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A new crossover dynamics mathematical model of monkeypox disease based on fractional differential equations and the Ψ-Caputo derivative: Numerical treatments 基于分式微分方程和Ψ-卡普托导数的猴痘病新交叉动力学数学模型:数值处理
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.10.019
N.H. Sweilam , S.M. Al-Mekhlafi , W.S. Abdel Kareem , G. Alqurishi
A novel crossover model for monkeypox disease that incorporates Ψ-Caputo fractional derivatives is presented here, where we use a simple nonstandard kernel function Ψ(t). We can be obtained the Caputo and Caputo–Katugampola derivatives as special cases from the proposed derivative. The crossover dynamics model defines four alternative models: fractal fractional order, fractional order, variable order, and fractional stochastic derivatives driven by fractional Brownian motion over four time intervals. The Ψ-nonstandard finite difference method is designed to solve fractal fractional order, fractional order, and variable order mathematical models. Also, the nonstandard modified Euler Maruyama method is used to study the fractional stochastic model. A comparison between Ψ-nonstandard finite difference method and Ψ-standard finite difference method is presented. Moreover, numerous numerical tests and comparisons with real data were conducted to validate the methods’ efficacy and support the theoretical conclusions.
本文提出了一种结合Ψ-卡普托分数导数的新型猴痘疾病交叉模型,其中我们使用了一个简单的非标准核函数Ψ(t)。我们可以从提出的导数中得到卡普托和卡普托-卡图甘波拉导数作为特例。交叉动力学模型定义了四种可选模型:分形分数阶、分数阶、变阶和由分数布朗运动驱动的分数随机导数在四个时间间隔内的变化。设计了Ψ-非标准有限差分法来求解分形分数阶、分数阶和变阶数学模型。此外,还使用了非标准修正欧拉丸山方法来研究分数随机模型。比较了Ψ-非标准有限差分法和Ψ-标准有限差分法。此外,还进行了大量数值测试和与实际数据的比较,以验证方法的有效性并支持理论结论。
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引用次数: 0
FedWFC: Federated learning with weighted fuzzy clustering for handling heterogeneous data in MIoT networks FedWFC:利用加权模糊聚类进行联合学习,处理 MIoT 网络中的异构数据
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.10.033
Le Sun , Shunqi Liu , Ghulam Muhammad
The diversity of sources and uneven distribution of medical data contributes to the statistical heterogeneity within the Medical Internet of Things (MIoT) networks. In this context, comprehensive analysis of patient data is imperative to provide more precise diagnoses and treatment strategies, rendering personalized medical treatment indispensable. Moreover, the transmission of medical data over networks raises concerns regarding data privacy, necessitating thorough consideration. To address these challenges, we propose FedWFC, a federated learning method that combines a novel importance weight with fuzzy k-means clustering to effectively handle the heterogeneous medical data in MIoT networks. Firstly, we utilize fuzzy k-means for clustering and partitioning local model parameters from MIoT devices, enabling centralized updates of multiple global models based on these clusters. This cluster-centric approach streamlines personalized updates for local models. Secondly, the introduction of the new importance weight allows us to tighten the optimization error bound for global model updates. Experiments show that FedWFC improves the macro F1 score by 4.24% and the micro accuracy by 4.99% compared with existing methods, highlighting its effectiveness in MIoT data processing.
