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Wave impact pressure and pressure impulse on a square column with an overhanging deck in regular waves 规则波浪中悬空甲板方柱上的波浪冲击压力和压力脉冲
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-29 DOI: 10.1016/j.marstruc.2024.103604
Nianfan Zhang , Longfei Xiao , Tao Peng , Yinghao Guo , Gang Chen

As the main component of semi-submersible platforms, the deck-column structure is inevitably subjected to severe wave impacts in extreme ocean environments. The wave impact pressure and its time integral, impact pressure impulse, play an important role in the structural design, especially for the analysis of dynamic response. To investigate the characteristics of impact pressure and pressure impulse, wave impact tests on a square column with overhanging deck were carried out under a series of regular waves. Wavelet denoising technique and empirical mode decomposition (EMD) method were employed to remove the noise interference and the dynamic amplification effect from raw data. Considering the stochastic feature, statistical analysis of pressure impulse was performed based on generalized extreme value (GEV) and two-parameter Weibull distribution models. The results show the strong variability of the wave pressure impulse and the necessity of statistical analysis even in regular waves. The peak impact pressure is more sensitive to the variation of initial air gap and column incline angle than the pressure impulse. The probability distribution of extreme pressure impulse agrees well with the GEV distribution and is mainly distinguished by the shape parameter. Furthermore, the probability distribution of extreme pressure impulse is significantly affected by the initial air gap, and the effect is also related to wave parameters. The present research reveals the probability distribution of wave pressure impulse in regular waves and lays a foundation for the statistical analysis of pressure impulse in irregular waves.

作为半潜式平台的主要组成部分,甲板柱结构在极端的海洋环境中不可避免地会受到严重的波浪冲击。波浪冲击压力及其时间积分,即冲击压力脉冲,在结构设计,尤其是动态响应分析中发挥着重要作用。为了研究冲击压力和压力脉冲的特性,我们在一系列规则波浪下对带悬挂甲板的方柱进行了波浪冲击试验。采用小波去噪技术和经验模式分解(EMD)方法去除原始数据中的噪声干扰和动态放大效应。考虑到随机特征,基于广义极值(GEV)和双参数威布尔分布模型对压力脉冲进行了统计分析。结果表明,波浪压力脉冲具有很强的可变性,即使在规则波浪中也有必要进行统计分析。与压力脉冲相比,冲击压力峰值对初始气隙和柱体倾斜角的变化更为敏感。极压冲量的概率分布与 GEV 分布十分吻合,主要通过形状参数来区分。此外,极压冲量的概率分布受初始气隙的影响很大,而且这种影响还与波参数有关。本研究揭示了规则波浪压力脉冲的概率分布,为不规则波浪压力脉冲的统计分析奠定了基础。
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引用次数: 0
Solving for hydroelastic ship response using a high-order finite difference method on overlapping grids at zero speed 使用重叠网格上的高阶有限差分法求解零航速下的水弹性船舶响应
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-28 DOI: 10.1016/j.marstruc.2024.103602
Baoshun Zhou , Mostafa Amini-Afshar , Harry B. Bingham , Yanlin Shao , Šime Malenica , Matilde H. Andersen

This work extends an existing seakeeping tool (OceanWave3D-seakeeping) to allow for the efficient and accurate evaluation of the hydroelastic response of large flexible ships sailing in waves. OceanWave3D-seakeeping solves the linearized potential flow problem using high-order finite differences on overlapping curvilinear body-fitted grids. Generalized modes are introduced to capture the flexural responses at both zero and non-zero forward speed, but we focus on the zero speed case here. The implementation of the hydroelastic solution is validated against experimental measurements and reference numerical solutions for three test cases. The ship girder is approximated by an Euler–Bernoulli beam, so only elastic bending deformation is considered and sheer effects are neglected. Some controversy has long existed in the literature about the correct form of the linearized hydrostatic stiffness terms for flexible modes, with Newman (1994) and Malenica and Bigot (2020) arriving at different forms. We provide here a complete derivation of both forms (including the gravitational terms) and demonstrate the equivalence of the buoyancy terms for pure elastic motions.

