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A Fluid–Structure Interaction Analysis to Investigate the Influence of Magnetic Fields on Plaque Growth in Stenotic Bifurcated Arteries 研究磁场对狭窄分叉动脉斑块生长影响的流体与结构相互作用分析
Pub Date : 2024-07-18 DOI: 10.3390/dynamics4030030
Kaleem Iqbal, E. Rossi di Schio, M. A. Anwar, Mudassar Razzaq, Hasan Shahzad, P. Valdiserri, Giampietro Fabbri, C. Biserni
A finite element method is employed to examine the impact of a magnetic field on the development of plaque in an artery with stenotic bifurcation. Consistent with existing literature, blood flow is characterized as a Newtonian fluid that is stable, incompressible, biomagnetic, and laminar. Additionally, it is assumed that the arterial wall is linearly elastic throughout. The hemodynamic flow within a bifurcated artery, influenced by an asymmetric magnetic field, is described using the arbitrary Lagrangian–Eulerian (ALE) method. This technique incorporates the fluid–structure interaction coupling. The nonlinear system of partial differential equations is discretized using a stable P2P1 finite element pair. To solve the resulting nonlinear algebraic equation system, the Newton-Raphson method is employed. Magnetic fields are numerically modeled, and the resulting displacement, velocity magnitude, pressure, and wall shear stresses are analyzed across a range of Reynolds numbers (Re = 500, 1000, 1500, and 2000). The numerical analysis reveals that the presence of a magnetic field significantly impacts both the displacement magnitude and the flow velocity. In fact, introducing a magnetic field leads to reduced flow separation, an expanded recirculation area near the stenosis, as well as an increase in wall shear stress.
本文采用有限元方法研究磁场对狭窄分叉动脉斑块发展的影响。与现有文献一致,血流被描述为稳定、不可压缩、生物磁性和层流的牛顿流体。此外,假设动脉壁在整个过程中都是线性弹性的。受不对称磁场影响的分叉动脉内的血流动力学流动采用任意拉格朗日-欧勒(ALE)方法进行描述。该技术包含流体与结构的相互作用耦合。使用稳定的 P2P1 有限元对将非线性偏微分方程系统离散化。为了求解由此产生的非线性代数方程系统,采用了牛顿-拉斐森方法。对磁场进行了数值建模,并分析了在雷诺数(Re = 500、1000、1500 和 2000)范围内产生的位移、速度大小、压力和壁面剪应力。数值分析表明,磁场的存在对位移大小和流速都有显著影响。事实上,引入磁场会导致流动分离度降低、狭窄处附近的再循环面积扩大以及壁面剪切应力增加。
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引用次数: 0
Vertical and Lateral Dynamics of 4L Freight Bogie 4L 运货转向架的垂直和横向动力学性能
Pub Date : 2024-07-16 DOI: 10.3390/dynamics4030029
G. Megna
Freight wagons in Europe have used Y25 bogies since the 1960s. Although very cost-effective, Y25 suffers from intrinsic limitations due to its architecture and running behaviour. This study introduces an innovative lightweight bogie, named 4L bogie, aimed at removing those limitations as well as improving running dynamics and track friendliness. This task was particularly challenging as the high ratio between laden and tare weight (up to 5:1) forced us to use a non-conventional suspension system and an innovative architecture of frame, reducing the mass by about 15% and the yaw moment of inertia by about 30% with respect to the Y25 bogie. Maintenance issues were addressed by reducing the number of components and easing overhaul, while the new design was validated from both the structural and the running dynamics point of view, assessing its interaction with the track in terms of stability, curving behaviour and the vertical response of the 4L bogie. Stability was improved by about 20% even in empty conditions and high conicity at the wheel/rail contact. Vertical dynamic force on a straight track, evaluated according to the Ride Force Count metric, and wear behaviour on sharp and mild curves were considerably reduced, leading to an improved track friendliness of the bogie.
