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Cutout effects on the vibration of sandwich auxetic cylindrical shells with an experimental validation 夹层辅助圆柱壳振动的切口效应及实验验证
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-08 DOI: 10.1016/j.jsv.2024.118624

This study investigates the influence of auxetic core layers on the vibrational characteristics of sandwich cylindrical shells with cut-outs. The analysis utilizes the First-order Shear Deformation Theory (FSDT) and analytical techniques. The irregular behavior of auxetic re-entrante honeycomb cells necessitates the exploration of their effects on various systems. Additionally, the proposed method offers advantages over Finite Element Method (FEM). FEM modeling suffers from increased computational time and reduced accuracy with a large number of elements or high aspect ratio elements. These challenges are particularly significant for shells with geometric features of disparate scales, such as large cylinders with tiny cutouts or cutouts with low aspect ratios. However, the present research addresses these challenges by employing a method that integrates five panels with varying dimensions. Consequently, each section can utilize specific Two-Dimensional Generalized Differential Quadrature (2D-GDQ) grid points, tailored to the size of each side, enabling rapid and accurate prediction of displacement and stress parameters, particularly for shorter sides. The proposed method excels at precisely modeling cutouts while preserving their realistic properties. This is achieved by avoiding geometric and material simplifications and by assigning distinct boundary conditions to each region, including critical areas like corners, internal, and external sides. Moreover, Frequency Response Functions (FRFs) obtained from accelerometer and laser signals, alongside vibration-induced sound wave signals captured by electroacoustic microphones, validate the precision of the numerical calculations.

本研究探讨了辅助芯层对带切口夹层圆柱壳振动特性的影响。分析采用了一阶剪切变形理论(FSDT)和分析技术。由于辅助再入式蜂窝单元的不规则行为,有必要探讨其对各种系统的影响。此外,与有限元法(FEM)相比,所提出的方法更具优势。有限元法建模存在计算时间增加和大量元素或高纵横比元素精度降低的问题。对于具有不同尺度几何特征的壳体,如具有微小切口的大圆柱体或具有低纵横比的切口,这些挑战尤为突出。不过,目前的研究采用了一种将五个不同尺寸的面板整合在一起的方法,从而解决了这些难题。因此,每个部分都可以利用特定的二维广义微分四次方(2D-GDQ)网格点,根据每个侧面的尺寸量身定制,从而快速准确地预测位移和应力参数,尤其是较短侧面的位移和应力参数。所提出的方法既能对切口进行精确建模,又能保留其现实特性。这是通过避免几何和材料简化,以及为每个区域(包括边角、内部和外部等关键区域)分配不同的边界条件来实现的。此外,从加速度计和激光信号中获得的频率响应函数(FRF),以及电声麦克风捕捉到的振动诱导声波信号,都验证了数值计算的精确性。
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引用次数: 0
Sound source localization for source inside a structure using Ac-CycleGAN 使用 Ac-CycleGAN 对结构内部的声源进行声源定位
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-08 DOI: 10.1016/j.jsv.2024.118616

We propose a sound source localization (SSL) method called Ac-CycleGAN, which estimates the position of the sound source inside a structure using the frequency spectrum of the accelerometers (FSAs) observed on the exterior of the structure. Accurately localizing sound sources is crucial for noise mitigation in the development of automobiles, machinery, and home appliances. However, SSL inside a structure from its exterior has its limitations, representing a significant gap in reducing product noise levels. To solve this challenge, the Ac-CycleGAN learns under unpaired data conditions using a small amount of real-environment data and a large amount of simulated data. The Ac-CycleGAN generator contributes to the bidirectional transformation of FSAs across both domains. The discriminator of the Ac-CycleGAN model distinguishes between the transformed and the actual data, while simultaneously predicting the location of the sound source. The proposed model improved SSL performance with an increase in real data and achieves an accuracy exceeding 90% when trained with 80% of the real data (12.5% of the simulation data). Furthermore, despite the imperfections in the domain transformation process by the Ac-CycleGAN generator, it becomes apparent that the discriminator selectively utilizes only the features with a small transformation error to SSL.

