Journal of Sound and Vibration最新文献

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The disturbance energy and Rayleigh criterion in a non-ideal compressible fluid 非理想可压缩流体中的扰动能量和瑞利判据
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-29 DOI: 10.1016/j.jsv.2025.119471
Gabriel Farag , Said Taileb
{"title":"The disturbance energy and Rayleigh criterion in a non-ideal compressible fluid","authors":"Gabriel Farag ,&nbsp;Said Taileb","doi":"10.1016/j.jsv.2025.119471","DOIUrl":"10.1016/j.jsv.2025.119471","url":null,"abstract":"<div><div>Small perturbation theory neglects non-linear terms and allows for analytical predictions and identifications of physical trends. It can then be used for the understanding and modelling of more complicated nonlinear phenomena, <em>e.g.</em> turbulence and fluid instabilities. In compressible fluids these theories generally rely on the ideal gas assumption. This article theoretically examines the fluctuations in a non-ideal compressible fluid, utilizing the Navier–Stokes–Fourier model, with an arbitrary equation of state. The linearized governing system is deduced, thereafter elucidating the amplification or attenuation of fluctuations through an analysis of energy disturbance, extending the framework established by Chu (Chu, 1965) to encompass arbitrary non-ideal compressible fluids. It is demonstrated that the proposed disturbance energy embodies the same advantageous properties as Chu’s ideal-gas one. The study of the time evolution of the disturbance energy then allows to derive a simple stability criteria generalizing the Rayleigh criterion (Rayleigh, 1878) to steady and non-uniform flows of non-ideal compressible fluids. Similar to the Rayleigh criterion, this criterion offers novel physical insights into the amplification or attenuation of arbitrary fluctuations within non-ideal compressible fluids. Moreover, the present work represents an advancement attempting to extend classical findings derived under the ideal gas assumption to integrate alternative equations of state. The analysis and equations derived are expected to allow improvements in both the understanding and modelling of disturbances in non-ideal compressible fluids.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"620 ","pages":"Article 119471"},"PeriodicalIF":4.9,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Gradient-based optimization of seismic metasurfaces for broadband vibration mitigation in layered soil based on power flow 基于潮流的层状土宽频带减振地震超表面梯度优化
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-24 DOI: 10.1016/j.jsv.2025.119466
Zohre Kabirian, David Carneiro, Geert Degrande, Geert Lombaert
{"title":"Gradient-based optimization of seismic metasurfaces for broadband vibration mitigation in layered soil based on power flow","authors":"Zohre Kabirian,&nbsp;David Carneiro,&nbsp;Geert Degrande,&nbsp;Geert Lombaert","doi":"10.1016/j.jsv.2025.119466","DOIUrl":"10.1016/j.jsv.2025.119466","url":null,"abstract":"<div><div>This paper presents a gradient-based optimization method to enhance the performance of seismic metasurfaces for broadband vibration mitigation. The metasurface consists of an array of single-degree-of-freedom (SDOF) resonators. A 3D coupled finite element–boundary element method is used to model the interaction of the resonators with the soil. The wave field generated by a point load at the soil’s surface represents environmental ground vibration. The transmitted power is quantified by the power flow through an auxiliary plane behind the metasurface. The integrated power flow over a range of frequencies is minimized in an optimization problem, providing a global metric of the metasurface’s effectiveness. An adjoint formulation is developed to efficiently compute gradients. Initially, each row of resonators is optimized. Subsequently, individual resonators are tuned to explore the trade-off between design complexity and performance. The optimized metasurfaces are benchmarked against a conventional inverse metawedge with graded resonance frequencies and uniform mass. The algorithm yields a non-uniform mass distribution at the total mass limit, achieving enhanced vibration mitigation. The optimization is particularly beneficial in layered soil where the wave propagation pattern is more complex. The performance of both optimized designs is similar, indicating limited benefit from tuning individual resonators. The power-flow-based objective function is shown to be robust with respect to the position and size of the auxiliary plane.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"621 ","pages":"Article 119466"},"PeriodicalIF":4.9,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Achieving precise prediction of sound absorption performance for composite acoustic metamaterials utilizing machine learning 利用机器学习实现复合声学超材料吸声性能的精确预测