自 20 世纪 60 年代以来,欧洲的货车一直使用 Y25 转向架。尽管 Y25 具有很高的成本效益,但由于其结构和运行性能,它存在一些固有的局限性。本研究引入了一种创新的轻型转向架,命名为 4L 转向架,旨在消除这些限制,并改善运行动态和轨道友好性。这项任务特别具有挑战性,因为载重量和皮重量之间的高比率(高达 5:1)迫使我们使用非常规悬挂系统和创新的框架结构,与 Y25 转向架相比,质量减少了约 15%,偏航惯性矩减少了约 30%。通过减少部件数量和简化检修,解决了维护问题,同时从结构和运行动力学角度对新设计进行了验证,从稳定性、转弯性能和 4L 转向架的垂直响应方面评估了其与轨道的相互作用。即使在空载和车轮/轨道接触处高锥度的情况下,稳定性也提高了约 20%。直线轨道上的垂直动态力(根据乘坐力计数指标进行评估)以及急弯和缓和弯道上的磨损情况都大大减少,从而提高了转向架的轨道友好性。
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引用次数: 0
Theoretical Model of Structural Phase Transitions in Al-Cu Solid Solutions under Dynamic Loading Using Machine Learning 利用机器学习建立动态加载下铝铜固溶体结构相变的理论模型
Pub Date : 2024-07-12 DOI: 10.3390/dynamics4030028
Natalya A. Grachyova, E.V. Fomin, Alexander Mayer
The development of dynamic plasticity models with accounting of interplay between several plasticity mechanisms is an urgent problem for the theoretical description of the complex dynamic loading of materials. Here, we consider dynamic plastic relaxation by means of the combined action of dislocations and phase transitions using Al-Cu solid solutions as the model materials and uniaxial compression as the model loading. We propose a simple and robust theoretical model combining molecular dynamics (MD) data, theoretical framework and machine learning (ML) methods. MD simulations of uniaxial compression of Al, Cu and Al-Cu solid solutions reveal a relaxation of shear stresses due to a combination of dislocation plasticity and phase transformations with a complete suppression of the dislocation activity for Cu concentrations in the range of 30–80%. In particular, pure Al reveals an almost complete phase transition from the FCC (face-centered cubic) to the BCC (body-centered cubic) structure at a pressure of about 36 GPa, while pure copper does not reveal it at least till 110 GPa. A theoretical model of stress relaxation is developed, taking into account the dislocation activity and phase transformations, and is applied for the description of the MD results of an Al-Cu solid solution. Arrhenius-type equations are employed to describe the rates of phase transformation. The Bayesian method is applied to identify the model parameters with fitting to MD results as the reference data. Two forward-propagation artificial neural networks (ANNs) trained by MD data for uniaxial compression and tension are used to approximate the single-valued functions being parts of constitutive relation, such as the equation of state (EOS), elastic (shear and bulk) moduli and the nucleation strain distance function describing dislocation nucleation. The developed theoretical model with machine learning can be further used for the simulation of a shock-wave structure in metastable Al-Cu solid solutions, and the developed method can be applied to other metallic systems, including high-entropy alloys.
