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Lie symmetries and conserved quantities of fractional nonconservative singular systems 分数非守恒奇异系统的李对称性和守恒量
Pub Date : 2023-09-19 DOI: 10.1002/msd2.12086
Mingliang Zheng

In this paper, according to the fractional factor derivative method, we study the Lie symmetry theory of fractional nonconservative singular Lagrange systems in a configuration space. First, fractional calculus is calculated by using the fractional factor, and the fractional equations of motion are derived by using the differential variational principle. Second, the determining equations and the limiting equations of Lie symmetry under an infinitesimal group transformation are obtained. Furthermore, the fractional conserved quantity form of singular Lagrange systems caused by Lie symmetry is obtained by constructing a gauge-generating function that fulfills the structural equation, which conforms to the Noether criterion equation. Finally, we present an example of a calculation. The results show that the Lie symmetry condition of nonconservative singular Lagrange systems is more strict than conservative singular systems, but because of increased invariance restriction, the nonconservative forces do not change the form of conserved quantity; meanwhile, the fractional factor method has high natural consistency with the integral calculus, so the theory of integer-order singular systems can be easily extended to fractional singular Lagrange systems.

本文根据分数因子导数方法,研究了组态空间中分数非守恒奇异拉格朗日系统的李对称性理论。首先,利用分数因子计算分数阶微积分,并利用微分变分原理导出分数阶运动方程。其次,得到了在无穷小群变换下李对称性的判定方程和极限方程。此外,通过构造满足结构方程的规范生成函数,得到了由李对称引起的奇异拉格朗日系统的分数守恒量形式,该规范生成函数符合Noether准则方程。最后,我们给出了一个计算示例。结果表明,非守恒奇异拉格朗日系统的李对称性条件比守恒奇异系统更严格,但由于不变性约束的增加,非守恒力不改变守恒量的形式;同时,分数因子法与积分法具有很高的自然一致性,因此整数阶奇异系统理论可以很容易地推广到分数阶奇异拉格朗日系统。
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引用次数: 0
Design, fabrication, and dynamic mechanical responses of fiber-reinforced composite lattice materials 纤维增强复合材料晶格材料的设计、制造和动态力学响应
Pub Date : 2023-09-14 DOI: 10.1002/msd2.12085
Jian Xiong, Cheng Gong, Qianqian Wu, Li Ma, Jinshui Yang, Linzhi Wu

Fiber-reinforced composites are a popular lightweight materials used in a variety of engineering applications, such as aerospace, architecture, automotive, and marine construction, due to their attractive mechanical properties. Constructing lattice materials from fiber-reinforced composites is an efficient approach for developing ultra-lightweight structural systems with superior mechanical properties and multifunctional benefits. In contrast to corrugated, foam, and honeycomb core materials, composite lattice materials can be manufactured with various architectural designs, such as woven, grid, and truss cores. Moreover, lattice materials with open-cell topology provide multifunctional advantages over conventional closed-cell honeycomb and foam structures and are thus highly desirable for developing aerospace systems, hypersonic vehicles, long-range rockets and missiles, ship and naval structures, and protective systems. The objective of this study is to review and analyze dynamic mechanical behavior performed by different researchers in the area of composite lattice materials and to highlight topics for future research.

纤维增强复合材料是一种流行的轻质材料,由于其诱人的机械性能,可用于航空航天、建筑、汽车和海洋建筑等各种工程应用。由纤维增强复合材料构建晶格材料是开发具有优异机械性能和多功能优势的超轻结构系统的有效方法。与波纹、泡沫和蜂窝芯材不同,复合格构材料可采用各种建筑设计制造,如编织、网格和特拉斯芯材。此外,与传统的闭孔蜂窝和泡沫结构相比,具有开孔拓扑结构的晶格材料具有多功能优势,因此非常适合开发航空航天系统、高超音速飞行器、远程火箭和导弹、船舶和海军结构以及防护系统。本研究的目的是回顾和分析不同研究人员在复合晶格材料领域的动态力学行为,并突出未来研究的主题。
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引用次数: 0
Nodes2STRNet for structural dense displacement recognition by deformable mesh model and motion representation 基于变形网格模型和运动表示的结构密集位移识别Nodes2STRNet
Pub Date : 2023-09-14 DOI: 10.1002/msd2.12083
Jin Zhao, Hui Li, Yang Xu