我们提出了一种名为 Ac-CycleGAN 的声源定位(SSL)方法,该方法利用在结构外部观测到的加速度计(FSA)频谱来估计结构内部的声源位置。在汽车、机械和家用电器的开发过程中,准确定位声源对于降低噪音至关重要。然而,从外部观察结构内部的 SSL 有其局限性,在降低产品噪音水平方面存在很大差距。为了解决这一难题,Ac-CycleGAN 利用少量真实环境数据和大量模拟数据,在无配对数据条件下进行学习。Ac-CycleGAN 生成器有助于 FSA 在两个领域的双向转换。Ac-CycleGAN 模型的判别器可区分转换后的数据和实际数据,同时预测声源的位置。随着实际数据的增加,所提出的模型提高了 SSL 性能,在使用 80% 的实际数据(12.5% 的模拟数据)进行训练时,准确率超过了 90%。此外,尽管 Ac-CycleGAN 生成器在域转换过程中存在缺陷,但很明显,判别器只选择性地利用了转换误差较小的 SSL 特征。
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引用次数: 0
Novel cell-based smoothed extended finite element method for simulating the interactions of ultrasonic waves with randomly distributed cracks in solid structures 基于单元的新型平滑扩展有限元法,用于模拟超声波与固体结构中随机分布的裂缝之间的相互作用
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-07 DOI: 10.1016/j.jsv.2024.118619
Feilong Li , Xiaoqiang Sun , Na Yang , Yue Su

The conventional extended finite element method (XFEM) is a powerful tool for simulating crack-related problems in materials; however, several limitations exist, such as numerical instabilities and convergence issues. These problems arise because enriched elements have higher stiffness than standard elements, and this difference can cause computational difficulties. To overcome these limitations, we developed the cell-based smoothed extended finite element method (CS-XFEM), an advanced computational technique designed to simulate the intricate interactions between ultrasonic waves and randomly distributed cracks within solid materials. This innovative approach integrates a cell-based smoothing technique into the XFEM, effectively softening the stiffness of the enriched elements around crack tips. Therefore, the CS-XFEM eliminates numerical instability, providing a more stable and reliable computational framework. In this study, numerical experiments were conducted in which plasticity properties were assigned to both the crack bodies and tips to reflect crack yielding. Further, frictional contact in the crack body elements was formulated using the Heaviside function, and deformation around the crack tips was approximated using a singular function. Through comprehensive numerical investigations, we demonstrated that the conventional XFEM fails to converge and, instead, diverges when ultrasonic waves interact with randomly distributed cracks. By contrast, our proposed CS-XFEM method demonstrates strong convergence capabilities, rendering it well-suited for exploring the interactions between ultrasonic waves and randomly distributed cracks under varying crack quantities, lengths, and friction coefficients. Overall, the proposed CS-XFEM is an efficient, accurate, and robust method for investigating the acoustic nonlinearity induced by randomly distributed cracks with frictional contact in solid structures.

传统的扩展有限元法(XFEM)是模拟材料裂纹相关问题的强大工具,但也存在一些局限性,如数值不稳定性和收敛问题。出现这些问题的原因是丰富元素比标准元素具有更高的刚度,而这种差异会导致计算困难。为了克服这些限制,我们开发了基于单元的平滑扩展有限元法(CS-XFEM),这是一种先进的计算技术,旨在模拟超声波与固体材料中随机分布的裂纹之间错综复杂的相互作用。这种创新方法将基于单元的平滑技术集成到 XFEM 中,有效地软化了裂纹尖端周围丰富单元的刚度。因此,CS-XFEM 消除了数值不稳定性,提供了更稳定可靠的计算框架。在本研究中,我们进行了数值实验,为裂纹体和裂纹尖端都分配了塑性属性,以反映裂纹屈服。此外,裂纹体元素中的摩擦接触采用 Heaviside 函数,裂纹尖端周围的变形采用奇异函数近似。通过全面的数值研究,我们证明了当超声波与随机分布的裂纹相互作用时,传统的 XFEM 无法收敛,反而会发散。相比之下,我们提出的 CS-XFEM 方法具有很强的收敛能力,非常适合在不同的裂纹数量、长度和摩擦系数条件下探索超声波与随机分布的裂纹之间的相互作用。总之,所提出的 CS-XFEM 是一种高效、准确和稳健的方法,可用于研究固体结构中带有摩擦接触的随机分布裂纹所引起的声学非线性问题。
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引用次数: 0
High-fidelity computational study of aerodynamic noise of side-by-side rotor in full configuration 全配置并列转子气动噪声的高保真计算研究
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-06 DOI: 10.1016/j.jsv.2024.118607

