Journal of Sound and Vibration最新文献_第2页

Double bandgap formation in a locally resonant metamaterial micromorphic beam 局部共振超材料微晶束中双带隙的形成

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-12 DOI: 10.1016/j.jsv.2026.119659

M. Trabelssi , S. El-Borgi , N. Challamel , M.I. Friswell

The present study investigates bandgap formation in micromorphic metamaterial Euler-Bernoulli beams, with the problem also modeled using a nonlocal strain gradient framework. Both models are mathematically well-posed, sharing identical governing equations but differing in the definiteness of their potential energy. Multiple oscillators, arranged in two distinct configurations according to the local resonance principle, are employed to realize a double bandgap structure. Application of Hamilton’s principle yields the non-dimensional governing equations of motion, expressed as a sixth-order system with corresponding boundary conditions. Bandgap edge frequencies are determined from wave dispersion analysis in an infinitely long beam by means of periodic unit cell modeling. Dispersion relations derived through homogenization and transfer matrix methods are consistent with each other and with previously established results. Two homogenization approaches are examined: a one-field displacement-based formulation, which neglects nonlocal oscillator inertia and fails to guarantee asymptotic consistency when the nonlocal and strain gradient parameters are equal and large; and a two-field formulation, which resolves this limitation and preserves consistency. Dispersion curves obtained from both homogenization schemes are compared with those from the transfer matrix method to assess accuracy. The dispersion characteristics derived from the infinite medium formulation are further validated by frequency response functions of a finite-length nanobeam, demonstrating agreement between spectral predictions and bounded system dynamics. Finally, a parametric study explores the influence of key parameters, including the nonlocal and strain gradient coefficients, unit cell length, and resonator-to-unit-cell mass ratio, on bandgap formation in metamaterial beams.

本研究研究了微晶超材料欧拉-伯努利梁中的带隙形成，并使用非局部应变梯度框架对该问题进行了建模。这两个模型在数学上都是很好的，共享相同的控制方程，但在势能的确定性上有所不同。采用多振子，根据局部共振原理，以两种不同的构型排列，实现双带隙结构。应用哈密顿原理得到无量纲运动控制方程，表示为具有相应边界条件的六阶系统。利用周期单元胞模型对无限长波束中的色散分析确定了带隙边缘频率。通过均匀化和传递矩阵方法推导出的色散关系相互一致，并与前人的结果一致。研究了两种均匀化方法：一种基于单场位移的公式，当非局部和应变梯度参数相等且较大时，该公式忽略了非局部振子惯性，不能保证渐近一致性；还有一个双场公式，它解决了这个限制并保持了一致性。将两种均质方案得到的色散曲线与传递矩阵法得到的色散曲线进行了比较，以评估其准确性。由无限介质公式导出的色散特性通过有限长度纳米光束的频率响应函数进一步验证，证明了光谱预测与有界系统动力学之间的一致性。最后，参数研究探讨了关键参数，包括非局部和应变梯度系数，单元胞长度和谐振器-单元胞质量比，对超材料光束中带隙形成的影响。

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引用次数: 0

Corrigendum to “Vibration characteristics of integrally mistuned turbine blisks with hard-coating and bladed multi-packet shrouds” [Journal of Sound and Vibration, Volume 625, 17 March 2026, 119607] “带有硬涂层和叶片多包护罩的整体失谐涡轮叶片的振动特性”的勘误[声音与振动杂志，625卷，2026年3月17日，119607]

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-12 DOI: 10.1016/j.jsv.2026.119655

Wensai Ma , Bin Bai , Xiang Li , Xinye Li , Shichuan Wang , Gang Chen

引用次数: 0

Vibration-weighted maximum correlated kurtosis deconvolution and latent cyclic pattern discovery for fault diagnosis of high-speed rail bogies 振动加权最大相关峰度反褶积及潜在循环模式发现用于高速铁路转向架故障诊断

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-11 DOI: 10.1016/j.jsv.2026.119657

