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Resonant peak reduction of a rotor system based on gradually variable stiffness of supports with shape memory alloy springs 利用形状记忆合金弹簧渐变支架刚度降低转子系统的共振峰值
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-17 DOI: 10.1016/j.jsv.2024.118626

A novel method for reducing the resonant peak of a flexible rotor at critical speeds based on control of the gradual variable stiffness of supports (GVSS) using shape memory alloy (SMA) springs is presented in this paper. The resonance peaks of a rotor structure can be attenuated through the design of GVSS law. Firstly, the impact of GVSS on the rotor's critical speeds was analyzed, and the mechanical mechanism of vibration reduction based on GVSS was identified. Secondly, a rotor system with a single critical speed was used for simulation analysis and it was founded that the starting time to change support stiffness and the change rate were two critical factors that affect vibration reduction. Then, a further simulation was undertaken on a test rig designed with dynamic similarity of an aeroengine rotor having multiple supports and multiple critical speeds. The range of the variable stiffness with SMA springs’ supports and the control strategy of GVSS were investigated. Afterwards, the test rig was manufactured and assembled for testing and validation. To achieve rapid temperature changes for variation of the support stiffness, an innovative design utilizing the carbon fiber heating tubes and the liquid nitrogen sprays for heating and cooling of shape memory alloy springs was carried out. The test results indicate that using gradually variable stiffness of supports with SMA Springs can effectively reduce the multiple resonance peaks of a rotor, with a maximum suppression rate of 52.3 %. This verifies the feasibility of the method. It also indicates the potential for further engineering applications.

本文介绍了一种基于利用形状记忆合金(SMA)弹簧控制支架渐变刚度(GVSS)的新方法,用于降低柔性转子在临界速度下的共振峰值。转子结构的共振峰可以通过 GVSS 法则的设计来减弱。首先,分析了 GVSS 对转子临界转速的影响,并确定了基于 GVSS 的减振机械机制。其次,利用单临界转速转子系统进行仿真分析,发现改变支撑刚度的起始时间和变化率是影响减振的两个关键因素。然后,又在一个与具有多个支撑和多个临界转速的航空发动机转子动态相似的试验台架上进行了进一步的模拟。研究了 SMA 弹簧支撑的可变刚度范围和 GVSS 的控制策略。随后,制造并组装了试验台架,用于测试和验证。为了实现支撑刚度变化的快速温度变化,采用了一种创新设计,利用碳纤维加热管和液氮喷雾器对形状记忆合金弹簧进行加热和冷却。测试结果表明,利用 SMA 弹簧逐渐改变支架刚度可有效降低转子的多个共振峰,最大抑制率为 52.3%。这验证了该方法的可行性。这也表明该方法具有进一步工程应用的潜力。
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引用次数: 0
Deformable-boundary integral formulation for the solution of arbitrarily-forced acoustic wave equation 求解任意强迫声波方程的可变形边界积分公式
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-14 DOI: 10.1016/j.jsv.2024.118618

The propagation of perturbations in fluids is governed by an acoustic wave equation. This paper, first, introduces an arbitrarily-forced wave equation which, properly adapted, gives rise to equations describing specific phenomena of signal perturbation propagation in fluids (like, for instance, the Lighthill and Ffowcs-Williams and Hawkings equations for radiation and scattering). Then, its solution is determined through a novel boundary integral formulation based on the free-space Green function, which is applicable to fluid domains bounded by solid or porous deformable surfaces. Different versions of the proposed boundary integral formulation can be derived, depending on the frame of reference in which they are expressed. The numerical investigation begins with the comparison of the results obtained by the presented formulation against analytical solutions concerning both a pulsating solid sphere and a deformable porous surface that encloses pulsating sources. Then, the equivalence of the formulations expressed in different frames is examined for a bending and twisting non-lifting wing translating at different Mach numbers. Finally, the aeroacoustic field generated by a helicopter rotor model in forward flight is examined to assess the effect of the body deformation on the radiated noise and the accuracy of the numerical simulations by comparison with experimental data. The results of the numerical investigation have provided a comprehensive validation of the deformable-boundary integral formulation presented for the analysis of wave propagation in fluids, and confirmed its capability to study problems of engineering interest.