这项工作扩展了现有的围堰工具(OceanWave3D-seakeeping),以便高效、准确地评估大型柔性船舶在波浪中航行时的水弹性响应。OceanWave3D-seakeeping 在重叠的曲线体拟合网格上使用高阶有限差分求解线性化势流问题。我们引入了广义模态,以捕捉零速和非零速前进时的挠曲响应,但我们在此重点讨论零速情况。根据三个测试案例的实验测量结果和参考数值解法,对水力弹性解法的实施进行了验证。船梁近似于欧拉-伯努利梁,因此只考虑弹性弯曲变形,忽略了峭壁效应。长期以来,文献中对柔性模式线性化流体静力学刚度项的正确形式存在一些争议,Newman(1994 年)和 Malenica 与 Bigot(2020 年)得出了不同的形式。我们在此提供了两种形式(包括重力项)的完整推导,并证明了浮力项对于纯弹性运动的等效性。
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引用次数: 0
Cabin noise analysis of polar transport vessels under ship‒ice‒water‒air coupling continuous icebreaking based on the S-ALE algorithm 基于 S-ALE 算法的船-冰-水-气耦合连续破冰条件下极地运输船的舱室噪声分析
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-28 DOI: 10.1016/j.marstruc.2024.103601
Yuanhe Shi , Deqing Yang , Qing Li , Jiangxuan Qin

With the increasing number of ships navigating in polar regions, collisions between ships and sea ice are inevitable. The cabin noise problem caused by ship-ice collisions is significantly different from that of ships navigating in open water, and it seriously affects the comfort and safety of shipboard personnel. To explore the transient cabin noise response caused by ship-ice collisions, this paper performs numerical studies of the ice load, compares the ice resistance values of experimental and empirical formulas through the ship-ice-water‒air coupled collision method, and gives the sound source load excitation. Then, in the frequency domain acoustic analysis, the acoustic response of the typical cabin noise under icebreaking excitation and coupling excitation is calculated by using the acoustic-structure coupling analysis model and statistical energy analysis model, respectively. The effect of ship transient cabin noise on personnel comfort is analyzed according to the standard of ship noise. The results show that the transient cabin noise is scattered from the collision position to the stern at a certain angle and decays along the length, width, and superstructure of the ship as the frequency increases. The transient cabin noise under coupled excitation shows an M-shape distribution in the ship ranges. The icebreaking excitation mainly affects the transient cabin noise within 1000 Hz, with strong nonlinearity at a low-frequency band. The sound source excitation has a more obvious effect on the cabin noise in the middle-high frequency bands. The A-weighted sound pressure level of transient cabin noise in accommodation cabins and wheel houses during icebreaking operations of polar ships exceeds 5–20 dB(A) of the standard limit, which seriously affects the comfort of people on board. The research results of this paper can provide a reference for the study of ship-ice collision-induced transient cabin noise and the formulation of relevant standards.

