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Analysis of bridge vibration response for identification of bridge damage using BP neural network 基于BP神经网络的桥梁振动响应分析与损伤识别
IF 8.3 Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0273
Rui Wu, Chong Zhang
Abstract In this article, the authors propose a method to identify the bridge damage using a backpropagation (BP) neural network. It uses bridge vibration response to solve the accuracy of bridge damage. A particle swarm optimization algorithm based on chaotic mutation is adopted to perform chaotic mutation operations and make the group jump out of the local optimum. CPSO (particle swarm optimization algorithm based on chaotic variation) algorithm can make up for the BP neural network model, easy to fall into the shortcomings of local optima, so the author will combine the two algorithms and discuss the environmental data of the bridge. Establishing a finite element model of the bridge through actual analysis, through data comparison, comparing the frequencies of the intact stages with the frequencies of the damaged stages, and verifying the neural network with random samples, for the degree of bridge damage, we get the root mean square error m s e mse and the correlation coefficient r. The result shows that the root mean square error m s e = 0.003196 mse=0.003196 , and the correlation coefficient r = 0.9654 r=0.9654 . There are only a few individual points; it seems that the relative error is relatively large. The rest of the fit is basically the same; it can meet the factors of vibration through the environment and perform damage identification for the structural damage monitoring of the bridge. Using the BP neural network model optimized by chaotic particle swarms, combined with the modal analysis of environmental vibration, it can be used in the monitoring of the health structure of the bridge, plays a certain recognition effect, and provides a new technical idea.
摘要本文提出了一种基于BP神经网络的桥梁损伤识别方法。利用桥梁振动响应来解决桥梁损伤的精度问题。采用基于混沌突变的粒子群优化算法进行混沌突变操作,使群体跳出局部最优。CPSO(基于混沌变异的粒子群优化算法)算法可以弥补BP神经网络模型容易陷入局部最优的缺点,因此笔者将两种算法结合起来,对桥梁的环境数据进行讨论。建立一个桥的有限元模型通过实际分析,通过数据的比较,比较完整的频率阶段和破坏阶段的频率,并与随机抽样验证神经网络,对桥梁损伤的程度,我们得到均方根误差m s e mse和相关系数r。结果表明,均方根误差m s e = 0.003196 mse = 0.003196,和相关系数r = 0.9654 r = 0.9654。只有几个单独的点;看来相对误差比较大。其余的贴合基本相同;它能通过环境满足振动因素,对桥梁结构损伤监测进行损伤识别。利用混沌粒子群优化的BP神经网络模型,结合环境振动的模态分析,可用于桥梁健康结构的监测,起到一定的识别效果,并提供了新的技术思路。
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引用次数: 0
Influence of joint flexibility on buckling analysis of free–free beams 节点柔度对自由-自由梁屈曲分析的影响
IF 8.3 Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0274
D. V. Ramana Reddy, K. T. Balaram Padal, Jagadish Babu Gunda
Abstract In this work, an application of two noded beam finite element methodology, which is demonstrated in the previous research work for vibration analysis of beam with a flexible joint problem, has been further extended here to investigate the buckling behaviour of free–free beam subjected to an in-plane compressive load. Joint is modelled as rotational spring, where the rotational spring stiffness governs the behaviour of the flexible joint. Variation of first five non-dimensional buckling loads of free–free beam with reference to the joint location as well as joint stiffness parameters are briefly presented. It is understood that looseness of the joint can significantly influence the buckling behaviour of free–free beam and plays an important role in accurately determining the buckling behaviour of jointed beams subjected to an in-plane compressive loads.
摘要本文将两节点梁有限元方法应用于具有柔性节点问题的梁的振动分析中,进一步扩展到研究自由-自由梁在面内压缩载荷作用下的屈曲行为。关节建模为旋转弹簧,其中旋转弹簧的刚度决定了柔性关节的行为。简要介绍了自由-自由梁前五次无量纲屈曲载荷随节点位置和节点刚度参数的变化规律。节点的松动程度对自由-自由梁的屈曲行为有显著影响,对准确确定受面内压缩载荷作用的连接梁的屈曲行为起着重要作用。
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引用次数: 0
On duality principles and related convex dual formulations suitable for local and global non-convex variational optimization 适用于局部和全局非凸变分优化的对偶原理及相关凸对偶公式
Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0343
Fabio Silva Botelho
Abstract This article develops duality principles, a related convex dual formulation and primal dual formulations suitable for the local and global optimization of non convex primal formulations for a large class of models in physics and engineering. The results are based on standard tools of functional analysis, calculus of variations and duality theory. In particular, we develop applications to a Ginzburg–Landau type equation. Other applications include primal dual variational formulations for a Burger’s type equation and a Navier–Stokes system. We emphasize the novelty here is that the first dual variational formulation developed is convex for a primal formulation which is originally non-convex. Finally, we also highlight the primal dual variational formulations presented have a large region of convexity around any of their critical points.
