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国际机械系统动力学学报(英文)最新文献

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Nonlinear stochastic dynamics research on a Lorenz system with white Gaussian noise based on a quasi-potential approach 基于拟势方法的高斯白噪声Lorenz系统的非线性随机动力学研究
Pub Date : 2022-12-31 DOI: 10.1002/msd2.12062
Yong Huang

Environmental noise can lead to complex stochastic dynamical behaviors in nonlinear systems. In this paper, a Lorenz system with the parameter region with two stable fixed points and a chaotic saddle subject to white Gaussian noise is investigated as an example. Noise-induced phenomena, such as noise-induced quasi-cycle, three-state intermittency, and chaos, are observed. In the intermittency process, the optimal path used to describe the transition mechanism is calculated and confirmed to pass through an unstable periodic orbit, a chaotic saddle, a saddle point, and a heteroclinic trajectory in an orderly sequence using generalized cell mapping with a digraph method constructively. The corresponding optimal fluctuation forces are delineated to uncover the effects of noise during the transition process. Then the process will switch frequently between the attractors and the chaotic saddle as noise intensity increased further, that is, noise induced chaos emerging. A threshold noise intensity is defined by stochastic sensitivity analysis when a confidence ellipsoid is tangent to the stable manifold of the periodic orbit, which agrees with the simulation results. It is finally reported that these results and methods can be generalized to analyze the stochastic dynamics of other nonlinear mechanical systems with similar structures.

在非线性系统中,环境噪声会导致复杂的随机动力学行为。本文以高斯白噪声下具有两个稳定不动点和一个混沌鞍的参数区域的Lorenz系统为例进行了研究。观察到了噪声诱导的现象,如噪声诱导的准周期、三态间歇和混沌。在间歇过程中,利用广义单元映射和有向图方法,构造性地计算并确定了用于描述过渡机制的最优路径通过有序序列中的不稳定周期轨道、混沌鞍、鞍点和异宿轨道。描绘了相应的最优波动力,以揭示过渡过程中噪声的影响。然后,随着噪声强度的进一步增加,该过程将在吸引子和混沌鞍之间频繁切换,即出现噪声诱导的混沌。当置信椭球与周期轨道的稳定流形相切时,通过随机灵敏度分析定义了阈值噪声强度,这与仿真结果一致。最后指出,这些结果和方法可以推广到其他具有相似结构的非线性力学系统的随机动力学分析中。
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引用次数: 0
A localized Fourier collocation method for 2D and 3D elliptic partial differential equations: Theory and MATLAB code 二维和三维椭圆型偏微分方程的局部傅里叶配置方法:理论和MATLAB代码
Pub Date : 2022-12-13 DOI: 10.1002/msd2.12061
Yan Gu, Zhuojia Fu, Mikhail V. Golub

A localized Fourier collocation method is proposed for solving certain types of elliptic boundary value problems. The method first discretizes the entire domain into a set of overlapping small subdomains, and then in each of the subdomains, the unknown functions and their derivatives are approximated using the pseudo-spectral Fourier collocation method. The key idea of the present method is to combine the merits of the quick convergence of the pseudo-spectral method and the high sparsity of the localized discretization technique to yield a new framework that may be suitable for large-scale simulations. The present method can be viewed as a competitive alternative for solving numerically large-scale boundary value problems with complex-shape geometries. Preliminary numerical experiments involving Poisson, Helmholtz, and modified-Helmholtz equations in both two and three dimensions are presented to demonstrate the accuracy and efficiency of the proposed method.