Displacement is a critical indicator for mechanical systems and civil structures. Conventional vision-based displacement recognition methods mainly focus on the sparse identification of limited measurement points, and the motion representation of an entire structure is very challenging. This study proposes a novel Nodes2STRNet for structural dense displacement recognition using a handful of structural control nodes based on a deformable structural three-dimensional mesh model, which consists of control node estimation subnetwork (NodesEstimate) and pose parameter recognition subnetwork (Nodes2PoseNet). NodesEstimate calculates the dense optical flow field based on FlowNet 2.0 and generates structural control node coordinates. Nodes2PoseNet uses structural control node coordinates as input and regresses structural pose parameters by a multilayer perceptron. A self-supervised learning strategy is designed with a mean square error loss and L2 regularization to train Nodes2PoseNet. The effectiveness and accuracy of dense displacement recognition and robustness to light condition variations are validated by seismic shaking table tests of a four-story-building model. Comparative studies with image-segmentation-based Structure-PoseNet show that the proposed Nodes2STRNet can achieve higher accuracy and better robustness against light condition variations. In addition, NodesEstimate does not require retraining when faced with new scenarios, and Nodes2PoseNet has high self-supervised training efficiency with only a few control nodes instead of fully supervised pixel-level segmentation.

位移是机械系统和土木结构的一个关键指标。传统的基于视觉的位移识别方法主要关注有限测量点的稀疏识别,而整个结构的运动表示非常具有挑战性。本研究基于可变形结构三维网格模型,提出了一种新的用于结构密集位移识别的Nodes2STRNet,该网络使用少数结构控制节点,由控制节点估计子网络(NodesEstimate)和位姿参数识别子网络(Nodes2PoseNet)组成。NodesEstimate基于FlowNet 2.0计算密集光流场,并生成结构控制节点坐标。Nodes2PoseNet使用结构控制节点坐标作为输入,并通过多层感知器回归结构姿态参数。设计了一种具有均方误差损失和L2正则化的自监督学习策略来训练Nodes2PoseNet。通过四层建筑模型的地震振动台试验,验证了密集位移识别的有效性和准确性以及对光照条件变化的鲁棒性。与基于图像分割的Structure PoseNet的比较研究表明,所提出的Nodes2STRNet可以实现更高的精度和更好的抗光照条件变化的鲁棒性。此外,NodesEstimate在面对新场景时不需要重新训练,并且Nodes2PoseNet具有很高的自监督训练效率,只有几个控制节点,而不是完全监督的像素级分割。
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引用次数: 0
Numerical simulation and behavior prediction of a space net system throughout the capture process: Spread, contact, and close 空间网络系统在捕获过程中的数值模拟和行为预测:扩散、接触和闭合
Pub Date : 2023-09-14 DOI: 10.1002/msd2.12084
Weicheng Huang, Huaiwu Zou, Yongjun Pan, Kai Zhang, Junjie Zheng, Jinpeng Li, Shuai Mao

In this paper, we develop an exhaustive numerical simulator for the dynamic visualization and behavior prediction of the tether-net system during the whole space debris capture phases, including spread, contact, and close. First of all, to perform its geometrically nonlinear deformation, discrete different geometry theory is applied to model the mechanical response of a flexible net. Based on the discretization of the whole structure into multiple vertexes and lines, the internal force and associated Hession are derived in a closed form to solve a series of nonlinear dynamic equations of motion. The spread and deployment of a packaged net can be realized using this well-established net solver. Next, a multidimensional incremental potential formulation is selected to achieve the intersection-free boundary nonlinear contact and collision between the deformable net and rigid debris. Finally, for the closing mechanism analysis, a log-like barrier functional is derived to achieve the nondeviation condition between the ring–rod linkage system. The C2 ${C}^{2}$ continuous log barrier functionals constructed for both the contact model and the linkage system are smooth and differentiable, and, therefore, the nonlinear net capture dynamic system can be efficiently solved through a fully implicit time integrator. Overall, as a demonstration, the whole capture process of a defunct satellite using a hexagon net is simulated through our well-established numerical framework. We believe that our comprehensive numerical methods could provide new insight into the optimal design of active debris removal systems and promote further development of the online control of tether tugging systems.