This paper presents a numerical study of side-by-side rotor aircraft in full configuration during hover using high-fidelity computational fluid dynamics (CFD) and aeroacoustic simulations. CFD simulations are performed using HPCMP CREATE™-AV Helios, while acoustic calculations are conducted with PSU-WOPWOP. Overset structured grids are applied using the SA-DES turbulence model along with adaptive mesh refinement in the near- and off-body meshes. Four overlap cases at a specific collective pitch angle of 8° are considered. Results reveal a substantial influence of the fuselage on rotor performance, with improvement in the figure of merit being observed for each overlap configuration due to a partial ground effect. There is considerable increase in blade sectional thrust, pressure fluctuations, and noise levels seen in the 0% overlap configuration compared to the 25% overlap configuration. This increase is primarily due to the absence of rotor overlap, resulting in a lower induced velocity allowing for flow to travel upward, and reaching the rotor disk plane. The acoustic spectrum appears at all harmonics of the blade passing frequency for the 0% and 5% overlap configurations. In contrast, the acoustic spectrum is distinctly present only at even harmonics for the 15% and 25% overlap cases. A noise reduction benefit of 3-5 dBA is noticed in the full configuration cases having rotor overlap compared to the 0% overlap configuration. Acoustic destructive interference is observed in the directivity plot only for the 15% and 25% overlap configurations. Overall, this paper reveals that the fuselage has a significant impact on the performance, aerodynamics, and aeroacoustics of the side-by-side UAM vehicle in hover.

本文采用高保真计算流体动力学(CFD)和气动声学模拟,对全构型并排旋翼飞机悬停过程进行了数值研究。CFD 模拟使用 HPCMP CREATE™-AV Helios 进行,声学计算使用 PSU-WOPWOP 进行。在近体和离体网格中,使用 SA-DES 湍流模型和自适应网格细化技术应用了超集结构网格。考虑了在 8° 特定集体俯仰角下的四种重叠情况。结果表明,机身对转子性能有很大影响,由于部分接地效应,每种重叠配置的优越性都有所改善。与 25% 重叠配置相比,0% 重叠配置的叶片截面推力、压力波动和噪音水平都有显著增加。这种增加主要是由于没有转子重叠,导致诱导速度降低,使气流向上流动,并到达转子盘面。在 0% 和 5% 重叠配置中,声谱出现在叶片通过频率的所有谐波上。相比之下,重叠率为 15% 和 25% 的情况下,声谱仅在偶次谐波处明显出现。与 0% 重叠配置相比,转子重叠的全配置情况下噪音降低了 3-5 分贝。只有在 15%和 25%重叠配置的指向性图中,才能观察到声学破坏性干扰。总之,本文揭示了机身对并排 UAM 飞行器悬停时的性能、空气动力学和气动声学有重大影响。
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引用次数: 0
A novel model order reduction technique for solving horizontal refraction equations in the modeling of three-dimensional underwater acoustic propagation 在三维水下声波传播建模中求解水平折射方程的新型模型阶次缩减技术
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-06 DOI: 10.1016/j.jsv.2024.118617