针对椭圆型边值问题,提出了一种局部傅里叶配点法。该方法首先将整个域离散为一组重叠的小子域,然后在每个子域中,使用伪谱傅里叶配置法对未知函数及其导数进行近似。该方法的核心思想是将伪谱法的快速收敛性和局部离散化技术的高稀疏性相结合,形成一种适用于大规模模拟的新框架。该方法是求解具有复杂几何形状的数值大尺度边值问题的一种有竞争力的替代方法。通过二维和三维泊松方程、亥姆霍兹方程和修正亥姆霍兹方程的初步数值实验,验证了该方法的准确性和有效性。
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引用次数: 3
Influence of multiple structural parameters on buffer performance of a thin-walled circular tube based on the coupling modeling technique 基于耦合建模技术的多结构参数对薄壁圆管缓冲性能的影响
Pub Date : 2022-12-13 DOI: 10.1002/msd2.12060
Kun Jiang, Xinggan Lu, Hao Wang

Pyrotechnic devices are widely used in the aerospace and defense industries. However, these devices generate high-frequency and high-amplitude shock responses during their use, compromising safe operation of the system. In this paper, the application of a thin-walled circular tube as the energy absorber in pyrotechnic devices is investigated. To accurately predict the shock load and the buffer performance of the thin-walled circular tube, a coupled model connecting the energetic material combustion and finite element simulation is established. The validity of the coupled model is verified by comparing with experiments. Then, the collapse mechanism of the thin-walled circular tube is studied, and the influence of multiple structural parameters on its buffer performance is analyzed. The results show that the thin-walled circular tube effectively reduces the shock overload. The maximum shock overload reduced from 572 612g to 11 204g in the studied case. The structural parameters of the thin-walled circular tube mainly affect the deformation process and the maximum shock overload. The order of importance of structural parameters to the maximum shock overload is determined, among which the wall thickness has the most significant effect.

烟火装置广泛应用于航空航天和国防工业。然而,这些设备在使用过程中会产生高频和高振幅的冲击响应,影响系统的安全运行。本文研究了薄壁圆管作为吸能材料在烟火装置中的应用。为了准确预测薄壁圆管的冲击载荷和缓冲性能,建立了含能材料燃烧与有限元模拟相结合的耦合模型。通过与实验的比较,验证了该耦合模型的有效性。然后,研究了薄壁圆管的坍塌机理,并分析了多种结构参数对其缓冲性能的影响。结果表明,薄壁圆管能有效降低冲击过载。在研究的情况下,最大冲击过载从572 612g减少到11 204g。薄壁圆管的结构参数主要影响变形过程和最大冲击过载。确定了结构参数对最大冲击过载的重要程度,其中壁厚对最大冲击过载的影响最为显著。
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引用次数: 0
Generation mechanism and control of high-frequency vibration for tracked vehicles 履带车辆高频振动的产生机理及控制
Pub Date : 2022-12-13 DOI: 10.1002/msd2.12059
Pingxin Wang, Xiaoting Rui, Feifei Liu, Guoping Wang, Hailong Yu, Bin He, Junjie Gu

A crawler system provides much larger ground contact, leading to excellent terrain adaptability. Due to its structural characteristics, high-frequency vibration proportional to the vehicle speed is generated during the driving process. This is a result of the polygon and rolling effects between the track and the wheels. A field test of a tracked vehicle is performed to monitor movement signals of the chassis and a rocker arm. Their corresponding power spectral density distributions confirm the correctness of the frequency-calculation equation. Then, a novel elastic track tensioning device with a damper is designed as a cushion between the idler and the chassis. Depending on its geometry, the equivalent damping coefficient for a dynamic model is evaluated. Subsequently, the damping is altered in response to different operating conditions by a hybrid damping fuzzy semiactive control system. The controller accounts for both chassis and track vibration. Based on the transfer matrix method for multibody systems, a dynamical model of the track system is developed. Control performances are evaluated using two numerical simulations of obstacle crossing and off-road driving operations. Results indicate that the proposed semiactive tensioner is substantially better than the conventional one. This paper provides a novel feasible scheme for vibration reduction of tracked vehicles.