医疗数据来源的多样性和分布的不均衡性造成了医疗物联网(MIoT)网络内的统计异质性。在这种情况下,必须对患者数据进行综合分析,以提供更精确的诊断和治疗策略,从而使个性化医疗成为不可或缺的一部分。此外,通过网络传输医疗数据会引发对数据隐私的担忧,因此有必要进行全面考虑。为应对这些挑战,我们提出了一种联合学习方法--FedWFC,该方法结合了新颖的重要性权重和模糊均值聚类,可有效处理 MIoT 网络中的异构医疗数据。首先,我们利用模糊均值法对来自 MIoT 设备的本地模型参数进行聚类和分区,从而能够基于这些聚类对多个全局模型进行集中更新。这种以集群为中心的方法简化了本地模型的个性化更新。其次,新重要性权重的引入使我们能够收紧全局模型更新的优化误差约束。实验表明,与现有方法相比,FedWFC 的宏观 F1 分数提高了 4.24%,微观准确率提高了 4.99%,凸显了其在 MIoT 数据处理中的有效性。
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引用次数: 0
IMCMK-CNN: A lightweight convolutional neural network with Multi-scale Kernels for Image-based Malware Classification IMCMK-CNN:用于图像恶意软件分类的多尺度内核轻量级卷积神经网络
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.10.055
Dandan Zhang, Yafei Song, Qian Xiang, Yang Wang
Rapid and accurate identification of unknown malware and its variants is the premise and basis for the effective prevention of malicious attacks. However, with the explosive growth of malware variants, the efficiency of manual updating of the sample database is getting worse and worse. It is difficult for the traditional identification methods to effectively capture the sample feature information operated by the confusion method only based on the delayed database information. The research into the direction of malware detection is dedicated to surmounting the limitations of conventional detection methodologies, and delves deeply into the application of cutting-edge technologies such as data visualization, machine learning, and hybrid detection within the realm of malware detection. Through these investigations, our goal is to construct a detection system that is both more precise and efficient, capable of addressing the ever-evolving threats to cybersecurity. Pursuing research in this direction is not only vital for enhancing network security defenses and safeguarding user data, but it will also foster the advancement of related state-of-the-art technologies and further mitigate the economic and societal repercussions of malware attacks. In light of this issue, this paper proposes the Image-based Malware Classification with Multi-scale Kernels (IMCMK), a Convolutional Neural Network (CNN) architecture using multi-scale convolution kernels mixing action to improve malware variants detection capabilities. First, we propose the Multi-scale Kernels (MK) block combining deep large kernel convolution and standard small kernel convolution with shortcuts to improve the accuracy. Furthermore, we propose Multi-scale Kernel Fusion (MKF) to reduce the number of parameters that come with the large kernels. The improved Squeeze-and-Excitation (SE) block can obtain the correlation between different channels to further increase the model performance. Experimental results show that IMCMK outperforms the state-of-the-art methods in malware family classification accuracy, which has achieved 99.25 %.
快速准确地识别未知恶意软件及其变种是有效防范恶意攻击的前提和基础。然而,随着恶意软件变种的爆炸式增长,人工更新样本数据库的效率越来越低。传统的识别方法仅基于延迟的数据库信息,难以有效捕捉混淆法操作的样本特征信息。恶意软件检测方向的研究致力于克服传统检测方法的局限性,深入探讨数据可视化、机器学习、混合检测等前沿技术在恶意软件检测领域的应用。通过这些研究,我们的目标是构建一个更精确、更高效的检测系统,以应对不断变化的网络安全威胁。朝着这个方向开展研究不仅对加强网络安全防御和保护用户数据至关重要,而且还能促进相关先进技术的发展,进一步减轻恶意软件攻击对经济和社会造成的影响。有鉴于此,本文提出了基于图像的多尺度内核恶意软件分类(Image-based Malware Classification with Multi-scale Kernels,IMCMK),这是一种使用多尺度卷积内核混合作用的卷积神经网络(CNN)架构,旨在提高恶意软件变种的检测能力。首先,我们提出了多尺度内核(MK)区块,将深度大内核卷积和标准小内核卷积与捷径相结合,以提高准确性。此外,我们还提出了多尺度内核融合(MKF),以减少大内核带来的参数数量。改进的挤压激励(SE)块可以获得不同通道之间的相关性,从而进一步提高模型性能。实验结果表明,IMCMK 的恶意软件族分类准确率超过了最先进的方法,达到了 99.25%。
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引用次数: 0
MGHCN: Multi-graph structures and hypergraph convolutional networks for traffic flow prediction MGHCN:用于交通流量预测的多图结构和超图卷积网络
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.10.022
Xuanxuan Fan , Kaiyuan Qi , Dong Wu , Haonan Xie , Zhijian Qu , Chongguang Ren