扰动在流体中的传播受声波方程支配。本文首先介绍了一个任意强迫波方程,经过适当调整后,该方程可用于描述信号扰动在流体中传播的特定现象(例如,用于辐射和散射的 Lighthill 和 Ffowcs-Williams 以及 Hawkings 方程)。然后,通过基于自由空间格林函数的新型边界积分公式确定其解法,该公式适用于以固体或多孔可变形表面为边界的流体域。根据不同的参照系,可以推导出不同版本的边界积分公式。数值研究首先将提出的公式与有关脉动固体球体和包围脉动源的可变形多孔表面的分析解进行比较。然后,针对在不同马赫数下平移的弯曲和扭转非升力机翼,研究了在不同框架下表达的公式的等效性。最后,研究了直升机旋翼模型在向前飞行时产生的气声场,通过与实验数据的对比,评估了机体变形对辐射噪声的影响以及数值模拟的准确性。数值研究的结果全面验证了为分析流体中波传播而提出的可变形边界积分公式,并证实了其研究工程问题的能力。
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引用次数: 0
Stochastic force identification for uncertain structures based on matrix equilibration and improved Tikhonov regularization method 基于矩阵均衡和改进型 Tikhonov 正则化方法的不确定结构的随机力识别
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-14 DOI: 10.1016/j.jsv.2024.118630

Accurate identification and estimation of stochastic forces applied to in-service engineering structures play a vital role in structural safety assessments. This study devised an effective force power spectral density (PSD) identification method to address the challenge of identifying multipoint stationary stochastic forces in uncertain structures. Initially, a probability model was employed to characterize structural uncertainties. Subsequently, an integral relationship was established between the probability density function (PDF) of the random structural parameters and that of the stochastic force PSD. By employing a point-selection technique based on the generalized F-discrepancy and a smoothing method, the uncertainty problem was transformed into a finite number of stochastic force PSD identification problems for deterministic structures. Simultaneously, based on the inverse pseudo-excitation method, a matrix equilibration approach and an improved Tikhonov regularization method were used to address the problem of large identification errors near structural natural frequencies. In comparison to the traditional weighting matrix method, the proposed method further reduces the condition number of frequency response function matrices, thereby enhancing the accuracy of force PSD identification. Finally, numerical examples were presented to validate the effectiveness of the proposed method in solving the stochastic force identification problem.

准确识别和估算应用于在役工程结构的随机力在结构安全评估中起着至关重要的作用。本研究设计了一种有效的力功率谱密度(PSD)识别方法,以应对识别不确定结构中多点静态随机力的挑战。首先,采用概率模型来描述结构的不确定性。随后,在随机结构参数的概率密度函数(PDF)和随机力 PSD 的概率密度函数之间建立了积分关系。通过采用基于广义 F-差异的点选择技术和平滑方法,不确定性问题被转化为确定性结构的有限数量随机力 PSD 识别问题。同时,基于反伪激励法,使用矩阵均衡方法和改进的 Tikhonov 正则化方法解决了结构固有频率附近较大的识别误差问题。与传统的加权矩阵法相比,所提出的方法进一步减少了频率响应函数矩阵的条件数,从而提高了力 PSD 识别的精度。最后,通过数值实例验证了所提方法在解决随机力识别问题中的有效性。
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引用次数: 0
Tunable acoustic metasurface for broadband asymmetric focusing based on Helmholtz resonator 基于亥姆霍兹谐振器的用于宽带非对称聚焦的可调谐声元表面
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-14 DOI: 10.1016/j.jsv.2024.118628