随着在极地航行的船舶数量不断增加,船舶与海冰之间的碰撞不可避免。船舶与海冰碰撞造成的舱室噪声问题与在开阔水域航行的船舶有很大不同,严重影响了船上人员的舒适性和安全性。为探讨船冰碰撞引起的瞬态舱室噪声响应,本文对冰载荷进行了数值研究,通过船-冰-水-气耦合碰撞法比较了实验公式和经验公式的冰阻力值,并给出了声源载荷激励。然后,在频域声学分析中,利用声-结构耦合分析模型和统计能量分析模型,分别计算了破冰激励和耦合激励下典型舱室噪声的声学响应。根据船舶噪声标准,分析了船舶瞬态机舱噪声对人员舒适性的影响。结果表明,瞬态机舱噪声从碰撞位置以一定角度向船尾散射,并随着频率的增加沿船的长度、宽度和上层建筑衰减。耦合激励下的瞬态机舱噪声在船舶范围内呈 M 型分布。破冰激励主要影响 1000 Hz 范围内的瞬态舱噪,在低频段具有较强的非线性。声源激励对中高频段机舱噪声的影响更为明显。极地船舶破冰作业时,住宿舱和驾驶室的瞬态舱室噪声 A 计权声压级超过标准限值 5-20 dB(A),严重影响船上人员的舒适度。本文的研究成果可为船舶与冰碰撞诱发瞬态舱室噪声的研究及相关标准的制定提供参考。
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引用次数: 0
Numerical investigation and arrangement optimization on VIV response of marine towing cable with suppression device 带抑制装置的海洋拖缆 VIV 响应的数值研究与布置优化
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-22 DOI: 10.1016/j.marstruc.2024.103598
Li Guo , Yuchao Yuan , Wenyong Tang , Hongxiang Xue

Vortex-induced vibration will occur due to the vortex shedding around the marine towing cable during the towing movement, which will further affect the acquisition efficiency of the marine seismic exploration system. Suppression device is widely used to suppress the VIV response of the marine slenderness structures. In order to investigate the passive suppression mechanism on the marine towing cable, a numerical VIV model is proposed to predict the VIV response of marine towing cable with buoyancy modules. The steady-state and VIV characteristics of marine towing cable with different coverage, layout and slenderness ratio are studied firstly. The parameters have a nonlinear relationship with the VIV response of cable and excessive arrangement of buoyancy module will enlarge the vibration displacement. Where to install a limited number of suppression devices is a challenge for practical engineering. Genetic algorithm is introduced to solve the optimization problem of the suppression device arrangements in this paper. The suppression device arrangement of towing cable will evolve in the direction of decreasing cable VIV displacement until reaching the optimal arrangement. The proposed method is demonstrated by comparing with some typical working conditions. It turns out that the proposed method can perform the optimization design of the suppression device arrangement efficiently. The VIV displacement of cable can be reduced obviously through the optimization design.

在拖曳运动过程中,海洋拖缆周围的涡流脱落会产生涡致振动,这将进一步影响海洋地震勘探系统的采集效率。抑制装置被广泛用于抑制海洋纤度结构的 VIV 响应。为了研究海洋拖缆的被动抑制机制,提出了一个数值 VIV 模型来预测带浮力模块的海洋拖缆的 VIV 响应。首先研究了不同覆盖率、布局和细长比的海洋拖缆的稳态和 VIV 特性。这些参数与缆索的 VIV 响应存在非线性关系,浮力模块布置过多会增大振动位移。在哪里安装数量有限的抑制装置是实际工程中的一个难题。本文引入遗传算法来解决抑制装置布置的优化问题。牵引缆索的抑制装置布置将沿缆索 VIV 位移减小的方向演化,直至达到最优布置。本文提出的方法通过与一些典型工况的比较进行了验证。结果表明,所提出的方法能有效地完成抑制装置布置的优化设计。通过优化设计,电缆的 VIV 位移可以明显减小。
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引用次数: 0
A data-driven approach for scour detection around monopile-supported offshore wind turbines using Naive Bayes classification 利用 Naive Bayes 分类法,采用数据驱动方法检测单桩支撑海上风力涡轮机周围的冲刷情况
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-22 DOI: 10.1016/j.marstruc.2023.103565
Satish Jawalageri , Ramin Ghiasi , Soroosh Jalilvand , Luke J. Prendergast , Abdollah Malekjafarian

