Journal of Sound and Vibration最新文献_第7页

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

Journal of Sound and Vibration

Pub 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

Broadband vibration reduction through combined linear-nonlinear oscillators in a meta-plate 通过在中间板中组合线性-非线性振荡器的宽频带减振

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-16 DOI: 10.1016/j.jsv.2025.119614

Chen Gong , Xin Fang , Hangxing Li , Zhiyuan Li , Li Cheng

Nonlinear acoustic meta-materials/structures (NAMs) hold great promise for ultra-low and ultra-broadband vibration suppression through chaotic band mechanisms, but at the expense of compromising the original bandgap benefits. To concurrently harness the benefits arising from both bandgaps and chaotic passbands, we propose a dedicated design paradigm in which both linear and nonlinear oscillators are integrated in meta-plates. Harmonic balance method and time-domain integration are utilized to compute the system responses and evaluate the performances of two types of meta-plates. Type I design leverages the complementary benefits of linear acoustic meta-materials/structures (LAMs) and NAMs. The design entails the stability of the bandgap, in which additional 17 dB improvement is achieved over traditional NAMs, while maintaining a stable chaotic band. Type II extends the Type I design, elucidating the influence of nonlinearity location, linear stiffness and damping. Based on the insights gained, broadband vibration suppression has seen a significant extension into the lower frequency range, along with a notable improvement in vibration suppression effectiveness. Our concept is demonstrated experimentally on a meta-plate consisting of linear and vibro-impact nonlinear oscillators. The study alludes to a new route for designing high-performance meta-structures in views of structural vibration control.

非线性声学元材料/结构（NAMs）通过混沌带机制抑制超低和超宽带振动，但以牺牲原有带隙优势为代价。为了同时利用带隙和混沌通带带来的好处，我们提出了一个专门的设计范例，其中线性和非线性振荡器都集成在元板中。利用谐波平衡法和时域积分法计算了两种元板的系统响应，并对其性能进行了评价。I型设计利用线性声学超材料/结构（lam）和NAMs的互补优势。该设计需要稳定的带隙，在保持稳定的混沌带的同时，比传统的NAMs实现了额外17 dB的改进。II型扩展了I型设计，阐明了非线性位置、线性刚度和阻尼的影响。基于所获得的见解，宽带振动抑制已经显著扩展到较低的频率范围，同时振动抑制效果也得到了显着改善。我们的概念在由线性和振动冲击非线性振荡器组成的元板上得到了实验证明。从结构振动控制的角度出发，为设计高性能元结构提供了一条新的途径。

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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

Journal of Sound and Vibration

Pub 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

Stress-controlled magnetoacoustic conversion efficiency of SH waves: Theoretical analysis and experimental validation 应力控制的SH波磁声转换效率：理论分析与实验验证

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-14 DOI: 10.1016/j.jsv.2025.119613

Wenbo Cao , Bin Wu , Ren Liu , Xiang Gao , Xiucheng Liu

The magnetostrictive effect is an intrinsic property of ferromagnetic materials and physically allows the generation of multimodal ultrasonic guided waves. Among ultrasonic guided waves, Shear Horizontal (SH) waves are the advantageous carrier for ultrasonic nondestructive testing due to their mode purity. However, the influence of stress on the Magnetoacoustic Conversion Efficiency (MCE) is not considered in the conventional SH wave excitation theory, so it fails to reveal the intermodulation mechanism of axial stress and magnetoacoustic coupling effect. In this paper, the nonlinear modulation of magnetostrictive SH wave amplitude by the stress in the elastic interval was quantified by establishing a force-magnetic-acoustic multi-field coupling model. Theoretical analysis and experimental results revealed the high stress sensitivity of MCE curve. Under a low magnetic field intensity, with the increase in stress, the normalized amplitude of SH waves decreased firstly and then increased. Under a high magnetic field intensity, the amplitude of SH waves exhibited a monotonically increasing behavior. The proposed model successfully decoupled the dynamic interaction between stress and magnetostrictive SH waves, thus offering a theoretical framework for stress detection based on the magnetostrictive effect.

