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Variational principles for a double Rayleigh beam system undergoing vibrations and connected by a nonlinear Winkler–Pasternak elastic layer 非线性温克勒-帕斯捷尔纳克弹性层连接的振动双瑞利梁系统的变分原理
IF 8.3 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0259
S. Adali
Abstract Variational principles and variationally consistent boundary conditions are derived for a system of double Rayleigh beams undergoing vibrations and subject to axial loads. The elastic layer connecting the beams are modelled as a three-parameter nonlinear Winkler–Pasternak layer with the Winkler layer having linear and nonlinear components and Pasternak layer having only a linear component. Variational principles are derived for the forced and freely vibrating double beam system using a semi-inverse approach. Hamilton’s principle for the system is given and the Rayleigh quotients are derived for the vibration frequency of the freely vibrating system and for the buckling load. Natural and geometric variationally consistent boundary conditions are derived which leads to a set of coupled boundary conditions due to the presence of Pasternak layer connecting the beams.
摘要推导了双瑞利梁受轴向载荷振动系统的变分原理和变分一致边界条件。将连接梁的弹性层建模为三参数非线性温克勒-帕斯捷尔纳克层,其中温克勒层具有线性和非线性分量,而帕斯捷尔纳克层仅具有线性分量。采用半逆方法推导了受迫和自由振动双梁系统的变分原理。给出了系统的Hamilton原理,推导了自由振动系统的振动频率和屈曲载荷的瑞利商。导出了自然变分一致和几何变分一致的边界条件,由于存在连接梁的帕斯捷尔纳克层而导致了一组耦合的边界条件。
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引用次数: 0
New kink-periodic and convex–concave-periodic solutions to the modified regularized long wave equation by means of modified rational trigonometric–hyperbolic functions 用修正有理三角双曲函数求解修正正则长波方程的新扭周期解和凸凹周期解
IF 8.3 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0307
M. Alquran, Omar Najadat, Mohammed Ali, S. Qureshi
Abstract The significance of different types of periodic solutions in nonlinear equations is vital across various practical applications. Our objective in this study was to uncover novel forms of periodic solutions for the modified regularized long wave equation. This particular model holds great importance in the realm of physics as it characterizes the propagation of weak nonlinearity and space-time dispersion waves, encompassing phenomena like nonlinear transverse waves in shallow water, ion-acoustic waves in plasma, and phonon waves in nonlinear crystals. By employing the methodology of modified rational sine-cosine and sinh–cosh functions, we successfully derived new kink-periodic and convex–concave-periodic solutions. To showcase the superiority of our proposed approach, we conducted a comparative analysis with the alternative Kudryashov-expansion technique. Furthermore, we visually depicted the diverse recovery solutions through 2D and 3D plots to enhance the understanding of our findings.
非线性方程中不同类型周期解的意义在各种实际应用中都是至关重要的。本研究的目的是揭示修正正则化长波方程周期解的新形式。这种特殊的模型在物理学领域具有重要意义,因为它表征了弱非线性和时空色散波的传播,包括浅水中的非线性横波,等离子体中的离子声波和非线性晶体中的声子波等现象。利用修正有理正弦余弦函数和sinh-cosh函数的方法,成功地导出了新的扭结周期解和凹凸周期解。为了展示我们提出的方法的优越性,我们与另一种kudryashov展开技术进行了比较分析。此外,我们通过2D和3D图直观地描述了不同的恢复方案,以增强对我们研究结果的理解。
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引用次数: 0
The regularization of spectral methods for hyperbolic Volterra integrodifferential equations with fractional power elliptic operator 带分数阶幂椭圆算子的双曲型Volterra积分微分方程谱方法的正则化
IF 8.3 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0250
F. Mirzaei G., D. Rostamy
Abstract In this study, a numerical approach is presented to solve the linear and nonlinear hyperbolic Volterra integrodifferential equations (HVIDEs). The regularization of a Legendre-collocation spectral method is applied for solving HVIDE of the second kind, with the time and space variables on the basis of Legendre-Gauss-Lobatto and Legendre-Gauss (LG) interpolation points, respectively. Concerning bounded domains, the provided HVIDE relation is transformed into three corresponding relations. Hence, a Legendre-collocation spectral approach is applied for solving this equation, and finally, ill-posed linear and nonlinear systems of algebraic equations are obtained; therefore different regularization methods are used to solve them. For an unbounded domain, a suitable mapping to convert the problem on a bounded domain is used and then apply the same proposed method for the bounded domain. For the two cases, the numerical results confirm the exponential convergence rate. The findings of this study are unprecedented for the regularization of the spectral method for the hyperbolic integrodifferential equation. The result in this work seems to be the first successful for the regularization of spectral method for the hyperbolic integrodifferential equation.