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-23 DOI: 10.1016/j.jsv.2025.119469
Nansha Gao , Jiacheng Guo , Mou Wang , Denghui Qin , Xiao Liang , Zhicheng Zhang , Guang Pan
{"title":"Achieving precise prediction of sound absorption performance for composite acoustic metamaterials utilizing machine learning","authors":"Nansha Gao ,&nbsp;Jiacheng Guo ,&nbsp;Mou Wang ,&nbsp;Denghui Qin ,&nbsp;Xiao Liang ,&nbsp;Zhicheng Zhang ,&nbsp;Guang Pan","doi":"10.1016/j.jsv.2025.119469","DOIUrl":"10.1016/j.jsv.2025.119469","url":null,"abstract":"<div><div>To facilitate rapid and precise estimation of the acoustic performance of composite structures, this paper employs Deep Neural Networks (DNNs) within the realm of machine learning to tailor the design based on three key characteristics of the sound absorption performance of composite acoustic metamaterials: the frequency and magnitude of the maximum absorption peak, and the average absorption coefficient. Initially, a database comprising 100,000 randomly generated absorption curves was established, with 90 % of the data allocated for training and the remaining 10 % for test named data subset A. Subsequently, the database subjected to five-fold cross validation demonstrated a considerable level of prediction accuracy on data subset A and various ranges of data subset B. Finally, this paper randomly selected 10 sets of three sound-absorption characteristic parameters and conducted inverse prediction of the 28 geometric parameters for the corresponding composite acoustic metamaterials, using a fixed data subset A for each parameter set. These predicted geometric parameters were then used to derive the predicted sound absorption characteristics for the ten sets. When compared to the given values, the results exhibited a maximum relative error of 4.110 %, a minimum of 0.000 %, with the majority of errors falling within 0.100 %. This demonstrates that the DNN model presented in this paper can achieve accurate and swift predictions of the primary acoustic characteristics of acoustic composite structures, offering direct benefits in reducing the development cycle and saving labor and time costs.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"620 ","pages":"Article 119469"},"PeriodicalIF":4.9,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characteristic impedance and energy transmission through generalized damped 1D monocouple metamaterial 广义阻尼一维单偶超材料的特性阻抗与能量传输
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-23 DOI: 10.1016/j.jsv.2025.119465
Arnab Banerjee , Kamal Krishna Bera
{"title":"Characteristic impedance and energy transmission through generalized damped 1D monocouple metamaterial","authors":"Arnab Banerjee ,&nbsp;Kamal Krishna Bera","doi":"10.1016/j.jsv.2025.119465","DOIUrl":"10.1016/j.jsv.2025.119465","url":null,"abstract":"<div><div>This study presents a comprehensive investigation of energy transmission in a generalized monocoupled one-dimensional metamaterial chain, termed the Inertial Amplifier Negative Mass Negative Stiffness (IANMNS) system, through both time-domain and frequency-domain analyses. While earlier studies have predominantly focused on frequency-domain responses of monoatomic or mass-in-mass chains, the present work extends the framework by incorporating time-domain energy transmission analysis to capture the full dynamics of wave propagation into the IANMNS system. The key novelties of this work are: (i) the introduction of damping into the impedance formulation, leading to a generalized impedance framework for damped discrete IANMNS systems, and (ii) a detailed characterization of energy distribution, i.e., kinetic, potential, and dissipative, within finite chains across both propagation and attenuation bands. The results demonstrate that in the attenuation band, energy is strongly localized and the transmission is suppressed by several orders of magnitude relative to the propagation band. Furthermore, the validity of the proposed impedance formulation is confirmed through spatiotemporal simulations, which illustrate the absence of spurious reflections at impedance-applied boundaries. Together, these contributions establish a rigorous and extended methodology for analyzing energy transmission in damped metamaterial systems, offering new insights for the design of advanced wave-control and vibration-suppression devices.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"620 ","pages":"Article 119465"},"PeriodicalIF":4.9,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Conformal Mikaelian lens for flexural wave self-focusing, bending, non-diffraction Talbot effects, vibration reduction and energy harvesting 共形米卡尔透镜用于弯曲波自聚焦、弯曲、无衍射塔尔博特效应、减振和能量收集