This work presents an innovative type of acoustic metasurface structure based on the Helmholtz resonator in order to generate an acoustic metasurface with multifunctional effects, such as configurable asymmetrical focusing. With the aim to accomplish a flexible regulation of the complete phase of the sound waves, a new cell structure is constructed by incorporating the Helmholtz resonator height gradient change, resulting in the multifunctional design of an acoustic metasurface via simulation. The metasurface structure parameters, which include the aperture width and the Helmholtz cavity width, are adjusted to attain improved sound focusing and a higher transmission rate. According to the results, the metasurface has an asymmetric focusing influence on a greater frequency range of 2845∼3620 Hz, which is raised by 10.71% compared to the highly uniform symmetric cell structure. The transmission of the cell structure is also higher than 0.96. In the meantime, the sound waves can be actively controlled by adjusting the interlayer spacing and incident angle. This results in a specific adjustable range along the x-axis within 0.22 ∼ 0.87 m and the y-axis within -0.278 ∼ 0.278 m of the focusing location. The outcomes of this investigation may find use in ultrasonic treatment and ultrasonography.

本研究提出了一种基于亥姆霍兹谐振器的创新型声学元表面结构,以产生具有多功能效果的声学元表面,例如可配置的非对称聚焦。为了实现对声波完整相位的灵活调节,通过结合亥姆霍兹谐振器高度梯度变化,构建了一种新的单元结构,并通过模拟实现了声学元表面的多功能设计。通过调整元表面结构参数,包括孔径宽度和亥姆霍兹腔宽度,可实现更好的声音聚焦和更高的传输速率。结果表明,元表面对更大频率范围(2845∼3620 Hz)具有非对称聚焦影响,与高度均匀对称的单元结构相比,提高了 10.71%。细胞结构的透射率也高于 0.96。同时,还可以通过调整层间间距和入射角来主动控制声波。这样,沿 x 轴的具体可调节范围在聚焦位置的 0.22 ∼ 0.87 米内,沿 y 轴的具体可调节范围在 -0.278 ∼ 0.278 米内。这项研究成果可用于超声波治疗和超声波造影。
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引用次数: 0
Modeling method and dynamic analysis of blade with double friction damping structure considering time-varying pressure distribution 考虑时变压力分布的双摩擦阻尼结构叶片建模方法与动态分析
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-14 DOI: 10.1016/j.jsv.2024.118614

A modeling and analytical method considering contact interface pressure characteristics is presented in this paper. Firstly, a high-fidelity model of a blade with a double friction damping structure is established by solid element, and a three-dimensional friction contact element is used to describe the nonlinear friction interface between the blade contact interfaces. Then, the static pressure distribution characteristics of the contact interface of the blade are obtained through the experimental device of the blade with double friction damping structure, and the accuracy of the pressure characteristics is verified. Based on the static pressure distribution, the time-varying dynamic pressure formula of blade contact interface is derived. The influence of the pressure distribution on the contact characteristics of the contact interface is analyzed and applied to the dynamic calculation of the rotating blade. The influence of different parameters on the blade dynamics is obtained. And the optimum mass ratio of the under-platform damper is obtained by simulating the operation condition of the aero engine blade acceleration process.

本文提出了一种考虑接触界面压力特性的建模和分析方法。首先,用实体元建立了双摩擦阻尼结构叶片的高保真模型,并用三维摩擦接触元描述了叶片接触界面间的非线性摩擦界面。然后,通过双摩擦阻尼结构叶片的实验装置获得了叶片接触界面的静压分布特性,并验证了压力特性的准确性。在静压分布的基础上,推导出叶片接触界面的时变动压公式。分析了压力分布对接触界面接触特性的影响,并将其应用于旋转叶片的动态计算。得出了不同参数对叶片动力学的影响。通过模拟航空发动机叶片加速过程的运行条件,得到了平台下减振器的最佳质量比。
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引用次数: 0
Experimental study on the influence of radial internal clearances of the rolling bearings on dynamics of a flexible rotor system 滚动轴承径向内部间隙对柔性转子系统动力学影响的实验研究
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-11 DOI: 10.1016/j.jsv.2024.118625

