Protective effect of polymer coating on the circular steel plate response to near-field underwater explosions

To understand the intrinsic strong interaction between the soft coating and near-field underwater explosion, a series of comparative live fire tests are implemented. Nine steel circular plates with three configurations (i.e. rubber coated plate, foam coated plate and bare plate) are tested using 1.5 g PETN detonator. The stand-off between the plate center and explosive charge is ranged from 3.41 to 1.14 times of the maximum bubble radius. The transient strain history of the plate and acceleration history of the metal base fixture are monitored. The whole explosion process including local cavitation and bubble motion is recorded by an APX-RS high speed camera. Test results show that the compressibility of coating layer is the dominative factor that controls its protective performance in the shock wave loading phase. The more compressible foam coating distinctly reduce the shock wave intensity by local cavitation before enters the densification phase, while the explosion bubble shape and even the direction of water jet can also be changed. But the attenuation performance in the bubble loading phase is not as optimistic as that in the shock wave phase because more deformation space is required while the core has often entered the densification phase.     

Vibrations of imperfect ship plating

This paper deals with vibration analysis of plates in marine structures. It is the main purpose of the paper to demonstrate that in order to obtain reliable frequency predictions it is necessary to include in the vibration analysis the effects of the unavoidable imperfections caused by welding or lateral fluid pressure. Furthermore, practical procedures for including these effects are presented. Simple algebraic expressions are derived for determination of small amplitude natural frequencies of vibration of initially imperfect rectangular plates subjected to uniaxial in-plane loads. The theoretical results show close agreement with experimental results available in the literature. For plating of marine structures with typical welding induced geometric imperfections and residual stresses it is shown that the lowest natural frequency of the unloaded imperfect plate can be twice as high as that of the perfect plate. For vibration analyses of plates submerged in a liquid the importance of taking into account deflections and membrane stresses caused by the hydrostatic pressure is demonstrated.     

Blast loaded plates

Plates form one of the basic elements of structures. Land-based structures may be subjected to air blast loads during combat environment or terrorist attack, while marine structures may be subjected to either air blast by the attack of a missile above the water surface or an underwater explosion by the attack of a torpedo or a mine or a depth charge and an aircraft structure may be subjected to an in-flight attack by on-board explosive devices. Furthermore, gas explosion occurs in offshore installations and industries. This review focuses on the phenomenological evolution of blast damage of plates.     

Equivalent design pressure for ship plates subjected to moving slamming impact loads

When a ship navigates at sea, the slamming impact can generate significant load pulses which move up along the hull plating. The effect of the moving pressure has so far not been explicitly considered in the Rules and Regulations for the Classification of Ships. Based on a modal superposition method and the Lagrange equation, this paper derives analytical solutions to study the elastic dynamic responses of fully clamped rectangular plates under moving pressure impact loads. The spatial variation of the moving slamming impact pressure is simplified to three types of impact loads, i.e. a rectangular pulse, a linearly decaying pulse and an exponentially decaying pulse. The dynamic responses of fully clamped rectangular plates under the moving slamming impact pressure are calculated in order to investigate the influence of the load pulse shapes and moving speed on the plate structural behaviour. It is found that the structural response of the plate increases with the increase of the moving speed. The response of the plate subjected to a moving pressure impact load is smaller than the case when the plate is subjected to a spatially uniform distributed impact load with the same load amplitude and load duration. In order to quantify the effect of the moving speed on the dynamic load, a Dynamic Moving Load Coefficient (DMLC) is introduced as the ratio between the dynamic load factor for the moving impact load and that under the spatially uniform distributed impact load. An expression for DMLC is proposed based on analyses of various scenarios using the developed analytical model. Finally an empirical formula which transforms the moving impact loads to an equivalent static load is proposed.     

近距空爆载荷下钢板/聚脲复合结构动响应特性仿真

[目的]为探讨聚脲涂层对钢板抗爆性能的提升机制,掌握背涂聚脲层对钢板动响应特性的影响规律,对钢板/聚脲复合结构的抗爆动响应过程进行仿真研究.[方法]采用LS-DYNA软件对钢板/聚脲复合结构在近距空爆载荷作用下的变形/失效过程及吸能机制进行数值仿真,并与文献试验结果进行对比,验证数值仿真方法的合理性和准确性.在此基础上...     