要从理论上描述材料的复杂动态加载,亟待解决的问题是建立能反映多种塑性机制相互作用的动态塑性模型。在此,我们以 Al-Cu 固溶体为模型材料,以单轴压缩为模型载荷,通过位错和相变的联合作用来考虑动态塑性松弛。我们提出了一个结合分子动力学(MD)数据、理论框架和机器学习(ML)方法的简单而稳健的理论模型。对 Al、Cu 和 Al-Cu 固溶体进行单轴压缩的 MD 模拟显示,在 Cu 浓度为 30-80% 的范围内,位错塑性和相变共同作用导致剪切应力松弛,位错活动被完全抑制。特别是,纯铝在约 36 GPa 的压力下几乎完全实现了从面心立方结构到体心立方结构的相变,而纯铜至少在 110 GPa 的压力下才实现相变。考虑到位错活动和相变,我们建立了一个应力松弛理论模型,并将其应用于描述铝铜固溶体的 MD 结果。采用阿伦尼乌斯方程来描述相变速率。应用贝叶斯方法确定模型参数,并以 MD 结果为参考数据进行拟合。使用两个由单轴压缩和拉伸的 MD 数据训练的前向传播人工神经网络(ANN)来逼近构成关系中的单值函数,如状态方程(EOS)、弹性(剪切和体积)模量和描述位错成核的成核应变距离函数。所开发的机器学习理论模型可进一步用于模拟易陨落铝铜固溶体中的冲击波结构,所开发的方法还可应用于其他金属体系,包括高熵合金。
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引用次数: 0
Artificial Intelligence Modeling of the Heterogeneous Gas Quenching Process for Steel Batches Based on Numerical Simulations and Experiments 基于数值模拟和实验的钢铁批次异相气淬工艺人工智能建模
Pub Date : 2024-06-03 DOI: 10.3390/dynamics4020023
N. Narayan, P. Landgraf, T. Lampke, U. Fritsching
High-pressure gas quenching is widely used in the metals industry during the heat treatment processing of steel specimens to improve their material properties. In a gas quenching process, a preheated austenised metal specimen is rapidly cooled with a gas such as nitrogen, helium, etc. The resulting microstructure relies on the temporal and spatial thermal history during the quenching. As a result, the corresponding material properties such as hardness are achieved. Challenges reside with the selection of the proper process parameters. This research focuses on the heat treatment of steel sample batches. The gas quenching process is fundamentally investigated in experiments and numerical simulations. Experiments are carried out to determine the heat transfer coefficient and the cooling curves as well as the local flow fields. Quenched samples are analyzed to derive the material hardness. CFD and FEM models numerically determine the conjugate heat transfer, flow behavior, cooling curve, and material hardness. In a novel approach, the experimental and simulation results are adopted to train artificial neural networks (ANNs), which allow us to predict the required process parameters for a targeted material property. The steels 42CrMo4 (1.7225) and 100Cr6 (1.3505) are investigated, nitrogen is the quenching gas, and geometries such as a disc, disc with a hole and ring are considered for batch series production.
高压气淬广泛应用于金属工业中钢材试样的热处理加工,以改善其材料性能。在气淬过程中,预热的奥氏体金属试样被氮气、氦气等气体快速冷却。由此产生的微观结构取决于淬火过程中的时间和空间热历史。因此,可以获得相应的材料特性,如硬度。选择适当的工艺参数是一项挑战。本研究的重点是钢材样品批次的热处理。通过实验和数值模拟从根本上研究了气淬工艺。通过实验确定传热系数、冷却曲线以及局部流场。对淬火样品进行分析,以得出材料硬度。CFD 和 FEM 模型对共轭传热、流动行为、冷却曲线和材料硬度进行了数值测定。采用一种新颖的方法,将实验和模拟结果用于训练人工神经网络 (ANN),从而预测目标材料性能所需的工艺参数。研究对象为 42CrMo4 (1.7225) 和 100Cr6 (1.3505)钢,淬火气体为氮气,并考虑了批量系列生产中的盘形、带孔盘形和环形等几何形状。
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引用次数: 0
An Optimum Design for a Fast-Response Solenoid Valve: Application to a Limaçon Gas Expander 快速响应电磁阀的优化设计:利马松气体膨胀机的应用
Pub Date : 2024-06-03 DOI: 10.3390/dynamics4020024
Md Shazzad Hossain, Ibrahim A. Sultan, Truong H. Phung, Apurv Kumar
Organic Rankine Cycle (ORC)–based small-scale power plants are becoming a promising instrument in the recent drive to utilize renewable sources and reduce carbon emissions. But the effectiveness of such systems is limited by the low efficiency of gas expanders, which are the main part of an ORC system. Limaçon-based expansion machines with a fast inlet control valve have great prospects as they could potentially offer efficiencies over 50%. However, the lack of a highly reliable and significantly fast control valve is hindering its possible application. In this paper, a push–pull solenoid valve is optimized using a stochastic optimization technique to provide a fast response. The optimization yields about 56–58% improvement in overall valve response. A performance comparison of the initial and optimized valves applied to a limaçon expander thermodynamic model is also presented. Additionally, the sensitivity of the valve towards a changing inlet pressure and expander rotor velocity is analyzed to better understand the effectiveness of the valve and provide clues to overall performance improvement.