摘要本文提出了求解线性和非线性双曲型Volterra积分微分方程(HVIDEs)的数值方法。将正则化的legende -搭配谱法应用于求解第二类HVIDE,时间变量和空间变量分别基于legende - gauss - lobatto和legende - gauss (LG)插值点。对于有界域,将给定的HVIDE关系转换为三个对应的关系。因此,采用legende -配置谱法求解该方程,得到了病态线性方程组和病态非线性方程组;因此,使用不同的正则化方法来求解它们。对于无界域,使用合适的映射将问题转换到有界域上,然后将相同的方法应用于有界域。对于这两种情况,数值结果证实了指数收敛速度。本研究的结果对于双曲型积分微分方程的谱方法的正则化是前所未有的。这项工作的结果似乎是双曲型积分微分方程的谱方法正则化的第一次成功。
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引用次数: 0
Numerical analysis of uneven settlement of highway subgrade based on nonlinear algorithm 基于非线性算法的公路路基不均匀沉降数值分析
IF 8.3 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0253
Ang Gao, Mengxi Zhang, Shweta Sachdeva, Shavkatov Shavkatovich, Vishal Jagota, Shabnam Sayyad
Abstract In order to accurately and easily calculate the settlement of the foundation, a high-speed roadbed based on a nonlinear algorithm is proposed to broaden the uneven and uniform reduction numerical analysis. The basic loading test results of the foundation loading test results in a series of sand-bearing test results made by gear suppressive elastic Mohr–COMB were verified using general finite element procedure ABAQUS. The results show that for most original slopes of 1:1.5 highways, according to the above research results and relevant specifications, the high-wig ratio of the steps should be controlled in 1:1.2 to 1:1.5. That is, when the width is controlled in a range of about 1.2 m, the height of the step is held at 0.8–1.0 m. The larger the role of filling the top surface, the more obvious is the role of the geogrid to reduce the settlement of the road embankment. Under the conditions of the same subgraduation, the reinforced road embankment of the geotechnical grille, the settling effect that occurs in the load activity is also more obvious. This method offers a better design and construction technique for expanding the project, investigates the control of differential settlements caused by excavation step size and geogrid size, and seeks more complete, scientific programmes. It has the potential to drastically reduce the project’s investigation effort, shorten the survey cycle, and provide incalculable economic and social benefits. Therefore, the research results of this paper have improved the reliability of existing ground settlement analysis.
摘要为了准确方便地计算路基沉降,提出了一种基于非线性算法的高速路基沉降计算方法,拓宽了非均匀折减数值分析。采用通用有限元程序ABAQUS对齿轮抑制弹性Mohr-COMB系列承载试验结果中的基础加载试验结果进行了验证。结果表明:对于大多数1:1.5公路的原始坡度,根据上述研究成果及相关规范,高阶高程比应控制在1:1.2 ~ 1:1.5之间。即当宽度控制在1.2 m左右的范围内时,台阶高度保持在0.8-1.0 m。填充顶面作用越大,土工格栅减少路堤沉降的作用就越明显。在相同分段条件下,加筋路堤的土工格栅,在荷载活动下发生的沉降效果也更为明显。该方法为扩建工程提供了更好的设计和施工技术,研究了开挖步距和土工格栅尺寸引起的差异沉降的控制,并寻求更完整、更科学的方案。它有可能大大减少项目的调查工作量,缩短调查周期,并提供不可估量的经济和社会效益。因此,本文的研究结果提高了现有地面沉降分析的可靠性。
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引用次数: 0
Multi-objective optimization model of transmission error of nonlinear dynamic load of double helical gears 双斜齿轮非线性动载荷传动误差多目标优化模型
Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0323
Xingling Yao
Abstract In order to address the impact of reduced transmission stability and reliability caused by volume reduction on the quality of gear transmission, this article proposes a multi-objective optimization model for nonlinear dynamic load transmission errors of double helical gears. This study aims to introduce a multi-objective design method for gear transmission, using the volume and smooth reliability of helical gears as objective functions, and establish a multi-objective optimization design mathematical model for helical cylindrical gear transmission. In order to solve this multi-objective optimization problem, we utilized the optimization toolbox in the scientific calculation software MATLAB with examples. The results show that after the joint optimization design of volume and coincidence degree, it is calculated that the volume after the joint optimization design is still 2.2624 × 10 7 mm 3 , and the coincidence degree is 5.9908. After rounding, the design result is m n = 3 , Z 1 = 31 , β = 20 , Ψ d = 1.2 {m}_{{rm{n}}}=3,{Z}_{1}=31,beta ={20}^{circ },{Psi }_{{rm{d}}}=1.2 . The optimization design results show that the joint optimization design with the minimum volume and the maximum coincidence as the objective function can reduce the volume and improve the output stability of the helical gear.