磁致伸缩效应是铁磁材料的固有特性，在物理上允许多模态超声导波的产生。在超声导波中，剪切水平波因其模式纯度高而成为超声无损检测的有利载体。然而，传统的SH波激励理论没有考虑应力对磁声转换效率的影响，未能揭示轴向应力与磁声耦合效应的互调机制。本文通过建立力-磁-声多场耦合模型，量化了弹性区间应力对磁致伸缩SH波振幅的非线性调制。理论分析和实验结果表明，MCE曲线具有较高的应力敏感性。在低磁场强度下，随着应力的增大，SH波的归一化振幅先减小后增大。在高磁场强度下，SH波振幅呈现单调递增的特征。该模型成功地解耦了应力与磁致伸缩SH波之间的动态相互作用，从而为基于磁致伸缩效应的应力检测提供了理论框架。

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引用次数: 0

Revealing the acoustic wave behaviour of lithium-ion batteries with a binder-connected poromechanical model 用粘合剂连接的孔隙力学模型揭示锂离子电池的声波行为

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-13 DOI: 10.1016/j.jsv.2025.119612

Wuke Xu, Zhengyu Wei, Fan Shi

Ultrasonic non-destructive evaluation (NDE) of lithium-ion batteries (LIBs) has attracted increasing attention, yet the underlying wave propagation in porous, fluid-saturated electrodes remains insufficiently understood for accurate diagnostics. In this work, we develop the Binder-Spring-Biot (BSB) theory as an analytical model for ultrasonic wave propagation in LIB electrodes, a representative multiphase porous medium. By explicitly incorporating binder-mediated particle contacts into a spring–mass framework, the theory addresses the limitations of homogenized approaches such as Biot’s poroelasticity and slurry-based models. It predicts two distinct compressional modes whose velocities are governed by binder stiffness, thereby establishing a mechanistic link between microscale connectivity and measurable acoustic response. The theoretical predictions are rigorously validated through experiments across diverse electrode chemistries and architectures, showing strong agreement with measured wave velocities. Notably, the framework enables the clear experimental observation of the slow compressional wave in porous, fluid-saturated composites—a complex wave phenomenon. Together, these findings establish the BSB theory as a robust acoustics-based foundation for interpreting ultrasonic measurements in LIB electrodes and advance non-destructive methodologies for probing the internal state of batteries.

锂离子电池（LIBs）的超声无损检测（NDE）越来越受到人们的关注，但对于多孔、流体饱和电极中潜在波的传播，人们仍然缺乏足够的了解，无法进行准确的诊断。在这项工作中，我们建立了Binder-Spring-Biot （BSB）理论作为超声波在具有代表性的多相多孔介质LIB电极中的传播的分析模型。通过明确地将粘合剂介导的颗粒接触纳入弹簧-质量框架，该理论解决了均匀化方法（如Biot的孔隙弹性和基于浆料的模型）的局限性。它预测了两种不同的压缩模式，其速度由粘结剂刚度决定，从而在微尺度连接和可测量的声学响应之间建立了机制联系。通过不同电极化学和结构的实验严格验证了理论预测，显示出与测量波速的强烈一致性。值得注意的是，该框架能够清晰地实验观察多孔、流体饱和复合材料中的慢纵波——一种复杂的波现象。总之，这些发现为BSB理论奠定了坚实的声学基础，用于解释锂离子电池电极的超声波测量结果，并推进了探测电池内部状态的非破坏性方法。

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引用次数: 0

Numerical mode matching (NMM) method for efficient simulation of elastic/acoustic waves in multilayered heterogeneous structures 数值模式匹配（NMM）方法在多层非均质结构中有效模拟弹性/声波

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-12 DOI: 10.1016/j.jsv.2025.119608

