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Absence of trajectory paradox for a moving mass on a stretched Reissner-Simo geometrically exact beam 拉伸Reissner-Simo几何精确梁上运动质量轨迹悖论的不存在性
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-31 Epub Date: 2025-12-18 DOI: 10.1016/j.jsv.2025.119616
Kush Kumar, Shakti S. Gupta
An unusual jump, called the trajectory paradox, near the boundary, in the trajectory of a uniformly moving point mass on a taut classical string has been reported. This jump renders the linearity assumption in the string model inapplicable. Further, the usage of global trigonometric functions for solving this string-moving mass problem is prone to exhibiting the Gibbs phenomenon. These two may give a false notion of existence of the trajectory paradox in the system. This motivates the current study to employ the planar Reissner-Simo geometrically exact (GE) beam to investigate the paradox. A taut string model is replicated by a pre-stretched GE beam, subjected to a moving point mass. The model considers all relevant acceleration components and inertial effect of the mass. The dynamic response is computed using nonlinear finite element method for different parameters. The model is validated for a moving point force with the results obtained from the classical string model. For the case of the moving point mass on the stretched GE beam, computations reveal an absence of the trajectory paradox. Also, the dynamic tension in the GE beam causes early appearance of kinks compared to that in the string model, in the response curves. Therefore, future studies on moving masses over flexible structures must incorporate large geometric deformations using appropriate nonlinear models.
一个不寻常的跳跃,称为轨迹悖论,在边界附近,在一个均匀移动的点质量在一个紧绷的经典弦的轨迹已被报道。这种跳跃使得字符串模型中的线性假设不适用。此外,使用全局三角函数求解弦运动质量问题容易出现吉布斯现象。这两个可能给出系统中轨迹悖论存在的错误概念。这促使本研究采用平面赖斯纳-西莫几何精确(GE)光束来研究这一悖论。绷紧的弦模型被预拉伸的GE梁复制,受到移动点质量的影响。该模型考虑了所有相关的加速度分量和质量的惯性效应。采用非线性有限元法计算了不同参数下的动力响应。用经典弦模型的计算结果对模型进行了验证。对于在拉伸的GE梁上移动的质点,计算表明不存在轨迹悖论。此外,在响应曲线中,与弦模型相比,GE梁的动张力导致扭结更早出现。因此,未来对柔性结构上运动质量的研究必须采用适当的非线性模型来考虑大的几何变形。
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引用次数: 0
Corrigendum to “Pseudo-intensity vector based sound speed measurement in indoor environments and its application to beamforming calibration” [Journal of Sound and Vibration, 625 (2026), 1–13/119561] “基于伪强度矢量的室内声速测量及其在波束形成校准中的应用”的勘误[j] .声与振动学报,625(2026),1-13/119561。
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-31 Epub Date: 2025-12-24 DOI: 10.1016/j.jsv.2025.119620
Bing Zhu, Wen Zhang, Xianrui Wang, Jingdong Chen
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引用次数: 0
Direct impedance eduction of acoustic liners in multimodal ducts with shear flows 具有剪切流的多模态管道中声学衬垫的直接阻抗导出
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-31 Epub Date: 2026-01-05 DOI: 10.1016/j.jsv.2025.119635
Jinyue Yang , Thomas Humbert , Joachim Golliard , Gwénaël Gabard
Impedance eduction of acoustic liners with flow is usually performed under the assumption of a uniform mean flow and in the presence of an incident plane wave. However, recent studies have demonstrated that shear flow significantly influences the propagation of sound waves and their interaction with the liner. Consequently, it is crucial to characterize acoustic treatments in flow and acoustic conditions that closely resemble their target application, such as aircraft nacelles. This paper investigates and validates experimentally a direct method of impedance eduction in multimodal sound fields with shear flows on the MAINE Flow facility, which was validated only through simulations. Besides the double-liner configuration proposed to enhance the eduction robustness, additional developments are implemented, including a dominant mode selection algorithm to address the complexity introduced by multimodal fields and a 2-line microphone array design to avoid spurious mode effects. Different high-order incident modes (in the direction normal to the liner) are also considered. Finally, the recommended setup, with two types of liner samples, are used to investigate the effects of flow and incident acoustic field on liner impedance. It is also observed that using antisymmetric high-order modes as incident field significantly enhances the robustness of the eduction process.