垂直围壁对爆炸载荷作用下固支方板动力响应特性影响分析

采用数值仿真方法研究了垂直围壁对爆炸载荷作用下固支方板动力响应特性的影响.提出包含角的概念来反映围壁高度的变化.采用控制变量法对264组具有垂直围壁方板模型的动力响应进行了计算,分析了包含角、炸药质量、板厚、相对爆距等变量对方板所受爆炸冲量和中心点位移的影响.结果表明,垂直围壁会增大目标方板所受爆炸冲量,当围壁高度增大到一定程度后,爆炸冲量趋于一定值;无量纲冲量-I仅与包含角和相对爆距有关,并提出了相应经验公式.文中同时提出了一个考虑垂直围壁影响的中心点挠厚比计算公式,并对其适用范围进行了讨论.     

Parameterization of air–sea gas fluxes at extreme wind speeds

Air–sea flux measurements of O₂ and N₂ obtained during Hurricane Frances in September 2004 [D'Asaro, E. A. and McNeil, C. L., 2006. Measurements of air–sea gas exchange at extreme wind speeds. Journal Marine Systems, this edition.] using air-deployed neutrally buoyant floats reveal the first evidence of a new regime of air–sea gas transfer occurring at wind speeds in excess of 35 m s^− 1. In this regime, plumes of bubbles 1 mm and smaller in size are transported down from near the surface of the ocean to greater depths by vertical turbulent currents with speeds up to 20−30 cm s^− 1. These bubble plumes mostly dissolve before reaching a depth of approximately 20 m as a result of hydrostatic compression. Injection of air into the ocean by this mechanism results in the invasion of gases in proportion to their tropospheric molar gas ratios, and further supersaturation of less soluble gases. A new formulation for air–sea fluxes of weakly soluble gases as a function of wind speed is proposed to extend existing formulations [Woolf, D.K, 1997. Bubbles and their role in gas exchange. In: Liss, P.S., and Duce, R.A., (Eds.), The Sea Surface and Global Change. Cambridge University Press, Cambridge, UK, pp. 173–205.] to span the entire natural range of wind speeds over the open ocean, which includes hurricanes. The new formulation has separate contributions to air–sea gas flux from: 1) non-supersaturating near-surface equilibration processes, which include direct transfer associated with the air–sea interface and ventilation associated with surface wave breaking; 2) partial dissolution of bubbles smaller than 1 mm that mix into the ocean via turbulence; and 3) complete dissolution of bubbles of up to 1 mm in size via subduction of bubble plumes. The model can be simplified by combining “surface equilibration” terms that allow exchange of gases into and out of the ocean, and “gas injection” terms that only allow gas to enter the ocean. The model was tested against the Hurricane Frances data set. Although all the model parameters cannot be determined uniquely, some features are clear. The fluxes due to the surface equilibration terms, estimated both from data and from model inversions, increase rapidly at high wind speed but are still far below those predicted using the cubic parameterization of Wanninkhof and McGillis [Wannikhof, R. and McGillis, W.R., 1999. A cubic relationship between air–sea CO₂ exchange and wind speed. Geophysical Research Letters, 26:1889–1892.] at high wind speed. The fluxes due to gas injection terms increase with wind speed even more rapidly, causing bubble injection to dominate at the highest wind speeds.     

General Analytical Solution of Transverse Vibration For Orthotropic Rectangular Thin Plates

A general solution of differential equation for transverse displacement function of orthotropic rectangular thin plates in free vibration is established in this paper. It can be used to solve the vibration problem of plate with arbitrary boundaries. As an example, the frequencies of a composite laminated plate with four free edges have been solved. The result as compared with the experiment is satisfactory.     

水下爆炸气泡能载荷对单层板架塑性变形的影响研究

针对气泡能载荷对单层板架在水下非接触爆炸载荷作用下塑性变形的影响问题,运用能量法原理,计算了考虑气泡能载荷影响的单层板架的塑性变形,计算结果与试验结果一致。在此基础上,分析了径距比与由气泡能引起单层板架变形占总变形的比例之间的关系。结果表明：在计算工况下,气泡能载荷对单层板架塑性变形的影响不可忽略,其所引起的单层板架变形占总变形25%左右。     

Experimental and numerical investigations on laser-welded corrugated-core sandwich panels subjected to air blast loading

Experimental investigations on the laser-welded triangular corrugated core sandwich panels and equivalent solid plates subjected to air blast loading are presented. The experiments were conducted in an explosion tank considering three levels of blast loading. Results show that the maximum deflection, core web buckling and core compaction increased as the decrease of stand-off distance. Back face deflections of sandwich panels were found to be nearly half that of equivalent solid plates at the stand-off distances of 100 mm and 150 mm. At the closest stand-off distance of 50 mm, the panel was found to fracture and fail catastrophically. Autodyn-based numerical simulations were conducted to investigate the dynamic response of sandwich panels. A good agreement was observed between the numerical calculations and experimental results. The model captured most of the deformation/failure modes of panels. Finally, the effects of face sheet thickness and core web thickness on the dynamic response of sandwich panel were discussed.     