履带系统提供了更大的地面接触,从而实现了出色的地形适应性。由于其结构特点,在行驶过程中会产生与车速成比例的高频振动。这是轨道和车轮之间的多边形和滚动效果的结果。对履带车辆进行现场测试,以监测底盘和摇臂的运动信号。它们对应的功率谱密度分布证实了频率计算方程的正确性。然后,设计了一种新型的带阻尼器的弹性轨道张紧装置,作为惰轮和底盘之间的缓冲垫。根据其几何形状,评估动态模型的等效阻尼系数。随后,通过混合阻尼模糊半主动控制系统响应不同的操作条件来改变阻尼。控制器同时考虑底盘和履带的振动。基于多体系统的传递矩阵法,建立了轨道系统的动力学模型。使用两个越障和越野驾驶操作的数值模拟来评估控制性能。结果表明,所提出的半主动张紧器明显优于传统张紧器。本文为履带车辆减振提供了一种新的可行方案。
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引用次数: 0
Development and stability analysis of a high-speed train bearing system under variable speed conditions 高速列车变速轴承系统的研制与稳定性分析
Pub Date : 2022-12-06 DOI: 10.1002/msd2.12057
Baosen Wang, Yongqiang Liu, Bin Zhang, Shaopu Yang

During a high-speed train operation, the train speed changes frequently, resulting in motion change as a function of time. A dynamic model of a double-row tapered roller bearing system of a high-speed train under variable speed conditions is developed. The model takes into consideration the structural characteristics of one outer ring and two inner rings of the train bearing. The angle iteration method is used to determine the rotation angle of the roller within any time period, solving the difficult problem of determining the location of the roller. The outer ring and inner ring faults are captured by the model, and the model response is obtained under variable speed conditions. Experiments are carried out under two fault conditions to validate the model results. The simulation results are found to be in good agreement with the results of the formula, and the errors between the simulation results and the experimental results when the bearing has outer and inner ring faults are found to be, respectively, 5.97% and 2.59%, which demonstrates the effectiveness of the model. The influence of outer ring and inner ring faults on system stability is analyzed quantitatively using the Lempel–Ziv complexity. The results show that for low train acceleration, the inner ring fault has a more significant effect on the system stability, while for high acceleration, the outer ring fault has a more significant effect. However, when the train acceleration changes, the outer ring has a greater influence. In practice, train acceleration is usually small and does not frequently change in one operation cycle. Therefore, the inner ring fault of the bearing deserves more attention.

在高速列车运行期间,列车速度经常变化,导致运动随时间的变化。建立了高速列车双列圆锥滚子轴承系统变速工况下的动力学模型。该模型考虑了列车轴承一个外圈和两个内圈的结构特点。采用角度迭代法确定任意时间段内辊筒的旋转角度,解决了确定辊筒位置的难题。模型捕获了外环和内环故障,得到了变速条件下的模型响应。在两种故障条件下进行了实验,验证了模型的正确性。仿真结果与公式结果吻合较好,轴承存在外圈和内圈故障时,仿真结果与实验结果的误差分别为5.97%和2.59%,验证了模型的有效性。利用Lempel-Ziv复杂度定量分析了外环和内环故障对系统稳定性的影响。结果表明,当列车加速度较低时,内环故障对系统稳定性的影响更为显著,而当列车加速度较高时,外环故障对系统稳定性的影响更为显著。但当列车加速度发生变化时,外圈的影响较大。在实际操作中,列车加速度通常很小,在一个运行周期内不会频繁变化。因此,轴承的内圈故障值得更多的关注。
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引用次数: 2
Dynamics of triboelectric nanogenerators: A review 摩擦电纳米发电机动力学研究进展
Pub Date : 2022-11-14 DOI: 10.1002/msd2.12058
Guoqiang Xu, Chuanyang Li, Chaojie Chen, Jingjing Fu, Tingting Hou, Yunlong Zi

