支撑条件对浮动式厚弹性板水弹性行为的影响分析（英文）

The hydroelastic response of very large floating structures(VLFS) under the action of ocean waves is analysed considering the small amplitude wave theory. The very large floating structure is modelled as a floating thick elastic plate based on TimoshenkoMindlin plate theory, and the analysis for the hydroelastic response is performed considering different edge boundary conditions.The numerical study is performed to analyse the wave reflection and transmission characteristics of the floating plate under the influence of different support conditions using eigenfunction expansion method along with the orthogonal mode-coupling relation in the case of finite water depth. Further, the analysis is extended for shallow water depth, and the continuity of energy and mass flux is applied along the edges of the plate to obtain the solution for the problem. The hydroelastic behaviour in terms of reflection and transmission coefficients, plate deflection, strain, bending moment and shear force of the floating thick elastic plate with support conditions is analysed and compared for finite and shallow water depth. The study reveals an interesting aspect in the analysis of thick floating elastic plate with support condition due to the presence of the rotary inertia and transverse shear deformation. The present study will be helpful for the design and analysis of the VLFS in the case of finite and shallow water depth.     

Fluid-structure-material coupling analysis for a floating laminated structure consisting of high-stiffness panels and a soft core

This paper presents a fluid-structure-material coupling analysis for the interaction between water waves and a very large floating laminated structure (VLFLS), which is consisted of two enhanced ultrahigh-performance concrete (UHPC) panels and a middle lightweight foamed rubber core. The representative volume element (RVE) method is used to design the mechanical properties of enhanced UHPC and foamed rubber, and the parameterized formulas are presented to reveal the dependency between macroscale mechanical properties and mesoscale hierarchical characteristics. By idealizing the rubber core as a uniformly distributed spring layer, an eighth-order differential equation of motion of the laminated structure is derived. In the context of linear potential flow theory, a hydroelastic analytical model is developed for the floating laminated structure with finite length under wave action. In the process of solving velocity potentials, a complicated dispersion equation for the wave motion below the laminated structure is derived, and this equation contains two pairs of conjugate complex roots with positive real parts. The various hydrodynamic quantities, including reflection coefficient, transmission coefficient, deflection, shear force, and bending moment, are calculated. The hydroelastic model is confirmed by considering the convergence of calculation results and the energy conservation of wave propagation. The coupled effects of wave action, material characteristics, structural parameters, and edge conditions on the hydroelastic and mechanical response of the floating laminated structure are clarified to provide important information regarding the optimal design of such structures.     

On maximum forces exerted by floating ice on a structure due to constrained thermal expansion of ice

The problem of interaction between a floating ice cover and an engineering structure is considered, in which the ice–structure contact forces are caused by an increase in ice temperature due to solar radiation in situations, when the lateral thermal expansion of ice is constrained. The focus is on the determination of the maximum thermally-induced horizontal force exerted on a structure wall, assuming that the magnitude of this force is bound by the smallest force capable of fracturing the ice cover due to its buckling. The ice cover is modelled as a rectangular plate of uniform thickness, with its four edges being constrained by vertical rigid walls, and it is assumed that ice deforms, and eventually fails, by the mechanism of viscous creep buckling. The plate is subjected to in-plane axial compressive stresses developing in ice to prevent its thermal expansion due to solar heating, and is transversely (vertically) bent by the forces caused by the reaction of underlying water. The floating ice is treated as a material whose elastic and viscous properties depend on temperature and the ice porosity, and therefore they vary with time and the depth of ice. The results of numerical simulations, conducted for a variety of the ice plate horizontal dimensions, thicknesses and daytime temperature-change scenarios, illustrate the evolution of the plate deflection surface prior to its failure, and show the time variation of the maximum forces exerted by ice on a structure wall as functions of the ice thickness and maximum daytime temperature rise at the top surface of ice.     