Modeling three-dimensional (3D) underwater acoustic propagation is vital for underwater detection, localization, and navigation. This article introduces a novel model order reduction (MOR) technique to solve horizontal refraction equations (HREs) in the modeling of 3D underwater acoustic propagation. This approach relies on an adiabatic approximation of the 3D sound field, representing the field as a combination of local vertical modes with their modal coefficients governed by a system of two-dimensional (2D) HREs. Inspired by normal mode theory, the coefficients in the expansion over vertical modes are determined by projecting them onto a lower-dimensional, orthogonal space defined by their transverse eigenfunctions. By artificially truncating the horizontal domain in the transverse directions using two perfectly matched layers (PMLs), the eigenproblem associated with the transverse eigenfunctions of the modal coefficients is closed and thus can be solved through a modal projection method. The modal projection method enables fast computation of modal coefficients in a longitudinally invariant environment within seconds, offering a naturally wide-angle solution covering ±90°. The MOR method is extended to encompass fully 3D cases by introducing an admittance matrix, a memory-saving strategy that prevents numerical overflow when the longitudinal range is large. Moreover, the fact that the outer boundaries of the PMLs are range-independent allows the proposed MOR technique to perform well on a coarse grid when employing the Magnus scheme, significantly saving the numerical cost for the fully 3D simulation. Numerical simulations are provided for both longitudinally invariant and fully 3D scenarios, demonstrating the high accuracy and efficiency of the proposed MOR technique in solving HREs.

三维(3D)水下声波传播建模对于水下探测、定位和导航至关重要。本文介绍了一种新颖的模型阶次缩减(MOR)技术,用于求解三维水下声传播建模中的水平折射方程(HRE)。这种方法依赖于三维声场的绝热近似,将声场表示为局部垂直模态的组合,其模态系数受二维(2D)水平折射方程系统支配。受正常模式理论的启发,垂直模式扩展中的系数是通过将它们投影到由其横向特征函数定义的低维正交空间来确定的。通过使用两个完全匹配层(PML)在横向方向上人为截断水平域,与模态系数的横向特征函数相关的特征问题是封闭的,因此可以通过模态投影法求解。模态投影法可以在纵向不变的环境中,在几秒钟内快速计算模态系数,提供覆盖 ±90° 的自然广角解法。MOR 方法通过引入导纳矩阵扩展到全三维情况,这是一种节省内存的策略,可在纵向范围较大时防止数值溢出。此外,由于 PML 的外部边界与范围无关,因此在采用马格努斯方案时,所提出的 MOR 技术在粗网格上也能表现良好,从而大大节省了全三维模拟的数值成本。本文提供了纵向不变和全三维场景的数值模拟,证明了所提出的 MOR 技术在求解 HRE 时的高精度和高效率。
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引用次数: 0
Dynamical states associated with the shift in whistling frequency in aeroacoustic system 与航空声学系统啸叫频率变化有关的动力学状态
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-06 DOI: 10.1016/j.jsv.2024.118606
Ramesh S. Bhavi, Induja Pavithran, R.I. Sujith

Self-sustained aeroacoustic oscillations arising from the interactions between the hydrodynamic and acoustic fields are perceived as a whistle. Such whistling can lead to large amplitude acoustic oscillations that have disastrous consequences for engineering systems such as large segmented solid rocket motors and large gas pipelines. The whistling corresponds to the state of limit cycle oscillations (LCO) in dynamical systems theory. An aeroacoustic system exhibits different dynamical states when the bulk flow velocity is varied as a control parameter. Understanding the dynamical states and the transitions between them, as the control parameter is varied, is crucial in designing control strategies for such aeroacoustic oscillations. Previous studies have shown that as the control parameter varies, in an aeroacoustic system that has a flow through orifices, the whistling frequency shifts. We show that such a change in frequency occurs via three different scenarios— (1) direct transition between the two LCOs as an abrupt transition, (2) via a state of intermittency, and (3) via a state of aperiodicity. In the current aeroacoustic system, the abrupt transition between the LCOs is manifested as a bursting behaviour where the amplitude of the acoustic pressure fluctuations abruptly switches between the high and low-amplitude LCOs. Further, we show that the dynamical state and the transition between them during the frequency shift have a correlation with the magnitude of the frequency shift. Using recurrence theory we show that there is a change in the dynamical state of the system during the frequency shift. Further, we use synchronisation theory to investigate the coupled behaviour of the velocity (u) and the acoustic pressure (p) fluctuations during the different dynamical states. Our findings imply that u and p exhibit phase synchronisation (PS) during the state of LCO, corresponding to whistling. In contrast, u and p are desynchronised during the state of aperiodicity, corresponding to stable operation. Furthermore, the bursts of periodic oscillations during intermittency correspond to the phase-synchronised epochs of periodic u and p, and the aperiodic epochs correspond to the desynchronised aperiodic u<