An Qi Ge , Jie Liu , Mingwei Zhuang , Qing Huo Liu

Metasurfaces, a common type of vertically multilayered heterogeneous structure, effectively modulate elastic wave propagation by controlling its phase and magnitude. Simulation of the relationship between geometric design parameters and wave phase is crucial for elastic metasurface design, but it typically demands large-scale parametric sweeps in 3D numerical simulations, leading to high computational costs. To accelerate the computation, this work proposes a general Numerical Mode Matching (NMM) method for elastic/acoustic wave propagation in vertically multilayered heterogeneous structures. The method decomposes a complex 3D problem into a series of 2D inhomogeneous waveguide eigenvalue problems, solved using the spectral element method (SEM), and a 1D layered medium problem solved analytically using a recursive procedure. The formulation ensures the continuity of displacement and traction at layer interfaces, incorporating solid-fluid coupling with linear-slip boundary conditions. The efficiency and accuracy of the proposed NMM method are demonstrated through several numerical examples. Additionally, a 3D metasurface based on a solid-fluid coupled multilayered resonant unit cell is designed using the NMM method, showcasing its capability to enable functionalities such as wave steering and focusing. The results indicate that the proposed method significantly reduces computational costs while maintaining high accuracy, making it a powerful tool for simulating elastic waves in multilayered heterogeneous structures, particularly in metasurface design.

超表面是一种常见的垂直多层非均质结构，它通过控制弹性波的相位和幅度来有效地调制弹性波的传播。几何设计参数与波相关系的模拟对于弹性超表面设计至关重要，但在三维数值模拟中通常需要大规模的参数扫描，导致计算成本很高。为了加快计算速度，本文提出了一种用于弹性/声波在垂直多层非均质结构中传播的通用数值模式匹配（NMM）方法。该方法将复杂的三维问题分解为一系列二维非均匀波导特征值问题，用谱元法（SEM）求解，用递归方法解析求解一维层状介质问题。该公式考虑了固流耦合和线性滑移边界条件，保证了层间界面位移和摩擦力的连续性。通过数值算例验证了该方法的有效性和准确性。此外，采用NMM方法设计了基于固流耦合多层谐振单元电池的三维超表面，展示了其实现波转向和聚焦等功能的能力。结果表明，该方法在保持较高精度的同时显著降低了计算成本，是模拟多层非均质结构中弹性波的有力工具，特别是在超表面设计中。

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引用次数: 0

Inverse bandgap design and vibration response control of periodically supported pipeline 周期支撑管道逆带隙设计与振动响应控制

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-12 DOI: 10.1016/j.jsv.2025.119611

Lin Zhang , Tao Zhang , Huajiang Ouyang , Tianyun Li , Haotian Chen

Periodically supported pipelines typically have distinct bandgap properties, which have been exploited to suppress the excessive or unwanted vibration of fluid-filled pipeline systems. However, a mismatch between a pipeline system’s bandgap and the excitation frequency could lead to poor vibration control of well-designed bandgaps. Hence, this paper proposes a new inverse design method for the bandgap of a fluid-filled pipeline system with periodic elastic supports. In this method, the unit cell of the pipeline system is no longer a typical single-span pipe segment but is redefined to be a multi-span pipe segment, and the bandgap redesign of the pipeline system is recast as a stiffness modification problem for the elastic supports. Optimal stiffness modifications are directly obtained by maximizing the vibration amplitude attenuation at discrete excitation frequencies, which can be determined using the receptance method. A major advantage of the proposed method is that only the geometry and material parameters of the pipeline system are required to be known, neither needing to establish its numerical model with fine finite element meshes or involving time-consuming sample calculations. The effectiveness of the proposed method is demonstrated on the numerical model and experimental setup of a periodically supported pipeline system. This study is the first attempt to control the vibration amplitudes of an industrial pipeline at two excitation frequencies by simultaneously realizing two desired bandgaps.

周期性支撑管道通常具有独特的带隙特性，可用于抑制充液管道系统的过度或不必要的振动。然而，管道系统的带隙与激励频率之间的不匹配可能导致设计良好的带隙的振动控制不佳。为此，本文提出了一种具有周期弹性支承的充液管道系统带隙反设计方法。该方法将管道系统的单元胞不再是典型的单跨管段，而是重新定义为多跨管段，并将管道系统的带隙重新设计转化为弹性支承的刚度修正问题。在离散激励频率下，通过最大化振动幅值衰减直接获得最优的刚度修正，这可以用接收法确定。该方法的一个主要优点是只需要知道管道系统的几何和材料参数，既不需要用精细的有限元网格建立其数值模型，也不需要耗时的样本计算。通过周期支撑管道系统的数值模型和实验验证了该方法的有效性。本研究首次尝试通过同时实现两个期望的带隙来控制工业管道在两个激励频率下的振动幅值。

