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A Study of Seating Suspension System Vibration Isolation Using a Hybrid Method of an Artificial Neural Network and Response Surface Modelling 使用人工神经网络和响应面建模混合方法的座椅悬挂系统振动隔离研究
Q3 ENGINEERING, MECHANICAL Pub Date : 2024-01-08 DOI: 10.3390/vibration7010003
Yuli Zhao, M. Khayet, Xu Wang
A reliable prediction model can greatly contribute to the research of car seating system vibration control. The novelty of this paper lies in the development of a hybrid method of an artificial neural network (ANN) and response surface methodology (RSM) to predict the peak seat-to-head transmissibility ratio of a seating suspension system and to evaluate its ride comfort for different seat design parameters. Additionally, this method can remove the experimental design of the RSM model. In this paper, four seat design parameters are selected as input parameters and arranged using the central composite design method. The peak transmissibility ratio from seat to head at 4 Hz is chosen as the response target output value. To illustrate this hybrid method, the response target output value of the peak transmissibility ratio is calculated from the frequency response of a five-degrees-of-freedom (5-DOF) lumped-parameter biodynamic seating suspension model. The input design parameters and the response target output values are used to train an ANN to establish the relationship between the seat design parameters and the peak transmissibility ratio. At the same time, the input design parameters and the response target output values predicted by the ANN are used to develop the relationship between the seat design parameters and the peak transmissibility ratio using the response surface method and linear regression models. The hybrid of the ANN and response surface methods makes the planning or design of experiments not essential. The hybrid model of the ANN and response surface method is more accurate and convenient than a linear regression model for the study of seating system vibration isolation.
一个可靠的预测模型可以极大地促进汽车座椅系统振动控制的研究。本文的创新之处在于开发了一种人工神经网络(ANN)和响应面方法(RSM)的混合方法,用于预测座椅悬挂系统的峰值座面传递比,并评估不同座椅设计参数下的乘坐舒适性。此外,该方法还可以去除 RSM 模型的实验设计。本文选取四个座椅设计参数作为输入参数,并采用中心复合设计法进行排列。选择 4 Hz 时座椅到头部的峰值透射比作为响应目标输出值。为了说明这种混合方法,峰值传递率的响应目标输出值是通过五自由度(5-DOF)整数参数生物动力学座椅悬架模型的频率响应计算得出的。输入设计参数和响应目标输出值用于训练 ANN,以建立座椅设计参数与峰值传递率之间的关系。同时,使用响应面法和线性回归模型,将输入设计参数和 ANN 预测的响应目标输出值用于建立座椅设计参数与峰值传递率之间的关系。由于采用了方差网络和响应面法的混合方法,因此不需要进行试验规划或设计。在座椅系统隔振研究中,ANN 和响应面法的混合模型比线性回归模型更准确、更方便。
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引用次数: 0
Evaluating Contact-Less Sensing and Fault Diagnosis Characteristics in Vibrating Thin Cantilever Beams with a MetGlas® 2826MB Ribbon 用 MetGlas® 2826MB 带评估振动薄悬臂梁的无接触传感和故障诊断特性
Q3 ENGINEERING, MECHANICAL Pub Date : 2024-01-06 DOI: 10.3390/vibration7010002
Robert-Gabriel Sultana, Achilleas Davrados, Dimitrios Dimogianopoulos
The contact-less sensing and fault diagnosis characteristics induced by fixing short Metglas® 2826MB ribbons onto the surface of thin cantilever polymer beams are examined and statistically evaluated in this study. Excitation of the beam’s free end generates magnetic flux from the vibrating ribbon (fixed near the clamp side), which, via a coil suspended above the ribbon surface, is recorded as voltage with an oscilloscope. Cost-efficient design and operation are key objectives of this setup since only conventional equipment (coil, oscilloscope) is used, whereas filtering, amplification and similar circuits are absent. A statistical framework for extending past findings on the relationship between spectral changes in voltage and fault occurrence is introduced. Currently, different levels of beam excitation (within a frequency range) are shown to result in statistically different voltage spectral changes (frequency shifts). The principle is also valid for loads (faults) of different magnitudes and/or locations on the beam for a given excitation. Testing with either various beam excitation frequencies or different loads (magnitude/locations) at a given excitation demonstrates that voltage spectral changes are statistically mapped onto excitation levels or occurrences of distinct faults (loads). Thus, conventional beams may cost-efficiently acquire contact-less sensing and fault diagnosis capabilities using limited hardware/equipment.
