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Bone conduction: A linear viscoelastic mixed lumped-continuum model for the human skin in the acoustic frequency range 骨传导:声频范围内人体皮肤的线性粘弹性混合集总-连续体模型
4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-10-27 DOI: 10.1115/1.4063936
Linda Lüchtrath, Eugène Nijman
Abstract In conventional and skin-drive bone conduction, the performance of the exciter is strongly influenced by the mechanical impedance of the skin. This impedance is characterized by the resonance of the cutis on the underlying adipose layer. Although the existing Kelvin-Voigt based lumped parameter skin model allows satisfactory approximation of the magnitude of the measured skin impedance, substantial deviations appear in the associated phase. The use of the existing skin model in coupled exciter-skin response calculations may thus lead to prediction errors at resonance peaks. The present work proposes an alternative model which considers the bending wave propagation in the cutis using a continuum model combined with a Zener material model for the underlying adipose tissue. It shows good agreement with the measurement results and leads to insights in the role of the different skin layers in the observed dynamic response.
摘要在传统骨传导和皮肤驱动骨传导中,皮肤的机械阻抗对激励器的性能有很大影响。这种阻抗的特征是皮下脂肪层上皮肤的共振。尽管现有的基于Kelvin-Voigt的集总参数蒙皮模型可以令人满意地近似测量的蒙皮阻抗的大小,但在相关相位中会出现较大的偏差。因此,在耦合激励器-蒙皮响应计算中使用现有蒙皮模型可能会导致共振峰处的预测误差。目前的工作提出了一种替代模型,该模型考虑了弯曲波在皮肤中的传播,使用连续统模型结合了潜在脂肪组织的齐纳材料模型。它显示了与测量结果的良好一致性,并导致了不同的皮肤层在观察到的动态响应中的作用的见解。
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引用次数: 0
A Multiple-Burner Approach to Passive Control of Multiple Longitudinal Acoustic Instabilities in Combustors 燃烧室多重纵向声不稳定性被动控制的多燃烧器方法
4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-10-13 DOI: 10.1115/1.4063550
Supreeth S, S. R. Chakravarthy
Abstract Presently, passive methods of controlling combustion instability fall short when one considers stabilizing multiple acoustic modes. In this paper, we present a passive control approach based on the locations of the burners to stabilize multiple acoustic modes. The approach is demonstrated using linear stability analysis performed on a canonical open–open rectangular tube enclosing a flame. A linear flame model based on the kinematic description of the flame surface is used. A simultaneous solution method, as opposed to a segregated method, is developed to calculate the mean flow and to evaluate mode shapes and eigenvalues. The stability analysis is performed both on single and on multiple-burner combustors. In the latter case, the axial and transversal arrangement of burners considered preserves the net volumetric heat release rate and exit temperature. The problem of stabilizing the first three acoustic modes is cast as a multi-objective optimization problem for both types of combustors using the location(s) of the burner(s) as decision variable(s). We show that the use of multiple burners markedly increases the stability of the first three modes while not disturbing the combustor design parameters.
目前,控制燃烧不稳定性的被动方法在考虑稳定多种声模态时存在不足。在本文中,我们提出了一种基于燃烧器位置的被动控制方法来稳定多种声模式。该方法是用线性稳定性分析进行了典型的开-开矩形管封闭火焰。采用基于火焰表面运动学描述的线性火焰模型。同时求解的方法,而不是分离的方法,开发计算平均流量和评估模态振型和特征值。对单燃烧器和多燃烧器燃烧器进行了稳定性分析。在后一种情况下,考虑的轴向和横向燃烧器布置保留了净体积热释放率和出口温度。稳定前三种声学模态的问题被视为两种类型燃烧器的多目标优化问题,使用燃烧器的位置作为决策变量。我们表明,使用多个燃烧器显着增加了前三种模式的稳定性,同时不干扰燃烧室的设计参数。
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引用次数: 0
Widening the Band Gaps of Hourglass Lattice Truss Core Sandwich Structures for Broadband Vibration Suppression 加宽沙漏格架芯夹层结构带隙抑制宽带振动
4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-10-06 DOI: 10.1115/1.4063443
Zhenkun Guo, Jiaqi Wen, Dewen Yu, Guobiao Hu, Yaowen Yang
Abstract This paper proposes a novel phononic crystal sandwich beam (PCSB) for low-frequency and broadband vibration suppression. The representative volume element (RVE) consists of two hourglass truss unit cells with the same span but different rod radii. After validating the modeling method, a model of the PCSB is established to calculate band structure and transmittance response, and the results show good agreement. It is found that the PCSB can open wider and lower band gaps compared to a traditional sandwich beam (TSB). The band-folding mechanism is applied. The PCSB breaks the spatial symmetry, becomes diatomic, and opens the folding points, finally leading to two band-folding-induced gaps. The experiment is conducted on the PCSB, and the vibration band gap property is confirmed. Subsequently, the impacts of geometric parameters on the PCSB’s band gaps are investigated in detail. Design guidelines for tuning the geometric parameters toward lower frequency and broadband band gap are provided based on the parametric study results. In addition, the higher-order band-folding strategy is proposed. It is shown that a multi-folding PCSB can produce more band gaps. However, through two examples, i.e., second-folding and third-folding PCSBs, it is known that simply increasing the folding order may not be effective and even could deteriorate the vibration attenuation ability. In summary, this work explores a general strategy for designing sandwich beams with low-frequency and broadband vibration suppression ability.