在本文中,我们开发了一个详尽的数值模拟器,用于系链网系统在整个空间碎片捕获阶段(包括扩散、接触和闭合)的动态可视化和行为预测。首先,为了实现其几何非线性变形,应用离散差分几何理论对柔性网的力学响应进行建模。在将整个结构离散为多个顶点和多条线的基础上,以闭合形式导出内力和相关的Hession,以求解一系列非线性动力学运动方程。使用这种完善的网络求解器可以实现打包网络的扩展和部署。其次,选择多维增量势公式,实现可变形网与刚性碎片之间的无相交边界非线性接触和碰撞。最后,对于闭合机构的分析,推导了一个类对数屏障函数,以实现环杆连杆系统之间的无偏差条件。为接触模型和连杆系统构造的C2${C}^{2}$连续对数屏障泛函是光滑的和可微的,因此,通过全隐式时间积分器可以有效地求解非线性网络捕获动态系统。总体而言,作为演示,通过我们完善的数值框架,模拟了使用六边形网捕获失效卫星的整个过程。我们相信,我们的综合数值方法可以为主动式碎片清除系统的优化设计提供新的见解,并促进系绳牵引系统在线控制的进一步发展。
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引用次数: 0
Probing electron and lattice dynamics by ultrafast electron microscopy: Principles and applications 用超快电子显微镜探测电子和晶格动力学:原理和应用
Pub Date : 2023-09-12 DOI: 10.1002/msd2.12081
Yiling Lian, Jingya Sun, Lan Jiang

Microscale charge and energy transfer is an ultrafast process that can determine the photoelectrochemical performance of devices. However, nonlinear and nonequilibrium properties hinder our understanding of ultrafast processes; thus, the direct imaging strategy has become an effective means to uncover ultrafast charge and energy transfer processes. Due to diffraction limits of optical imaging, the obtained optical image has insufficient spatial resolution. Therefore, electron beam imaging combined with a pulse laser showing high spatial–temporal resolution has become a popular area of research, and numerous breakthroughs have been achieved in recent years. In this review, we cover three typical ultrafast electron beam imaging techniques, namely, time-resolved photoemission electron microscopy, scanning ultrafast electron microscopy, and ultrafast transmission electron microscopy, in addition to the principles and characteristics of these three techniques. Some outstanding results related to photon–electron interactions, charge carrier transport and relaxation, electron–lattice coupling, and lattice oscillation are also reviewed. In summary, ultrafast electron beam imaging with high spatial–temporal resolution and multidimensional imaging abilities can promote the fundamental understanding of physics, chemistry, and optics, as well as guide the development of advanced semiconductors and electronics.

微尺度电荷和能量转移是一个可以决定器件光电化学性能的超快过程。然而,非线性和非平衡性质阻碍了我们对超快过程的理解;因此,直接成像策略已成为揭示超快电荷和能量转移过程的有效手段。由于光学成像的衍射限制,所获得的光学图像具有不足的空间分辨率。因此,显示高时空分辨率的电子束成像与脉冲激光相结合已成为一个热门研究领域,近年来取得了许多突破。在这篇综述中,我们介绍了三种典型的超快电子束成像技术,即时间分辨光电发射电子显微镜、扫描超快电子显微镜和超快透射电子显微镜,以及这三种技术的原理和特点。还综述了与光子-电子相互作用、电荷载流子输运和弛豫、电子-晶格耦合和晶格振荡有关的一些杰出结果。总之,具有高时空分辨率和多维成像能力的超快电子束成像可以促进对物理、化学和光学的基本理解,并指导先进半导体和电子学的发展。
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引用次数: 0
A complex solution on the dynamic response of sandwich graphene-reinforced aluminum-based composite beams with copper face sheets under two moving constant loads on an elastic foundation 弹性地基上两个移动恒载作用下铜面板石墨烯增强铝基复合材料夹层梁动力响应的复解
Pub Date : 2023-09-07 DOI: 10.1002/msd2.12082
Mohammadreza Eghbali, Seyed Amirhosein Hosseini

An analytical solution was used to investigate the elastic response of a sandwich beam with a graphene-reinforced aluminum-based composite (GRAC) on an elastic foundation using copper as the face layer of the functionally graded composite beam and a simply supported boundary condition. Mantari's higher-order shear deformation theory was utilized to derive the equations, which were solved in Laplace space and then converted into space–time using Laplace inversion. The exact response of the GRAC sandwich beam was obtained by considering the displacement at the mid-span of the sandwich beam. Two moving loads with different speed ratios were applied at a single point, and the effect of various parameters, including the spring constant, the speed ratio, the percentage of graphene, the moving load speed, and the distribution pattern, was investigated. This study aimed to eliminate any overlap and improve the accuracy of the results. The exact solving method presented has not been reported in other articles so far. Additionally, due to the difficulty of solving mathematical equations, this method is only applicable to simple boundary conditions.