Simplified estimation for the dynamic behavior and reliability analysis of very large floating structures under wave-induced loads

This paper deals with the dynamic response and strength of very large floating structures (VLFS) in regular and irregular waves, considering the propagation of the hydroelastic deflection wave of the structure. First, a simplified estimation method is presented for the dynamic response and strength of the structure in regular waves. Then, the validity of the method is demonstrated by comparing its results with analytical results and experimental results for a mat-type floating structure model. Next, a simplified estimation method for dynamic responses under long crested irregular wave conditions is presented by using the above results and by combining them with irregular sea wave spectra. Finally, the applicability of the method is investigated through numerical examples carried out for a 4,800-m class VLFS under trial design. Characteristics of the hydroelastic waves, short-term responses, and reliability levels are numerically identified. Received for publication on April 14, 1999; accepted on Sept. 10, 1999     

A B-spline Galerkin scheme for calculating the hydroelastic response of a very large floating structure in waves

This paper presents an effective scheme for computing the wave-induced hydroelastic response of a very large floating structure, and a validation of its usefulness. The calculation scheme developed is based on the pressure-distribution method of expressing the disturbance caused by a structure, and on the mode-expansion method for hydroelastic deflection with the superposition of orthogonal mode functions. The scheme uses bi-cubic B-spline functions to represent unknown pressures, and the Galerkin method to satisfy the body boundary conditions. Various numerical checks confirm that the computed results are extremely accurate, require relatively little computational time, and contain few unknowns, even in the region of very short wavelengths. Measurements of the vertical deflections in both head and oblique waves of relatively long wavelength are in good agreement with the computed results. Numerical examples using shorter wavelengths reveal that the hydroelastic deflection does not necessarily become negligible as the wavelength of incident waves decreases. The effects of finite water depth and incident wave angle are also discussed.     

舰船船底破损后的外载荷和应力研究

以某舰船为例,用符拉索夫法计算了鱼雷在舰船底部非接触爆炸使舰体结构产生破损后由于进水引起的浮态和载荷变化,给出了鱼雷命中破损后波浪弯矩随不同破损部位、不同进水体积的变化规律。在此基础上计算了鱼雷爆炸使舰体结构产生破损后的应力。研究指出,计算破损舰船结构应力时必须同时考虑破损使结构承载力大大下降和由于进水引起的浮态和载荷变化对舰艇生命力的影响。舰体结构的正应力和剪应力都随着进水体积的增大而增大,鱼雷最危险的命中位置是船中和剪力最大处。研究对舰船生命力的评估有重要意义。     

Numerical calculation method for the hydroelastic response of a pontoon-type very large floating structure close to a breakwater

This paper presents an effective scheme for calculating the wave-induced hydroelastic response of a pontoon-type very large floating structure (VLFS) when it is near a breakwater. The basic numerical calculation method is the one previously developed by the same author for a VLFS in the open sea (no breakwater), which is expanded to include the effect of the hydrodynamic mutual interaction between the breakwater and the floating structure. The efficiency and accuracy of the proposed method are validated through comparisons with other numerical results and with existing experimental results. After that confirmation, various numerical calculations were conducted, paying special attention to the resonance phenomena which will occur depending on the relation between the wavelength and the clearance between the breakwater and the floating structure. The irregular frequency phenomenon which appears in the calculation of the fluid dynamic problem is discussed in the appendices, including a method for its elimination. Received: October 31, 2000 / Accepted: December 19, 2000     

高速船复合材料层合板非线性动力失稳分析

对高速船复合材料层合板在轴向线性增长载荷作用下的非线性动力失稳进行了研究。基于极的大挠度基本假设,导出四边简支矩形层合板的非线性动力方程及变形及协调方程;用级数展开把非线性偏微分方程组化为易于求解的Kronecker内积形式的二阶常微分方程组,并由四阶Runge-kutta法数值求解,讨论了加载速率对复合材料层合板动力失稳的影响。由于本文在方程求解中采用了Kronecker内积,故提高了解的精度及效率。     

A consideration of the structural design of a large-scale floating structure

The land area of Japan, especially flat land, is very small compared with its economic size. Large-scale floating structures are one solution to satisfy the demand for space by utilizing the ocean. This paper presents a general view of the dynamic response characteristics of large-scale floating structures, pontoons and semi-submersibles. For example, it is shown that the natural frequencies of eigenmodes are higher than the natural frequency of heaving motion. The response of the outer framework of a structure is shown to be generally larger than the response of the central part. Within the limits of our present understanding of the general dynamic response characteristics of such structures, the design and analysis of semi-submersible, large-scale floating structures is discussed. For a pontoon-type large-scale floating structure, a type whose perimeter structure has been modified to become lighter and more rigid is proposed. With this modification, the dynamic response of the whole structure is imporved.     