本研究对将短 Metglas® 2826MB 磁带固定在薄悬臂聚合物梁表面所产生的无接触传感和故障诊断特性进行了检查和统计评估。横梁自由端受到激励时,振动带(固定在靠近夹具一侧)会产生磁通量,磁通量通过悬挂在振动带表面上方的线圈,用示波器记录为电压。由于只使用常规设备(线圈、示波器),而不使用滤波、放大和类似电路,因此设计和操作的成本效益是该装置的关键目标。此外,还介绍了一个统计框架,用于扩展以往关于电压频谱变化与故障发生之间关系的研究成果。目前,不同水平的波束激励(在一定频率范围内)会导致统计上不同的电压频谱变化(频率偏移)。该原理也适用于给定激励下梁上不同大小和/或位置的负载(故障)。在给定励磁条件下,使用各种横梁励磁频率或不同负载(大小/位置)进行的测试表明,电压频谱变化在统计学上与励磁水平或不同故障(负载)的发生相关联。因此,传统横梁可以利用有限的硬件/设备,经济高效地获得非接触式传感和故障诊断能力。
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引用次数: 0
A Testbench for Measuring the Dynamic Force-Displacement Characteristics of Shockmounts 测量减震支架动态力-位移特性的测试平台
Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-21 DOI: 10.3390/vibration7010001
Bernhard Heinemann, Kai Simanowski, Michael Clasen, Jan Dreesen, D. Sachau
Shockmounts in naval applications are used to mount technical equipment onto the structure of naval vessels. The insulating effect against mechanical shock is important here, as it can excite the structure in the event of underwater explosions and otherwise cause damage to the equipment. Although knowledge of the dynamic properties of shockmounts is important to naval architects, the dynamic force-displacement characteristics of shockmounts are often tested and measured statically and/or in the harmonic field. Recently, an inertia-based method and a dynamic model for measuring the dynamic force-displacement characteristics of shockmounts was described. This paper presents a full description of a testbench for implementing this method. The testbench incorporates a drop table for excitation. The proposed setup can be configured for measuring the dynamic characteristics of elastomer and wire rope shockmounts, with shock loads in compression, tension, shear and roll directions. The advanced Kelvin–Voigt model for shockmounts is applied, showing that the dynamic force-displacement characteristics measured with this setup are qualified to generate model parameters for further use.
舰船应用中的减震支架用于将技术设备安装到舰船结构上。对机械冲击的绝缘效果在这里非常重要,因为在水下爆炸时,机械冲击可能会激发结构,从而对设备造成损坏。虽然减震装置的动态特性知识对舰艇设计师来说非常重要,但减震装置的动态力-位移特性通常是通过静态和/或谐波场进行测试和测量的。最近,介绍了一种基于惯性的方法和动态模型,用于测量减震架的动态力-位移特性。本文全面介绍了实施该方法的测试平台。该测试平台包含一个用于激励的下降台。建议的设置可用于测量弹性体和钢丝绳减震支架的动态特性,以及压缩、拉伸、剪切和滚动方向的冲击载荷。应用先进的 Kelvin-Voigt 减震装置模型表明,利用该装置测量的动态力-位移特性可以生成模型参数,供进一步使用。
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引用次数: 0
Study on Fluid–Structure Interaction of a Camber Morphing Wing 凸面变形机翼的流固相互作用研究
Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-12 DOI: 10.3390/vibration6040062
Yuanjing Wang, Pengxuan Lei, Binbin Lv, Yuchen Li, H. Guo
The influence of trailing edge deformation on the aerodynamic characteristics of camber morphing wings is an important topic in the aviation field. In this paper, a new memory alloy actuator is proposed to realize trailing edge deformation, and computational fluid dynamics (CFD) and wind tunnel experiments are used to study the influence of trailing edge deformation on the aerodynamic characteristics of the camber morphing wings. The experiments was carried out in a transonic wind tunnel with Mach numbers ranging from 0.4 to 0.8 and angles of attack ranging from 0° to 6°. The external flow fields and aerodynamic force coefficients with and without deformation were calculated using the CFD method. A loose coupled method based on data exchange was used to achieve a fluid–structure interaction (FSI) analysis. The research results indicate that when the trailing edge is deflected downwards, the phenomenon of shock wave forward movement reduces the negative pressure area on the upper wing surface, increases the pressure on the lower wing surface, and ultimately increases the total lift. This work provides a new approach for the implementation of trailing edge deformation and a powerful data reference for the design of camber morphing wings.