基于有机郎肯循环(ORC)的小型发电厂正在成为近年来利用可再生能源和减少碳排放的一种有前途的工具。但是,作为 ORC 系统主要组成部分的气体膨胀机效率较低,限制了此类系统的有效性。基于利马逊的膨胀机配有快速进气控制阀,其效率可能超过 50%,因此前景广阔。然而,由于缺乏高可靠性和明显快速的控制阀,阻碍了其可能的应用。本文采用随机优化技术对推拉式电磁阀进行了优化,以提供快速响应。优化后,阀门的整体响应速度提高了约 56-58%。此外,还对应用于利马逊膨胀机热力学模型的初始阀门和优化阀门进行了性能比较。此外,还分析了阀门对入口压力和膨胀机转子速度变化的敏感性,以更好地了解阀门的有效性,并为整体性能改进提供线索。
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引用次数: 0
Cupolets: History, Theory, and Applications Cupolets:历史、理论和应用
Pub Date : 2024-05-13 DOI: 10.3390/dynamics4020022
Matthew A. Morena, Kevin M. Short
In chaos control, one usually seeks to stabilize the unstable periodic orbits (UPOs) that densely inhabit the attractors of many chaotic dynamical systems. These orbits collectively play a significant role in determining the dynamics and properties of chaotic systems and are said to form the skeleton of the associated attractors. While UPOs are insightful tools for analysis, they are naturally unstable and, as such, are difficult to find and computationally expensive to stabilize. An alternative to using UPOs is to approximate them using cupolets. Cupolets, a name derived from chaotic, unstable, periodic, orbit-lets, are a relatively new class of waveforms that represent highly accurate approximations to the UPOs of chaotic systems, but which are generated via a particular control scheme that applies tiny perturbations along Poincaré sections. Originally discovered in an application of secure chaotic communications, cupolets have since gone on to play pivotal roles in a number of theoretical and practical applications. These developments include using cupolets as wavelets for image compression, targeting in dynamical systems, a chaotic analog to quantum entanglement, an abstract reducibility classification, a basis for audio and video compression, and, most recently, their detection in a chaotic neuron model. This review will detail the historical development of cupolets, how they are generated, and their successful integration into theoretical and computational science and will also identify some unanswered questions and future directions for this work.