Fatigue tests on grouted connection segment specimens in offshore wind turbine structures considering water ingression

Grouted connections (GCs) are widely used to connect superstructures and driven piles in offshore wind turbine structures. They resist fatigue loading in marine splash zones and even submerged environments. In this paper, six GC segment specimens were designed and tested under fatigue loading in both the air and water ingression conditions. The results in the air condition showed that for the specimens with lower loading ranges, the strain distributions and residual displacements stabilized after 20 thousand load cycles. These conditions persisted until the end of the test with two million cycles, with only a few tiny cracks appearing on the grout material surface. Meanwhile, wide cracks and grout material exfoliation were found in specimens with higher loading ranges. The residual displacement accumulated gradually, which eventually caused the termination of the test when it reached 5 mm after 1.3 million cycles. The results in the water ingression condition showed that the water had entered into the micro-cracks of the grout material, which severely degraded the fatigue behavior of the GC specimens. Even in lower loading ranges, specimens W-1 and W-2 only endured 0.264 million and 64 thousand load cycles before the displacement of the top clamp reached −10 mm. Compared with two specimens tested in the air, with a total displacement of less than −0.7 mm after two million load cycles, the severe deteriorating effect of water ingression on the fatigue behavior of GCs was apparent.     

A detailed finite element investigation of the effects of local lateral high-velocity impacts on the ultimate strength of unstiffened steel plates subjected to uniaxial in-plane compression

In this paper, the ultimate strength of unstiffened steel plates under uniaxial in-plane compression is numerically studied considering the local lateral impact of a rigid-body impactor. The plates are made of mild steel, where its behaviour is modelled by using the Johnson-Cook material model. The material parameters of the Johnson-Cook material model calibrated by the authors were employed for predicting the behaviour of the target in order to numerically reproduce the impact tests. The value of average in-plane stress of the plates is determined accounting for the collision of rigid-body impactor with masses of 50–150 gr and velocities of 400–1200 m/s. Moreover, the effects of stress waves induced as a result of lateral impact of the rigid-body impactor on the ultimate strength of the plates under uniaxial in-plane compression are also assessed. The results indicate that the ultimate strength of the plate decreases due to stress-wave creation and thus, it is required to take that into account. Besides, it is revealed that assuming the final damaged state of the plate after being laterally impacted by the rigid-body impactor as an initial condition, does not yield a correct response when evaluating its ultimate compressive strength under uniaxial in-plane compression.     

Statistical characterization of surfaces of corroded steel plates

The statistical characteristics of corroded steel plate surfaces exposed to marine environments are of interest for assessing longer term structural safety and integrity using probabilistic methods. This requires information about the variability of corrosion loss and pitting over surfaces. The present paper reports on the observed statistical character of the surfaces of 10 large (1.2 m × 0.8 m × 3 mm thick) steel plates exposed in temperate climate marine immersion, tidal and splash zones for 2.5 years. For the analysis the plates were cut into smaller segments that were mechanically scanned to obtain digitised surface topographies. These were then analysed to estimate the correlation structure and the standard deviation of the surface topography. Considerable differences were found for these and for the mean corrosion loss between different exposure zones. For any one segment the surface topography was found to be highly statistically dependent, implying that smaller coupon sizes can provide adequate estimates of corrosion loss. From this it may be inferred that the deepest pits are not statistically independent as commonly assumed in extreme value statistical representations.     