后缘变形对外倾变形机翼气动特性的影响是航空领域的一个重要课题。本文提出了一种新型记忆合金致动器来实现后缘变形,并利用计算流体动力学(CFD)和风洞实验研究了后缘变形对外凸变形机翼气动特性的影响。实验在跨音速风洞中进行,马赫数为 0.4 至 0.8,攻角为 0 至 6°。使用 CFD 方法计算了有变形和无变形时的外部流场和空气动力系数。采用基于数据交换的松耦合方法实现了流固耦合(FSI)分析。研究结果表明,当后缘向下偏转时,冲击波前移现象减少了上翼面的负压面积,增加了下翼面的压力,最终增加了总升力。这项工作为后缘变形的实现提供了一种新的方法,也为外倾角变形翼的设计提供了有力的数据参考。
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引用次数: 0
Study on Lateral Vibration of Tail Coach for High-Speed Train under Unsteady Aerodynamic Loads 高速列车尾部客车在非稳定空气动力载荷下的横向振动研究
Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-08 DOI: 10.3390/vibration6040061
Tian Li, Yifan Li, Lai Wei, Ji-ye Zhang
As the speed of high-speed trains increases, the vehicle’s lateral stability steadily deteriorates. There have been observations of abnormal vibrations in the tail car, particularly on certain sections of the railway line. This study built a high-speed train aerodynamic simulation model for a three-car consist, and a multibody dynamics simulation model for an eight-car consist based on numerical simulations of train aerodynamics and multibody dynamics. It investigated both steady and unsteady aerodynamic loads, flow field characteristics, and the dynamic performance of vehicles under varied aerodynamic loads at 400 km/h. The results indicate that the aerodynamic loads generated during high-speed train operation exhibit highly unsteady characteristics. Steady aerodynamic loads have a relatively minor impact on the vehicle’s dynamic performance, whereas unsteady loads exert a more significant influence. Under unsteady aerodynamic forces, the tail car experiences severe lateral vibrations. The lateral stability index, displacement, velocity, and acceleration of the tail car under unsteady conditions were measured at 2.26, 7.54 mm, and 0.53 m/s2, respectively. These values represent increases of over 17.71%, 148.84%, and 111.24%, respectively, compared to the steady loads. Large oscillation amplitudes result in more significant lateral displacements and accelerations of the vehicle. This phenomenon is a crucial factor contributing to the “tail swing” effect observed in high-speed trains. This study emphasizes the importance of considering unsteady aerodynamic effects in assessing the lateral stability of high-speed trains and highlights the significance of mitigating the adverse impacts of such dynamic responses, particularly in the tail car.
随着高速列车速度的提高,车辆的横向稳定性不断恶化。有人观察到尾车厢有异常振动,特别是在铁路线的某些路段。在对列车空气动力学和多体动力学进行数值模拟的基础上,建立了3节车厢组队的高速列车气动仿真模型和8节车厢组队的多体动力学仿真模型。研究了车辆在400 km/h时的定常和非定常气动载荷、流场特性以及不同气动载荷下的动力性能。结果表明,高速列车运行过程中产生的气动载荷具有高度非定常特性。定常气动载荷对飞行器动力性能的影响较小,而非定常气动载荷对飞行器动力性能的影响较大。在非定常气动力作用下,尾车横向振动剧烈。在非定常工况下,尾车的横向稳定指数为2.26,位移为7.54 mm,速度为0.53 m/s2,加速度为0.53 m/s2。与稳定负荷相比,这些值分别增加了17.71%、148.84%和111.24%以上。较大的振荡幅度导致车辆的横向位移和加速度更为显著。这一现象是造成高速列车“摇尾”效应的关键因素。本研究强调了在评估高速列车横向稳定性时考虑非定常气动效应的重要性,并强调了减轻这种动态响应的不利影响的重要性,特别是在尾车中。
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引用次数: 0
A Few-Shot Learning Based Fault Diagnosis Model Using Sensors Data from Industrial Machineries 基于少量学习的工业机械传感器故障诊断模型
Q3 ENGINEERING, MECHANICAL Pub Date : 2023-11-14 DOI: 10.3390/vibration6040059
Farhan Md. Siraj, Syed Tasnimul Karim Ayon, Jia Uddin