采用解析解研究了石墨烯增强铝基复合材料(GRAC)夹层梁在弹性基础上的弹性响应,该基础使用铜作为功能梯度复合材料梁的面层,并采用简支边界条件。Mantari的高阶剪切变形理论用于推导方程,这些方程在拉普拉斯空间中求解,然后使用拉普拉斯反演转换为时空。通过考虑夹层梁跨中的位移,得到了GRAC夹层梁的精确响应。在一个点上施加两个不同速比的移动载荷,并研究了弹簧常数、速比、石墨烯百分比、移动载荷速度和分布模式等各种参数的影响。这项研究旨在消除任何重叠并提高结果的准确性。到目前为止,所提出的精确求解方法尚未在其他文章中报道。此外,由于求解数学方程的困难,该方法仅适用于简单的边界条件。
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引用次数: 0
Letter of thanks for IJMSD's indexing in ESCI 感谢信IJMSD在ESCI中的索引
Pub Date : 2023-08-08 DOI: 10.1002/msd2.12080
Xiaoting Rui, Marco Amabili, Peter Eberhard, Yonggang Huang

Dear Authors/Reviewers/Editorial Board Members/Editorial Office Members/Readers,

We are delighted to inform you that the International Journal of Mechanical System Dynamics (IJMSD) was officially indexed by Emerging Sources Citation Index (ESCI) on June 27, 2023, after being indexed by Inspec, Scopus, DOAJ, Dimensions, and some other databases.

We would like to take this opportunity, on behalf of the IJMSD Editorial Board, to extend our gratitude and sincere appreciation for your significant contributions and support to IJMSD.

The mission of IJMSD is to provide cutting-edge scientific and technology research in the area of mechanical system dynamics, with the goal of enhancing modern industrial research and development capabilities to improve the performance of mechanical systems. The research published in the journal highlights the crucial role of mechanical system dynamics throughout the entire lifecycle of modern and complex engineering products. The journal covers a wide range of topics, including theories, modeling, computation, analysis, software, design, control, manufacturing, testing, and evaluation of mechanical system dynamics. Since IJMSD's launch in July 2021, three volumes, eight issues, and 64 papers have been published. All these papers are open-access and available at https://onlinelibrary.wiley.com/loi/27671402.

Authors are welcome to submit high-quality papers to IJMSD and are encouraged to read the already published IJMSD papers. With your help and contributions, IJMSD will become the leading scientific journal in the field of mechanical system dynamics. Your continuous support and contributions to the journal are highly appreciated.

尊敬的作者/审稿人/编委会成员/编辑部成员/读者,我们很高兴地通知您,《国际机械系统动力学杂志》(IJMSD)在被Inspec、Scopus、DOAJ、Dimensions和其他一些数据库索引后,于2023年6月27日被新兴来源引文索引(ESCI)正式索引。我们谨借此机会,代表IJMSD编辑委员会,对您对IJMSD的重大贡献和支持表示感谢和衷心感谢。IJMSD的使命是提供机械系统动力学领域的尖端科学技术研究,目标是增强现代工业研发能力,以提高机械系统的性能。发表在该杂志上的这项研究强调了机械系统动力学在现代和复杂工程产品的整个生命周期中的关键作用。该杂志涵盖了广泛的主题,包括机械系统动力学的理论、建模、计算、分析、软件、设计、控制、制造、测试和评估。自2021年7月IJMSD发布以来,已经出版了三卷、八期和64篇论文。所有这些文件都是开放获取的,可在https://onlinelibrary.wiley.com/loi/27671402.Authors欢迎向IJMSD提交高质量的论文,并鼓励阅读已发表的IJMSD论文。在您的帮助和贡献下,IJMSD将成为机械系统动力学领域的领先科学期刊。非常感谢您对该杂志的持续支持和贡献。
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引用次数: 0
Isola in a linear one-degree-of-freedom feedback system with actuator rate saturation 具有执行器速率饱和的线性一自由度反馈系统中的Isola
Pub Date : 2023-08-03 DOI: 10.1002/msd2.12079
Duc H. Nguyen, Thomas L. Hill, Mark H. Lowenberg

This short communication uses numerical continuation to highlight the existence of an isola in a simple one-degree-of-freedom harmonically forced feedback system with actuator rate limiting as its only nonlinear element. It was found that the isola (1) contains only rate-limited responses, (2) merges with the main branch when the forcing amplitude is sufficiently large, and (3) includes stable solutions that create a second attractor in regions where rate limiting is not expected. Furthermore, the isola is composed of two solutions for a given forcing frequency. These solutions have the same amplitudes in the state (pitch rate) projection; however, they have distinct phases, and their amplitudes are also distinct when projected onto the integrator state in the controller. The rich dynamics observed in such a simple example underlines the impact of rate limiting on feedback systems. Specifically, the combination of feedback and rate limiting can create detrimental dynamics that is hard to predict and requires careful analysis.