在混沌控制中,人们通常寻求稳定不稳定周期轨道(UPO),这些轨道密集地栖息在许多混沌动力学系统的吸引子中。这些轨道在决定混沌系统的动力学和特性方面发挥着重要作用,被称为相关吸引子的骨架。虽然 UPOs 是很有洞察力的分析工具,但它们天然不稳定,因此很难找到,而且稳定的计算成本很高。使用 UPOs 的另一种方法是使用 Cupolets 近似 UPOs。Cupolets这个名字来源于混沌、不稳定、周期性的小轨道,是一类相对较新的波形,代表了混沌系统UPO的高精度近似值,但它是通过一种特殊的控制方案产生的,该方案沿Poincaré截面施加微小的扰动。丘比特最初是在安全混沌通信的应用中发现的,后来在许多理论和实际应用中发挥了关键作用。这些发展包括将小丘子用作图像压缩的小波、动态系统中的目标定位、量子纠缠的混沌类似物、抽象还原性分类、音频和视频压缩的基础,以及最近在混沌神经元模型中对它们的检测。这篇综述将详细介绍杯状混沌的历史发展、生成方式以及与理论和计算科学的成功结合,同时还将指出一些未解之谜和这项工作的未来方向。
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引用次数: 0
Dynamics of Vortex Structures: From Planets to Black Hole Accretion Disks 涡旋结构动力学:从行星到黑洞吸积盘
Pub Date : 2024-05-13 DOI: 10.3390/dynamics4020021
E. P. Tito, Vadim I. Pavlov
Thermo-vortices (bright spots, blobs, swirls) in cosmic fluids (planetary atmospheres, or even black hole accretion disks) are sometimes observed as clustered into quasi-symmetrical quasi-stationary groups but conceptualized in models as autonomous items. We demonstrate—using the (analytical) Sharp Boundaries Evolution Method and a generic model of a thermo-vorticial field in a rotating “thin” fluid layer in a spacetime that may be curved or flat—that these thermo-vortices may be not independent but represent interlinked parts of a single, coherent, multi-petal macro-structure. This alternative conceptualization may influence the designs of numerical models and image-reconstruction methods.
宇宙流体(行星大气层,甚至黑洞吸积盘)中的热涡(亮点、球状物、漩涡)有时会被观测到聚集成准对称准静止群,但在模型中却被概念化为独立的项目。我们利用(分析)锐边界演化法和时空中旋转的 "薄 "流体层中的热涡流场通用模型(可能是弯曲的,也可能是平坦的)证明,这些热涡流可能不是独立的,而是代表一个单一、连贯、多瓣宏观结构中相互联系的部分。这种替代概念可能会影响数值模型和图像重建方法的设计。
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引用次数: 0
Estimating Spatio-Temporal Building Power Consumption Based on Graph Convolution Network Method 基于图卷积网络法估算时空建筑耗电量
Pub Date : 2024-05-02 DOI: 10.3390/dynamics4020020
Georgios Vontzos, Vasileios Laitsos, A. Charakopoulos, D. Bargiotas, T. Karakasidis
Buildings are responsible for around 30% and 42% of the consumed energy at the global and European levels, respectively. Accurate building power consumption estimation is crucial for resource saving. This research investigates the combination of graph convolutional networks (GCNs) and long short-term memory networks (LSTMs) to analyze power building consumption, thereby focusing on predictive modeling. Specifically, by structuring graphs based on Pearson’s correlation and Euclidean distance methods, GCNs are employed to discern intricate spatial dependencies, and LSTM is used for temporal dependencies. The proposed models are applied to data from a multistory, multizone educational building, and they are then compared with baseline machine learning, deep learning, and statistical models. The performance of all models is evaluated using metrics such as the mean absolute error (MAE), mean squared error (MSE), R-squared (R2), and the coefficient of variation of the root mean squared error (CV(RMSE)). Among the proposed computation models, one of the Euclidean-based models consistently achieved the lowest MAE and MSE values, thus indicating superior prediction accuracy. The suggested methods seem promising and highlight the effectiveness of GCNs in improving accuracy and reliability in predicting power consumption. The results could be useful in the planning of building energy policies by engineers, as well as in the evaluation of the energy management of structures.