大型邮船房舱门窗开口结构的起浮过程变形监测

为排除大型邮船房舱门窗开口结构发生变形的可能性，需要开展变形监测。在大型邮船船体结构完工后的全船起浮过程中，运用高精度激光跟踪仪，对房舱门窗开口结构进行起浮过程变形监测。测量并收集起浮过程不同阶段的房舱门窗开口结构三维坐标数据，经分析对比，掌握房舱门窗开口结构起浮过程变形情况，为大型邮船的结构设计和建造的可靠性与安全性提供数据支撑。     

Flexible riser-bend stiffener top connection analytical model with I-tube

The flexible riser top connection to the floating unit is a critical region considering extreme loading and fatigue lifetime assessment and is generally protected by a bend stiffener to limit the curvature in this region. The top connection usually interface the floating unit with two main configurations: i) end-fitting and bend stiffener directly connected to a riser balcony or ii) riser connected to the floating unit in the end of an I-tube, which reduces the end-fitting bending loading, and bend stiffener assembled to a bellmouth with a given inclination in relation to the I-tube longitudinal axis. The traditional modeling approach considers the riser/bend stiffener system attached to the floating unit, representative of the first configuration. A more realistic modeling approach, capturing the complex interactions of flexible riser/bend stiffener with I-tube interface can be employed for preliminary assessment with less conservatism. In this work, a large deflection analytical beam model is developed for the riser top connection with I-tube considering the bellmouth transition region with a straight rigid surface followed by a curved section. The riser follows a nonlinear bending behavior described by a bilinear moment vs curvature function and the bend stiffener polyurethane material exhibits nonlinear elastic symmetric response represented by a power law function. It is assumed that there is no gap between the riser and the bend stiffener and the riser is fixed in the end-fitting position. The mathematical formulation of the statically indeterminate system results in three systems of coupled differential equations combined with the corresponding multipoint boundary conditions to be numerically solved by an iterative procedure. A case study is carried out with a 7” flexible riser protected by a bend stiffener connected to an inclined I-tube bellmouth. The system is subjected to extreme loading conditions and the influence of the sleeve shape and I-tube length on the riser curvature distribution, including the end-fitting position, and contact forces between the riser/sleeve and riser/bend stiffener sections are assessed.     

The hydrostatic stiffness of flexible floating structures for linear hydroelasticity

The formulation of the hydrostatic stiffness for linear rigid body hydrodynamics is well known. An explicit formulation for an analogous hydrostatic stiffness in linear hydroelasticity, which is applicable to both rigid body and flexible displacement, is not as well-known. Three such formulations have been proposed previously in the literature, none of which is quite correct; all produce an unsymmetric stiffness matrix. An explicit formulation for the complete hydrostatic stiffness for flexible floating structures at rest in calm water is derived based on a consistent linearization of the external hydrostatic pressure and the internal structural stresses. The symmetry of the present formulation for a floating structure is proven analytically, and the unsymmetry of the hydrostatic stiffness for individual finite elements is discussed. The formulation will be of most interest to those who wish to extend linear potential theory hydrodynamic codes for rigid body analysis to deformable bodies. Several issues that are significant for practical implementation are discussed and several examples are presented.     

Hydroelastic analysis of a very large floating plate with large deflections in stochastic seaway

The hydroelasticity of a very large floating plate with large deflections in multidirectional irregular waves is discussed. After a brief introduction on wave loads on a flexible structure, the paper derives the generalised fluid force acting on a floating structure in multidirectional irregular waves. The nonlinear sectional forces induced by the membrane forces in the plate are deduced. The hydroelastic response equations of a floating plate with large deflections in multidirectional irregular waves are established, and a solution method in the frequency domain is discussed including extreme value statistics. A very large floating structure is chosen as an example. The numerical results show that the influence of the membrane forces on the vertical displacements and the bending moments is noticeable but not that large.     