由流体动力场和声场相互作用产生的自持气声振荡被认为是一种啸叫。这种啸叫可导致大振幅声振荡,对大型分段式固体火箭发动机和大型天然气管道等工程系统造成灾难性后果。这种啸叫与动力系统理论中的极限周期振荡(LCO)状态相对应。当体积流速度作为控制参数变化时,气声系统会表现出不同的动力学状态。了解控制参数变化时的动力学状态及其之间的转换,对于设计针对此类气声振荡的控制策略至关重要。以往的研究表明,在流经孔道的气声系统中,随着控制参数的变化,啸叫频率也会发生变化。我们的研究表明,这种频率变化会通过三种不同的情况发生--(1) 两个 LCO 之间的直接过渡,即突然过渡;(2) 间歇状态;(3) 非周期性状态。在当前的气声系统中,LCO 之间的突然转换表现为爆裂行为,即声压波动的振幅在高振幅和低振幅 LCO 之间突然切换。此外,我们还表明,频移过程中的动态状态和它们之间的转换与频移的幅度有关。我们利用递推理论证明,在频移过程中,系统的动态状态会发生变化。此外,我们还利用同步理论研究了不同动力学状态下速度(u′)和声压(p′)波动的耦合行为。我们的研究结果表明,u′和 p′在 LCO 状态下表现出相位同步(PS),与啸叫相对应。相比之下,u′和 p′在非周期性状态下是不同步的,相当于稳定运行。此外,间歇期间的周期性振荡脉冲串对应于周期性 u′和 p′的相位同步历元,而非周期性历元对应于非同步的非周期性 u′和 p′。
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引用次数: 0
Investigating the modal behaviors of a deep beam with a transverse open crack 研究带有横向开放裂缝的深梁的模态行为
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-05 DOI: 10.1016/j.jsv.2024.118613
Taejeong Lim , Hyun Woo Park

This paper investigates the modal behaviors of a deep beam with a transverse open crack. Unlike cracked shallow beams with aspect ratio (L/h) > 10, cracked deep beams with aspect ratio < 5 simultaneously exhibit near the crack both axial-bending coupling mode caused by mode I crack and shear (or sliding) mode caused by mode II crack, referred to as axial-bending-shear modal coupling. Therefore, for accurate modal behaviors prediction, appropriate compatibility equations accounting for both modes I and II crack should be employed for deriving a frequency equation. Because the derived frequency equation is nonlinear with respect to modal frequency, the modal frequencies are calculated through the Newton–Raphson method. The corresponding mode shapes are determined by substituting the calculated modal frequencies into the spectral solutions for either side of the crack. The validity of the proposed method was demonstrated through comparison to the finite element analysis and experimental results.

本文研究了具有横向开放裂缝的深梁的模态行为。与长宽比 (L/h) > 10 的开裂浅梁不同,长宽比 < 5 的开裂深梁在裂缝附近同时表现出由模态 I 裂缝引起的轴向弯曲耦合模态和由模态 II 裂缝引起的剪切(或滑动)模态,即轴向弯曲-剪切模态耦合。因此,为了准确预测模态行为,在推导频率方程时应采用适当的兼容性方程,同时考虑模态 I 和模态 II 裂纹。由于推导出的频率方程与模态频率是非线性的,因此模态频率是通过牛顿-拉夫逊法计算得出的。将计算出的模态频率代入裂缝两侧的频谱解,即可确定相应的模态振型。通过与有限元分析和实验结果的比较,证明了所提方法的有效性。
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引用次数: 0
Semi-analytical method for calculating ground vibrations from a tunnel in a homogeneous half-space with an irregular surface 计算具有不规则表面的均质半空间隧道地面振动的半解析法
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-04 DOI: 10.1016/j.jsv.2024.118615