在全球和欧洲,建筑物消耗的能源分别约占 30% 和 42%。准确估算建筑能耗对节约资源至关重要。本研究调查了图卷积网络(GCN)和长短期记忆网络(LSTM)的组合,以分析建筑耗电量,从而重点关注预测建模。具体来说,通过基于皮尔逊相关性和欧氏距离方法的图结构,GCNs 被用于辨别错综复杂的空间依赖关系,而 LSTM 则被用于时间依赖关系。我们将所提出的模型应用于一栋多层多区教育大楼的数据,然后将它们与基线机器学习、深度学习和统计模型进行比较。使用平均绝对误差(MAE)、平均平方误差(MSE)、R 方(R2)和均方根误差变异系数(CV(RMSE))等指标对所有模型的性能进行评估。在提出的计算模型中,一个基于欧氏的模型始终获得最低的 MAE 和 MSE 值,从而显示出更高的预测准确性。所建议的方法似乎很有前景,突出了 GCN 在提高功耗预测准确性和可靠性方面的有效性。这些结果对工程师规划建筑能源政策以及评估建筑能源管理都很有帮助。
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引用次数: 0
SPH Simulation of Molten Metal Flow Modeling Lava Flow Phenomena with Solidification 熔融金属流的 SPH 模拟,模拟熔岩流凝固现象
Pub Date : 2024-04-19 DOI: 10.3390/dynamics4020017
Shingo Tomita, Joe Yoshikawa, Makoto Sugimoto, Hisaya Komen, Masaya Shigeta
Characteristic dynamics in lava flows, such as the formation processes of lava levees, toe-like tips, and overlapped structures, were reproduced successfully through numerical simulation using the smoothed particle hydrodynamics (SPH) method. Since these specific phenomena have a great influence on the flow direction of lava flows, it is indispensable to elucidate them for accurate predictions of areas where lava strikes. At the first step of this study, lava was expressed using a molten metal with known physical properties. The computational results showed that levees and toe-like tips formed at the fringe of the molten metal flowing down on a slope, which appeared for actual lava flows as well. The dynamics of an overlapped structure formation were also simulated successfully; therein, molten metal flowed down, solidified, and changed the surface shape of the slope, and the second molten metal flowed over the changed surface shape. It was concluded that the computational model developed in this study using the SPH method is applicable for simulating and clarifying lava flow phenomena.
通过使用平滑粒子流体力学(SPH)方法进行数值模拟,成功再现了熔岩流的特征动力学,如熔岩堤坝、趾状尖端和重叠结构的形成过程。由于这些特殊现象对熔岩流的流动方向有很大影响,因此阐明这些现象对于准确预测熔岩冲击区域是必不可少的。这项研究的第一步是用已知物理性质的熔融金属表示熔岩。计算结果表明,熔融金属在斜坡上向下流动的边缘形成了堤坝和趾状尖端,这在实际熔岩流中也会出现。还成功模拟了重叠结构形成的动力学过程;其中,熔融金属向下流动、凝固并改变了斜坡的表面形状,第二熔融金属流过改变了的表面形状。结论是本研究利用 SPH 方法开发的计算模型适用于模拟和阐明熔岩流现象。
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引用次数: 0
Auto-Correlation Functions of Chaotic Binary Sequences Obtained by Alternating Two Binary Functions 通过交替使用两个二进制函数获得的混沌二进制序列的自相关函数
Pub Date : 2024-04-16 DOI: 10.3390/dynamics4020016
Akio Tsuneda
This paper discusses the auto-correlation functions of chaotic binary sequences obtained by a one-dimensional chaotic map and two binary functions. The two binary functions are alternately used to obtain a binary sequence from a chaotic real-valued sequence. We consider two similar methods and give the theoretical auto-correlation functions of the new binary sequences, which are expressed by the auto-/cross-correlation functions of the two chaotic binary sequences generated by a single binary function. Furthermore, some numerical experiments are performed to confirm the validity of the theoretical auto-correlation functions.
本文讨论了由一维混沌图和两个二进制函数得到的混沌二进制序列的自相关函数。交替使用这两个二进制函数可以从混沌实值序列得到二进制序列。我们考虑了两种类似的方法,并给出了新二进制序列的理论自相关函数,这些函数由单个二进制函数生成的两个混沌二进制序列的自相关/交叉相关函数表示。此外,还进行了一些数值实验来证实理论自相关函数的正确性。
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引用次数: 0
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Dynamics
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