流声衬垫的阻抗排除通常是在均匀平均流和入射平面波存在的假设下进行的。然而,近年来的研究表明,剪切流动对声波的传播及其与衬垫的相互作用有显著影响。因此,在与目标应用(如飞机机舱)非常相似的流动和声学条件下,对声学处理进行表征至关重要。本文研究并实验验证了在缅因流设备上的剪切流多模态声场中阻抗消减的直接方法,该方法仅通过模拟得到验证。除了提出的双线性配置以增强输出鲁棒性外,还实现了其他开发,包括解决多模态场引入的复杂性的主导模式选择算法和避免杂散模式效应的2线麦克风阵列设计。还考虑了不同的高阶入射模式(垂直于直线方向)。最后,采用推荐的设置和两种类型的衬垫样品,研究了流动和入射声场对衬垫阻抗的影响。我们还观察到,使用反对称高阶模作为入射场显著提高了导出过程的鲁棒性。
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引用次数: 0
Analytical local sensitivity analysis of frequency response function and transmissibility function with a view towards Bayesian damage detection 基于贝叶斯损伤检测的频响函数和传递函数的局部灵敏度分析
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-31 Epub Date: 2025-12-28 DOI: 10.1016/j.jsv.2025.119629
Jian-Min Sun , Qian Sun , Wang-Ji Yan , Dan Li , Yu-Song Liu
Frequency response functions (FRFs) and transmissibility functions (TFs) serve as key tools in vibration-based damage detection, eliminating the necessity for additional modal parameter identification. Despite their widespread application, analytical comparisons between FRF-based and TF-based indicators for damage detection and localization remain scarce. This research provides a comprehensive evaluation of the utility of FRF and TF data across frequency bands for damage detection, localization, and actuator placement optimization. Based on FRF sensitivity formulations in both frequency and modal domains, two closed-form expressions for TF sensitivity are derived using a direct algebraic method, with one involving derivatives of physical parameters (i.e., mass, stiffness, and damping) and the other relying on eigen-solution sensitivities. To address the ill-posedness and uncertainty quantification in damage identification, damage detection schemes are established by solving sensitivity-based damage equations within a Bayesian regularization framework, enabling reliable identification of both single and multiple damage scenarios. Numerical studies confirm the accuracy of the formulas of sensitivity analysis and the Bayesian damage detection method. A comparative analysis of the damage sensitivities of FRF and TF data is also conducted with respect to damage location, excitation position, and frequency range.
频率响应函数(frf)和传递函数(TFs)是基于振动的损伤检测的关键工具,消除了额外模态参数识别的必要性。尽管它们被广泛应用,但基于频响函数和基于tf的损伤检测和定位指标之间的分析比较仍然很少。该研究对跨频段的频响和频响数据在损伤检测、定位和致动器放置优化方面的效用进行了全面评估。基于频域和模态域的频响灵敏度公式,采用直接代数方法推导了频响灵敏度的两个封闭表达式,其中一个涉及物理参数(即质量、刚度和阻尼)的导数,另一个依赖于本征解灵敏度。为了解决损伤识别中的病态性和不确定性量化问题,在贝叶斯正则化框架下,通过求解基于灵敏度的损伤方程,建立了损伤检测方案,实现了对单个和多个损伤场景的可靠识别。数值研究证实了灵敏度分析公式和贝叶斯损伤检测方法的准确性。对比分析了FRF和TF数据在损伤位置、激励位置和频率范围等方面的损伤灵敏度。
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引用次数: 0
Data-driven discovery of weakly nonlinear acoustic wave equations 弱非线性声波方程的数据驱动发现
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-31 Epub Date: 2025-12-30 DOI: 10.1016/j.jsv.2025.119625
Viktor Hruška , Aneta Furmanová , Tereza Filipská , Jan Valášek
In this article, data-driven methods for discovering governing equations are brought to the field of finite-amplitude acoustics, and the associated challenges are examined. One significant difficulty is the numerical evaluation of derivatives in the vicinity of shocks, which is solved by employing a weak formulation of the partial differential equations. For benchmarking, the classical model equations in the weakly nonlinear regime are recovered from data: the Westervelt equation for purely progressive waves and the Kuznetsov equation for interfering waves. The results further demonstrate that the approach is applicable to partial differential equations involving a second time derivative, as well as to problems in more than one spatial dimension.