Efficient maintenance in the face of complex and interconnected industrial equipment is crucial for corporate competitiveness. Traditional reactive approaches often prove inadequate, necessitating a shift towards proactive strategies. This study addresses the challenges of data scarcity and timely defect identification by providing practical guidance for selecting optimal solutions for various equipment malfunction scenarios. Utilizing three datasets—Machine Sound to Machine Condition Monitoring and Intelligent Information (MIMII), Case Western Reserve University (CWRU), and Machinery Failure Prevention Technology (MFPT)—the study employs the Short-Time Fourier Transform (STFT) as a preprocessing method to enhance feature extraction. To determine the best preprocessing technique, Gammatone Transformation, and raw data are also considered. The research optimizes performance and training efficiency by adjusting hyperparameters, minimizing overfitting, and using the KERAS Early Halting API within resource constraints. To address data scarcity, which is one of the major obstacles to detecting faults in the industrial environment, Few-shot learning (FSL) is employed. Various architectures, including ConvNeXt Base, Large MobileNetV3, ResNet-18, and ResNet-50, are incorporated within a prototypical network-based few-shot learning model. MobileNet’s lower parameter count, high accuracy, efficiency, and portability make it the ideal choice for this application. By combining few-shot learning, MobileNet architecture, and STFT preprocessing, this study proposes a practical and data-efficient fault diagnosis method. The model demonstrates adaptability across datasets, offering valuable insights for enhancing industrial fault detection and preventive maintenance procedures.
面对复杂和互联的工业设备,高效的维护对企业竞争力至关重要。传统的被动做法往往证明是不够的,因此必须转向主动战略。本研究通过为各种设备故障场景选择最佳解决方案提供实用指导,解决了数据稀缺性和及时缺陷识别的挑战。利用三个数据集——机器声音到机器状态监测和智能信息(MIMII)、凯斯西储大学(CWRU)和机器故障预防技术(MFPT)——研究采用短时傅里叶变换(STFT)作为预处理方法来增强特征提取。为了确定最佳的预处理技术,还考虑了伽玛酮变换和原始数据。该研究通过调整超参数、最小化过拟合以及在资源限制下使用KERAS早期停止API来优化性能和训练效率。为了解决数据稀缺性是工业环境中检测故障的主要障碍之一,采用了少射学习(FSL)方法。各种架构,包括ConvNeXt Base、Large MobileNetV3、ResNet-18和ResNet-50,都被整合在一个基于网络的原型学习模型中。MobileNet的低参数计数,高精度,效率和可移植性使其成为此应用程序的理想选择。本研究通过结合few-shot学习、MobileNet架构和STFT预处理,提出了一种实用且数据高效的故障诊断方法。该模型展示了跨数据集的适应性,为加强工业故障检测和预防性维护程序提供了有价值的见解。
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引用次数: 0
Optimal Placement and Active Control Methods for Integrating Smart Material in Dynamic Suppression Structures 动态抑制结构中集成智能材料的优化布局与主动控制方法
Q3 ENGINEERING, MECHANICAL Pub Date : 2023-11-08 DOI: 10.3390/vibration6040058
Amalia Moutsopoulou, Georgios E. Stavroulakis, Markos Petousis, Anastasios Pouliezos, Nectarios Vidakis
To simulate a lightweight structure with integrated actuators and sensors, two-dimensional finite elements are utilized. The study looks at the optimal location and active vibration control for a piezoelectric smart flexible structure. Intelligent applications are commonly used in engineering applications. In computational mechanics, selecting the ideal position for actuators to suppress oscillations is crucial. The structure oscillates due to dynamic disturbance, and active control is used to try to reduce the oscillation. Utilizing an LQR and Hinfinity controller, optimization is carried out to determine the best controller weights, which will dampen the oscillation. Challenging issues arise in the design of control techniques for piezoelectric smart structures. Piezoelectric materials have been investigated for use in distributed parameter systems (for example airplane wings, intelligent bridges, etc.) to provide active control efficiently and affordably. Still, no full suppression of the oscillation with this approach has been achieved so far. The controller’s order is then decreased using optimization techniques. Piezoelectric actuators are positioned optimally according to an enhanced optimization method. The outcomes demonstrate that the actuator optimization strategies used in the piezoelectric smart single flexible manipulator system have increased observability in addition to good vibration suppression results.