摘要本文针对物理和工程中的一大类模型,给出了对偶原理、相应的凸对偶公式和适合于非凸原始公式的局部和全局优化的原始对偶公式。结果是基于泛函分析,变分演算和对偶理论的标准工具。特别地,我们开发了对金兹堡-朗道型方程的应用。其他应用包括Burger型方程和Navier-Stokes系统的原始对偶变分公式。我们强调这里的新颖性是,第一个对偶变分公式的发展是凸的原始公式,原来是非凸的。最后,我们还强调了所提出的原始对偶变分公式在其任何临界点周围都有一个大的凸区域。
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引用次数: 0
Mathematical analysis of the transmission dynamics of viral infection with effective control policies via fractional derivative 基于分数阶导数的有效控制策略下病毒传播动力学的数学分析
Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0342
Rashid Jan, Normy Norfiza Abdul Razak, Salah Boulaaras, Ziad Ur Rehman, Salma Bahramand
Abstract It is well known that viral infections have a high impact on public health in multiple ways, including disease burden, outbreaks and pandemic, economic consequences, emergency response, strain on healthcare systems, psychological and social effects, and the importance of vaccination. Mathematical models of viral infections help policymakers and researchers to understand how diseases can spread, predict the potential impact of interventions, and make informed decisions to control and manage outbreaks. In this work, we formulate a mathematical model for the transmission dynamics of COVID-19 in the framework of a fractional derivative. For the analysis of the recommended model, the fundamental concepts and results are presented. For the validity of the model, we have proven that the solutions of the recommended model are positive and bounded. The qualitative and quantitative analyses of the proposed dynamics have been carried out in this research work. To ensure the existence and uniqueness of the proposed COVID-19 dynamics, we employ fixed-point theorems such as Schaefer and Banach. In addition to this, we establish stability results for the system of COVID-19 infection through mathematical skills. To assess the influence of input parameters on the proposed dynamics of the infection, we analyzed the solution pathways using the Laplace Adomian decomposition approach. Moreover, we performed different simulations to conceptualize the role of input parameters on the dynamics of the infection. These simulations provide visualizations of key factors and aid public health officials in implementing effective measures to control the spread of the virus.
众所周知,病毒感染在多种方面对公共卫生产生重大影响,包括疾病负担、疫情和大流行、经济后果、应急响应、卫生保健系统压力、心理和社会影响以及疫苗接种的重要性。病毒感染的数学模型帮助决策者和研究人员了解疾病如何传播,预测干预措施的潜在影响,并做出明智的决定来控制和管理疫情。在这项工作中,我们在分数阶导数的框架下建立了COVID-19传播动力学的数学模型。对于推荐模型的分析,给出了基本概念和结果。为了模型的有效性,我们证明了推荐模型的解是正的和有界的。本研究对所提出的动力学进行了定性和定量分析。为了保证所提出的COVID-19动力学的存在唯一性,我们采用了Schaefer和Banach等不动点定理。除此之外,我们还通过数学技巧建立了COVID-19感染系统的稳定性结果。为了评估输入参数对感染动力学的影响,我们使用拉普拉斯阿多米安分解方法分析了解决途径。此外,我们进行了不同的模拟来概念化输入参数对感染动力学的作用。这些模拟提供了关键因素的可视化,并帮助公共卫生官员实施有效措施来控制病毒的传播。
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引用次数: 0
Analysis of multimedia technology and mobile learning in English teaching in colleges and universities 多媒体技术与移动学习在高校英语教学中的应用分析
IF 8.3 Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0300
Ruixia Liu
Abstract Multimedia and mobile learning are effective teaching tools because of their many useful characteristics. Transmission of educational material to students is facilitated by technology in both multimedia and mobile learning environments. A more interesting and engaging learning experience may be achieved by combining text, graphics, music, video, and animation. Media-rich classrooms are often referred to as “multimedia learning.” In contrast, students who use mobile learning may access their courses from any place with an internet connection and a mobile device such as a smartphone or a tablet. Whenever this involves commonplace technological needs, its cellular gadget and notably its clever telephone take the cake. Smartphone gadgets have a very wide range of potential applications and uses. Some ethical considerations are preventing media from reinforcing stereotypes or prejudice in the communities where they are utilized. Student information are gathered and used in a way that protects their privacy, with materials required for students to engage in mobile learning, and respecting intellectual property and copyright regulations while using multimedia language-learning tools. This importance of learning cannot be overstated but when such results come, mobile devices have increasingly been used in schools. This question of whether mobile devices have an impact on education remains open. Because of such “mobile gaining knowledge,” along with an overall phrase describing researching where different devices could be utilized in combination to enhance schooling, mobile devices had become more popular. Because today’s kids utilize their mobile devices frequently, studies on their effect on word learning are immediately required. This pilot research seeks to understand why school learners think via smartphone-based L2 exercises. In particular, this study collects data about several plenty applications using cell phones in linguistic research. Two hundred and ninety-four college children from one top Turkish institution participated in this research. This project uses some hybrid reporting models and relies on description analysis over its methodology. Their results show that users place one high value on obtaining ready accessibility to materials while studying some foreign language. Respondents not only remarked about their cellphone’s portability but also proposed new applications for enhancing their learning in other countries.