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引用次数: 0

EMetaNode: Electromechanical friction-induced metamaterial node for broadband vibration attenuation and self-powered sensing EMetaNode：用于宽带振动衰减和自供电传感的机电摩擦感应超材料节点

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-11 DOI: 10.1016/j.jsv.2025.119609

Bao Zhao , Lorenzo Di Manici , Raffaele Ardito , Eleni Chatzi , Andrea Colombi , Songye Zhu

Recent advances in mechanical metamaterials and piezoelectric energy harvesting provide exciting opportunities for directing and converting mechanical energy in electromechanical systems for autonomous sensing and vibration control. However, practical realizations remain rare due to the lack of advanced modeling methods and persistent interdisciplinary barriers. By integrating mechanical metamaterials with power electronics-based interface circuits, this paper achieves a breakthrough by presenting an electromechanical friction-induced metamaterial node, which simultaneously enables self-powered sensing and broadband vibration attenuation. To support this, we introduce a reduced-order modeling framework combined with a numerical harmonic balance method tailored for nonlinear metamaterials. This approach efficiently captures local nonlinearities arising from electromechanical coupling through interface circuits, substantially improving computational efficiency. A key innovation of this work is that it uncovers the role of electromechanical friction, induced by synchronized switching interface circuits, which facilitates energy harvesting and enhanced nonlinear dynamic behavior–manifested through expanded bandgaps and higher-harmonic vibration attenuation. Experimentally, an electromechanical metamaterial node is realized for self-powered sensing of temperature and acceleration data, demonstrating strong potential for structural health monitoring and Internet of Things applications. This study provides a practical pathway toward digitizing structures and systems by uniting smart interface circuitry with mechanical metamaterials to achieve autonomous, energy-aware sensing and control.

机械超材料和压电能量收集的最新进展为在机电系统中引导和转换机械能以实现自主传感和振动控制提供了令人兴奋的机会。然而，由于缺乏先进的建模方法和持续的跨学科障碍，实际实现仍然很少。本文通过将机械超材料与基于电力电子的接口电路相结合，实现了机电摩擦感应超材料节点的突破，同时实现了自供电传感和宽带振动衰减。为了支持这一点，我们引入了一种结合非线性超材料的数值调和平衡方法的降阶建模框架。该方法通过接口电路有效捕获机电耦合引起的局部非线性，大大提高了计算效率。这项工作的一个关键创新是，它揭示了由同步开关接口电路引起的机电摩擦的作用，这有助于能量收集和增强非线性动态行为-通过扩大带隙和高谐波振动衰减表现出来。实验中，实现了一个机电超材料节点，用于温度和加速度数据的自供电传感，显示了结构健康监测和物联网应用的强大潜力。本研究通过将智能接口电路与机械超材料结合起来，实现自主的、能量感知的传感和控制，为数字化结构和系统提供了一条实用的途径。

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引用次数: 0

Different modeling methodologies for rotor-system on ball bearing cartridge with squeeze film damper 含挤压膜阻尼器球轴承插装转子系统的不同建模方法

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-11 DOI: 10.1016/j.jsv.2025.119606

Faisal Sadaat, Charles Nutakor, Jussi Sopanen

Ball bearing-squeeze film damper (BB-SFD) cartridges are increasingly employed in high-speed rotating machinery, such as automotive turbochargers and gas turbines, due to their ability to reduce friction and enhance rotordynamic stability. Despite their growing use, accurately modeling the dynamic behavior of these systems remains challenging. This is primarily due to the nonlinear characteristics of oil film forces and the complex interaction between the bearing components particularly the outer race and the squeeze film lands. This study presents four distinct modeling approaches for the BB-SFD cartridge: single-mass, two-mass, beam-element, and rigid-body formulations. The squeeze film damper is represented using an open-ended short-bearing configuration, with oil film forces computed based on the motion of the outer race. It is observed that gravitational effects cause the outer race to become off-centered, resulting in nonlinear dynamic behavior that significantly influences system response. An automotive turbocharger is used as a case study to evaluate the performance of each modeling approach. Experimental modal analysis and dynamic testing are used to verify the simulation model. The two-mass formulation offers a favorable balance between computational efficiency and accuracy among the models considered. The rigid-body model provides a generalized framework that can be extended to other bearing configurations, including journal bearings and rigid supports. By addressing limitations in existing models and incorporating outer race dynamics, this work contributes to the development of more reliable and efficient simulation tools for high-speed rotor-bearing systems.