Peng Chen , Yuhao Wu , Junxiao Ma , Ruijin Zhang , Ge Xin , Changbo He

Real-world high-speed rail bogie vibration signals combine mechanical oscillations, deterministic periodic components (e.g., gear-mesh harmonics and wheel-rail interactions), environmental noise, and transients, making fault features hard to isolate. Diagnosis is further hindered by manual hyperparameter tuning, weak impulsive signatures at low Signal-to-Noise Ratio (SNR), overlapping spectral-temporal content with mode mixing, and high computational cost on long multi-channel records. We propose a multi-source vibration demodulation framework–an optimized Maximum Correlated Kurtosis Deconvolution (MCKD) with vibration-weighted grading distribution and Latent Cyclic Pattern Discovery (LCPD). The method couples spectral-negentropy-driven adaptivity for Minimum Entropy Deconvolution (MED)/MCKD filter length and regularization with wavelet-packet multiscale decomposition guided by correlation-kurtosis band selection, and periodic dynamic windows with a Vibration Amplitude-based Grading and Weighting Distribution (VAGWD), enabling adaptive deconvolution, enhanced weak-impulse extraction, and cycle-synchronous separation and quantification without empirical tuning. The LCPD module exploits envelope-cepstral cues, squared-envelope autocorrelation, and cyclic spectral coherence to recover hidden or time-warped periodicities under compound-fault conditions. Experiments on bogie datasets show higher diagnostic accuracy, greater noise robustness, and improved computational efficiency than MED, Multipoint Optimal Minimum Entropy Deconvolution Adjusted (MOMEDA), and baseline MCKD, enabling reliable and efficient compound-fault diagnosis in high-speed rail bogies.

现实世界的高速铁路转向架振动信号结合了机械振荡、确定性周期性分量（如齿轮啮合谐波和轮轨相互作用）、环境噪声和瞬态，使得故障特征难以分离。人工超参数调谐、低信噪比（SNR）下的弱脉冲特征、模式混合的频谱时间内容重叠以及长多通道记录的高计算成本进一步阻碍了诊断。我们提出了一种多源振动解调框架——具有振动加权分级分布和潜在循环模式发现（LCPD）的优化最大相关峰度反卷积（MCKD）。该方法结合了光谱负熵驱动的最小熵反褶积(MED)/MCKD滤波器长度的自适应特性和相关峰度波段选择指导的小波包多尺度分解的正则化特性，以及基于振动幅值的分级和加权分布（VAGWD）的周期性动态窗口，实现了自适应反褶积、增强的弱脉冲提取以及无需经验调谐的周期同步分离和量化。LCPD模块利用包络-倒谱信号、平方包络自相关和循环频谱相干性来恢复复合故障条件下隐藏或时间扭曲的周期性。在转向架数据集上的实验表明，与MED、多点最优最小熵反卷积调整（MOMEDA）和基线MCKD相比，该方法具有更高的诊断精度、更强的噪声鲁棒性和更高的计算效率，可实现可靠、高效的高速铁路转向架复合故障诊断。

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引用次数: 0

Serration manufacturing effects on propeller trailing edge noise mechanisms 锯齿加工对螺旋桨尾缘噪声机理的影响

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-10 DOI: 10.1016/j.jsv.2026.119656

Jorge Santamaria , Sylvain Belliot , Marlène Sanjosé , Romain Gojon , Stéphane Moreau

Trailing edge noise is an important broadband noise source of hovering UAV rotors, which can be reduced by trailing edge serrations. Ayton’s theoretical model provides predictions for serrated trailing edge noise generated by a fully turbulent flow over an infinitesimally thin plane. This study assesses the validity of these assumptions by considering the effects of serration installation and manufacturing. Several propellers of the same design were 3D printed and tested in an anechoic room, where far-field noise and aerodynamic performances were collected. The baseline configuration exhibits clear evidence of laminar boundary-layer instability noise. Cut-in and add-on serrations alleviate this noise mechanism. Similarly, to overcome the influence of laminar to turbulent transition over the blade surface, some propellers also include additional tripping elements to trigger the turbulence. Cut-in serrations experience additional vortex-shedding noise characterized by a Strouhal number based on the serration root thickness. The results show that serrations are a viable method to control trailing edge noise at low RPM, where broadband noise dominates over tonal noise. Finally, the analytical predictions successfully capture the noise reduction trends for the add-on serrations. In particular, the model can capture their frequency range of effectiveness and the relative variation of the mitigation with rotational speed. There is better agreement between the model and the experiments for the design that includes tripping. This outcome highlights the importance of considering the manufacturing method during the design phase.