This paper proposes a novel data-driven framework for scour detection around offshore wind turbines (OWTs), where damage features are derived from wind and wave-induced acceleration signals collected along the tower. A numerical model of the NREL 5 MW wind turbine, which considers aerodynamic and hydrodynamic loading with soil-structure interaction (SSI) and servo-dynamics, is developed. The model is used to simulate the acceleration responses along the tower for a healthy structure, and a structure affected by progressive scour. A data segmentation process is initially performed on the collected data, which is followed by a feature selection scheme based on the analysis-of-variance (ANOVA) algorithm, to eliminate irrelevant characteristics from the time domain feature set of responses. The proposed framework consists of two main components: (a) offline training, and (b) real-time classification. The acceleration responses collected from the healthy structure and the structure subjected to three different damage scenarios (different scour depths) and under various load conditions, are used in the offline training mode. The selected feature vector from the feature extraction process is used as input to a Naive Bayes classifier (NBC) algorithm to train the model. In the real-time classification, a prediction of the scour depth affecting the structure is performed using a new dataset simulated from unseen load cases and scour conditions of the OWT. The results show that the model trained in the offline stage can predict the scour depth in the real-time monitoring stage with performance measures over approximately 94%.

本文提出了一种用于海上风力涡轮机(OWTs)周围冲刷检测的新型数据驱动框架,其破坏特征来自于沿塔架收集的风和波浪诱导加速度信号。本研究开发了一个 NREL 5 兆瓦风力涡轮机的数值模型,该模型考虑了空气动力和水动力荷载以及土壤-结构相互作用(SSI)和伺服动力学。该模型用于模拟健康结构和受渐进冲刷影响的结构沿塔架的加速度响应。首先对收集到的数据进行数据分割,然后采用基于方差分析(ANOVA)算法的特征选择方案,从响应的时域特征集中剔除无关特征。建议的框架由两个主要部分组成:(a) 离线训练和 (b) 实时分类。离线训练模式使用从健康结构和受到三种不同损坏情况(不同冲刷深度)和各种负载条件影响的结构中收集的加速度响应。从特征提取过程中选择的特征向量被用作 Naive Bayes 分类器 (NBC) 算法的输入,以训练模型。在实时分类中,使用从未曾见过的负载情况和 OWT 的冲刷条件模拟出的新数据集,对影响结构的冲刷深度进行预测。结果表明,在离线阶段训练的模型可以预测实时监测阶段的冲刷深度,性能指标超过约 94%。
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引用次数: 0
FRF-based optimization strategies of actuator on/off status for active vibration isolation systems in underwater vehicle applications 水下航行器应用中主动隔振系统致动器开/关状态的 FRF 优化策略
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-20 DOI: 10.1016/j.marstruc.2024.103603
Di Wu , Shiruo Zheng , Xiling Xie , Zhiyi Zhang

Active vibration isolation (AVI) is a state-of-the-art technique used to attenuate vibration and noise of the underwater vehicle's power machinery. In certain operational conditions, the pre-installed actuator in AVI system may be redundant, and only a subset of them is required for effective vibration suppression. Therefore, optimization of the actuator configuration is necessary. However, the installation position of the actuators is fixed during the design stage, and only the on/off status of the actuators is adjustable. Additionally, the structural complexity of the practical system poses challenges to the conventional state-space-equation-based optimization methods. In this paper, an optimization strategy based on frequency response functions (FRFs) is proposed to optimize the on/off status of the actuators. The optimization problem of actuator status is formulated as an 0–1 nonlinear programming, which can be solved by teaching-learning based optimization (TLBO), a heuristic algorithm. Simulation and experimental results demonstrate that the proposed optimization strategy can effectively determine the optimal actuator configuration under specific disturbance conditions, with only a subset of the actuators being activated to achieve sufficient vibration suppression.