To investigate the impact of radial internal clearance of rolling bearings on the dynamic response of a flexible rotor system in a turbo-shaft engine, a dynamic similarity model of the power turbine rotor was established. Experimental research was then conducted. Four rolling bearings supporting the rotor were examined, with dynamic response tests carried out under varying radial internal clearances. The influence of the radial internal clearance on the dynamic characteristics of the rotor system was studied using the controlled variable method. The amplitude, orbit, and asynchronous vibration were analyzed through time-domain signal comparison, waterfall diagrams, and spectral analysis. The experimental results demonstrate that: (1) Adjusting the radial internal clearance of the bearings can significantly reduce the dynamic response of the flexible rotor system, with a maximum observed displacement response reduction of 88%. (2) The efficiency of vibration reduction is closely related to the axial location of the bearing. (3) Optimal radial internal clearance is not necessarily achieved at the maximum or minimum values. (4) The "locked-up" frequency phenomenon, which increases the resonance opportunities of the rotor system, can be mitigated by adjusting the radial internal clearance of different bearings. This research is of great significance and engineering value for understanding, diagnosing, and preventing excessive vibration in flexible rotor systems.

为了研究滚动轴承径向内部游隙对涡轮轴发动机柔性转子系统动态响应的影响,建立了动力涡轮转子的动态相似模型。随后进行了实验研究。研究了支撑转子的四个滚动轴承,并在不同径向内部游隙条件下进行了动态响应测试。采用控制变量法研究了径向内部游隙对转子系统动态特性的影响。通过时域信号比较、瀑布图和频谱分析,对振幅、轨道和异步振动进行了分析。实验结果表明(1) 调整轴承的径向内部游隙可显著降低柔性转子系统的动态响应,观察到的最大位移响应降低率为 88%。(2) 减振效率与轴承的轴向位置密切相关。(3) 最佳径向内部游隙不一定达到最大值或最小值。(4) "锁定 "频率现象会增加转子系统的共振机会,可以通过调整不同轴承的径向内部游隙来缓解。这项研究对于理解、诊断和预防挠性转子系统的过度振动具有重要意义和工程价值。
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引用次数: 0
Single domain Chebyshev spectral method for analyses of the vibroacoustic characteristics of baffled irregularly shaped plates 用于分析不规则形状障板振动声学特性的单域切比雪夫频谱法
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-11 DOI: 10.1016/j.jsv.2024.118627

In this study a Chebyshev spectral method is introduced to analyse the vibroacoustic characteristics of plates with arbitrary shape. This approach involves a unique expansion of the governing equations for plate displacements using Chebyshev polynomials, coupled with Gauss-Chebyshev-Lobatto sampling. A significant advancement in computational efficiency is the use of a tensor product configuration. To manage irregular shapes, the elements of the inner product matrix corresponding to the open regions were set to zero. For precise shape representation, a substantial number of Chebyshev-Gauss-Lobatto points, surpassing the polynomial truncation count, are carefully selected. the elastic boundary conditions of the plate were simulated by applying artificial spring techniques at different points. The prediction accuracy of the vibroacoustic phenomena, including those of the mean square velocity and sound power, were rigorously confirmed through comprehensive comparisons with results from previous studies and those obtained using the finite element method. Furthermore, the accuracy and versatility of the method are demonstrated through a variety of numerical examples encompassing plates with geometries shaped like rectangules, triangules, clouds, and pigs geometries, and different boundary conditions.