后缘噪声是悬停无人机旋翼中一个重要的宽带噪声源，可通过后缘锯齿减小后缘噪声。艾顿的理论模型提供了在无限小的薄平面上完全紊流产生的锯齿状尾缘噪声的预测。本研究通过考虑齿轮安装和制造的影响来评估这些假设的有效性。几个相同设计的螺旋桨进行了3D打印，并在消声室进行了测试，在那里收集了远场噪声和空气动力学性能。基线结构显示出层流边界层不稳定噪声的明显证据。插入式和附加式齿形可以减轻这种噪音机制。同样，为了克服叶片表面层流到湍流过渡的影响，一些螺旋桨还包括额外的脱扣元件来触发湍流。切割锯齿会经历额外的旋涡脱落噪声，其特征是基于锯齿根部厚度的斯特罗哈尔数。结果表明，在低转速下，宽带噪声比音调噪声占主导地位，锯齿是一种可行的控制后缘噪声的方法。最后，分析预测成功地捕获了附加服务的降噪趋势。特别是，该模型可以捕获它们的有效频率范围和减缓随转速的相对变化。对于包含跳闸的设计，模型与实验结果吻合较好。这一结果突出了在设计阶段考虑制造方法的重要性。

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引用次数: 0

Maximum response of SDOF systems under consecutive triangular pulses 连续三角脉冲作用下SDOF系统的最大响应

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-10 DOI: 10.1016/j.jsv.2025.119631

Ran Eckl, Hezi Y. Grisaro

This study investigates the dynamic response of linear-elastic and elastic-plastic Single Degree of Freedom (SDOF) systems subjected to two consecutive triangular pulse loads, a scenario relevant to blast-resistant design yet often neglected in conventional analysis. The concept of an amplification factor (AMF) is introduced to quantify the increase in maximum displacement relative to a single load. The response is analyzed across three classical regimes: impulsive, dynamic, and quasi-static, highlighting the dominant role of delay time between pulses in shaping the structural response. Closed-form expressions are derived for AMF in both impulsive and quasi-static limits, and analytical relationships are established between the amplification factor and the asymptotic bounds of Pressure-Impulse (P-I) diagrams. Parametric studies show that while the impulse and peak pressure ratios (η and κ) set the amplification bounds, the delay time (t_h) critically governs the maximum response. In the elastic-plastic case, three distinct regimes are identified based on the yielding state at the time of the second load, and closed-form expressions for the asymptotes are derived. The findings offer both fundamental insight and practical tools for constructing conservative failure envelopes without the need for extensive numerical simulations.

本文研究了线弹性和弹塑性单自由度（SDOF）系统在两个连续三角形脉冲载荷作用下的动态响应，这是一种与防爆设计相关但在传统分析中经常被忽视的情况。引入了放大因子（AMF）的概念来量化相对于单个负载的最大位移的增加。分析了三种经典状态下的响应：脉冲、动态和准静态，强调了脉冲间延迟时间在形成结构响应中的主导作用。导出了AMF在脉冲极限和准静态极限下的封闭表达式，建立了放大因子与压力-脉冲图渐近界之间的解析关系。参数研究表明，当脉冲和峰值压力比（η和κ）设定放大边界时，延迟时间（th）关键地控制最大响应。在弹塑性情况下，根据第二次加载时的屈服状态识别出三种不同的状态，并推导出渐近线的封闭表达式。这些发现为构建保守失效包络层提供了基本的见解和实用的工具，而无需进行大量的数值模拟。

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引用次数: 0

On the dynamics of viscoelastic cantilever beams under arbitrary base motion and eccentric damped tip mass via integral transform 基于积分变换的粘弹性悬臂梁在任意基座运动和偏心阻尼质量作用下的动力学研究

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-09 DOI: 10.1016/j.jsv.2026.119640

Gianfranco deM. Stieven , Carlos F.T. Matt , Liviu Nicu , Carolina P. Naveira-Cotta , Renato M. Cotta