摘要提出了一种新型声子晶体夹层梁(PCSB),用于低频和宽带的振动抑制。代表性体积单元(RVE)由两个具有相同跨度但杆半径不同的沙漏桁架单元格组成。在验证建模方法的基础上,建立了PCSB的模型,对其波段结构和透射率响应进行了计算,结果吻合较好。实验结果表明,与传统的夹层梁(TSB)相比,PCSB可以打开更宽、更低的带隙。采用带折叠机构。PCSB打破了空间对称性,成为双原子,并打开了折叠点,最终导致两个带折叠引起的间隙。在PCSB上进行了实验,验证了振动带隙特性。随后,详细研究了几何参数对pcb板带隙的影响。根据参数化研究结果,给出了向低频和宽带带隙方向调整几何参数的设计准则。此外,还提出了高阶带折叠策略。结果表明,多折叠PCSB可以产生更多的带隙。然而,通过二次折叠和三次折叠PCSBs的两个例子,我们知道,简单地增加折叠顺序可能并不有效,甚至会降低其减振能力。综上所述,本工作探索了设计具有低频和宽带抑制振动能力的夹层梁的一般策略。
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引用次数: 0
Material Extrusion on an Ultrasonic Air Bed for 3D Printing 用于3D打印的超声空气床材料挤压
IF 1.7 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-08-18 DOI: 10.1115/1.4063214
Sam Keller, M. Stein, O. Ilic
Additive manufacturing, such as 3D printing, offers unparalleled opportunities for rapid prototyping of objects, but typically requires simultaneous building of solid supports to minimize deformation and ensure contact with the printing surface. Here, we theoretically and experimentally investigate the concept of material extrusion on an “air bed” – an engineered ultrasonic acoustic field that stabilizes and supports the soft material by contactless radiation pressure force. We study the dynamics of polylactic acid (PLA) filament—a commonly used material in 3D printing—as it interacts with the acoustic potential during extrusion. We develop a numerical radiation pressure model to determine optimal configurations of ultrasonic transducers to generate acoustic fields and conditions for linear printing. We build a concept prototype that integrates an acoustic levitation array with a 3D printer and use this device to demonstrate linear extrusion on an acoustic air bed. Our results indicate that controlled interactions between acoustic fields and soft materials could offer alternative support mechanisms in additive manufacturing with potential benefits such as less material waste, fewer surface defects, and reduced material processing time.
增材制造,如3D打印,为物体的快速原型制造提供了无与伦比的机会,但通常需要同时构建固体支撑,以尽量减少变形并确保与打印表面接触。在这里,我们从理论上和实验上研究了在“气床”上挤压材料的概念——气床是一种工程超声波声场,通过非接触辐射压力来稳定和支撑软材料。我们研究了聚乳酸(PLA)长丝(3D打印中常用的材料)在挤出过程中与声势相互作用的动力学。我们建立了一个数值辐射压力模型,以确定超声换能器的最佳配置,以产生声场和线性印刷的条件。我们建立了一个概念原型,将声学悬浮阵列与3D打印机集成在一起,并使用该设备演示声学空气床上的线性挤压。我们的研究结果表明,声场与软材料之间的受控相互作用可以为增材制造提供替代支持机制,具有减少材料浪费、减少表面缺陷和缩短材料加工时间等潜在优势。
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引用次数: 0
Nonlinear Energy Transfer of a Spar-Floater System using the Inerter Pendulum Vibration Absorber 利用隔振摆减振器进行浮子系统的非线性能量传递
IF 1.7 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-08-16 DOI: 10.1115/1.4063199
Aakash Gupta, V. Duong, Wei-Che Tai
The inerter pendulum vibration absorber (IPVA) is integrated between a spar and an annulus floater using a ball-screw mechanism to study its wave energy conversion potential. Hydrodynamic stiffness, added mass and radiation damping effects on the spar-floater system are characterized using the boundary element method. It is found that a 1:2 internal resonance via a period doubling bifurcation in the system is responsible for nonlinear energy transfer between the spar-floater system and the pendulum vibration absorber. This nonlinear energy transfer occurs when the primary harmonic solution of the system becomes unstable due to the 1:2 internal resonance phenomenon. The focus of this paper is to analyze this 1:2 internal resonance phenomenon near the first natural frequency of the system. The IPVA system when integrated with the spar-floater system is shown to outperform a linear coupling between the spar and the floater both in terms of the response amplitude operator (RAO) of the spar and one measure of the energy conversion potential of the system. Finally, experiments are performed on the IPVA system integrated with single-degree-of-freedom system (without any hydrodynamic effects) to observe the 1:2 internal resonance phenomenon and the nonlinear energy transfer between the primary mass and the pendulum vibration absorber. It is shown experimentally that the IPVA system outperforms a linear benchmark in terms of vibration suppression due to the energy transfer phenomenon.
