Response of rectangular plates with edges possessing different degrees of elastic rotational restraints, in harmonic excitation

The response of thin elastic plates having edges elastically restrained in rotation to different degrees and subjected to sinusoidal excitation has been investigated. The displacement and bending moment amplitudes have been determined for plates having different aspect ratios, rotational restraints at supports and frequency values. Comparison with available results indicated good accuracy. The formulation is based on a simple numerical procedure.     

Modulus of Subgrade Reaction for Laterally Loaded Piles in Multiple Layered Foundation

-According to the field test data of laterally loaded steel piles at home and abroad,an empiri-cal formula for evaluating the modulus of subgrade reaction under static load in layered soil is proposed.The suggested formula takes account of not only non-linearity of K_s with the depth but also its variationwith the load.It is shown that the computed bending moments along the pile shaft and the deflection atthe pile top are consistent with the measured ones.     

Methods for ultimate limit state assessment of ships and ship-shaped offshore structures: Part III hull girders

The present paper is Part III of a series of three papers on the methods useful for ultimate limit state assessment of ships and ship-shaped offshore structures. It is focused on the methods for the progressive collapse analysis of hull girders under bending moments, in contrast to the previous two papers (Parts I and II), respectively, dealing with methods for the ultimate limit state assessment of unstiffened plates and stiffened panels. An AFRAMAX-class hypothetical double hull oil tanker structure designed by IACS common structural rules (CSR) method is studied as an illustrative example. The ultimate vertical bending moment capacity of the hull structure is then analyzed by ANSYS FEA, ALPS/HULL, and IACS CSR methods, and their resulting computations are compared.     

极端循环载荷下船体裂纹箱型梁的极限强度

旨在了解箱型梁在极端循环载荷下的极限强度特性。利用非线性有限元方法来研究裂纹箱型梁的极限弯矩,分析了5种裂纹模型,探讨了裂纹类型、裂纹位置和裂纹长度的影响。考虑了两种载荷形式应用生死单元法对双向循环弯曲下裂纹扩展进行了模拟;并将由循环载荷引起的累积塑性损伤和疲劳裂纹损伤均考虑在内。无论单向循环还是双向循环,单裂纹模型的极限弯矩均小于双裂纹模型的极限弯矩;单边裂纹是最危险的裂纹类型。进一步分析了极端循环载荷下裂纹箱型梁的极限强度折减机理,得出了极限强度折减归因于这两种损伤的耦合作用的结论,并通过其他箱型梁验证了其适用性。     

Unsteady hydromechanics of a steering podded propeller unit

Unsteady forces, torques and bending moments were predicted for a model podded propulsor unit at various azimuth angles. Predictions in time history include propeller shaft thrust, propulsor unit thrust, normal forces to the propeller shaft bearing, total forces acting on the propulsor unit, propeller shaft torque, blade spindle torque, in-plane and out-of-plane bending moments, and propulsor unit stock shaft torque and bending moments. Analysis was performed for averaged forces and their fluctuations as well. A time-domain unsteady multi-body panel method code, PROPELLA, was further developed for this prediction work. Predictions were compared with a set of time averaged in-house experimental data for a puller-type podded propulsor configuration in the first quadrant operation. Unsteady fluctuations of forces were predicted numerically. Analysis was made for the bending moment on propeller blades, shaft and the propulsor unit stock shaft for azimuth angles from 0° to 45°. It indicates that the magnitude and fluctuation of the forces are significant and they are essential for structural strength and design optimization. The predicted bending moment and global forces on the propulsor unit provide some useful data for ship maneuvering motion and simulation in off-design conditions.     