本研究采用切比雪夫频谱法分析任意形状板材的振动声学特性。这种方法涉及使用切比雪夫多项式对板块位移的控制方程进行独特的展开,并结合高斯-切比雪夫-洛巴图采样。张量乘积配置的使用大大提高了计算效率。为了管理不规则形状,与开放区域相对应的内积矩阵元素被设为零。为了精确地表示形状,精心选择了大量的切比雪夫-高斯-洛巴托点,其数量超过了多项式截断数。通过与以往研究结果和使用有限元方法获得的结果进行综合比较,严格确认了振动声学现象(包括均方速度和声功率)的预测精度。此外,通过各种数值示例,包括矩形、三角形、云形、猪形等几何形状的板以及不同的边界条件,证明了该方法的准确性和通用性。
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引用次数: 0
A novel model-based Cauchy-Schwarz divergence condition indicator for gears monitoring during fluctuating speed conditions 基于模型的新型考奇-施瓦茨发散条件指示器,用于波动速度条件下的齿轮监测
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-10 DOI: 10.1016/j.jsv.2024.118610

Gear monitoring and fault diagnosis are vital for preventing accidents and minimizing economic losses in transportation and industrial systems. Traditional methods use vibration sensors and a two-stage analysis approach: preprocessing data to remove noise and extract relevant components, and generating a condition indicator to detect behavioral anomalies in the gears over time.

Time synchronous averaging is a notable tool for monitoring gears at constant speeds. Such a tool filters sensor signals and extracts rotation-related components by using statistical measurements as condition indicators. However, it has limitations in scenarios with time-varying sampling rates and fluctuating speeds, where statistical measures may not fully capture changes in system parameters.

This article proposes a novel methodology for monitoring gears in multivariate rotordynamical systems under fluctuating speed conditions. The method integrates time synchronous averaging, system identification algorithms, and statistical tools. It generates a time-synchronous average signal considering speed fluctuations, computes a state–space model of gear behavior in healthy states, extracts residual data from a data-driven model, and generates a condition indicator based on the Cauchy–Schwarz divergence.

The proposed methodology was evaluated using experimental data from three rotor dynamical setups under different operational conditions. Validation showed its effectiveness, especially under high-load conditions with significant speed fluctuations.

在运输和工业系统中,齿轮监测和故障诊断对于预防事故和减少经济损失至关重要。传统方法使用振动传感器和两阶段分析方法:预处理数据以去除噪声并提取相关成分,以及生成状态指示器以检测齿轮随时间变化的行为异常。这种工具可过滤传感器信号,并通过使用统计测量值作为状态指标来提取与旋转相关的成分。然而,在采样率随时间变化和速度波动的情况下,统计测量值可能无法完全捕捉系统参数的变化,因此它存在局限性。本文提出了一种新方法,用于监测速度波动条件下多元旋转动力系统中的齿轮。该方法整合了时间同步平均法、系统识别算法和统计工具。它生成一个考虑到速度波动的时间同步平均信号,计算健康状态下齿轮行为的状态空间模型,从数据驱动模型中提取残差数据,并生成一个基于考奇-施瓦茨发散的状态指标。验证结果表明了该方法的有效性,尤其是在转速波动较大的高负荷条件下。
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引用次数: 0
Learning an interpretable end-to-end network for real-time acoustic beamforming 学习用于实时声波波束成形的可解释端到端网络
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-10 DOI: 10.1016/j.jsv.2024.118620

Recently, many forms of audio industrial applications, such as sound monitoring and source localization, have begun exploiting smart multi-modal devices equipped with a microphone array. Regrettably, model-based methods are often difficult to employ for such devices due to their high computational complexity, as well as the difficulty of appropriately selecting the user-determined parameters. As an alternative, one may use deep network-based methods, but these are often difficult to generalize, nor can they generate the desired beamforming map directly. In this paper, a computationally efficient acoustic beamforming algorithm is proposed, which may be unrolled to form a model-based deep learning network for real-time imaging, here termed the DAMAS-FISTA-Net. By exploiting the natural structure of an acoustic beamformer, the proposed network inherits the physical knowledge of the acoustic system, and thus learns the underlying physical properties of the propagation. As a result, all the network parameters may be learned end-to-end, guided by a model-based prior using back-propagation. Notably, the proposed network enables an excellent interpretability and the ability of being able to process the raw data directly. Extensive numerical experiments using both simulated and real-world data illustrate the preferable performance of the DAMAS-FISTA-Net as compared to alternative approaches.