This paper proposes a novel two-dimensional (2D) semi-analytical method for calculating ground vibrations from a tunnel situated in a homogeneous half-space with an irregular surface. The circular tunnel is conceptualized as an elastic solid, while the soil is modelled as an elastic, isotropic, and homogeneous half-space with an irregular surface. A virtual horizontal interface is introduced to divide the soil domain into an irregular region with an arbitrary-shaped surface and a half-space with a circular hollow. The wavefield scattered by the irregular surface is simulated by the boundary integral equation. Through the application of the discrete wavenumber approach and expansion of wavefield on the irregular surface, the boundary integral equation is transformed into a set of simultaneous matrix equations containing unknown expansion coefficients. By utilizing the transformation between cylindrical and plane waves, the boundary conditions on soil-tunnel interface are satisfied, yielding a solution for a harmonic point load acting on the tunnel in a half-space with an irregular surface. The proposed method can simulate topographies with arbitrary shapes and only requires the discretization of the irregular part of the ground surface, which provides a highly efficient tool to investigate the propagation characteristics of train-induced vibrations in complex topographies. The proposed method is verified through comparisons with the existing analytical methods and the finite element method. The dynamic responses of a tunnel embedded in a half-space with a Gaussian-shaped surface are meticulously investigated. A case study involving a site for the Shenzhen metro line 5 is performed. The numerical results demonstrate that the presence of irregular topography alters the distribution of ground vibrations, leading to significant differences in responses within the irregular region and certain disparities in the regular region. The effect of the location, size, and undulating direction of the irregular topography on ground vibrations is frequency-dependent.

本文提出了一种新颖的二维(2D)半解析方法,用于计算位于不规则表面的均质半空间中的隧道产生的地面振动。圆形隧道被概念化为一个弹性实体,而土壤则被模拟为一个具有不规则表面的弹性、各向同性的均质半空间。引入一个虚拟水平界面,将土壤域划分为具有任意形状表面的不规则区域和具有圆形空心的半空间。不规则表面散射的波场由边界积分方程模拟。通过应用离散波数方法和不规则表面上的波场展开,边界积分方程被转化为一组包含未知展开系数的同步矩阵方程。利用圆柱波和平面波之间的转换,满足了土壤-隧道界面的边界条件,从而得到了作用在不规则表面半空间隧道上的谐波点载荷的解。所提出的方法可以模拟任意形状的地形,并且只需要对地表的不规则部分进行离散化处理,这为研究复杂地形中列车诱导振动的传播特性提供了一种高效的工具。通过与现有分析方法和有限元方法的比较,验证了所提出的方法。对嵌入高斯曲面半空间的隧道的动态响应进行了细致的研究。案例研究涉及深圳地铁 5 号线的一个站点。数值结果表明,不规则地形的存在改变了地面振动的分布,导致不规则区域内的响应存在显著差异,而规则区域内的响应也存在一定差异。不规则地形的位置、大小和起伏方向对地面振动的影响与频率有关。
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引用次数: 0
Vibration analysis of the propulsion shaft system considering dynamic misalignment in the outer ring 考虑外环动态错位的推进轴系统振动分析
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-03 DOI: 10.1016/j.jsv.2024.118612
Xinbin Li , Yajun Xu , Jing Liu , Yu Zhang , Jianyu Liu , Guang Pan , Zhifeng Shi