采用二维有限元方法对具有执行器和传感器的轻量化结构进行仿真。研究了压电智能柔性结构的最优定位和主动振动控制。智能应用在工程应用中得到了广泛的应用。在计算力学中,选择执行器抑制振动的理想位置是至关重要的。结构由于受到动力扰动而产生振荡,采用主动控制来减小振荡。利用LQR和无穷大控制器进行优化,以确定抑制振荡的最佳控制器权值。压电智能结构的控制技术设计中出现了许多具有挑战性的问题。压电材料已被研究用于分布式参数系统(如飞机机翼、智能桥梁等),以提供有效和经济的主动控制。然而,迄今为止,这种方法还没有完全抑制振荡。然后使用优化技术降低控制器的阶数。采用一种改进的优化方法对压电致动器进行优化定位。结果表明,压电智能单柔性机械臂系统所采用的致动器优化策略除了具有良好的抑振效果外,还提高了系统的可观测性。
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引用次数: 0
Experimental and Theoretical Reproducibility Research on the Earthquake Resistance of Cylindrical Steel Tanks 圆柱形钢储罐抗震性能的实验与理论再现性研究
Q3 ENGINEERING, MECHANICAL Pub Date : 2023-11-04 DOI: 10.3390/vibration6040057
Nurlan Zhangabay, Marco Bonopera, Akmaral Utelbayeva, Timur Tursunkululy, Murat Rakhimov
This article analyzes the convergence of the obtained values as a result of the authors’ earlier experimental and theoretical studies. On the basis of the correlations, it was found that the analyses of a traditional cylindrical steel tank without a steel wire strand wrapping and with a filling level of zero by a liquid showed a difference in natural vibration frequencies of 8.4%, while with half and maximal filling by a liquid showed differences equal to 3.2% and 6.2%, respectively. Vice versa, analyses of a cylindrical steel tank with a steel wire strand winding pitch of a = 3d and with a filling level of zero by a liquid showed a difference in natural vibration frequencies of 8.1%, while with half and maximum filling by a liquid and with the same steel wire strand winding pitch showed differences of 10.1% and 5.9%, respectively. Conversely, analyses of a cylindrical steel tank with a steel wire strand winding pitch of a = d and in absence of filling level amounted to a difference of 5.5%, while with half and maximum filling and with the same steel wire strand winding pitch of a = d, differences of 1.6% and 1.4% were, respectively, achieved. Based on the aforementioned results, the general difference between experimental and theoretical vibration frequencies showed up to 10%, which is a satisfactory result of convergence. The obtained findings of this research can be used by engineers and technical workers in the industries of various fields, research institutes and professional companies in designing new earthquake-resistant steel tanks and strengthening existing ones. Conclusions were then mentioned at the end of the article.
本文分析了作者早期实验和理论研究所得值的收敛性。在此基础上,分析发现,无钢丝缠绕的传统圆柱形钢罐与液体填充量为零时的固有振动频率差异为8.4%,液体填充量为一半和最大时的固有振动频率差异分别为3.2%和6.2%。反之,当钢绞线缠绕节距为a = 3d、液体填充量为零时,圆柱形钢槽的固有振动频率差异为8.1%,而液体填充量为一半和最大、相同钢绞线缠绕节距时,固有振动频率差异分别为10.1%和5.9%。相反,在没有填充水平的情况下,当钢绞线缠绕节距为a = d时,圆柱形钢槽的分析结果差异为5.5%,而在相同的钢绞线缠绕节距为a = d的情况下,半填充和最大填充的分析结果差异分别为1.6%和1.4%。基于上述结果,实验振动频率与理论振动频率的总体差异可达10%,这是令人满意的收敛结果。本研究成果可供各领域、科研院所和专业公司的工程技术人员用于设计新的抗震钢罐和加固现有的抗震钢罐。然后在文章的末尾提到了结论。
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引用次数: 0
Effects of a Single Session of Whole Body Vibration Compared to Multiple Sessions—An Updated Review and Meta-Analysis 与多次振动相比,单次全身振动的效果——一项最新的综述和荟萃分析
Q3 ENGINEERING, MECHANICAL Pub Date : 2023-10-18 DOI: 10.3390/vibration6040055
Andrea Dincher
Parkinson’s disease is an incurable neurological disease. Only the symptoms can be treated with medication or exercise therapy. The present analysis is intended to show how whole-body vibration training affects the symptoms of Parkinson’s disease, distinguishing between acute and long-term effects. Methods: online databases (EMBASE, PubMed, PEDro) were searched for reviews, meta-analyses and new studies since the previous most recent review/meta-analysis. Studies with at least a medium methodological quality (PEDro score at least 5 points) were selected. Results were presented as forest plots that indicated standardized mean differences with 95% confidence interval. Results: Sixteen studies were found with a PEDro-score of at least 5 points. Of these, three studies were excluded from the qualitative analysis because the necessary data, such as standard deviation or control group results, were missing. The effect sizes are very mixed. In some parameters there is no effect, in others a very strong effect. The effects in the comparison between single and multiple treatments are similar. Discussion: The different effects may be partly due to the different vibration frequencies or sentence durations, as well as to different valid test procedures. Conclusions: Since the study situation still does not show clear results, further studies must follow that compare different frequencies, sentence durations and vibration types with each other, so that training recommendations can be given on this basis.