最近,声音监测和声源定位等多种形式的音频工业应用开始利用配备麦克风阵列的智能多模态设备。遗憾的是,基于模型的方法由于计算复杂度高以及难以适当选择用户确定的参数,通常难以用于此类设备。作为一种替代方法,人们可以使用基于深度网络的方法,但这些方法往往难以通用,也不能直接生成所需的波束成形图。本文提出了一种计算效率高的声波波束成形算法,该算法可以展开形成一个基于模型的深度学习网络,用于实时成像,本文称之为 DAMAS-FISTA-Net。通过利用声波波束成形器的自然结构,所提出的网络继承了声学系统的物理知识,从而学习传播的基本物理特性。因此,所有网络参数都可以在基于模型的反向传播先验指导下进行端到端学习。值得注意的是,所提出的网络具有出色的可解释性,能够直接处理原始数据。使用模拟数据和实际数据进行的大量数值实验表明,与其他方法相比,DAMAS-FISTA-网络的性能更佳。
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引用次数: 0
Identification method of the hydrodynamic and acoustic natures of wall pressure fluctuation based on dynamic mode decomposition 基于动态模式分解的壁压波动流体力学和声学性质识别方法
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-08 DOI: 10.1016/j.jsv.2024.118622

In this study, an analysis method is proposed to explain the dynamic mode decomposition (DMD) mode of wall fluctuating pressure from the perspective of hydrodynamics and acoustics. According to the phase velocity, the wavenumber–frequency spectrum is divided into hydrodynamic, acoustic, and subconvective regions. Multiple DMD modes of the pressure field are calculated to obtain the wavenumber–frequency spectrum of the reconstructed pressure, which is characterized by the fact that the energy is concentrated at different wavenumber positions of the same frequency. This behavioral feature enables the DMD mode to be identified as a hydrodynamic, acoustic, and hybrid property according to the wavenumber position where the energy spot appears. This method can realize the classification and contribution analysis of the hydrodynamic and acoustic properties of the wall pressure DMD mode, and establish the mapping relationship between the acoustic mode and the eddy current characteristics through the eigenvalues. The coherent structure of the trace acoustic energy radiation in the incompressible fluid is observed from the statistical perspective, which increases understanding of the flow noise. The zero-pressure gradient wall flow experiment of Abraham is numerically analyzed using the aforementioned method. The results indicate that most of the DMD modes are identified as hydrodynamic, and only the nineteenth-order DMD mode is identified as acoustic. The frequency of the acoustic mode is 23.9 Hz, which has obvious wave-packet characteristics, whereas the hydrodynamic mode exhibits nonradiative convection characteristics, and its eddy current structure is closer to the wall transfer.

本研究提出了一种从流体力学和声学角度解释壁面波动压力动态模式分解(DMD)模式的分析方法。根据相位速度,将波数频谱划分为流体动力区、声学区和亚对流区。通过计算压力场的多个 DMD 模式,可获得重构压力的波数-频谱,其特点是能量集中在同一频率的不同波数位置。这种行为特征使得 DMD 模式能够根据能量点出现的波长位置被识别为流体动力、声学和混合特性。该方法可实现壁压 DMD 模式的流体动力学特性和声学特性的分类和贡献分析,并通过特征值建立声学模式与涡流特性之间的映射关系。从统计角度观察了不可压缩流体中微量声能辐射的相干结构,加深了对流动噪声的理解。利用上述方法对 Abraham 的零压梯度壁流实验进行了数值分析。结果表明,大多数 DMD 模式被确定为流体动力学模式,只有 19 阶 DMD 模式被确定为声学模式。声学模式的频率为 23.9 Hz,具有明显的波包特征,而流体动力模式则表现出非辐射对流特征,其涡流结构更接近于壁面传递。
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引用次数: 0
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Journal of Sound and Vibration
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