Triboelectric nanogenerators (TENGs) represent a promising next-generation renewable energy technology. TENGs have become increasingly popular for harvesting vibration energy in the environment due to their advantages of lightweight, broad range of material choices, low cost, and no pollution. However, issues such as input force irregularity, working bandwidth, efficiency calculation, and dynamic modeling hinder the use of TENGs in industrial or practical applications. In this paper, the modeling process of the dynamical system of a TENG is reviewed from the perspective of energy flow. In addition, this paper reviews the main contributions made in recent years to achieve optimized output based on springs, magnetic forces, and pendulums, and introduces different ways to increase the bandwidth of TENGs. Finally, the main problems of TENGs in the process of harvesting vibration energy are discussed. This review may serve as a practical reference for methods to convert irregular mechanical input sources into optimized output performance toward the commercialization of TENGs.

摩擦电纳米发电机(TENGs)是一种很有前途的下一代可再生能源技术。由于其重量轻、材料选择广泛、成本低、无污染等优点,在环境中收集振动能量越来越受欢迎。然而,诸如输入力不规则性、工作带宽、效率计算和动态建模等问题阻碍了TENGs在工业或实际应用中的应用。本文从能量流的角度综述了无人机动力系统的建模过程。此外,本文还回顾了近年来基于弹簧、磁力和钟摆实现优化输出的主要贡献,并介绍了增加TENGs带宽的不同方法。最后,讨论了振动能量采集过程中存在的主要问题。本文综述可为将不规则机械输入源转化为优化输出性能的方法提供实用参考。
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引用次数: 5
Full-field out-of-plane vibration displacement acquisition based on speckle-projection digital image correlation and its application in damage localization 基于散斑投影数字图像相关的全场面外振动位移采集及其在损伤定位中的应用
Pub Date : 2022-11-04 DOI: 10.1002/msd2.12055
Shancheng Cao, Jinwei Yan, Haibo Nian, Chao Xu

Stereo-digital image correlation (Stereo-DIC) has been widely explored for modal analysis in plate-type structures due to its noncontact and full-field advantages. However, when the traditional stereo-DIC is adopted to capture the out-of-plane displacements, several challenging issues exist such as the development of surface speckles, asynchronous camera recording, and efficiency and accuracy degradation due to high computation costs. Moreover, with the captured out-of-plane displacements, effective and efficient evaluation of the high spatial resolution mode shapes and their application to damage localization are also critical problems. To tackle these issues, a speckle-projection DIC technique using a single high-speed camera is proposed to obtain the out-of-plane vibration displacements. Moreover, an enhanced peak-picking modal analysis method is adopted to enhance the estimation accuracy and efficiency of mode shapes. In addition, the low-rank property of mode shapes in an intact state and the spatial sparse property of damage locations are harnessed for the detection of damage positions without requiring reference data on the healthy state. Finally, the modal analysis and damage localization results based on the proposed speckle-projection DIC are compared with those of the traditional two-camera stereo-DIC technique to verify its feasibility and effectiveness. It is found that the differences in the identified resonant frequencies between these two methods are smaller than 1% for higher modes. Moreover, the proposed speckle-projection DIC has the same accuracy as the traditional two-camera stereo-DIC in terms of measurement accuracy, mode shape estimation, and damage localization.

立体数字图像相关(Stereo-DIC)由于其非接触和全视野的优势,在板型结构的模态分析中得到了广泛的应用。然而,当采用传统的立体dic捕获面外位移时,存在表面斑点的产生、异步相机记录以及计算成本高导致的效率和精度下降等问题。此外,利用捕获到的面外位移,对高空间分辨率模态振型的有效评估及其在损伤定位中的应用也是关键问题。为了解决这些问题,提出了一种利用单台高速摄像机的散斑投影DIC技术来获得面外振动位移。此外,采用了一种增强的挑峰模态分析方法,提高了模态振型估计的精度和效率。此外,在不需要健康状态参考数据的情况下,利用完整状态下模态振型的低秩特性和损伤位置的空间稀疏特性来检测损伤位置。最后,将基于散斑投影DIC的模态分析和损伤定位结果与传统双相机立体DIC技术进行了比较,验证了其可行性和有效性。结果表明,在高阶模态下,两种方法识别的谐振频率差异小于1%。此外,所提出的散斑投影DIC在测量精度、模态振型估计和损伤定位方面与传统的双相机立体DIC具有相同的精度。
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引用次数: 2
Dynamic mechanical behavior, microstructure evolution, and restoration mechanism of a β-Ti alloy during hot compression deformation 热压缩变形过程中β-钛合金的动态力学行为、显微组织演变及恢复机制
Pub Date : 2022-11-03 DOI: 10.1002/msd2.12056
Xi Pan, Pei Li, Yang Chen, Zhixiang Qi, Hao Xu, Yuede Cao, Yuan Lei, Gong Zheng, Guang Chen