主动隔振(AVI)是一种最先进的技术,用于减弱水下航行器动力机械的振动和噪音。在某些运行条件下,AVI 系统中预装的致动器可能是冗余的,只需要其中的一个子集就能有效抑制振动。因此,有必要对推杆配置进行优化。然而,在设计阶段,执行器的安装位置是固定的,只有执行器的开/关状态是可调的。此外,实际系统结构的复杂性也给传统的基于状态空间方程的优化方法带来了挑战。本文提出了一种基于频率响应函数(FRF)的优化策略,用于优化执行器的开/关状态。执行器状态的优化问题被表述为 0-1 非线性编程,可通过启发式算法--基于教学的优化(TLBO)来解决。仿真和实验结果表明,所提出的优化策略能在特定干扰条件下有效确定最佳致动器配置,只需启动致动器的一个子集即可实现充分的振动抑制。
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引用次数: 0
A new analytical model to evaluate ship side collisions with large indentation considering interaction effects between structural components 考虑到结构部件间相互作用效应的评估大压痕船舷碰撞的新分析模型
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-16 DOI: 10.1016/j.marstruc.2024.103596
Yichi Zhang , Yuchao Yuan , Jiayou Zhou , Wenyong Tang

Ship collision accidents occur frequently and developing rapid prediction methods for structural crashworthiness analysis is of crucial importance in the design phase. This paper proposed a new analytical method to rapidly evaluate side structural responses impacted by a rigid raked bow in right-angle ship collisions with large indentation. Numerical simulations were carried out to help identify and understand the mechanisms of structural deformation of primary structural members. The side structure is divided into different key components and a new analytical model for evaluating the hull shell plating and stiffeners under large indentation subjected to lateral impact was developed. The model considered the shell plating deformation in three different phases, denting, ruptured and tearing phase. Different formulas were derived to cover the analysis from minor deflection to large indentation. Combined with other existing formulas for stiffened decks under in-plane loads, an integrated method was proposed to predict the total resistance and energy dissipation of the side structure. The newly developed method innovatively considered the coupling effects and interactions between various structural members in the collision analysis by dynamically correcting some parameters theoretically. The newly developed method was verified against numerical simulations of full-scale ship collisions through five typical scenarios and good accuracy was achieved. The newly developed method is valuable for use in the preliminary design phase, especially for severe collision scenarios.

船舶碰撞事故频繁发生,因此开发结构耐撞性分析的快速预测方法在设计阶段至关重要。本文提出了一种新的分析方法,用于快速评估在具有大压痕的直角船舶碰撞中受刚性斜艏影响的侧面结构响应。本文进行了数值模拟,以帮助识别和理解主结构件的结构变形机制。船侧结构分为不同的关键部件,并开发了一个新的分析模型,用于评估船体外壳钢板和加劲件在横向撞击大压痕下的变形情况。该模型考虑了外壳钢板在三个不同阶段的变形,即凹陷、破裂和撕裂阶段。得出的不同公式涵盖了从微小挠度到大压痕的分析。结合平面载荷下加固甲板的其他现有公式,提出了一种综合方法来预测侧面结构的总阻力和能量消耗。新开发的方法创新性地考虑了碰撞分析中各种结构构件之间的耦合效应和相互作用,从理论上对一些参数进行了动态修正。新开发的方法通过五种典型场景的全尺寸船舶碰撞数值模拟进行了验证,取得了良好的精度。新开发的方法对初步设计阶段,尤其是严重碰撞情况下的设计很有价值。
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引用次数: 0
Assessment of arresting performance of integral buckle arrestors for sandwich pipes using machine learning techniques 利用机器学习技术评估夹砂管道整体扣式阻火器的阻火性能
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-15 DOI: 10.1016/j.marstruc.2024.103599
Xipeng Wang , Chuangyi Wang , Lin Yuan , Zhi Ding