在本文中,用于发现控制方程的数据驱动方法被带到有限振幅声学领域,并研究了相关的挑战。一个重要的困难是在冲击附近导数的数值计算,这是通过采用偏微分方程的弱公式来解决的。为了进行基准测试,从数据中恢复了弱非线性状态下的经典模型方程:纯渐进波的Westervelt方程和干涉波的Kuznetsov方程。结果进一步表明,该方法适用于包含二阶导数的偏微分方程,也适用于多个空间维度的问题。
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引用次数: 0
Negative stiffness friction damper with viscoelastic connection for cable vibration control 用于电缆振动控制的粘弹性连接负刚度摩擦阻尼器
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-31 Epub Date: 2026-01-03 DOI: 10.1016/j.jsv.2025.119632
Lin Chen , Jiaxu Tan , Nahimul Nabil Muhit , Limin Sun
Cables in cable-supported bridges are susceptible to multimode vibrations under environmental excitations such as wind and rain. Mechanical dampers, commonly installed near the lower end of the cable, are widely used for vibration control. However, as cable length increases, these dampers face challenges in meeting design requirements due to the relatively shorter installation distance and the growing number of target vibration modes. To address this issue, this study proposes a novel negative stiffness friction damper (NSFD) for cable vibration control. The NSFD employs a precompressed spring to generate both the negative stiffness effect and the normal force on the friction interface. A lever arm is introduced to amplify both the negative stiffness and the friction force. Furthermore, high-damping rubber elements are integrated as the viscoelastic connection to provide damping during small-amplitude vibrations, when the friction interface does not engage. The linearized negative stiffness coefficient of the NSFD is derived, and its damping performance is evaluated analytically using an energy equivalence approach. A numerical model of the cable-NSFD system is developed, incorporating friction behavior described by the LuGre model, to further investigate its vibration reduction effectiveness. Numerical analysis results demonstrate that the NSFD significantly enhances the damping performance compared to traditional friction dampers and achieves comparable performance to that of an optimal viscous damper with negative stiffness. Moreover, the NSFD offers improved stability due to static friction and delivers nearly frequency-independent control across multiple vibration modes.
在风、雨等环境激励下,索桥中的电缆易受多模态振动的影响。机械阻尼器通常安装在电缆下端附近,广泛用于振动控制。然而,随着电缆长度的增加,由于相对较短的安装距离和越来越多的目标振动模式,这些阻尼器在满足设计要求方面面临挑战。为了解决这一问题,本研究提出了一种新型的负刚度摩擦阻尼器(NSFD)用于电缆振动控制。NSFD采用预压缩弹簧在摩擦界面上产生负刚度效应和法向力。引入杠杆臂来放大负刚度和摩擦力。此外,当摩擦界面不啮合时,高阻尼橡胶元件作为粘弹性连接集成在一起,在小振幅振动时提供阻尼。推导了非NSFD的线性化负刚度系数,并采用能量等效法对其阻尼性能进行了解析评价。建立了拉索-非nsfd系统的数值模型,结合LuGre模型描述的摩擦行为,进一步研究了其减振效果。数值分析结果表明,与传统的摩擦阻尼器相比,NSFD显著提高了阻尼性能,并达到了与负刚度最优粘性阻尼器相当的性能。此外,由于静摩擦,NSFD提供了更好的稳定性,并且在多种振动模式下提供了几乎与频率无关的控制。
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引用次数: 0
An approximate method for predicting the spectra and coherences of systems with stiffness nonlinearities subjected to broadband random excitation 宽频带随机激励下刚度非线性系统的谱和相干的近似预测方法
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-31 Epub Date: 2025-12-16 DOI: 10.1016/j.jsv.2025.119610
R.S. Langley
An approximate method is presented for predicting the response of a multi-degree-of-freedom nonlinear system which is subject to random excitation, with an emphasis on predicting covariances, cross-spectra, and coherence values. The analysis is restricted to systems that have a stiffness (displacement) nonlinearity and the excitation is assumed to be sufficiently broad-band that it can be approximated as white noise. A further restriction is that the system response is taken to satisfy detailed balance, which places no restriction on single-degree-of-freedom systems, but for multi-degree-of-freedom systems special conditions must apply, one sufficient condition being that the linear damping matrix is proportional to the cross-spectral matrix of the excitation. The approach is based on a combination of concepts from the Wiener series and the Fokker-Planck-Kolmogorov equation. In developing the method a number of subsidiary results are obtained, including a number of spectral relationships which represent a generalization and extension of the fluctuation-dissipation relation that is known in the physics literature. In addition, various closed-form results are obtained for covariances involving both the response and the nonlinear restoring forces, which have wider interest. The method is applied to both single and two-degree-of-freedom examples and it is demonstrated that good results can be obtained using a negligible amount of computation time.