Experimental study on loss factor for corrugated plates by bandwidth method

The material loss factor for technically orthotropic plates was measured by half-power bandwidth method. Rectangular and trapezoidal corrugated plates of steel were considered. A simple isotropic steel plate was also considered for comparison of the results. The concept of single degree of freedom system was adopted. The tests were undertaken at very low frequency range (0–100) Hz. The plate models were suspended freely with two wires to minimize or prevent excessive extraneous energy dissipation. Out of plane point force, random in nature was applied to the top middle of the plates and the responses were measured from the middle point of the plates by FFT analyzer using miniature small mass accelerometer as sensor. The aim of these tests is to investigate the effects of bending rigidity and mode orders over material loss factor. The values of estimated modal damping loss factors are compared and tabulated for the plates models considered. Natural frequencies of some of the initial modes of the plates are also presented.It is observed that the higher the value of bending rigidity of the plates, the larger the values of loss factor of it. There was a significant increase in value of loss factor in corrugated plates to that of the isotropic plate.     

Hydroelastic analysis of the floating plate optimized for maximum radiation damping

In previous work, the problem of optimizing the shape of a thin floating plate to maximize radiation damping was investigated. The plate was modelled with zero draft and floated on the surface of an irrotational, incompressible ocean of infinite extent. For simplicity, only rigid heave motions were considered and the damping coefficient at one wave number was maximized. In the present work, the hydroelastic properties of the optimized plate are determined and compared with those of circular and square plates. The added mass, damping, and diffraction force coefficients in each mode are determined as a function of wave number. The amplitude responses of the plate deflection and bending moments are also presented. The finite element method is used to determine the vibration mode shapes and the flow problem is analysed using the Chen and Mei variational principle wherein the potential field inside a hemisphere surrounding the plate is represented using a spherical harmonic expansion and matched on the hemisphere to an outer field described by distributing sources on the hemisphere.     

Simplified analysis of offshore piles under cyclic lateral loads

A simple theory for predicting the response to cyclic lateral loading of piles deeply driven in either soft clay or sand is presented and formulas given for calculating, among other things, deflection and internal bending moment along the pile. The theory assumes the soil resistance to deflection to be characterized by an initial elastic reaction up to a critical deflection level, followed by a yield reaction independent of further deflection. Soil parameters are estimated and the theory is shown to provide good correlation with existing field data.     

The Influence of Residual Stress on Plastic Buckling of Cylindrical Shells

-This paper adopts approximate formulas for residual stresses caused by cold bending for plates with stress-strain curve form a = K n. A typical distribution of the longitudinal residual stress due to welding is also assumed. The effects of residual stress due to cold bending and welding on plastic buckling of axially compressed cylindrical shells are studied by the finite element method.     

A method for establishing ship design wave bending moment and its comparison with classification societies' rules

A procedure has been developed for the long-term distribution of the short-term extreme values of ship wave bending moments. The procedure has been applied in a systematic manner to investigate the effect of the principal ship characteristics on the design wave bending monent. The results have been compared to Classification Societies' Rules and demonstrate a rational way to improve them. The same procedure can also be applied to other ship responses or the responses of any structure excited by seaways.     

Numerical Studies on Piled Gravity Base Foundation for Offshore Wind Turbine

This study aims to investigate a hybrid gravity base foundation to support offshore wind tower. A new hybrid gravity base foundation considered in this study has five component piles, referred to as ‘piled gravity base foundation’. The three-dimensional finite element analyses were carried out for the piled gravity base foundation subjected to a combined load with a lateral load and overturning moment. The parametric analyses were undertaken varying the loading height and direction, the rigidity of the piled gravity base foundation, the field soil layers, and the clay strength. Overall, the response of the piled gravity base foundation was significantly influenced by the interaction between the cone base piles and the surrounding soil. The increased strength of the soil led to a significant reduction of the pile and gravity base foundation responses, in terms of the bending moments, axial forces, lateral displacements, and rotations.     