Accurate and timely traffic flow predictions are essential for effective traffic management and congestion reduction. However, most traditional prediction methods often fail to capture the complex dynamics and correlations within traffic flows due to insufficient processing of spatiotemporal data. Specifically, these methods struggle to integrate and analyze the multi-layered spatial and temporal interactions inherent in traffic data, leading to suboptimal prediction accuracy and robustness. To address this limitation, this paper presents a Multi-Graph Structures and Hypergraph Convolutional Network (MGHCN) that combines diverse graphs and hypergraphs. The MGHCN simplifies the predictive framework by integrating key components that improve its robustness and accuracy. One of the most critical components is the dual hypergraph structure, which captures edge correlations by converting traditional graph edges into hypergraph nodes. To better capture the spatiotemporal correlation of traffic data, a Graph Convolutional Network (GCN) is employed to analyze these hypergraphs in depth. Finally, a novel adjacency matrix and a dynamic graph module are used to accurately simulate interactions between spatiotemporal features, thereby enhancing the accuracy and robustness of predictions. Experimental validation on four distinct real-world traffic datasets shows that MGHCN outperforms existing state-of-the-art traffic prediction methods.
准确及时的交通流预测对于有效管理交通和减少拥堵至关重要。然而,由于对时空数据的处理不够充分,大多数传统预测方法往往无法捕捉交通流中复杂的动态和相关性。具体来说,这些方法难以整合和分析交通数据中固有的多层次时空交互作用,导致预测精度和鲁棒性达不到最佳水平。为了解决这一局限性,本文提出了一种多图结构和超图卷积网络(MGHCN),它将不同的图和超图结合在一起。MGHCN 通过整合关键组件来简化预测框架,从而提高其稳健性和准确性。其中最关键的部分是双超图结构,它通过将传统图边缘转换为超图节点来捕捉边缘相关性。为了更好地捕捉交通数据的时空相关性,采用了图卷积网络(GCN)来深入分析这些超图。最后,新颖的邻接矩阵和动态图模块用于准确模拟时空特征之间的相互作用,从而提高预测的准确性和鲁棒性。在四个不同的真实交通数据集上进行的实验验证表明,MGHCN 优于现有的最先进交通预测方法。
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引用次数: 0
Analytical study on flow of two non-miscible laminar layers of Newtonian fluids in a curved channel with wall slippage 带有壁面滑动的弯曲通道中两层非混溶层流牛顿流体流动的分析研究
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.10.056
Jafar Hasnain, Nomana Abid
The velocity slippage with combined effects of buoyancy force plays an important role in the extraction of crude oil since it reduces the pressure drop along the pipelines and well-bore. Due to this, it becomes difficult to push the oil out of the reservoir. So, the main goal is to analyse the velocity slip and no-slip on two immiscible viscous fluids flowing in a curved channel with viscous dissipation. To the best of the author's knowledge, there is no study given on two non-miscible laminar Newtonian layers of viscous-viscous fluids. The curved channel is divided into two regions and both regions are occupied with viscous fluids. The flow is caused by the constant pressure gradient and buoyancy force. The analytical solutions of highly nonlinear mathematical equations are obtained using perturbation series by taking ε(=PrEc)1. The impact of the curvature ratio parameter, velocity slips, Reynolds number, buoyancy force, viscosity ratio parameter, and height ratio parameter on heat and mass transfer are examined and presented through graphs. Moreover, the behaviour of shear stresses, skin drag and Nusselt number on both walls of the channel is analyzed and presented through bar charts. It is concluded that the velocities of the immiscible fluids augment by increasing the curvature parameter whereas the temperatures and shear stresses fall. It is also observed that the shear stress at the lower wall is more significant with a rise in curvature parameter in the case when velocity slippage is not considered as compared to velocity slippage.