提出了一种预测随机激励下多自由度非线性系统响应的近似方法,重点是预测协方差、交叉谱和相干值。分析仅限于具有刚度(位移)非线性的系统,并且假设激励具有足够宽的频带,可以近似为白噪声。进一步的限制是,系统响应必须满足详细平衡,这对单自由度系统没有限制,但对于多自由度系统必须适用特殊条件,一个充分条件是线性阻尼矩阵与激励的交叉谱矩阵成正比。该方法基于维纳级数和福克-普朗克-柯尔莫哥洛夫方程的概念组合。在发展该方法的过程中,获得了一些辅助结果,包括一些谱关系,这些谱关系代表了物理文献中已知的涨落-耗散关系的推广和扩展。此外,对于涉及响应和非线性恢复力的协方差,得到了各种封闭的结果,具有广泛的研究意义。将该方法应用于单自由度和二自由度的算例,结果表明,该方法可以在很小的计算时间内得到很好的结果。
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引用次数: 0
The active acoustic metamaterial cell for nonreciprocal sound transmission in a broad frequency band 用于在宽频带内进行非互易声传输的有源声学超材料单元
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-17 Epub Date: 2025-11-29 DOI: 10.1016/j.jsv.2025.119574
S. Arandia-Krešić , N. Alujević , S. Chesne , F.Ç. Bolat
This article presents a theoretical study of the active acoustic metamaterial cell for nonreciprocal sound transmission in a broad frequency band. In order to achieve the nonreciprocity, dislocated sensor-actuator pairs are used. This contrasts with traditional vibroacoustic active control methods which rely on collocated sensor-actuator pairs to ensure the closed-loop system stability. The cell is activated with two independent decentralised velocity feedback loops, connecting feedback actuators to dislocated sensors through a constant feedback gain. Transducers induce spatially asymmetric control force which makes the propagation of acoustic energy through the cell direction-dependent and thus nonreciprocal. Despite the fact that the two decentralised feedback loops are based on dislocated transducers, and the distributed parameter nature of the cell, simple and practical conditions for a stable closed-loop system with efficient and broadband performance of the active cell are found. Special attention is paid to the power analysis of the reflected and transmitted waves, and the power dissipated within the metamaterial cell. It is theoretically shown that sound power transmission coefficient through the active cell is significantly different in two opposite directions of propagation at a broadband frequency range from 10 to 1500 Hz.
本文从理论上研究了宽频带非互易声传输的有源声学超材料电池。为了实现非互易性,采用了位错的传感器-执行器对。这与传统的振动声主动控制方法不同,传统的振动声主动控制方法依赖于配置的传感器-执行器对来保证闭环系统的稳定性。该单元由两个独立的分散速度反馈回路激活,通过恒定的反馈增益将反馈致动器连接到错位传感器。换能器诱导出空间不对称的控制力,使得声能在细胞内的传播具有方向性和非互反性。尽管两个分散反馈回路是基于位错换能器的,并且单元的分布参数性质,但找到了一个具有有效和宽带性能的稳定闭环系统的简单实用条件。特别注意了反射波和透射波的功率分析,以及在超材料电池内耗散的功率。理论上表明,在10 ~ 1500hz的宽带频率范围内,声功率通过有源单元在两个相反方向上的传播系数有显著差异。
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引用次数: 0
The effect of friction on the dynamics of targeted energy transfer by symmetric vibro-impact dampers 摩擦对对称振动冲击阻尼器目标能量传递动力学的影响
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-17 Epub Date: 2025-11-28 DOI: 10.1016/j.jsv.2025.119565
B. Youssef, A.Y. Karoui, R.I. Leine
This study investigates the nonlinear dynamics of a symmetric vibro-impact nonlinear energy sink (VI-NES) subjected to dry friction, a crucial factor that remains insufficiently explored in previous research. The combined effect of impact and friction leads to intricate behaviors that require further investigation. To address this, the multiple scales method is extended to incorporate frictional effects and is complemented with a generalized impact map approach. This allows for a systematic exploration of periodic solutions, stability, and bifurcations, revealing critical transitions between impact-dominated and sliding-dominated regimes. The activation thresholds and amplitude levels for different response regimes, including stick-slip dynamics, are identified, offering new insights into friction-induced nonlinearities. The results bridge the gap between theoretical modeling and practical implementation, offering a more accurate predictive framework for VI-NES behavior. This improves design strategies for enhanced energy dissipation and robustness in real-world applications.