多媒体和移动学习因其许多有用的特性而成为有效的教学工具。多媒体和移动学习环境中的技术促进了教育材料向学生的传播。通过结合文字、图形、音乐、视频和动画,可以获得更有趣、更吸引人的学习体验。多媒体教室通常被称为“多媒体学习”。相比之下,使用移动学习的学生可以从任何有互联网连接的地方和智能手机或平板电脑等移动设备访问他们的课程。无论何时,只要涉及到普通的技术需求,它的移动设备,尤其是它的智能电话就会独占鳌头。智能手机有非常广泛的潜在应用和用途。一些道德方面的考虑妨碍了媒体在使用这些成见或偏见的社区中加强这些成见或偏见。在使用多媒体语言学习工具时,收集和使用学生信息的方式保护了他们的隐私,并提供了学生从事移动学习所需的材料,并尊重知识产权和版权法规。学习的重要性怎么强调都不为过,但当这样的结果出现时,移动设备已经越来越多地在学校使用了。移动设备是否对教育有影响这个问题仍然悬而未决。由于这种“移动获取知识”,以及一个描述研究不同设备可以组合使用以增强教育的整体短语,移动设备变得越来越受欢迎。因为今天的孩子们经常使用他们的移动设备,研究他们对单词学习的影响是迫切需要的。这项试点研究旨在理解为什么学校学习者通过基于智能手机的第二语言练习进行思考。特别地,本研究收集了手机在语言学研究中的几个大量应用的数据。来自土耳其一所顶尖学府的294名大学生参与了这项研究。该项目使用了一些混合报告模型,并依赖于其方法上的描述分析。他们的研究结果表明,在学习外语时,用户非常重视获取现成的材料。受访者不仅评论了他们的手机的便携性,还提出了新的应用程序,以加强他们在其他国家的学习。
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引用次数: 1
Explicit Chebyshev Petrov–Galerkin scheme for time-fractional fourth-order uniform Euler–Bernoulli pinned–pinned beam equation 时间分数阶四阶均匀Euler-Bernoulli钉钉梁方程的显式Chebyshev Petrov-Galerkin格式
IF 8.3 Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0308
Mohamed Moustafa, Youssri Hassan Youssri, A. G. Atta
Abstract In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam. The method is based on applying the Petrov–Galerkin procedure to discretize the differential problem into a system of linear algebraic equations with unknown expansion coefficients. Using the efficient Gaussian elimination procedure, we solve the obtained system of equations with matrices of a particular pattern. The L ∞ {L}_{infty } and L 2 {L}_{2} norms estimate the error bound. Three numerical examples were exhibited to verify the theoretical analysis and efficiency of the newly developed algorithm.