A Study on Hydroelastic Response of Box-Type Very Large Floating Structures

The application of very large floating structure (VLFS) to the utilization of ocean space and exploitation of ocean resources has become one of the issues of great interest in international ocean engineering field. Owing to the advantage of simplicity in structure and low cost of construction and maintenance, box-type VLFS can be used in the calm water area near the coast as the structure configuration of floating airport. In this paper, a 3D linear hydroelastic theory is used to study the dynamic response of box-type VLFS in sinusoidal regular waves. A beam model and a 3D FEM model are respectively employed to describe the dynamic characteristics of the box-type structure in vacuum. A hydrodynamic model (3D potential theory of flexible body) is applied to investigate the effect of different dry models on the hydroelastic response of box-type structure. Based on the calculation of hydroelastic response in regular waves, the rigid body motion displacement, flexible deflection, and the short term and long     

Hydrodynamic tests on a plate in forced oscillation

The forces and moments acting on an oscillating plate at inflow angles at or below stall are well understood. However, there is a shortage of data on surface-piercing plates undergoing rotational oscillation. A set of experiments was conducted on a series of flat plates undergoing forced rotational oscillation in calm water. The impetus for the experiments was an investigation into the hydrodynamics of sailing yacht keels, but the results may be of value for a wide range of engineering problems. The experiments showed that the two-dimensional case was not representative of three-dimensional flow conditions. There was a possible region of transitional flow for the plate in two-dimensional flow, not evidenced in the results for three-dimensional flow. The total roll moment, roll inertia, roll drag and sway force coefficients showed an inverse square root relationship to aspect ratio, with a very weak dependency on oscillation frequency and angle amplitude. Under-plate clearance effects were small for the clearance values investigated.     

A parametric study of wave loads on trimaran ships traveling in waves

In this paper, we present a spectral analysis based on wave loads to select suitable side-hull arrangements for a trimaran ship traveling in waves. Neglecting the steady flow effect, the three-dimensional source-distribution method, using a pulsating source potential incorporating the panel method, is adopted to solve the corresponding hydrodynamic coefficients. The significant values for wave loads, including shear forces, bending moments, and torsion moments at different locations on the main hull and connected deck with respect to different staggers and clearances, are derived by the spectral analysis. Several ship speeds and wave headings are also considered for comparison. This study offers more information for selecting the side-hull arrangement from the viewpoint of wave loads on trimaran ships, which may be regarded as helpful references for seakeeping design of these types of ships.     

Experimental investigation of hull girder vibrations of a flexible backbone model in bending and torsion

Although the coupled horizontal–torsional vibrations of open ships have been investigated numerically for decades, the available experimental data in oblique seas seem rare. Model tests, considering natural frequencies of bending and torsional modes, have been conducted by the Centre for Ships and Ocean Structures (CeSOS) in the towing tank and ocean basin. A flexible backbone model was designed with five cut-outs on the top side of the aluminum beam to realize approximately torsional stiffness as well as vertical and horizontal bending stiffness. This paper mainly deals with measured bending and torsional vibrations in regular and irregular waves. The damping ratios, mode shapes, and modal moments were derived from experimental data, and a numerical model based on modal superimposition is established according to the measured hydroelastic properties. Some time-domain simulations are carried out considering the structural characteristics, and compared with measured results. The test data in regular waves are presented to show the possible factors of influence on the vibrations. The effect of bending and torsional vibrations on the extreme response values in irregular waves is estimated. The uncertainties in the experiments are discussed and conclusions are presented at the end of this paper.     

Analysis and Design of Monopile Foundations for Offshore Wind-Turbine Structures

Offshore wind turbines (OWTs) are generally supported by large-diameter monopiles, with the combination of axial forces, lateral forces, bending moments, and torsional moments generated by the OWT structure and various environmental factors resisted by earth pressures mobilized in the soil foundation. The lateral loading on the monopile foundation is essentially cyclic in nature and typically of low amplitude. This state-of-the-art review paper presents details on the geometric design, nominal size, and structural and environmental loading for existing and planned OWT structures supported by monopile foundations. Pertinent ocean-environment loading conditions, including methods of calculation using site-specific data, are described along with wave particle kinematics, focusing on correlations between the loading frequency and natural vibration frequency of the OWT structure. Existing methods for modeling soil under cyclic loading are reviewed, focusing in particular on strain accumulation models that consider pile–soil interaction under cyclic lateral loading. Inherent limitations/shortcomings of these models for the analysis and design of existing and planned OWT monopile foundations are discussed. A design example of an OWT support structure having a monopile foundation system is presented. Target areas for further research by the wind-energy sector, which would facilitate the development of improved analyses/design methods for offshore monopiles, are identified.     