这种简短的通信使用数值延拓来强调在一个简单的单自由度谐波强迫反馈系统中存在等值线,该系统的唯一非线性元件是执行器速率限制。研究发现,等值线(1)仅包含速率限制响应,(2)当强迫幅度足够大时与主分支合并,以及(3)包括在不期望速率限制的区域中产生第二吸引子的稳定解。此外,等值线由给定强迫频率的两个解组成。这些解在状态(俯仰率)投影中具有相同的振幅;然而,它们具有不同的相位,并且当投影到控制器中的积分器状态上时,它们的振幅也不同。在这样一个简单的例子中观察到的丰富的动力学强调了速率限制对反馈系统的影响。具体而言,反馈和速率限制的结合可能会产生难以预测且需要仔细分析的有害动态。
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引用次数: 0
Analytical modeling on the vibration response of a beam-stiffened Mindlin thick plate with free boundary conditions 具有自由边界条件的梁加筋Mindlin厚板振动响应的分析建模
Pub Date : 2023-06-26 DOI: 10.1002/msd2.12078
Hui Guo, Kai Zhang

This paper presents a new analytical solution for the vibration response of a beam-stiffened Mindlin plate having a completely free boundary condition by utilizing a finite cosine integral transform. In the solution, the unknown coupling force and moments at the beam/plate interface and the unknown modal constants from the integral transform are determined by the continuity and compatibility conditions at the interface as well as the boundary conditions. It provides an easily implemented tool for exploring complex edge value problems for a class of higher-order partial differential equations represented by fully free-stiffened Mindlin thick plates. The validity of the model is evaluated by comparing the calculated free and forced vibration responses of the beam-stiffened plate with those calculated using a beam-stiffened thin plate and those from finite element analysis.

本文利用有限余弦积分变换,给出了具有完全自由边界条件的梁加肋Mindlin板振动响应的新解析解。在该解中,梁/板界面处的未知耦合力和力矩以及来自积分变换的未知模态常数由界面处的连续性和相容性条件以及边界条件确定。它为探索一类由完全自由加肋Mindlin厚板表示的高阶偏微分方程的复杂边值问题提供了一个易于实现的工具。通过比较计算的梁加筋板的自由和受力振动响应、使用梁加筋薄板计算的振动响应和有限元分析的振动响应,评估了该模型的有效性。
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引用次数: 0
Experimental-based study of gear vibration characteristics incorporating the fractal topography of tooth surface 结合齿面分形形貌的齿轮振动特性实验研究
Pub Date : 2023-06-18 DOI: 10.1002/msd2.12077
Qi'ao Lei, Lei Yuan, Xin Yu, Yunyun Sun, Hongguang Li

Microscopic roughness is inevitable on the gear meshing surface, which is also a key parameter affecting the dynamic response. The surface roughness exhibits self-affine characteristics across multiscales. To explore the influence of surface fractal topography on the vibration amplitude of the gear system under different rotational speeds and loads, an experimental setup of spur gear transmission is devised. The fractal dimension and fractal roughness of the meshing surface are calculated by the power spectral density method. The relationships between gear response and fractal parameters are revealed experimentally. Results indicate that a rougher tooth surface, that is, a smaller fractal dimension or larger fractal roughness, corresponds to an intense vibration amplitude. The sensitivity of dynamic response to the tooth surface topography varies at different rotational speeds and loads. Under low speed and light load conditions, the fractal dimension and fractal roughness have a more obvious influence on the dynamic response of the gear transmission system. With the increase of speed and load, the macroworking conditions gradually become the main factor attributed to vibration amplitude.

齿轮啮合表面的微观粗糙度是不可避免的,也是影响动态响应的关键参数。表面粗糙度在多尺度上表现出自仿射特性。为了探讨表面分形形貌对齿轮系统在不同转速和载荷下振动振幅的影响,设计了一个直齿圆柱齿轮传动的实验装置。采用功率谱密度法计算了啮合表面的分形维数和分形粗糙度。实验揭示了齿轮响应与分形参数之间的关系。结果表明,齿面越粗糙,即分形维数越小或分形粗糙度越大,对应的振动幅度越大。动态响应对齿面形貌的敏感性在不同的转速和载荷下变化。在低速轻载条件下,分形维数和分形粗糙度对齿轮传动系统的动态响应影响更为明显。随着转速和载荷的增加,宏观工况逐渐成为影响振幅的主要因素。
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引用次数: 0
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国际机械系统动力学学报(英文)
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