Integral buckle arrestors are regarded as the most effective arresting devices and can be perfectly adapted to innovative sandwich pipes. In the present study, hyperbaric chamber tests were performed on reduced-scale sandwich pipe specimens equipped with integral arrestors, and the effect of interface bonding behaviour on the crossover pressure was examined. Then, numerical frameworks were proposed to replicate buckling propagating and crossing phenomena under hydrostatic pressure, with a strong consistency between measurements and predictions. A broad parametric analysis on the crossover pressure was implemented covering key material properties and geometries. After that, machine learning techniques were introduced and used for predictions of crossover pressure and arresting efficiency. Four algorithms, involving Random Forest, Multi-layer Perceptron, K-Nearest Neighbors, and Support Vector Machine, were established using a dataset comprising 248 cases with thirteen variables. Based upon an evaluation of standard statistical metrics, it is observed that RF and MLP exhibit superior prediction accuracy, whereas the prediction performance of KNN is the worst. The results show that the machine learning method provides relatively reliable predictions of crossover pressure and arresting efficiency for both flattening and flipping failure modes.

整体扣式阻尼器被认为是最有效的阻尼装置,可以完美地适用于创新型夹层管道。在本研究中,对配备了整体式阻尼器的缩小尺度夹层管道试样进行了高压氧舱试验,并研究了界面粘接行为对交叉压力的影响。然后,提出了数值框架来复制静水压力下的屈曲传播和交叉现象,测量结果和预测结果之间具有很强的一致性。对交叉压力进行了广泛的参数分析,涵盖了关键的材料特性和几何形状。之后,引入了机器学习技术,并将其用于预测交叉压力和阻挡效率。使用由 248 个案例和 13 个变量组成的数据集,建立了四种算法,包括随机森林算法、多层感知器算法、K-近邻算法和支持向量机算法。根据对标准统计指标的评估,可以看出 RF 和 MLP 的预测准确率较高,而 KNN 的预测性能最差。结果表明,机器学习方法可对扁平化和翻转两种失效模式的交叉压力和捕获效率提供相对可靠的预测。
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引用次数: 0
Behaviour and confinement mechanism of circular concrete-filled aluminum alloy tubular stub columns under axial compression 轴向压缩下圆形混凝土填充铝合金管状短柱的行为和约束机制
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-14 DOI: 10.1016/j.marstruc.2024.103600
Xi-Feng Yan , Siqi Lin , Yan-Gang Zhao

Concrete-filled steel tubes are widely applied in offshore structures, which often being exposed to aggressive ocean climate. This has recently led to the introduction of concrete-filled aluminum alloy tubular (CFAT) columns, of which aluminum alloy tube is used as a superior anti-corrosion metal material. However, limited research has led to the design of CFAT columns not being included in the current design specifications, limiting their engineering applications. Accordingly, in this paper, an experimental program including 9 CFAT specimens was launched to further investigate the compressive behavior of CFAT short columns and to clarify the confinement mechanism in such columns. The test results indicate that the ultimate capacity of CFAT short columns is improved with the increase of concrete strength or the decrease of tube diameter-to-wall thickness ratio. Based on the experimental results, the finite element model (FEM) was established, and then used to clarify the confinement mechanism of CFAT columns and investigate the effects of the salient parameters on the behavior of such columns. By comparing with the existing experimental results, the accuracy of current strength calculation formulas for CFAT columns was assessed, and the conclusion indicates that there is an unexpected deviation in the prediction results. To this end, a simplified strength prediction formula for CFAT columns was proposed, which successfully introduced a novel confinement factor that well reflects the confinement effect of the concrete core. This confinement factor considers the effects of proof stress, concrete strength, and tube diameter-to-wall thickness ratio. Finally, compared with other formulas, the proposed formula has better performance in predicting results.