Experimental and numerical modelling of ductile crack propagation in large-scale shell structures

This paper presents a combined experimental–numerical procedure for development and calibration of macroscopic crack propagation criteria in large-scale shell structures. A novel experimental set-up is described in which a mode-I crack can be driven 400 mm through a 20(+) mm thick plate under fully plastic and controlled conditions. The test specimen can be deformed either in combined in-plane bending and extension or in pure extension. Experimental results are described for 5 and 10 mm thick aluminium and steel plates. By performing an inverse finite-element analysis of the experimental results where the simulated crack growth is forced to correspond to the experimental observations, empirical criteria for ductile crack propagation emerge very clearly. Using the experiments with edge crack specimens (ECS) in combined in-plane bending and extension, crack propagation criteria are developed for steel and aluminium plates, mainly as curves showing the critical element deformation versus the shell element size. These derived crack propagation criteria are then validated against a separate set of experiments considering centre crack specimens (CCS) which have a different crack-tip constraint. The applicability of the often-used equivalent strain criterion is discussed versus a more rationally based criterion which takes into account the stress tri-axiality. A large-scale grounding experiment is also simulated showing very good agreement with measurements. The performance of the proposed model is in general good and it is believed that the presented results and experimental–numerical calibration procedure can be of use in practical finite-element simulations of collision and grounding events with the use of shell elements. As discussed, the paper provides a clean framework for further development of macroscopic crack propagation criteria in large-scale plate structures.     

水下爆炸二次脉动压力下舰船抗爆性能研究

将船体梁视为两端自由的Timoshenko梁,在借用二维切片法和水弹性方法的基础上,计算船体染在水下爆炸二次脉动压力下的响应特性。同时,还建立了在考虑水面效应和气泡运动时舰船受到二次脉动压力的计算模型。最后,分析了浮筏式减振装置在水下爆炸二次脉动压力下船用设备的减振抗冲性能。     

A characteristic analysis of the dynamic stability of underwater shell-like lattice marine structures

The deformation mechanisms of submerged shell-like lattice marine structures composed of circular arches and membrane are, in principle, of a non-conservative nature as circulatory load system, because the working force is of the follower type, namely hydrostatic pressure. This paper presents the governing equations for the finite deformations of shell-like lattice structures, defined with monoclinic particle coordinates. The governing equations have been developed using the method of disturbed small motions to clarify the stability problem of shell-like lattice structures. Numerical results show that the complex peninsular shaped instability regions are in the excitation force field for arch-lattices under certain loading conditions, and their stability collapses suddenly past a threshold point of dynamic equilibrium, from a heteronomous state to an autonomous state of self-sustained motions. The concept of the existence of an overall dynamic stability threshold for a shell-like lattice underwater structure is presented here.     

基于波传播法的水下圆柱壳临界载荷-频率特性分析

基于振动的水下圆柱壳临界载荷的预报具有结构无损的优势。针对基于振动的数值仿真及振动试验预测方法存在的不足之处,提出了基于波传播法的水下圆柱壳失稳载荷的理论求解方法。建立了计及静水压力影响的水下圆柱壳固-液耦合振动方程,基于波传播方法获得耦合系统的频率方程。运用Muller三点迭代法求出水下圆柱壳的固有频率,通过线性拟合的方法求出水下圆柱壳临界载荷的弹性理论解,修正后可得到便于工程应用的临界载荷。结果对比表明了该方法的准确性,且具有方法简便、计算量小和易于参数优化的优点。     

典型舱内爆炸载荷对加筋板的毁伤特性

[目的]为研究典型舱内爆炸载荷对加筋板的毁伤特性,将舱内爆炸载荷分为初始爆炸冲击波载荷和准静态气压载荷,利用有限元分析软件LS-DYNA开展爆炸载荷下固支单向加筋板毁伤特性的数值模拟.[方法]主要模拟载荷冲量相等和载荷峰值相等时固支单向加筋板的变形特性,以及加筋板分别在初始爆炸冲击波载荷、准静态气压载荷及2种载荷联合作...     

Nonlinear dynamic response of blast-loaded stiffened plates considering the strain rate sensitivity

The aim of the present paper is to develop a simple theoretical method which can quickly calculate the nonlinear dynamic response of stiffened plates under a blast loading. The large deformation behavior of the stiffened plate is analyzed by using a singly symmetric beam model as representative of the stiffened plate. The material is assumed to be rigid-perfectly plastic, and the strain rate sensitivity is considered by using the Cowper–Symonds constitutive model (CS model). By Lee's extremum principle, the instantaneous modes of nonlinear structural response are determined. A series of calculations are performed to investigate the influence of pulse intensity, pulse duration, plate thickness, stiffener spacing and material property on the displacement response. The obtained results are in good agreement with those of numerical simulations performed by software package ABAQUS, and then a definition for the cases when the simplified method proposed here can be used is provided.