摘要为解决体积减小导致传动稳定性和可靠性降低对齿轮传动质量的影响,提出了双斜齿轮非线性动载传动误差的多目标优化模型。本研究旨在引入一种齿轮传动的多目标设计方法,以螺旋齿轮的体积和光滑可靠性为目标函数,建立螺旋圆柱齿轮传动的多目标优化设计数学模型。为了解决这一多目标优化问题,我们利用科学计算软件MATLAB中的优化工具箱并举例说明。结果表明,在对体积和契合度进行联合优化设计后,计算得出,结合优化设计后的体积仍为2.2624 × 10 7 mm 3,契合度为5.9908。舍入后的设计结果为m n =3,Z 1=31, β =20°,Ψ d =1.2 {m_}=3{{rm{n}}},{Z_1}=31{, }beta ={20}^ {circ, }{Psi _}=1.2。优化设计结果表明,以最小体积和最大重合为目标函数的联合优化设计可以减小齿轮体积,提高齿轮输出稳定性。{{rm{d}}}
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引用次数: 0
Theoretical and numerical analysis of nonlinear Boussinesq equation under fractal fractional derivative 分形分数阶导数下非线性Boussinesq方程的理论与数值分析
Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0338
Obaid J. Algahtani
Abstract A nonlinear Boussinesq equation under fractal fractional Caputo’s derivative is studied. The general series solution is calculated using the double Laplace transform with decomposition. The convergence and stability analyses of the model are investigated under Caputo’s fractal fractional derivative. For the numerical illustrations of the obtained solution, specific examples along with suitable initial conditions are considered. The single solitary wave solutions under fractal fractional derivative are attained by considering small values of time ( t ) left(t) . The wave propagation has a symmetrical form. The solitary wave’s amplitude diminishes over time, and its extended tail expands over a long distance. It is observed that the fractal fractional derivatives are an extremely constructive tool for studying nonlinear systems. An error analysis is also carried out for compactness.
研究了分形分数阶Caputo导数下的非线性Boussinesq方程。一般级数解是用带分解的二重拉普拉斯变换计算的。在Caputo分形分数阶导数下,研究了模型的收敛性和稳定性。对于所得解的数值说明,考虑了具体的算例和合适的初始条件。通过考虑时间(t) 左(t)的小值,得到分形分数阶导数下的单孤波解。波的传播具有对称的形式。孤波的振幅会随着时间的推移而减弱,它长长的尾巴会延伸很长一段距离。结果表明,分形分数阶导数是研究非线性系统的一种极具建设性的工具。对紧凑性进行了误差分析。
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引用次数: 0
Two-component excitation governance of giant wave clusters with the partially nonlocal nonlinearity 部分非局部非线性巨波簇的双分量激励治理
Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0319
Yi-Xiang Chen
Abstract Vector giant wave cluster solutions of (2+1)-dimensional coupled partially nonlocal nonlinear Schrödinger equation are found by means of a coupled relation with the Darboux method. These vector optical field components display different excitation governance behaviors. The effective distance in the coupled relation has a maximum. Comparing this maximum with the excited values at the location of the giant wave peaks in the cluster, the excitation governance of giant wave cluster is achieved.