采用滚珠丝杠结构将隔振摆式吸振器集成在浮梁和环空浮子之间,研究其波能转换势能。采用边界元法分析了浮杆系统的水动力刚度、附加质量和辐射阻尼效应。研究发现,系统中通过倍周期分岔产生的1:2内共振是造成浮子系统与摆振器之间非线性能量传递的主要原因。当系统的一次谐波解由于1:2的内部共振现象而变得不稳定时,就会发生这种非线性能量传递。本文的重点是分析在系统第一固有频率附近的1:2内共振现象。当IPVA系统与桅杆-浮子系统集成时,无论是在桅杆的响应幅度算子(RAO)还是系统能量转换潜力的一项测量方面,都优于桅杆和浮子之间的线性耦合。最后,在单自由度系统集成的IPVA系统上(不含任何流体动力效应)进行了实验,观察了1:2的内部共振现象以及主质量与摆振器之间的非线性能量传递。实验表明,由于能量传递现象,IPVA系统在抑制振动方面优于线性基准。
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引用次数: 0
Effect of Bending Rigidity and Nonlinear Strains on Free Vibration of Hemi-ellipsoidal Shells 弯曲刚度和非线性应变对半椭球壳自由振动的影响
IF 1.7 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-08-04 DOI: 10.1115/1.4063114
K. Chanto, T. Pulngern, Chanachai Tangbanjongkij, Weeraphan Jiammeepreecha, S. Chucheepsakul
This paper focuses on free vibration of hemi-ellipsoidal shells with the consideration of the bending rigidity and nonlinear terms in strain energy. The appropriate form of the energy functional is formulated based on the principle of virtual work and the fundamental form of surfaces. Natural frequencies and their corresponding mode shapes are determined using the modified direct iteration method. The obtained results, which show a close agreement with previous research, are compared with those obtained based on the membrane theory. The effect of the support condition, thickness, size ratio, and volume constraint condition on frequency parameters and mode shapes is demonstrated. With the bending rigidity, shell thickness has a significant impact on the frequency, especially in higher vibration modes and in shells with a considerable thickness but the frequency parameter converges to that determined by using the membrane theory while the reference radius-to-thickness ratio is increasing. In addition, accounting for the bending rigidity solves the issue of determining natural frequencies and mode shapes of the shells using the membrane theory without the volume constraint condition. The obtained results also indicate that the free vibration analysis with bending is essential for the hemi-ellipsoidal shell with a base radius-to-thickness ratio of less than 100, which gives over 2.84% difference compared with that of the shell derived by membrane theory, and this allows engineers to perform the analysis in more applications.