速度滑移与浮力的综合影响在原油开采中起着重要作用,因为它降低了管道和井筒的压降。因此,很难将石油推出储油层。因此,主要目标是分析两种不相溶粘性流体在具有粘性耗散的弯曲通道中流动时的速度滑移和无滑移。据笔者所知,目前还没有关于两层非混溶层流牛顿粘粘流体的研究。弯曲通道被分为两个区域,两个区域都有粘性流体。流动是由恒定的压力梯度和浮力引起的。利用ε(=PrEc)≪1,通过扰动级数得到高度非线性数学方程的解析解。研究了曲率比参数、速度滑移、雷诺数、浮力、粘度比参数和高度比参数对传热和传质的影响,并通过图表进行了展示。此外,还分析了通道两侧壁上的剪应力、表皮阻力和努塞尔特数,并通过柱状图进行了展示。结论是,随着曲率参数的增加,不相溶流体的速度增加,而温度和剪应力下降。另外还观察到,与速度滑移相比,在不考虑速度滑移的情况下,曲率参数升高时下部壁面的剪应力更为显著。
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引用次数: 0
Real-time monitoring of lower limb movement resistance based on deep learning 基于深度学习的下肢运动阻力实时监测
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.09.031
Burenbatu , Yuanmeng Liu , Tianyi Lyu
Real-time lower limb movement resistance monitoring is critical for various applications in clinical and sports settings, such as rehabilitation and athletic training. Current methods often face limitations in accuracy, computational efficiency, and generalizability, which hinder their practical implementation. To address these challenges, we propose a novel Mobile Multi-Task Learning Network (MMTL-Net) that integrates MobileNetV3 for efficient feature extraction and employs multi-task learning to simultaneously predict resistance levels and recognize activities. The advantages of MMTL-Net include enhanced accuracy, reduced latency, and improved computational efficiency, making it highly suitable for real-time applications. Experimental results demonstrate that MMTL-Net significantly outperforms existing models on the UCI Human Activity Recognition and Wireless Sensor Data Mining Activity Prediction datasets, achieving a lower Force Error Rate (FER) of 6.8% and a higher Resistance Prediction Accuracy (RPA) of 91.2%. Additionally, the model shows a Real-time Responsiveness (RTR) of 12 ms and a Throughput (TP) of 33 frames per second. These findings underscore the model’s robustness and effectiveness in diverse real-world scenarios. The proposed framework not only advances the state-of-the-art in resistance monitoring but also paves the way for more efficient and accurate systems in clinical and sports applications. In real-world settings, the practical implications of MMTL-Net include its potential to enhance patient outcomes in rehabilitation and improve athletic performance through precise, real-time monitoring and feedback.