岩石圈挠曲-弹性薄板小挠度弯曲的新方程

岩石圈挠曲研究采用的是弹性薄板小挠度弯曲方程(即克希霍夫方程),克希霍夫方程基于薄板的前提,忽略并假设薄板内垂向应力为0。本文在无需垂向应力为0的这一与地质事实不相符的假设的情况下,由弹性体几何方程、物理方程和静力平衡方程推导出岩石圈挠曲-弹性薄板小挠度弯曲的新中面方程,具有同等的数学简洁性。取泊松比为0.25时,有DFF/D=1.125,即新挠曲方程中的挠曲刚度DFF要比经典的克希霍夫挠曲方程的D值大12.5%。本文推导的新方程不仅可以在岩石圈动力学,也可以在弹性力学中获得应用。     

波浪作用下铰接式层合浮体的水弹性响应研究

在工程设计中,通常采用模块化方式制造超大型浮式结构物,将巨大的单体结构分割成多个较小模块,后期通过合适的连接器拼装形成。为了明确多模块超大浮体在波浪作用下的水弹性响应,以两个相邻层合浮体（高刚度面板和低密度芯材）为研究对象,建立波浪作用下铰接层合浮体水弹性响应的高阶势流模型。采用匹配特征函数展开法求解流体运动的速度势,探讨了铰接处弹簧刚度对浮体的反射系数、透射系数、挠度、弯矩和剪力的影响规律。研究结果表明：迎浪侧浮体的存在可以有效降低背浪侧浮体的挠度、弯矩和剪力幅值;与垂直弹簧相比,扭转弹簧刚度的增加可以更加有效抑制铰接层合浮体的水弹性响应;当扭转弹簧刚度大于一定值时,继续增大弹簧刚度对浮体的动力响应不产生影响。     

利用卫星云图资料制作热带气旋预报路径的一种算法

根据台风生成后在云场中移动的环境条件,引入一个环境作用于台风中心的热力梯度力方向,用该热力梯度力方向与当前台风的移动方向相结合,研究台风移动过程的变化规律,寻找一种简易可行的台风路径预报方法．经过多年实践,本文揭示出台风中心未来沿着当前移动方向与环境作用于台风中心的热力方向合成移动的基本规律：当前台风中心移向与前方晴空区中轴线相交时,台风沿着当前移向前进到与阻挡轴线相交点相距4个纬距的位置时便发生偏转,逐渐与阻挡轴线走向趋于一致;若当前台风中心距相交点的距离小于或等于4个纬距时,则从当前位置发生偏转．文中利用以上规律研制出台风移向变化方程和移动轨迹方程．     

Evaluation of bending moments and shear forces at unit connections of very large floating structures using hydroelastic and rigid body analyses

This paper investigates the characteristics of bending moments, shear forces and stresses at unit connections of very large floating structures (VLFS) under wave loads. The responses of VLFS are calculated by solving multi-body motion equation considering hydroelasticity and connection stiffness. Hydroelastic responses are calculated by the direct method. Higher-order boundary element method (HOBEM) is used for fluid analysis and finite element method (FEM) is introduced for structural analysis. The equation of motion is modified to describe the unit connections by employing spring elements. Bending moments and shear forces at the connections are obtained from the dynamic equilibrium condition for pressures and inertia forces. Two types of VLFS units such as tandem arranged units and side-by-side arranged units are considered in the numerical examples. The influences of connection stiffness, wave frequency and heading angle on responses of VLFS are investigated through the numerical examples. Rigid body analysis along with hydroelastic analysis is also carried out in the numerical analysis and comparison of those two approaches is discussed.