由于球轴承-挤压膜阻尼器（BB-SFD）能够减少摩擦并提高转子动态稳定性，因此越来越多地应用于高速旋转机械，如汽车涡轮增压器和燃气轮机。尽管它们的应用越来越广泛，但准确建模这些系统的动态行为仍然具有挑战性。这主要是由于油膜力的非线性特性和轴承部件之间复杂的相互作用，特别是外圈和挤压膜地。本研究提出了BB-SFD药筒的四种不同的建模方法：单质量、双质量、梁单元和刚体配方。挤压膜阻尼器使用开放式短轴承结构表示，油膜力根据外圈的运动计算。我们观察到，重力效应会使外圈偏离中心，从而导致非线性动力学行为，显著影响系统响应。以汽车涡轮增压器为例，对每种建模方法的性能进行了评价。采用实验模态分析和动态试验对仿真模型进行了验证。双质量公式在所考虑的模型之间提供了计算效率和精度之间的良好平衡。刚体模型提供了一个广义的框架，可以扩展到其他轴承配置，包括轴颈轴承和刚性支撑。通过解决现有模型的局限性，并结合外圈动力学，这项工作有助于开发更可靠、更有效的高速转子轴承系统仿真工具。

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引用次数: 0

Register jumps on the clarinet: numerical and in-vitro investigation into basins of attraction and phase-tipping 单簧管上的音域跳跃：吸引力和相位倾斜盆地的数值和体外研究

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-09 DOI: 10.1016/j.jsv.2025.119579

Nathan Szwarcberg , Tom Colinot , Christophe Vergez , Michaël Jousserand , Léonie Maignan , Anthia Patsinakidou , Giordano Gatti , Hrant Arzumanyan , Pedro Faria Oliveira Morais

When playing the clarinet, opening the register hole allows for a transition from the first to the second register, producing a twelfth interval. On an artificial player system, the blowing pressure range where the second register remains stable can be determined by gradually varying the blowing pressure while keeping the register hole open. However, when the register hole is opened while the instrument is already producing the first register, the range of blowing pressures that lead to a stable second register is narrower than the full stability zone of the second register. This phenomenon is investigated numerically by performing multiple hole openings at different times, for various values of the blowing pressure and the embouchure parameter. In some narrow regions of the control parameters space, the success of a register transition depends on the phase at which the hole is opened. This illustrates an instance of phase-tipping, where the limit cycle of the closed-hole regime may intersect multiple basins of attraction associated with the open-hole regimes. Furthermore, to assess the robustness of the basins of attraction, random noise is introduced to the control parameters before the register hole is opened. Results indicate that the equilibrium regime is more robust to noise than the other oscillating regimes. Finally, long-lasting transient quasiperiodics are investigated. The phase at which the hole is opened influences both the transient duration and the resulting stable regime.

当演奏单簧管时，打开音域孔允许从第一音域过渡到第二音域，产生第十二音程。在人工唱机系统上，第二唱机保持稳定的吹风压力范围可以通过在保持唱机孔打开的情况下逐渐改变吹风压力来确定。然而，当仪器已经产生第一寄存器时打开寄存器孔时，导致稳定的第二寄存器的吹压范围比第二寄存器的完全稳定区域窄。在不同的吹风压力和喷口参数下，在不同的时间进行多次开孔，对这一现象进行了数值研究。在控制参数空间的某些狭窄区域，寄存器跃迁的成功取决于开孔的相位。这说明了相倾的一个例子，其中闭孔状态的极限环可能与与裸眼状态相关的多个吸引力盆地相交。此外，为了评估吸引盆地的鲁棒性，在打开登记孔之前将随机噪声引入控制参数。结果表明，该平衡区对噪声的鲁棒性优于其他振荡区。最后，研究了长时间瞬态准周期。开孔时的相位既影响瞬态持续时间，也影响由此产生的稳定状态。

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引用次数: 0