Propulsion shaft systems play a crucial role in marine applications, particularly in ships and underwater vehicles. However, existing research often overlooks the dynamics involved in the transmission of vibrations from the bearing to the housing and subsequently to the hull, which affects vibration control in marine equipment. Therefore, this study introduces an enhanced dynamic model for a propulsion shaft system, incorporating the dynamics of the bearing outer ring and housing. The proposed model deduces the deformation relationships between the ball and the inner/outer ring, considering the outer ring translation and swing. The contact force between the outer ring and bearing housing is calculated using conformal contact theory. Timoshenko beam theory is used to develop the shaft dynamic model, while the propeller, bearing components, and bearing housing are represented through the lumped parameter method. To validate the proposed model, an experiment is conducted, demonstrating its accuracy. The study provides analysis of the bearing contact force, shaft dynamics, and bearing housing dynamics. Additionally, the influence of bearing clearances on the shaft and bearing housing dynamics is investigated. The results show that controlling bearing #2 clearance to below 20 μm helps reduce the system vibrations.

推进轴系统在海洋应用中发挥着至关重要的作用,尤其是在船舶和水下航行器中。然而,现有的研究往往忽略了振动从轴承传递到轴承座并随后传递到船体的动态过程,这影响了船用设备的振动控制。因此,本研究为推进轴系统引入了一个增强动态模型,其中包含轴承外圈和轴承座的动态。考虑到外圈的平移和摆动,所提出的模型推导出了球与内圈/外圈之间的变形关系。外圈和轴承座之间的接触力采用保角接触理论进行计算。季莫申科梁理论被用于建立轴动态模型,而螺旋桨、轴承部件和轴承座则通过集合参数法来表示。为了验证所提出的模型,进行了一次实验,以证明其准确性。研究对轴承接触力、轴动态和轴承座动态进行了分析。此外,还研究了轴承间隙对轴和轴承座动力学的影响。结果表明,将 2 号轴承间隙控制在 20 μm 以下有助于减少系统振动。
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引用次数: 0
On group-theoretic eigenvalue vibration analysis of structural systems with C6v symmetry 关于 C6v 对称结构系统的群论特征值振动分析
IF 4.3 2区 工程技术 Q1 ACOUSTICS Pub Date : 2024-07-03 DOI: 10.1016/j.jsv.2024.118608
Alphose Zingoni

In considerations of the linear vibration of symmetric systems, group theory allows the space of the eigenvalue problem to be decomposed into independent subspaces that are spanned by symmetry-adapted freedoms. These problems usually feature one or more degenerate subspaces (i.e. subspaces that contain repeating solutions). For such subspaces, the associated idempotents, as calculated from the character table of the symmetry group, are not capable of full decomposition of the subspace. In this paper, and based on group theory, simple algebraic operators that fully decompose the two degenerate subspaces of structural problems belonging to the C6v symmetry group are proposed. The operators are applied to the vibration of a spring-mass system, for which the results for natural frequencies are found to agree exactly with results from the literature. Their application to the vibration of a hexagonal plane grid reveals new insights on the character of the modes of degenerate subspaces. The overall conclusion is that, for problems belonging to the C6v symmetry group, the proposed operators allow the mixed modes of degenerate subspaces to be separated into two distinct symmetry categories, and are very effective in simplifying the actual computation of the repeating eigenvalues of these subspaces.

在考虑对称系统的线性振动时,群论允许将特征值问题的空间分解为独立的子空间,这些子空间由对称适应的自由度所跨越。这些问题通常具有一个或多个退化子空间(即包含重复解的子空间)。对于这类子空间,根据对称群的特征表计算出的相关幂等式无法对子空间进行完全分解。本文基于群论,提出了能完全分解属于 C6v 对称群的结构问题的两个退化子空间的简单代数算子。将这些算子应用于弹簧-质量系统的振动,发现其自然频率结果与文献结果完全一致。将它们应用于六边形平面网格的振动,揭示了退化子空间模态特征的新见解。总的结论是,对于属于 C6v 对称群的问题,所提出的算子允许将退化子空间的混合模态分成两个不同的对称类别,并能非常有效地简化这些子空间重复特征值的实际计算。
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引用次数: 0
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Journal of Sound and Vibration
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