本文研究了对称振动冲击非线性能量汇(VI-NES)在干摩擦作用下的非线性动力学,这是以往研究中尚未充分探讨的一个关键因素。碰撞和摩擦的共同作用导致了复杂的行为,需要进一步研究。为了解决这个问题,多尺度方法被扩展到包含摩擦效应,并与广义影响图方法相辅相成。这允许系统地探索周期解、稳定性和分岔,揭示冲击主导和滑动主导之间的关键转变。确定了不同响应机制(包括粘滑动力学)的激活阈值和振幅水平,为摩擦引起的非线性提供了新的见解。研究结果弥合了理论建模与实际实现之间的差距,为VI-NES行为提供了更准确的预测框架。这改进了在实际应用中增强能量耗散和鲁棒性的设计策略。
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引用次数: 0
Stabilizing effects of two outlet pipes in the delayed oscillator model of pressure relief valves 减压阀延迟振荡模型中两出口管道的稳定作用
IF 4.9 2区 工程技术 Q1 ACOUSTICS Pub Date : 2026-03-17 Epub Date: 2025-11-24 DOI: 10.1016/j.jsv.2025.119563
Fanni Kadar , Rifat Sipahi
Pressure relief valves are safety-critical elements of high-pressure systems, but design aspects need to be further developed to avoid their harmful vibrations. A mechanical model for a system consisting of a vessel, a direct spring operated pressure relief valve, and two outlet pipes is presented. The mathematical representation is a system of Delay Differential Algebraic Equations (DDAE) with two time delays created by traveling wave solutions of the Partial Differential Equations describing the dynamics in the pipes. Thus, the time delays correspond to wave propagation times in the pipes. The model is an extension to the single outlet pipe (single-delay) setup, which is a mathematical limit case of the two-delay problem. In the case of the single outlet pipe, it was shown that the traveling wave propagation in the pipe stabilizes the equilibrium of the corresponding DDAE. In this manuscript, we show that the two-pipe design is also able to stabilize the equilibrium, but importantly, it substantially expands the parameter domains for which stability holds while it improves the transient dynamics. The study requires the treatment of neutral time delay equations in the presence of delay cross-talk between the two time delays. Analytical and numerical techniques are applied in order to produce stability charts and study the robustness. Several engineering aspects are analyzed, and they show the two-pipe arrangement as a powerful tool to design stable operation conditions for various parameter settings.
减压阀是高压系统的安全关键元件,但设计方面需要进一步发展,以避免其有害的振动。给出了由一个容器、一个直接弹簧操作的减压阀和两根出口管道组成的系统的力学模型。其数学表示是由描述管道动力学的偏微分方程的行波解产生两个时间延迟的延迟微分代数方程(DDAE)系统。因此,时间延迟对应于波在管道中的传播时间。该模型是对单出口管道(单延迟)设置的扩展,是双延迟问题的数学极限情况。在单出口管道的情况下,行波在管道中的传播使相应的DDAE平衡趋于稳定。在本文中,我们证明了双管设计也能够稳定平衡,但重要的是,它在改善瞬态动力学的同时,大大扩展了稳定性所保持的参数域。本研究要求在两个时滞间存在时滞串扰的情况下,对中性时滞方程进行处理。本文采用解析和数值方法生成了稳定性图,并对鲁棒性进行了研究。从几个工程方面进行了分析,表明双管布置是设计各种参数设置下稳定运行条件的有力工具。
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引用次数: 0
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Journal of Sound and Vibration
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