摘要利用Darboux法求解(2+1)维耦合部分非局部非线性Schrödinger方程的向量巨浪群解。这些矢量光场分量表现出不同的励磁治理行为。耦合关系中的有效距离有一个最大值。将该最大值与簇中巨波峰位置的激励值进行比较,实现了对巨波簇的激励治理。
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引用次数: 1
Target recognition and detection system based on sensor and nonlinear machine vision fusion 基于传感器与非线性机器视觉融合的目标识别检测系统
Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0310
Hongbin Jia, Fanwen Yang, Tao Li, R. Suresh Kumar
Abstract In order to realize the automatic detection system of electric sensor, a method based on sensor and nonlinear machine vision is proposed. Aiming at complex scenes and dynamic changes in target recognition and detection in large-scale industrial field, a target recognition and detection system based on the fusion of vision sensor and nonlinear machine vision is proposed. The system introduces nonlinear features and uses deep neural network to realize multi-scale analysis and recognition of image data on the basis of traditional machine vision. The system uses C++ language development and has a good user interface. The photoelectric sensor weld image is collected by machine vision technology, the target area of the image is detected by Gaussian model, the feature points of the target area are extracted by combining Hessian matrix, the extracted feature points are input into the quantum gate neural network model, and the recognition results are obtained. The simulation results show that the author’s method has the highest value among the three test indicators, with the highest accuracy rate of 97%, the highest recall rate of 98%, and the highest F 1 value of 94. The time consumed by the author’s method for automatic identification of photoelectric sensor welding is within 6 s, the time spent on the film wall recognition method for automatic identification of photoelectric sensor welding is within 20 s, and the time spent by the feature extraction and identification method for automatic identification of photoelectric sensor weld is within 22 s. It has been proven that the method based on the fusion of sensors and nonlinear machine vision can achieve an automatic recognition and detection system for electrical sensor welds. The object detection and recognition method proposed in this article can be applied to dynamic changes and complex scenes in various complex backgrounds and has a good application prospect. The system proposed in this article has some limitations, such as the algorithm in the calculation accuracy, real-time, and other aspects that have room for improvement.
摘要为了实现电传感器的自动检测系统,提出了一种基于传感器和非线性机器视觉的方法。针对大规模工业领域中复杂场景和动态变化的目标识别与检测,提出了一种基于视觉传感器与非线性机器视觉融合的目标识别与检测系统。该系统在传统机器视觉的基础上引入非线性特征,利用深度神经网络实现图像数据的多尺度分析与识别。本系统采用c++语言开发,具有良好的用户界面。采用机器视觉技术采集光电传感器焊缝图像,采用高斯模型对图像的目标区域进行检测,结合Hessian矩阵提取目标区域的特征点,将提取的特征点输入量子门神经网络模型,得到识别结果。仿真结果表明,作者的方法在三个测试指标中具有最高的值,最高准确率为97%,最高召回率为98%,最高f1值为94。本文采用的光电传感器焊接自动识别方法耗时在6s以内,采用膜壁识别方法耗时在20s以内,采用特征提取与识别方法耗时在22s以内。实践证明,基于传感器与非线性机器视觉融合的方法可以实现电传感器焊缝的自动识别检测系统。本文提出的目标检测与识别方法可以应用于各种复杂背景下的动态变化和复杂场景,具有良好的应用前景。本文提出的系统存在一定的局限性,比如算法在计算精度、实时性等方面还有改进的空间。
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引用次数: 0
A review of tiger conservation studies using nonlinear trajectory: A telemetry data approach 基于非线性轨迹的老虎保护研究综述:遥测数据方法
IF 8.3 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0235
Richa Choudhary, Susheela Dahiya, T. Choudhury
Abstract Radio telemetry is being used in India to capture the location and movements of radio-collared wild animals. Radio telemetry data analysis has changed the scenario for wildlife conservation. It has provided many models and solutions for natural habitat utilization, genetic diversity, and even implementing green corridors for the species. Insights drawn from the data collected through radio telemetry from radio-collared animals have provided impactful information to understand the wild animal’s ecology. In the past few years, India has remarkably improved the population of tigers using telemetry studies and other conservation methods. In this study, a review of the telemetry studies conducted for tigers in India in the past decade has been presented. This study summarizes the telemetry studies of tigers in India and discusses how telemetry has enhanced the knowledge of ecologists and scientists to understand tiger ecology. This study also discusses the challenges and issues of conducting telemetry studies on tigers in India. Finally, the authors address the gaps in understanding the tiger’s ecology based on these studies and outline how radio telemetry can address these issues to better understand and conserve tigers.
