerical study of containership responses in severe head seas. Experimental results were obtained using a flexible model of a containership of newer design. The experiments showed that, taking hull flexibility into account, the fourth and sixth harmonic of the vertical bending moments had a maximum value of between 25% and 50% of the first harmonic. We also demonstrated that hull flexibility can increase the vertical bending moment by up to 35% in sea states relevant for design. Comparisons of moments found experimentally with results from a nonlinear hydroelastic strip theory method showed that the effect of nonlinearities on the rigid body moments was slightly over-predicted in the aft body. The method also tends to over-predict the increase of the bending moments due to hull flexibility. In general however, the numerical results compared reasonably well with the experimental ones.     

6750箱集装箱船非线性波激振动和颤振响应分析

本文采用三维时域非线性水弹性方法分析了一艘6750箱集装箱船的水弹性响应以及运动和垂向弯矩特征。通过考虑入射波力、静水恢复力、砰击效应的非线性,研究了在恶劣海况下船体的非线性运动和垂向弯矩响应,同时分析了波激振动及颤振对垂向弯矩的影响。数值计算结果表明:(1)非线性入射波力对运动的影响较小,但是对垂向弯矩的影响较大,使得其有明显的倍频成分,同时中垂弯矩显著大于中拱弯矩。另外,非线性入射波力也引起了明显的非线性波激振动;(2)非线性静水恢复力对运动和载荷的影响均较大,但是没有引起明显的非线性响应。非线性计算的垂荡响应小于线性结果,而纵摇和垂向弯矩响应大于线性结果;(3)砰击效应对运动的影响较小,但对垂向弯矩的影响较大,砰击效应引起了显著的船体弹性高频振动,增大了载荷幅值,但是其引起的合成中垂和中拱幅值相差不大;(4)非线性水动力的作用主要引起垂向弯矩的倍频响应,包括倍频可能引起的二节点垂向弯矩弹性共振,而砰击效应主要引起船体二节点垂向弯矩共振;(5)本文的非线性水弹性响应计算结果与Kim给出的数值计算结果吻合很好。     

波浪作用下带式舟桥的水弹性响应研究

对于设计和使用在波浪和流作用下作业的浮桥,充分了解其水弹性性能尤为重要.就在国防和桥梁工程中极为重要的带式舟桥而言,预报其在波浪中的水弹性响应在实际工程中就显得十分必要.该文主要研究带式舟桥在波浪作用下的水弹性性能.首先,简要地介绍了预报浮桥动力响应的不同方法及它们与试验比较的结果;其次,在三维水弹性理论的基础上采用模态叠加法对带式舟桥的有限元模型进行了水弹性分析,同时与十分之一模型试验结果做了比较(该试验由上海交通大学海洋工程国家重点实验室承担).研究表明,文中的方法计算分析波浪中浮桥的水弹性响应是可行的.     

增压锅炉冲击响应计算研究

增压锅炉作为船体内较为重要的设备之一,其抗冲击性能直接关系到舰船的生命力和战斗力。论文基于ABAUQS软件Dynamic/Explicit模块,用船体-设备一体化和非一体化两种分析方法对增压锅炉进行水下爆炸载荷作用下冲击响应进行时域分析。非一体化分析时设备载荷输入来自一体化分析设备基座的响应结果,经过BV规范的方法转换成的等效加速度三角波。设备-船体一体化分析和非一体化分析的增压锅炉响应对比分析结果表明非一体化分析时设备的响应偏小,用于分析设备的抗冲击能力偏于危险,建议采用舰船-设备一体化分析方法对舰船设备进行抗冲击能力分析。