A comprehensive hybrid analytical-numerical solution is presented for a viscoelastic cantilever Euler-Bernoulli beam with an eccentric damped tip mass, subjected to external excitation, viscous damping, and an arbitrary base motion that undergoes translation and small rotation. The solution is obtained using the Generalized Integral Transform Technique (GITT), based on the application of an implicit filter and an eigenfunction expansion supported by a biharmonic-type eigenvalue problem, yielding a fast and straightforward implementation. A numerically stabilized eigenproblem formulation is proposed, ensuring robust convergence and accurate eigenfunctions. This hybrid solution, presented in a state-space framework, is validated experimentally against damped and undamped natural frequencies, and verified numerically through time-varying free and forced transverse deflection. A physical analysis is presented through four studies: (i) parametric maps of the first two complex eigenvalues, highlighting the distinct modal roles of viscoelastic damping and viscous damping, tip mass magnitude, and eccentricity; (ii) the combined effect of tip-mass eccentricity and internal damping on free and forced vibration; (iii) the influence of tip-mass damping and viscoelastic damping on free and forced vibration; and (iv) a Frequency Response Function (FRF) evaluation considering viscoelastic damping and viscous damping. The resulting formulation delivers fast-convergent solutions, providing closed-form base actions and frequency-response characterizations. The accompanying time- and frequency-domain results, together with compact eigenvalue maps, supply benchmark-quality references that clarify damping and eccentricity effects and support design, identification, and model assessment in linear vibration.

提出了具有偏心阻尼尖端质量的粘弹性悬臂欧拉-伯努利梁的综合混合解析-数值解，该梁受外部激励、粘性阻尼和任意平移和小旋转基底运动的影响。基于隐式滤波器和双调和型特征值问题支持的特征函数展开式，利用广义积分变换技术（GITT）得到了该问题的解，实现速度快，操作简单。提出了一种数值稳定的特征问题公式，保证了鲁棒收敛性和特征函数的准确性。在状态空间框架中提出的混合解决方案在阻尼和无阻尼固有频率下进行了实验验证，并通过时变自由和强制横向挠度进行了数值验证。通过四项研究提出了物理分析：(i)前两个复特征值的参数映射，突出粘弹性阻尼和粘性阻尼，尖端质量大小和偏心的不同模态作用；（ii）端部质量偏心和内部阻尼对自由和受迫振动的综合影响；（iii）尖端质量阻尼和粘弹性阻尼对自由和强制振动的影响；（iv）考虑粘弹性阻尼和粘性阻尼的频响函数（FRF）评估。由此产生的配方提供了快速收敛的解决方案，提供了封闭形式的基动作和频率响应特性。随附的时域和频域结果，以及紧凑的特征值图，提供基准质量参考，澄清阻尼和偏心效应，并支持线性振动的设计，识别和模型评估。

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引用次数: 0

Tonal noise produced by a UAV propeller due to unsteady rotational motion 无人机螺旋桨非定常旋转运动产生的噪声

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-09 DOI: 10.1016/j.jsv.2026.119646

Huachen Zhu , Ryan Mckay , Michael Kingan , Xianghao Kong , Jin Xuan Teh , Yusuke Hioka , Gian Schmid

A number of recent studies have shown that unsteady rotational motion of small unmanned aerial vehicle propellers can produce tonal noise. In this paper, time- and frequency-domain methods for calculating this noise are presented and validated against one-another. The unsteady loading on the propeller blades, required for the predictions, is calculated using both blade element momentum theory and computational fluid dynamics simulations. The noise prediction methods are validated against measurements. The propeller unsteady motion during these experiments was measured using a rotary encoder and this measured rotational motion was used as input to the noise prediction methods. The results presented in this paper focus on a case where the electric motor drives the propeller in unsteady rotational motion where the unsteady motion is almost sinusoidal with a frequency equal to 14 times the shaft rotation frequency. Predictions show that this unsteady rotational motion produces high amplitude tones at the frequency of the dominant fluctuation speed and adjacent harmonics of the blade passing frequency — confirming the findings of a previous study. These predictions are shown to be in generally good agreement with measurements. In addition, the polar and azimuthal directivity of this tonal noise is investigated.

近年来的一些研究表明，小型无人机螺旋桨的非定常旋转运动可以产生音调噪声。本文提出了时域和频域计算噪声的方法，并对它们进行了对比验证。利用叶片单元动量理论和计算流体力学模拟计算了预测所需的螺旋桨叶片非定常载荷。通过实测验证了噪声预测方法的有效性。实验过程中螺旋桨的非定常运动采用旋转编码器测量，并将测量到的旋转运动作为噪声预测方法的输入。本文的研究结果集中在电机驱动螺旋桨进行非定常旋转运动的情况下，非定常运动几乎是正弦的，频率等于轴旋转频率的14倍。预测表明，这种非定常旋转运动在主导波动速度的频率和叶片通过频率的相邻谐波上产生高振幅音调，证实了先前研究的发现。这些预测大体上与测量结果一致。此外，还研究了该噪声的极向性和方位指向性。