印度正在使用无线电遥测技术来捕捉戴无线电项圈的野生动物的位置和运动。无线电遥测数据分析已经改变了野生动物保护的情况。它为物种的自然栖息地利用、遗传多样性甚至绿色走廊的实施提供了许多模型和解决方案。通过无线电遥测从戴有无线电项圈的动物身上收集到的数据,为了解野生动物的生态提供了有影响力的信息。在过去的几年里,印度通过遥测研究和其他保护方法显著提高了老虎的数量。在这项研究中,对过去十年在印度对老虎进行的遥测研究进行了回顾。本研究总结了印度老虎的遥测研究,并讨论了遥测技术如何提高生态学家和科学家对老虎生态学的认识。本研究还讨论了对印度老虎进行遥测研究的挑战和问题。最后,作者在这些研究的基础上解决了了解老虎生态的空白,并概述了无线电遥测技术如何解决这些问题,以更好地了解和保护老虎。
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引用次数: 0
Research and implementation of non-linear management and monitoring system for classified information network 分类信息网络非线性管理与监控系统的研究与实现
IF 8.3 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-01-01 DOI: 10.1515/nleng-2022-0254
Jun He
Abstract In order to better realize the secret-related information monitoring system, an algorithm based on a nonlinear network is proposed and is combined with the traditional algorithm. This article mainly analyzes the theory of nonlinear networks, designs and trains new network parameters according to their own needs, and combines the nonlinear network as a feature extractor with the existing intrusion detection and wandering detection algorithms, which greatly improves the recognition ability of traditional algorithms. The main feature of a nonlinear network is that it can extract the positional features of objects from the network while also extracting object features, that is, positioning and classification are realized in the same network. As a feature extractor, this network can not only have a higher recognition rate than background difference, hog, and other algorithms but also have a greater ability to extract position information than other convolutional neural networks. The successful application of nonlinear production network systems in TV stations at all levels has greatly improved the editing and production capability and efficiency of TV programs. How to ensure the safe, reliable, stable, orderly, and efficient operation of nonlinear production network systems requires vendors and TVS Taiwan technical staff to jointly conduct in-depth research and summarize their findings. In this article, from the perspective of TV users, information components in nonlinear production network systems are analyzed, including class, title management mode, storage space management, material management, security management, and workflow management in nonlinear systems. Make some analysis, discussion, and summaries of network system and operation management problems. The experimental results show that the nonlinear algorithm in this article has a significant advantage over the original tracking algorithm; that is, most tracking algorithms do not have the ability of category recognition during the initial tracking process, which means that these tracking algorithms cannot accurately know what they are tracking. Because the nonlinear network has the ability to output categories, whether it is initial tracking or tracking loss recovery, nonlinearity has fundamentally better advantages than other tracking algorithms. Therefore, it can be predicted that there is a strong recognition ability in the later monitoring and wandering detection. It has been proved that the nonlinear algorithm can be effectively applied to the secret information monitoring system.
摘要为了更好地实现涉密信息监控系统,提出了一种基于非线性网络的算法,并将其与传统算法相结合。本文主要分析了非线性网络的理论,根据自己的需要设计和训练新的网络参数,并将非线性网络作为特征提取器与现有的入侵检测和漫游检测算法相结合,大大提高了传统算法的识别能力。非线性网络的主要特点是可以在提取目标特征的同时,从网络中提取目标的位置特征,即在同一网络中实现定位和分类。作为特征提取器,该网络不仅具有比背景差分、hog等算法更高的识别率,而且具有比其他卷积神经网络更强的位置信息提取能力。非线性制作网络系统在各级电视台的成功应用,极大地提高了电视节目的编辑制作能力和效率。如何保证非线性生产网络系统安全、可靠、稳定、有序、高效地运行,需要厂商与TVS台湾技术人员共同进行深入研究,总结研究成果。本文从电视用户的角度,分析了非线性制作网络系统中的信息构成,包括非线性系统中的类别、标题管理模式、存储空间管理、素材管理、安全管理和工作流管理。对网络系统和运营管理问题进行分析、讨论和总结。实验结果表明,本文提出的非线性跟踪算法相对于原有的跟踪算法具有明显的优势;也就是说,大多数跟踪算法在最初的跟踪过程中不具备类别识别的能力,这意味着这些跟踪算法不能准确地知道自己在跟踪什么。由于非线性网络具有输出类别的能力,无论是初始跟踪还是跟踪损失恢复,非线性从根本上比其他跟踪算法具有更好的优势。因此,可以预见在后期的监测和流浪检测中有较强的识别能力。实验证明,该非线性算法可以有效地应用于保密信息监控系统。
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引用次数: 0
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Nonlinear Engineering - Modeling and Application
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