本文建立了切比雪夫多项式的紧凑组合,并将其作为时间分数阶四阶欧拉-伯努利钉钉梁的空间基。该方法采用Petrov-Galerkin过程将微分问题离散为具有未知展开系数的线性代数方程组。利用有效的高斯消去法,我们求解了得到的具有特定模式矩阵的方程组。L∞{L_}{infty和}l2 {l2}范{数估计误差界。通过三个算例验证了该算法的理论分析和有效性。}
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引用次数: 3
A novel hybrid ensemble convolutional neural network for face recognition by optimizing hyperparameters 基于超参数优化的混合集成卷积神经网络人脸识别
IF 8.3 Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0290
Shahina Anwarul, T. Choudhury, Susheela Dahiya
Abstract A fully fledged face recognition system consists of face detection, face alignment, and face recognition. Facial recognition has been challenging due to various unconstrained factors such as pose variation, illumination, aging, partial occlusion, low resolution, etc. The traditional approaches to face recognition have some limitations in an unconstrained environment. Therefore, the task of face recognition is improved using various deep learning architectures. Though the contemporary deep learning techniques for face recognition systems improved overall efficiency, a resilient and efficacious system is still required. Therefore, we proposed a hybrid ensemble convolutional neural network (HE-CNN) framework using ensemble transfer learning from the modified pre-trained models for face recognition. The concept of progressive training is used for training the model that significantly enhanced the recognition accuracy. The proposed modifications in the classification layers and training process generated best-in-class results and improved the recognition accuracy. Further, the suggested model is evaluated using a self-created criminal dataset to demonstrate the use of facial recognition in real-time. The suggested HE-CNN model obtained an accuracy of 99.35, 91.58, and 95% on labeled faces in the wild (LFW), cross pose LFW, and self-created datasets, respectively.
一个成熟的人脸识别系统由人脸检测、人脸对齐和人脸识别三个部分组成。由于姿态变化、光照、老化、局部遮挡、低分辨率等各种不受约束的因素,面部识别一直具有挑战性。传统的人脸识别方法在非约束环境下存在一定的局限性。因此,使用各种深度学习架构改进了人脸识别任务。虽然当代人脸识别系统的深度学习技术提高了整体效率,但仍然需要一个弹性和有效的系统。因此,我们提出了一个混合集成卷积神经网络(HE-CNN)框架,利用改进的预训练模型的集成迁移学习进行人脸识别。采用渐进式训练的概念对模型进行训练,显著提高了识别准确率。在分类层和训练过程中提出的修改产生了同类最佳的结果,提高了识别精度。此外,使用自创建的犯罪数据集对建议的模型进行评估,以演示实时使用面部识别。本文提出的HE-CNN模型在野外标记人脸(LFW)、交叉姿态LFW和自创建数据集上的准确率分别为99.35%、91.58和95%。
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引用次数: 0
Convolutional neural network for UAV image processing and navigation in tree plantations based on deep learning 基于深度学习的人工林地无人机图像处理与导航卷积神经网络
IF 8.3 Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0299
Shuiqing Xiao
Abstract In this study, we show a new way for a small unmanned aerial vehicle (UAV) to move around on its own in the plantations of the tree using a single camera only. To avoid running into trees, a control plan was put into place. The detection model looks at the image heights of the trees it finds to figure out how far away they are from the UAV. It then looks at the widths of the image between the trees without any obstacles to finding the largest space. The purpose of this research is to investigate how virtual reality (VR) may improve student engagement and outcomes in the classroom. The emotional consequences of virtual reality on learning, such as motivation and enjoyment, are also explored, making this fascinating research. To investigate virtual reality’s potential as a creative and immersive tool for boosting educational experiences, the study adopts a controlled experimental method. This study’s most significant contributions are the empirical evidence it provides for the efficacy of virtual reality in education, the illumination of the impact VR has on various aspects of learning, and the recommendations it offers to educators on how to make the most of VR in the classroom.