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引用次数: 0

Generalized sensor-to-sensor transmissibility operators: Theory, identification, and applications in soft sensing and modal estimation 广义传感器间传递算子：理论、辨识及在软测量和模态估计中的应用

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-09 DOI: 10.1016/j.jsv.2026.119643

Khaled F. Aljanaideh , Isam Al-Darabsah , Mohammad Al Janaideh

Sensor-to-sensor transmissibility operators are mathematical objects that relate two subsets of system outputs. A transmissibility operator can be used along with one subset of outputs to predict the other subset of outputs of the underlying system without knowledge of a model of the underlying system or the excitation signal acting on it. Transmissibility operators have been used in applications including fault detection, virtual sensing, state estimation, and system identification. Standard transmissibility formulations assume that the number of transmissibility inputs equals the dimension of the excitation signal acting on the underlying system. However, since transmissibilities operate in environments with unknown inputs, estimating the dimension of the excitation signal can be challenging. Moreover, numerical evidence from previous research shows that the predicted outputs obtained using transmissibility operators become more accurate as the number of transmissibility inputs increases. In this paper, we introduce a more general mathematical representation of transmissibility operators that allows the number of transmissibility inputs to exceed the excitation dimension, hence the term generalized transmissibility operators. We further show that the determinant of the difference between two generalized transmissibility operators constructed between the same outputs but under different input locations can be used to determine the poles of the underlying system, outperforming existing time- and frequency-domain transmissibility-based modal estimation techniques. The framework is validated through numerical pole estimation of a mechanical structure and experimental soft sensing of an acoustic system, demonstrating improved accuracy and robustness over existing approaches.

传感器到传感器的传递率算子是与系统输出的两个子集相关的数学对象。可将传递算子与输出的一个子集一起使用，以预测基础系统的输出的另一个子集，而无需知道基础系统的模型或作用于其上的激励信号。传递算子已被应用于故障检测、虚拟感知、状态估计和系统识别等领域。标准透射率公式假定透射率输入的数量等于作用于底层系统的激励信号的维数。然而，由于传输率在未知输入的环境中运行，因此估计激励信号的尺寸可能具有挑战性。此外，以往研究的数值证据表明，随着传递率输入数量的增加，使用传递率算子获得的预测输出变得更加准确。在本文中，我们引入了广义传递算子的一种更一般的数学表示，它允许传递输入的数量超过激励维数，因此称为广义传递算子。我们进一步证明，在相同输出但在不同输入位置下构造的两个广义透射率算子之间的差的行列式可用于确定底层系统的极点，优于现有的基于时域和频域透射率的模态估计技术。通过机械结构的数值极点估计和声学系统的实验软测量验证了该框架，证明了比现有方法更高的精度和鲁棒性。

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引用次数: 0

Dynamic modeling and stability assessment of functionally graded graphene platelet-reinforced composite multi-Disk rotors 功能梯度石墨烯片状增强复合材料多盘转子的动态建模与稳定性评价

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-09 DOI: 10.1016/j.jsv.2026.119654

Devavrit Maharshi , Michael I. Friswell , Barun Pratiher

The demand for lightweight, high-strength rotors with reliable vibration stability is rapidly increasing across aerospace, automotive, turbomachinery, and energy systems. Functionally graded graphene platelet-reinforced composites (FG-GPLRCs) offer a promising solution by enabling tailored stiffness and damping, achieving both weight reduction and enhanced dynamic performance. This study presents a novel analysis of the nonlinear dynamics of axially restrained FG-GPLRC multi-disk shafts under imbalance excitation, explicitly accounting for large-deflection behavior and multi-disk imbalance. The governing equations of the composite shaft-disk system are first derived and reduced using a fundamental-mode Galerkin approximation. The resulting reduced-order model is then analyzed via the method of multiple scales to obtain analytical expressions for the natural frequencies, which are subsequently validated through finite element simulations in ANSYS, confirming predictive accuracy. The investigation systematically examines how four reinforcement patterns, graphene platelet weight fraction, number of layers, and geometric ratios influence the vibration behavior and stability of the system. Results indicate that increasing the graphene platelet content from 0% to 2.5% substantially enhances performance, with natural frequencies rising by 170%-270% and critical damping by nearly 300%, while simultaneously reducing critical eccentricity and jump-down length by 80% and 8%, respectively. The reinforcement pattern and the number of graphene layers further shift frequencies by up to 37%, modify critical damping by 25%, affect jump-down length by 18%, and alter critical eccentricity by up to 30%. Overall, the findings highlight the potential of FG-GPLRC shafts for stable jump-free operation and the reliable design of high-speed rotor systems.