本文研究了考虑弯曲刚度和应变能非线性项的半椭球壳的自由振动问题。根据虚功原理和曲面的基本形式,给出了能量泛函的适当形式。采用改进的直接迭代法确定了固有频率及其对应的振型。所得结果与前人的研究结果基本一致,并与基于膜理论的结果进行了比较。论证了支承条件、厚度、尺寸比和体积约束条件对频率参数和振型的影响。随着弯曲刚度的增加,壳体厚度对频率的影响显著,特别是在高振动模态和壳体厚度较大但频率参数收敛于利用膜理论确定的频率参数时,参考半径厚度比越来越大。此外,考虑弯曲刚度解决了在没有体积约束条件下使用膜理论确定壳体固有频率和模态振型的问题。研究结果还表明,对于基底半径厚度比小于100的半椭球壳,弯曲自由振动分析是必不可少的,与膜理论推导的壳相比,有2.84%以上的差异,这使得工程师可以在更多的应用中进行分析。
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引用次数: 0
Experimental Modal Analysis of Stators Analyzing the Effects of Lamination and Winding 定子的实验模态分析
IF 1.7 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-06-27 DOI: 10.1115/1.4062839
Manuel Islam, M. Maeder, R. Lehmann, S. Marburg
This paper addresses the experimental analysis of different stator configurations of an electric motor typically used within the automotive sector. The ongoing electrification of the automotive sector, combined with a desire to increase virtual prototyping, means that engineers are increasingly facing new challenges. Against this background, the numerical models of electric motors, particularly stators, are simplified and homogenized. However, this procedure must be supplemented by experimental data to ensure the high quality and reliability of the simulations. Unfortunately, broad experimental investigations are time-consuming and expensive, underlined by the lack of corresponding literature. For this reason, four different stator configurations were investigated as part of experimental modal analysis to highlight the influence of the stator lamination as well as the winding. The results provide the scientific community with a broad outline of how specific influences change modal parameters of each stator configuration. In particular, the results show that lamination significantly reduces axial stiffness. Highlights of the findings relate to the mode-dependent stiffness, mass, and damping influences due to the winding, with the influence of the stiffness deviating significantly from expectation. It was also found that the selected winding technology dominates the structural dynamic system characteristics. Therefore, it is advisable to include the manufacturing technology intended to be used for the lamination and the winding in the early simulative design phase to improve the model prediction quality.
本文解决了不同的定子配置的电机通常用于汽车行业的实验分析。汽车行业的持续电气化,加上对虚拟原型的渴望,意味着工程师们正面临着越来越多的新挑战。在此背景下,电机,特别是定子的数值模型得到了简化和均质化。但是,为了保证模拟的高质量和可靠性,必须辅以实验数据。不幸的是,广泛的实验研究既耗时又昂贵,而且缺乏相应的文献。因此,作为实验模态分析的一部分,研究了四种不同的定子结构,以突出定子层压和绕组的影响。结果为科学界提供了具体影响如何改变每种定子结构模态参数的大致轮廓。特别是,结果表明,层压显著降低轴向刚度。研究结果的重点是与模态相关的刚度、质量和由于缠绕而产生的阻尼影响有关,其中刚度的影响与预期显著偏离。研究还发现,缠绕工艺的选择决定了结构动力系统的特性。因此,为了提高模型预测质量,建议在模拟设计的早期阶段将拟用于层压和缠绕的制造技术包括在内。
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引用次数: 0
A novel method for the determination of blade vibration stress considering the change in blade tip timing sensing position 一种考虑叶尖定时位置变化的叶片振动应力测定新方法
IF 1.7 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-06-08 DOI: 10.1115/1.4062722
Xiaojie Zhang, Yanrong Wang, Dianyin Hu, Rongqiao Wang
Blade Tip Timing (BTT) technology is concerned with the estimation of turbomachinery blade stress. The stress is determined from BTT data by relating the measured tip displacement to the stress via Finite Element (FE) models based on the sensing position. However, the correlation of BTT data with FE predictions involves a number of uncertainties. One of the main ones is the effective positions detected by sensors may deviate from their nominal position due to the blade deformation, which will yield deceptive calibration factors. To deal with this problem, a novel method based on the amplitude ratio and virtual displacement optimization under the distance constraints of sensors installed in different axial positions is proposed to determine the accuracy calibration factors and sensing positions. It realizes the identification of sensing positions without the information of static deformation, and overcomes the inapplicability of the corrected displacement to bending modes. Both synchronous and asynchronous vibrations of five typical vibration modes are discussed to illustrate the applicability of this method. The results show that this method has better performance than traditional method. The prediction errors of bending modes are reduced from 20~30% to 7%, and the maximum error of other modes is reduced from 72% to 23%. In addition, sensitivity analysis is performed to investigate the influence of vibration levels and mode shape inaccuracies. Results demonstrate the great potential of this method in vibration stress determination.