Metastable β titanium alloys are promising materials for lightweight and energy-efficient applications due to their high strength and low density. Thermal–mechanical processing (TMP) is one of the most effective ways to improve the mechanical properties of such alloys. This paper describes a systematic TMP investigation on a new metastable β titanium alloy, including its dynamic mechanical behavior, and microstructure evolution, via isothermal compression tests and electron back-scattered diffraction characterizations. The results show that the compression stress increases with an increase in the strain rate and a decrease in the temperature. After yielding, the compression stress–strain pattern shows flow-softening behavior at a low temperature and a high strain rate, while sustaining a steady flow state at a high temperature and a low strain rate. The temperature-rise effect contributes to a large degree of flow softening at high strain rates. After the correction for temperature rise, the stress–strain constitutive relationships are established, showing that the compression behavior varies in different phase regions. Based on the microstructure characterizations, it is found that the dynamic recovery and dynamic recrystallization dominate the hot deformations in β phase region and at low strain rates, while the deformation band as an additional product is found in α + β phase region and at high strain rates. The results contribute to a better understanding of the TMP for the considered alloy and may also represent a useful database for β-Ti alloy applications in lightweight mechanical systems.

亚稳态β钛合金由于其高强度和低密度的特点,在轻量化和节能应用方面具有很大的前景。热机械加工(TMP)是提高此类合金力学性能的最有效方法之一。本文通过等温压缩实验和电子背散射衍射表征,系统地研究了一种新型亚稳β钛合金的动态力学行为和微观组织演变。结果表明:压缩应力随应变速率的增大和温度的降低而增大;屈服后,压缩应力-应变模式在低温、高应变速率下表现为流动软化,在高温、低应变速率下保持稳定流动状态。在高应变速率下,温升效应导致了较大程度的流动软化。修正温升后,建立了应力-应变本构关系,表明不同相区的压缩行为不同。通过显微组织表征发现,在低应变速率下,β相区热变形以动态恢复和动态再结晶为主,而在高应变速率下,α + β相区热变形带作为附加产物存在。这些结果有助于更好地理解所考虑的合金的TMP,也可能为β-钛合金在轻量化机械系统中的应用提供有用的数据库。
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引用次数: 0
Hybrid multibody system method for the dynamic analysis of an ultra-precision fly-cutting machine tool 超精密飞切机床动力学分析的混合多体系统方法
Pub Date : 2022-10-20 DOI: 10.1002/msd2.12051
Hanjing Lu, Xiaoting Rui, Ziyao Ma, Yuanyuan Ding, Yiheng Chen, Yu Chang, Xuping Zhang

The dynamics of an ultra-precision machine tool determines the precision of the machined surface. This study aims to propose an effective method to model and analyze the dynamics of an ultra-precision fly-cutting machine tool. First, the dynamic model of the machine tool considering the deformations of the cutter head and the lathe head is developed. Then, the mechanical elements are classified into M subsystems and F subsystems according to their properties and connections. The M-subsystem equations are formulated using the transfer matrix method for multibody systems (MSTMM), and the F-subsystem equations are analyzed using the finite element method and the Craig–Bampton reduction method. Furthermore, all the subsystems are assembled by combining the restriction equations at connection points among the subsystems to obtain the overall transfer equation of the machine tool system. Finally, the vibration characteristics of the machine tool are evaluated numerically and are validated experimentally. The proposed modeling and analysis method preserves the advantages of the MSTMM, such as high computational efficiency, low computational load, systematic reduction of the overall transfer equation, and generalization of its computational capability to general flexible-body elements. In addition, this study provides theoretical insights and guidance for the design of ultra-precision machine tools.