在这项研究中,我们展示了一种新的方法,使小型无人机(UAV)仅使用单个相机在树木种植园中自行移动。为了避免撞到树,制定了一个控制计划。检测模型查看图像中树木的高度,以计算出它们离无人机有多远。然后,它会在没有任何障碍的情况下查看树木之间的图像宽度,以找到最大的空间。本研究的目的是调查虚拟现实(VR)如何提高学生在课堂上的参与度和成果。虚拟现实对学习的情感影响,如动机和享受,也进行了探索,使这个有趣的研究。为了研究虚拟现实作为一种创造性和沉浸式的提高教育体验的工具的潜力,本研究采用了一种对照实验方法。这项研究最重要的贡献是它为虚拟现实在教育中的功效提供了经验证据,阐明了VR对学习各个方面的影响,并为教育工作者提供了如何在课堂上充分利用VR的建议。
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引用次数: 0
Video face target detection and tracking algorithm based on nonlinear sequence Monte Carlo filtering technique 基于非线性序列蒙特卡罗滤波技术的视频人脸目标检测与跟踪算法
Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0329
Yunming Du, Yi Liu, Jing Tian
Abstract In order to achieve facial object detection and tracking in video, a method based on nonlinear sequence Monte Carlo filtering technology is proposed. The algorithm is simple, effective, and easy to operate, which can solve the problems of scale change and occlusion in the process of online learning tracking, so as to ensure the smooth implementation of learning effect evaluation. Experimental methods should be added to the article summary section. The results show that the algorithm in this study outperforms the basic KCF in terms of evaluation accuracy and success rate, as well as outperforms other tracker algorithms in benchmark, achieving scores of 0.837 and 0.705, respectively. In terms of overlapping accuracy, the reason why this study’s algorithm is higher than KCF is that this study determines the tracking status of the current target by calculating the primary side regulated (PSR) value when the target is obscured or lost, which does not make the tracking error to accumulate. The tracking algorithm in this study is not ranked first in the two attributes of motion blur and low resolution, but the rankings of all other nine attributes belong to the first. Compared with the KCF algorithm, the accuracy plots for the three attributes of scale change, occlusion, and leaving the field of view are improved by 10.26, 13.48, and 13.04%, respectively. Thus, it is proved that the method based on nonlinear sequence Monte Carlo filtering technology can achieve video facial object detection and tracking.
摘要为了实现视频中人脸目标的检测与跟踪,提出了一种基于非线性序列蒙特卡罗滤波技术的人脸目标检测与跟踪方法。该算法简单有效,易于操作,能够解决在线学习跟踪过程中的尺度变化和遮挡问题,从而保证学习效果评估的顺利实施。实验方法应添加到文章摘要部分。结果表明,本研究算法在评估准确率和成功率方面优于基本KCF,在基准测试中优于其他跟踪算法,得分分别为0.837和0.705。在重叠精度方面,本研究算法之所以高于KCF,是因为本研究通过计算目标被遮挡或丢失时的初级侧调节(primary side regulated, PSR)值来确定当前目标的跟踪状态,不会使跟踪误差累积。本研究中的跟踪算法在运动模糊和低分辨率这两个属性上并没有排名第一,但其他九个属性的排名都属于第一。与KCF算法相比,尺度变化、遮挡和离开视场三个属性的精度图分别提高了10.26、13.48和13.04%。从而证明了基于非线性序列蒙特卡罗滤波技术的方法可以实现视频人脸目标的检测与跟踪。
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引用次数: 0
Mathematical prediction model construction of network packet loss rate and nonlinear mapping user experience under the Internet of Things 物联网下网络丢包率的数学预测模型构建与用户体验的非线性映射
Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0309
Bin Fan, B. Nagaraj
Abstract In order to further improve the prediction accuracy, the network packet loss rate (PLR) prediction mathematical model based on the Internet of Things (IoTs) was proposed. First, the network data transmission module was established, and the network PLR prediction process was developed based on IoTs; second, the prediction framework of PLR was designed to obtain more accurate prior information. The relationship between PLR and user experience quality QoE is univariate and nonlinear. The mapping between PLR and user experience quality QoE is established using univariate nonlinear regression analysis; finally, a mathematical model of network PLR prediction is constructed to further improve the prediction accuracy. Experimental results show that the delays of network nodes are all within 5 s, which can ensure the real-time nature of data transmission. When the total number of packets and the number of lost packets are the same, the PLR predicted by the mathematical model designed by the authors is consistent with the actual PLR. Conclusion: The prediction effect of the model is better and has higher promotion value.
摘要为了进一步提高预测精度,提出了基于物联网(iot)的网络丢包率(PLR)预测数学模型。首先,建立了网络数据传输模块,开发了基于物联网的网络PLR预测流程;其次,设计PLR预测框架,获得更准确的先验信息;PLR与用户体验质量QoE之间存在单变量非线性关系。利用单变量非线性回归分析建立了用户体验质量QoE与PLR之间的映射关系;最后,建立了网络PLR预测的数学模型,进一步提高了网络PLR预测的精度。实验结果表明,网络节点时延均在5s以内,保证了数据传输的实时性。当总包数和丢包数相同时,所设计的数学模型预测的PLR与实际PLR一致。结论:该模型预测效果较好,具有较高的推广价值。
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引用次数: 0
期刊
Nonlinear Engineering - Modeling and Application
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