On the dispersion relation of hydroelastic waves in a plate

This paper deals with the dispersion relation of hydroelastic waves in pontoon-type very large floating structures (VLFS) using a simple beam modeling, where the term hydroelastic waves means propagation of deflection vibrations in VLFS. The purpose of this paper is to show the properties of the hydroelastic waves. The dispersion relation of hydroelastic waves propagating in an infinite plate floating on the water is derived based on the linear water wave theory. The effects of the water depth and of the bending rigidity of the floating plate on the wavelength, phase velocity, and group velocity of the hydroelastic waves are shown theoretically or numerically. Then, the dispersion relation of hydroelastic waves in a finite plate floating on shallow water is investigated. It is shown that the wavelength or the phase velocity of the hydroelastic waves varies with the location in the plate. Received for publication on April 7, 1999; accepted on Aug. 20, 1999     

内压对锥柱耐压壳焊接残余应力影响的数值模拟与试验研究

耐压结构在使用前一般都要进行内压试验,经过内压试验后结构的焊接残余应力会发生改变。残余应力的变化会对结构的力学特性有一定影响。文章首先运用ANSYS的APDL语言编写了大尺度锥柱耐压壳模型焊接残余应力数值模拟程序,对耐压结构的初始残余应力和经过内压试验后残余应力的变化进行计算;然后,采用X射线无损检测方法对该大尺度锥柱耐压壳模型的初始残余应力和经过内压试验后的残余应力进行测量。计算结果与试验结果表明,随着内压增加,内壳残余拉应力不断降低;而外壳残余压应力则变化不大;并且数值模拟结果与试验结果基本吻合。该文研究结果为更加合理可靠地进行耐压结构力学特性分析提供了理论依据。     

考虑浮体弹性变形的锚泊系统分析方法

传统的锚泊系统分析方法一般是假设结构物为刚性不可变形的,这种假设对于常规海洋结构物的锚泊系统分析,其精度是可以接受的,然而对于弹性体(比如超大型浮体)来说,这种浮体刚性的假设显然是不合理的.本文基于摄动理论,分别给出了锚泊浮体(同时包括弹性体和刚性体)和锚泊系统的一阶运动方程.分别用三维水弹性理论和Goodman-Iance法求解浮体的动力响应和锚泊线的运动,并给出了两者之间的协调关系.通过数值算例分析表明,对于超大型浮体,其弹性特性对锚泊系统特性的影响是不可忽略的.     

舰船主船体水线以下部分武器

采用符拉索夫计算法计算武器命中后的舰船浮态和外载荷的变化。以薄壁梁理论为基础,用迁移矩阵法计算武器命中后的舰船的内力,并以某舰船为计算模型进行了数值计算分析,找出正应力和剪应力随不同破口部位及尺寸的变化规律,从而为舰船破损后的剩余强度研究提供了依据。     

气液混合型靠泊护舷研究

大型船舶进港或海上靠泊时撞击位置有可能延伸到水下,普通的漂浮型护舷无法满足使用要求.提出一种气液混合新型护舷形式,对其原理和结构进行了简要介绍,对其压缩时的技术性能进行了分析.     

近岛礁地形影响下的浮式平台运动响应

近岛礁附近的地形一般呈现高低不平的状态,水深从几十米到几米不等。远场波浪向近岸传递过来时在礁盘上会经过复杂的演化,使得浮体附近的波浪呈现一定的非均匀性,不同于常规的长峰规则波,同时礁盘的起伏变化会对波浪中的浮体的运动产生影响,最终使得浮体在复杂地形下的水动力运动响应不同于一般均一水深下的浮体响应。该文通过建立浮体和礁盘地形的耦合水动力模型,计算了礁盘对浮体入射波力、绕射力、辐射水动力系数以及运动的影响,同时与水池模型试验对比了浮体运动,两者较为一致。研究表明复杂地形对浮体的水动力运动存在较大的影响,在某些周期附近会增大浮体的运动响应,因此需要理性考虑复杂地形对浮体的影响。     

半潜浮式风机的动力响应分析

OC4半潜浮式风机综合性能较好，但其浮式基础结构质量和结构复杂性使其建造成本高昂，而WindFloat半潜浮式风机浮式基础具有结构简单、建造成本低和减摇效果好等优点，但是适应水深较小且只适合特定海域。结合OC4和WindFloat半潜浮式风机浮式基础的结构特点，针对200 m水深环境设计OC4-WindFloat半潜浮式风机基础。基于叶素理论、莫里森公式和势流理论，通过有限元软件对OC4-WindFloat半潜浮式风机的固有周期及风浪联合作用下的动态响应进行耦合分析，并与OC4半潜浮式风机结果进行对比研究。结果显示，OC4-WindFloat半潜浮式风机固有周期及动态响应均满足相关规定，且具有比OC4更低的建造成本，相比WindFloat可适用更深的海域。研究结果对于浮式基础型式研究有一定的指导意义。