帕金森病是一种无法治愈的神经系统疾病。只有症状可以通过药物或运动疗法来治疗。目前的分析旨在显示全身振动训练如何影响帕金森病的症状,区分急性和长期影响。方法:检索在线数据库(EMBASE、PubMed、PEDro),检索自上一次最新综述/荟萃分析以来的综述、荟萃分析和新研究。选择至少具有中等方法学质量(PEDro评分至少5分)的研究。结果以森林图表示,以95%置信区间表示标准化平均差异。结果:16项研究的pedro评分至少为5分。其中,有3项研究因为缺少必要的数据,如标准差或对照组结果,而被排除在定性分析之外。效果大小是非常复杂的。在一些参数中没有影响,在另一些参数中有很强的影响。单次和多次治疗的效果比较相似。讨论:不同的效果可能部分是由于不同的振动频率或句子持续时间,以及不同的有效测试程序。结论:由于研究情况仍未显示出明确的结果,因此必须进行进一步的研究,将不同的频率、句子时长和振动类型进行比较,从而在此基础上给出训练建议。
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引用次数: 0
FEM Investigation of the Air Resonance in a Cretan Lyra 克里特岛天琴座空气共振的有限元研究
Q3 ENGINEERING, MECHANICAL Pub Date : 2023-10-18 DOI: 10.3390/vibration6040056
Nikolaos M. Papadakis, Nikolaos Nikolidakis, Georgios E. Stavroulakis
Cretan lyra is a stringed instrument very popular on the island of Crete, Greece, and an important part of its musical tradition. For stringed musical instruments, the air mode resonance plays a vital part in their sound, especially in the low frequency range. For this study, the air mode resonance of a Cretan lyra is investigated with the use of finite element method (FEM). Two different FEM acoustic models were utilized: First, a pressure acoustics model with the Cretan lyra body treated as rigid was used to provide an approximate result. Secondly, an acoustic–structure interaction model was applied for a more accurate representation. In addition, acoustic measurements were performed to identify the air mode resonance frequency. The results of this study reveal that the acoustic–structure interaction model has a 3.7% difference regarding the actual measurements of the resonance frequency. In contrast, the pressure acoustics solution is approximately 13.8% too high compared with the actual measurements. Taken together, the findings of this study support the idea that utilizing the FEM acoustic–structure interaction models could possibly predict the vibroacoustic behavior of musical instruments more accurately, which in turn can enable the determination of key aspects that can be used to control the instrument’s tone and sound quality.
克里特岛琴弦是希腊克里特岛上非常流行的一种弦乐器,也是其音乐传统的重要组成部分。对于弦乐器来说,空模共振在其声音中起着至关重要的作用,特别是在低频范围内。本文采用有限元法研究了一架克里特岛琴弦的空模共振问题。采用两种不同的有限元声学模型:首先,将克里特琴弦体处理为刚性的压力声学模型用于提供近似结果。其次,采用声-结构相互作用模型进行更精确的表征。此外,还进行了声学测量以确定空气模式共振频率。研究结果表明,声-结构相互作用模型与实际测量的共振频率有3.7%的差异。相比之下,与实际测量结果相比,压力声学解决方案大约高出13.8%。综上所述,本研究的发现支持了这样一种观点,即利用有限元声-结构相互作用模型可以更准确地预测乐器的振动声学行为,从而可以确定可用于控制乐器音调和音质的关键方面。
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引用次数: 0
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Vibration
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