实时下肢运动阻力监测对于康复和运动训练等临床和体育领域的各种应用至关重要。目前的方法往往在准确性、计算效率和通用性方面存在局限性,这阻碍了它们的实际应用。为了应对这些挑战,我们提出了一种新颖的移动多任务学习网络(MMTL-Net),它集成了 MobileNetV3 以实现高效特征提取,并采用多任务学习同时预测阻力水平和识别活动。MMTL-Net 的优势包括提高准确性、减少延迟和提高计算效率,因此非常适合实时应用。实验结果表明,MMTL-Net 在 UCI 人类活动识别和无线传感器数据挖掘活动预测数据集上的表现明显优于现有模型,力误差率 (FER) 低至 6.8%,阻力预测准确率 (RPA) 高达 91.2%。此外,该模型的实时响应速度 (RTR) 为 12 毫秒,吞吐量 (TP) 为每秒 33 帧。这些研究结果表明,该模型在不同的真实世界场景中都具有鲁棒性和有效性。所提出的框架不仅推进了阻力监测领域的先进技术,还为临床和体育应用中更高效、更准确的系统铺平了道路。在现实世界中,MMTL-Net 的实际意义包括通过精确、实时的监测和反馈,提高患者的康复效果和运动成绩。
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引用次数: 0
Keller-box based computational investigation of magnetized gravity-driven Micropolar nanofluid flow past an exponentially contracting surface with cross diffusion effect and engineering applications 基于凯勒方框的磁化重力驱动微波纳米流体流过具有交叉扩散效应的指数收缩表面的计算研究与工程应用
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.10.003
Marouan Kouki , Saira Shukat , Ikram Ullah , Mohammad Mahtab Alam , Ali Hasan Ali
Transport of heat in combustion engines, burners and consumption of energy via nuclear explosions is remarkably effected by magnetize nanofluid and radiation. Present attempt is relevant to the current Engineering applications; as design of heat exchangers, systems of renewable energy, and Nanotechnology. Therefore, main concern of the study is explored the radiative flux in Micropolar nanofluid flow under the Lorentz force and gravity modulation. The impacts of cross diffusion is also included in flow field. The mathematical model governing the flow are transformed into ODEs via similarity variables. The Keller box approach is utilized for numerical outcomes. A comprehensive analysis of the physical parameters is carried out, and numerical outcomes are displayed in graphical and tabular form. Obtained outcomes are compared with results that have already been published and found a good match. It has been found that temperature profile and concentration profile have a direct relation against Soret and Dufour respectively. Temperature profile and concentration profile has a direct relation against Dufour and Soret effects. Thermal field grows by enhancing radiation, Brownian motion and thermophoresis parameter. Furthermore, the skin friction.increases as the inclination factor grows up, but Nusselt and Sherwood numbers decline.
磁化纳米流体和辐射对内燃机、燃烧器中的热量传输以及核爆炸中的能量消耗有显著影响。目前的尝试与当前的工程应用相关,如热交换器设计、可再生能源系统和纳米技术。因此,研究的主要关注点是探索在洛伦兹力和重力调制下微极性纳米流体流动中的辐射通量。流场中还包括交叉扩散的影响。支配流动的数学模型通过相似变量转化为 ODE。数值结果采用凯勒盒方法。对物理参数进行了综合分析,并以图形和表格形式显示了数值结果。获得的结果与已发表的结果进行了比较,发现两者非常吻合。研究发现,温度曲线和浓度曲线分别与 Soret 和 Dufour 有直接关系。温度曲线和浓度曲线与杜富尔效应和索雷特效应有直接关系。热场通过增强辐射、布朗运动和热泳参数而增长。此外,随着倾角系数的增大,表皮摩擦力增加,但努塞尔特数和舍伍德数下降。
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引用次数: 0
Volumetric error modeling and prediction for machine tools based on key component tolerance 基于关键部件公差的机床体积误差建模和预测
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.10.051
Jinwei Fan, Zhuang Li, Ri Pan, Kun Sun, Kai Chen
Accurate volumetric error model is the basis for accuracy design. In this paper, a universal model for volumetric error prediction considering tolerance is proposed. Firstly, geometric error parameters are obtained by analysing the motion forms of key components. Secondly, the map between geometric error and tolerance is developed using Fourier function. Subsequently, the volumetric error prediction model (VEPM) is established based on key component tolerance. The model was applied to guide the development of machine tools. Finally, model validation experiments are carried out with two configurations of machine tools. The results show that, for the horizontal grinder, the predicted values for ±45° diagonal errors are 0–2.7 μm and 0–4.5 μm, which are consistent with the measured average values of 0.03–2.33 μm and −0.10–5.46 μm, respectively. Moreover, the predicted and measured values for +45° diagonal error of the vertical grinder are −15.0–0 μm and −15.07–0 μm, respectively. The experimental results illustrate the VEPM is effective and universal. The model has the potential to be applied to the design and development of machine tools.