叶尖定时(BTT)技术涉及涡轮机械叶片应力的估计。通过基于传感位置的有限元模型,将测量到的尖端位移与应力联系起来,根据BTT数据确定应力。然而,BTT数据与FE预测的相关性涉及许多不确定性。其中一个主要的问题是,由于叶片的变形,传感器检测到的有效位置可能会偏离其标称位置,这将产生欺骗性的校准因子。针对这一问题,提出了在不同轴向位置传感器距离约束下,基于幅值比和虚拟位移优化的精度标定因子和传感位置确定方法。实现了不需要静态变形信息的传感位置识别,克服了修正位移对弯曲模态的不适用性。讨论了五种典型振动模式的同步和异步振动,以说明该方法的适用性。结果表明,该方法比传统方法具有更好的性能。弯曲模态的预测误差从20~30%减小到7%,其他模态的最大误差从72%减小到23%。此外,还进行了灵敏度分析,以研究振动水平和模态振型误差的影响。结果表明,该方法在振动应力测定中具有很大的潜力。
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引用次数: 0
Underwater Propulsion Using Forced Excitation of a Flexible Beam 利用柔性梁的强制激励进行水下推进
IF 1.7 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-04-28 DOI: 10.1115/1.4062450
Sanders Aspelund, Mahmoud Abdullatif, R. Mukherjee, A. Hellum
Aquatic animals commonly oscillate their fins, tails, or other structures to propel and control themselves in water. These elements are not perfectly rigid, so the interplay between their stiffness and the fluid loading dictates their dynamics. We examine the propulsive qualities of a tail-like flexible beam actuated by a dynamic moment over a range of frequencies and flow speeds. This is accomplished using the equations of fluid-immersed beams in combination with a set of tractable expressions for thrust and efficiency. We solve these expressions over the velocity-frequency plane and show that the flexible propulsor has regions of both positive and negative thrust. We also show the behavior of a sample underwater vehicle with fixed drag characteristics as an illustration of a realizable system.
水生动物通常摆动它们的鳍、尾巴或其他结构来推动和控制自己在水中。这些元件不是完全刚性的,因此它们的刚度和流体载荷之间的相互作用决定了它们的动力学。我们研究了在一定频率和流速范围内由动态力矩驱动的尾状柔性梁的推进特性。这是利用流体浸没梁的方程与一组易于处理的推力和效率表达式相结合来完成的。我们在速度-频率平面上求解了这些表达式,并证明了柔性推进器有正推力和负推力两个区域。我们还展示了一个具有固定阻力特性的样本水下航行器的行为,作为一个可实现系统的说明。
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引用次数: 0
On the feasibility of dynamic substructuring for hybrid testing of vibrating structures 振动结构混合测试动态子结构的可行性研究
IF 1.7 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-03-30 DOI: 10.1115/1.4062256
An Hu, P. Paoletti
Dynamically substructured systems (DSS) are a typical technique to achieve real-time numerical simulations combined with physically tested components. However, the rigorous feasibility analysis before the implementation is missing. This paper is aimed to fill this gap by establishing rigorous conditions for when DSS is suitable for dynamic testing. The proposed method is based on novel symbolic recursive formulations for the transfer functions describing a generic lumped parameter vibrating structure, enabling the analysis of structural and other properties without requiring the computation of explicit symbolic expressions for the transfer functions involved, representing a significant breakthrough as it allows to perform feasibility analysis in analytical form, rather than solely relying on numerical approaches. The series of analytical conclusions presented in this paper, and future ones unlocked by the proposed approach, will significantly enrich the research in the community of DSS and structural vibrations. In particular, the proposed approach allows performing analysis of causality, controllability and observability using much reduced knowledge of the structure, thus significantly simplifying such analysis. Analytical conclusions on stability can also be made with the help of novel recursive form, removing the need of repeatedly calculating the roots of characteristic equations, a task that can be performed only via numerical approaches and for which analytical results are not available. The proposed methodology can be applied to a whole class of vibration problems and is not linked to any specific structure, going beyond the specific examples available in the literature.
动态子结构系统(DSS)是一种结合物理测试部件实现实时数值模拟的典型技术。然而,在实施之前缺乏严格的可行性分析。本文旨在通过建立DSS适合动态测试的严格条件来填补这一空白。所提出的方法基于描述一般集总参数振动结构的传递函数的新颖符号递归公式,使结构和其他特性的分析不需要计算所涉及的传递函数的显式符号表达式,这是一个重大突破,因为它允许以解析形式进行可行性分析,而不仅仅依赖于数值方法。本文中提出的一系列分析结论,以及基于该方法的未来分析结论,将极大地丰富DSS和结构振动领域的研究。特别是,所提出的方法允许使用更少的结构知识来执行因果关系、可控性和可观察性分析,从而大大简化了这种分析。在新的递归形式的帮助下,还可以得出稳定性的分析结论,从而消除了反复计算特征方程的根的需要,这是一项只能通过数值方法执行且无法获得分析结果的任务。所提出的方法可以应用于一整类振动问题,而不与任何特定结构相关联,超出了文献中可用的特定示例。
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引用次数: 0
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