混凝土填充钢管广泛应用于经常暴露在恶劣海洋环境中的近海结构。因此,最近出现了混凝土填充铝合金管柱 (CFAT),铝合金管柱是一种优质的防腐蚀金属材料。然而,由于研究有限,CFAT 柱的设计未被纳入现行设计规范,限制了其工程应用。因此,本文启动了一项包括 9 个 CFAT 试样的实验计划,以进一步研究 CFAT 短柱的抗压行为,并阐明此类柱子的约束机制。试验结果表明,随着混凝土强度的提高或管径壁厚比的减小,CFAT 短柱的极限承载力会得到改善。在试验结果的基础上,建立了有限元模型(FEM),并利用该模型阐明了 CFAT 柱的约束机制,研究了主要参数对此类柱行为的影响。通过与现有实验结果对比,评估了 CFAT 柱现行强度计算公式的准确性,结论表明预测结果存在意想不到的偏差。为此,我们提出了一种简化的 CFAT 柱强度预测公式,成功地引入了一种新的约束因子,很好地反映了混凝土核心筒的约束效应。该约束因子考虑了证明应力、混凝土强度和管径壁厚比的影响。最后,与其他公式相比,所提出的公式在预测结果方面具有更好的性能。
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引用次数: 0
Simplified ultimate strength estimation method of rectangular plates under combined loads 矩形板在组合载荷作用下的简化极限强度估算方法
IF 3.9 2区 工程技术 Q1 Engineering Pub Date : 2024-02-12 DOI: 10.1016/j.marstruc.2024.103592
Kinya Ishibashi , Daisuke Shiomitsu , Akira Tatsumi , Masahiko Fujikubo

A simple method for estimating the ultimate strength of rectangular plates under combined biaxial and shear loads is proposed. Although numerous studies have been conducted to predict the ultimate strength of plates, most conventional methods rely on empirical approaches that involve plastic correction of the elastic buckling strength or curve fitting through nonlinear finite element analysis (NLFEA) or experimental test results. For a more rational design of hull structures, it is important to develop an estimation method with a more theoretical basis corresponding to physical phenomena, such as post-buckling and yielding behavior, the effects of initial imperfections and material properties as well as the elastic buckling strength. Although some methods with the more theoretical basis were developed in previous studies, they often require numerical iterations such as the Newton-Raphson method to obtain load-deflection relationships. Our approach entails a thorough observation of the buckling and collapse behavior obtained from a series of NLFEA calculations, rather than merely investigating the magnitude of the ultimate strength derived from NLFEA. By applying the elastic-large deflection theory and considering the identified buckling modes, analytical solutions that describe the elastic post-buckling behaviors are derived. The ultimate strength is predicted by assessing the yield at pre-defined locations corresponding to the classified collapse modes. The proposed semi-analytical method eliminates the need for numerical iterative methods to obtain load-deflection relationships and provides a simple estimation of the ultimate strength. The accuracy of the proposed method is validated through a comparison with NLFEA results.

本文提出了一种估算矩形板在双轴和剪切组合载荷作用下极限强度的简单方法。虽然已有大量研究对板材的极限强度进行了预测,但大多数传统方法都依赖于经验方法,包括对弹性屈曲强度进行塑性修正,或通过非线性有限元分析(NLFEA)或实验测试结果进行曲线拟合。为了更合理地设计船体结构,必须开发一种具有更多理论基础的估算方法,这种方法应与物理现象(如屈曲后和屈服行为、初始缺陷和材料特性的影响以及弹性屈曲强度)相对应。虽然在以往的研究中已经开发出了一些具有更多理论依据的方法,但这些方法通常需要通过数值迭代(如牛顿-拉斐逊法)来获得荷载-挠度关系。我们的方法需要对一系列无穷大有限元分析计算得出的屈曲和坍塌行为进行全面观察,而不仅仅是研究无穷大有限元分析得出的极限强度的大小。通过应用弹性大挠度理论并考虑已确定的屈曲模式,得出了描述屈曲后弹性行为的分析解决方案。通过评估与已分类的坍塌模式相对应的预定位置的屈服,可以预测极限强度。所提出的半分析方法无需使用数值迭代法来获取荷载-挠度关系,并能简单地估算出极限强度。通过与 NLFEA 结果的比较,验证了所提方法的准确性。
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