精确的体积误差模型是精度设计的基础。本文提出了一种考虑公差的通用体积误差预测模型。首先,通过分析关键部件的运动形式获得几何误差参数。其次,利用傅立叶函数建立几何误差与公差之间的映射关系。随后,根据关键部件公差建立体积误差预测模型(VEPM)。该模型用于指导机床的开发。最后,用两种配置的机床进行了模型验证实验。结果表明,对于卧式磨床,±45° 对角线误差的预测值分别为 0-2.7 μm 和 0-4.5 μm,与测量平均值 0.03-2.33 μm 和 -0.10-5.46 μm 相符。此外,垂直磨床 +45° 对角线误差的预测值和测量值分别为 -15.0-0 μm 和 -15.07-0 μm。实验结果表明,VEPM 是有效和通用的。该模型有望应用于机床的设计和开发。
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引用次数: 0
Hybrid dung beetle optimization based dimensionality reduction with deep learning based cybersecurity solution on IoT environment 基于物联网环境的混合蜣螂优化降维与基于深度学习的网络安全解决方案
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.aej.2024.10.053
Amal K. Alkhalifa , Nuha Alruwais , Wahida Mansouri , Munya A. Arasi , Mohammed Alliheedi , Fouad Shoie Alallah , Alaa O. Khadidos , Abdulrhman Alshareef
The Internet of Things (IoT) interconnects various devices and objects through the Internet to interact with corresponding devices or machines. Now, consumers can purchase many internet-connected products, from automobiles to refrigerators. Extending network capacities to every aspect of life can save money and time, increase efficiency, and enable greater access to digital experiences. Cybersecurity analysts often refer to this as increasing the attack surface from which hackers can benefit. Implementing the proper security measures is crucial since IoT devices can be vulnerable to cyberattacks and are often built with limited security features. Securing IoT devices involves implementing security measures and best practices to secure them from potential vulnerabilities and threats. Deep learning (DL) models have recently analyzed the network pattern for detecting and responding to possible intrusions, improving cybersecurity with advanced threat detection abilities. Therefore, this study presents a new Hybrid Dung Beetle Optimization-based Dimensionality Reduction with a Deep Learning-based Cybersecurity Solution (HDBODR-DLCS) method on the IoT network. The primary goal of the HDBODR-DLCS technique is to perform dimensionality reduction with a hyperparameter tuning process for enhanced detection results. In the primary stage, the HDBODR-DLCS technique involves Z-score normalization to measure the input dataset. The HDBO model is used for dimensionality reduction, which mainly selects the relevant features and discards the irrelevant features. Besides, intrusions are detected using the attention bidirectional recurrent neural network (ABiRNN) model. Finally, an artificial rabbits optimization (ARO) based hyperparameter tuning process is performed, enhancing the overall classification performance. The empirical analysis of the HDBODR-DLCS method is tested under the benchmark IDS dataset. The simulation outcomes indicated the HDBODR-DLCS method's improved abilities over existing approaches.