超精密机床的动力学特性决定了加工表面的精度。本研究旨在提出一种有效的方法来建模和分析超精密飞切机床的动力学。首先,建立了考虑刀头和车床刀头变形的机床动力学模型;然后,根据机械元件的性质和联系将其分为M子系统和F子系统。采用多体系统传递矩阵法(MSTMM)建立了m -子系统方程,采用有限元法和Craig-Bampton约简法对f -子系统方程进行了分析。将各子系统连接点处的约束方程组合起来,得到机床系统的整体传递方程。最后,对机床的振动特性进行了数值计算和实验验证。所提出的建模和分析方法保留了MSTMM的计算效率高、计算量小、系统地简化了整体传递方程以及将其计算能力推广到一般柔体单元等优点。此外,该研究为超精密机床的设计提供了理论见解和指导。
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引用次数: 4
Grating-like anechoic layer for broadband underwater sound absorption 宽带水声吸收的栅格状消声层
Pub Date : 2022-10-18 DOI: 10.1002/msd2.12053
Chenlei Yu, Mingyu Duan, Wei He, Xin Chen, Fengxian Xin, Tian J. Lu

To address the challenging task of effective sound absorption in the low and broad frequency band for underwater structures, we propose a novel grating-like anechoic layer by filling rubber blocks and an air backing layer into metallic grating. The metallic gratings are incorporated into the anechoic layer as a skeleton for enhanced viscoelastic dissipation by promoting shear deformation between rubber and metal plates. The introduction of an air backing layer releases the bottom constraint of the rubber, thus intensifying its deformation under acoustic excitation. Based on the homogenization method and the transfer matrix method, a theoretical model is developed to evaluate the sound absorption performance of the proposed anechoic layer, which is validated against finite element simulation results. It is demonstrated that a sound absorption coefficient of the grating-like anechoic layer of 0.8 can be achieved in the frequency range of 1294–10 000 Hz. Given the importance of sound absorption at varying frequencies, the weighted average method is subsequently used to comprehensively evaluate the performance of the anechoic layer. Then, with structural density taken into consideration, an integrated index is proposed to further evaluate the acoustic properties of the proposed anechoic layer. Finally, the backing conditions and the boundary conditions of finite-size structures are discussed. The results provide helpful theoretical guidance for designing novel acoustic metamaterials with broadband low-frequency underwater sound absorption.

为了解决水下结构在低频段和宽频段有效吸声的难题,我们提出了一种新型的类似光栅的消声层,通过在金属光栅中填充橡胶块和空气支撑层。金属光栅作为骨架纳入消声层,通过促进橡胶和金属板之间的剪切变形来增强粘弹性耗散。空气衬垫层的引入解除了橡胶的底部约束,从而加剧了其在声激励下的变形。基于均匀化法和传递矩阵法,建立了消声层吸声性能的理论模型,并与有限元仿真结果进行了对比验证。结果表明,在1294 ~ 10000hz的频率范围内,类光栅消声层的吸声系数为0.8。考虑到不同频率吸声的重要性,随后采用加权平均法对消声层的性能进行综合评价。然后,在考虑结构密度的情况下,提出了一种综合指标来进一步评价所提出的消声层的声学特性。最后讨论了有限尺寸结构的支撑条件和边界条件。研究结果为设计具有宽带低频吸声特性的新型声学超材料提供了有益的理论指导。
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引用次数: 2
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国际机械系统动力学学报(英文)
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