航空航天、汽车、涡轮机械和能源系统对具有可靠振动稳定性的轻质、高强度转子的需求正在迅速增加。功能梯度石墨烯片状增强复合材料（fg - gplrc）提供了一种很有前途的解决方案，可以实现定制的刚度和阻尼，既减轻了重量，又增强了动态性能。本文对轴向约束FG-GPLRC多盘轴在不平衡激励下的非线性动力学进行了新颖的分析，明确地考虑了大挠度行为和多盘不平衡。首先推导了复合轴盘系统的控制方程，并用基模伽辽金近似进行了约简。将得到的降阶模型通过多尺度方法进行分析，得到固有频率的解析表达式，并在ANSYS中进行有限元仿真验证，验证了预测的准确性。该研究系统地研究了四种增强模式、石墨烯血小板重量分数、层数和几何比例如何影响系统的振动行为和稳定性。结果表明，将石墨烯血小板含量从0%增加到2.5%可以显著提高性能，其固有频率提高170% ~ 270%，临界阻尼提高近300%，同时临界偏心率和跳降长度分别降低80%和8%。增强模式和石墨烯层的数量进一步使频率偏移高达37%，改变临界阻尼25%，影响跳降长度18%，改变临界偏心率高达30%。总的来说，这些发现突出了FG-GPLRC轴在稳定无跳变运行和高速转子系统可靠设计方面的潜力。

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引用次数: 0

A reduced order modeling strategy for nonlinear elasto-dynamic systems with cyclic symmetry in rolling contact 滚动接触循环对称非线性弹性动力系统的降阶建模策略

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-08 DOI: 10.1016/j.jsv.2026.119645

Lukas Bürger , Régis Boukadia , Frank Naets

Rolling contact is frequently modeled for simulating engineering systems (e.g. tires or bearings). When accounting for geometric and material nonlinearity, model order reduction (MOR) becomes essential to reduce the computational costs of dynamic simulations. Addressing nonlinear systems with distributed nonlinearities in combination with large areas of rough surface contact and a dynamically changing active set presents a challenge for state-of-the-art MOR methods. Therefore, a tailored a-priori MOR approach to address large deformation rolling contact for cyclically symmetric systems is presented.

We propose a novel two-step, projection-based nonlinear MOR for rolling contact. In the first step, the reduction basis based on the Multi Expansion Modal method is transformed to a Generalized Component Mode Synthesis framework to achieve rotational invariance of the basis. To capture the nonlinear variations due to rotation and the resulting change of the active contact area, an interpolation approach is employed to adjust the basis accordingly. In the second step, the Energy Conserving Sampling and Weighting hyper reduction parameters are also adapted through interpolation.

The proposed method is validated for the case of a Grosch wheel rotating on a smooth surface and a tire rotating on a rough road. In both cases, the reduced-order model accurately replicates the full-order model’s dynamic behavior. While the speedup is limited in the Grosch wheel case, significant speedup is achieved for a nonlinear tire model with a maximum speedup factor of 20.

滚动接触经常用于模拟工程系统（如轮胎或轴承）。当考虑几何和材料非线性时，模型降阶（MOR）对于降低动态仿真的计算成本至关重要。求解具有大面积粗糙表面接触和动态变化的活动集的分布非线性非线性系统是目前最先进的MOR方法面临的挑战。因此，提出了一种针对循环对称系统大变形滚动接触的定制先验MOR方法。提出了一种新的基于投影的两步非线性滚动接触MOR算法。首先，将基于多展开式模态方法的约简基转化为广义模态综合框架，实现基的旋转不变性；为了捕捉由于旋转引起的非线性变化和由此引起的主动接触面积的变化，采用插值方法对基进行相应的调整。第二步，通过插值调整节能采样和加权超约化参数。针对格罗施车轮在光滑路面上的旋转和轮胎在粗糙路面上的旋转进行了验证。在这两种情况下，降阶模型都精确地复制了全阶模型的动态行为。而加速是有限的，在格罗施车轮情况下，显著加速实现了非线性轮胎模型的最大加速系数为20。

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引用次数: 0