物联网(IoT)通过互联网将各种设备和物体互联起来,与相应的设备或机器进行互动。现在,消费者可以购买从汽车到冰箱等许多与互联网连接的产品。将网络容量扩展到生活的方方面面,可以节省金钱和时间,提高效率,并能获得更多数字体验。网络安全分析师通常将此称为增加攻击面,让黑客从中获益。实施适当的安全措施至关重要,因为物联网设备很容易受到网络攻击,而且其安全功能往往有限。要确保物联网设备的安全,就必须实施安全措施和最佳实践,使其免受潜在漏洞和威胁的攻击。最近,深度学习(DL)模型对网络模式进行了分析,以检测和应对可能的入侵,通过先进的威胁检测能力提高网络安全。因此,本研究针对物联网网络提出了一种基于深度学习的网络安全解决方案(HDBODR-DLCS)的新型混合蜣螂优化降维方法。HDBODR-DLCS 技术的主要目标是通过超参数调整过程进行降维,以增强检测结果。在初级阶段,HDBODR-DLCS 技术采用 Z 分数归一化来测量输入数据集。HDBO 模型用于降维,主要选择相关特征,剔除不相关特征。此外,入侵检测采用注意力双向递归神经网络(ABiRNN)模型。最后,还进行了基于人工兔子优化(ARO)的超参数调整,从而提高了整体分类性能。在基准 IDS 数据集下对 HDBODR-DLCS 方法进行了实证分析测试。模拟结果表明,与现有方法相比,HDBODR-DLCS 方法的能力有所提高。
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引用次数: 0
Exploring damped and undamped frequencies in beam structures with viscoelastic supports using GFEM and state-space formulation 利用 GFEM 和状态空间公式探索带有粘弹性支撑的梁结构中的阻尼频率和无阻尼频率
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-10-21 DOI: 10.1016/j.aej.2024.09.112
Gulnaz Kanwal , Hani Alahmadi , Rab Nawaz , Tayyab Nawaz
This study introduces a novel analytical and numerical framework for determining the damped and undamped frequencies of elastically restrained Euler–Bernoulli (EB) and shear beams (SB) supported by two-parameter (visco-Winkler) and three-parameter (visco-Pasternak) viscoelastic foundations (VF). The scientific novelty lies in extending the classical separation of variables approach and coupling it with eigenvalue-based dispersion relations to derive an innovative spatial matrix formulation for displacements, slopes, and their derivatives. This method provides enhanced accuracy and robustness, especially in modeling complex vibrational behavior in the presence of damping and shear effects, a challenge often encountered in conventional studies. The research further integrates the Galerkin finite element method (GFEM) to offer a shear locking-free solution, demonstrating convergence to exact results, and thereby addressing critical limitations in previous methods. Additionally, the study introduces the application of state-space formulations combined with the Runge–Kutta method (RK4) to precisely analyze the response of damped systems, which adds significant value in exploring complex beam dynamics. Through a comprehensive comparison of analytical and finite element methods (FEM), the findings are validated and visualized under varying damping conditions, providing practical insights for the design and optimization of structures with viscoelastic supports. The contributions of this work include not only a deeper understanding of the interaction between damping, foundation stiffness, and structural dynamics but also the development of a versatile and scalable approach that broadens the applicability of beam models in advanced engineering applications.
本研究介绍了一种新的分析和数值框架,用于确定弹性约束的欧拉-伯努利梁(EB)和由双参数(粘滞-温克勒)和三参数(粘滞-帕斯捷尔纳克)粘滞弹性地基(VF)支撑的剪力梁(SB)的阻尼频率和无阻尼频率。其科学新颖性在于扩展了经典的变量分离方法,并将其与基于特征值的分散关系相结合,从而为位移、斜坡及其导数推导出创新的空间矩阵公式。这种方法提高了准确性和稳健性,尤其是在模拟存在阻尼和剪切效应的复杂振动行为时,这是传统研究中经常遇到的难题。研究进一步整合了 Galerkin 有限元方法 (GFEM),提供了一种无剪切锁定的解决方案,证明了对精确结果的收敛性,从而解决了以往方法的关键局限性。此外,研究还介绍了结合 Runge-Kutta 方法 (RK4) 的状态空间公式的应用,以精确分析阻尼系统的响应,这为探索复杂的梁动力学增加了重要价值。通过分析方法和有限元方法(FEM)的综合比较,研究结果在不同阻尼条件下得到了验证和可视化,为粘弹性支撑结构的设计和优化提供了实用见解。这项工作的贡献不仅包括加深了对阻尼、地基刚度和结构动力学之间相互作用的理解,还包括开发了一种多功能、可扩展的方法,拓宽了梁模型在先进工程应用中的适用性。
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引用次数: 0
期刊
alexandria engineering journal
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