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-23 DOI: 10.1016/j.jsv.2025.119464
Zhaoyong Sun , Haoran Xu , Yanping Du , Chunlin Li , Yongquan Liu , Liuxian Zhao , Jun Yang
{"title":"Conformal Mikaelian lens for flexural wave self-focusing, bending, non-diffraction Talbot effects, vibration reduction and energy harvesting","authors":"Zhaoyong Sun ,&nbsp;Haoran Xu ,&nbsp;Yanping Du ,&nbsp;Chunlin Li ,&nbsp;Yongquan Liu ,&nbsp;Liuxian Zhao ,&nbsp;Jun Yang","doi":"10.1016/j.jsv.2025.119464","DOIUrl":"10.1016/j.jsv.2025.119464","url":null,"abstract":"<div><div>In this study, we employ conformal transformation methodology to design an arc-shaped flexural Mikaelian lens — hereafter termed the Conformal Mikaelian Lens (CML). The lens’s graded refractive index profile is engineered through coordinate transformation of conventional Mikaelian lens parameters into polar space. Beyond geometric transformation, we interpret the CML as an effective Riemannian space and analyze wave propagation along geodesic trajectories, which enables broadband conformal self-focusing and controllable wavefront bending. Numerical simulations and experimental results consistently demonstrate that the lens supports broadband flexural wave self-focusing and stable wavefront bending. Within this framework, we discover a conformal Talbot effect, in which periodic wavefronts exhibit shifted and non-uniformly scaled self-images due to curvature-induced metric distortion. Furthermore, leveraging the lens’s intrinsic self-focusing effect, the CML enables broadband vibration suppression and efficient energy harvesting, as confirmed by experimental results. This work establishes a theoretical and experimental foundation for multifunctional applications such as wave steering, sensing, energy conversion, and vibration control in curved flexural systems.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"621 ","pages":"Article 119464"},"PeriodicalIF":4.9,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Near field phased array model of injector system scattering in annular combustors 环形燃烧室喷油器系统散射的近场相控阵模型
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-20 DOI: 10.1016/j.jsv.2025.119455
Nicholas Mignano, Vishal Acharya, Timothy Lieuwen
{"title":"Near field phased array model of injector system scattering in annular combustors","authors":"Nicholas Mignano,&nbsp;Vishal Acharya,&nbsp;Timothy Lieuwen","doi":"10.1016/j.jsv.2025.119455","DOIUrl":"10.1016/j.jsv.2025.119455","url":null,"abstract":"<div><div>A common geometry used in energy and propulsion systems is a circular or annular duct with periodic arrays of discrete injectors. Full three dimensional modeling of the wave dynamics of these systems is computationally expensive. Moreover, in many cases, it is the features of the wave field, such as dominant wave propagation directions, that are of primary interest. This paper presents a reduced order model for such complex geometries focused on capturing these dominant wave features, utilizing a near-field, phased array model. A spinning disturbance interacting with a periodic injector array leads to scattered waves generated at each injector. These scattered waves have regular and discrete phase differences, analogous to acoustic phased arrays, and lead to dominant wave scattering in preferential directions. Net azimuthal flow of the gas also influences this dominant scattering direction through convection. This paper maps out the dependence of wave scattering directions, particularly forward and backward scattering, upon number of injectors, wave speed, flow Mach number, and number of waves.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"620 ","pages":"Article 119455"},"PeriodicalIF":4.9,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Large deflection model for nonlinear modal dynamics in functionally graded multi-thick-disk shaft with gradation variations and porosity imperfections 考虑梯度变化和孔隙度缺陷的功能梯度多厚盘轴非线性模态动力学大挠度模型
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-19 DOI: 10.1016/j.jsv.2025.119406
Devavrit Maharshi , Barun Pratiher , Michael I. Friswell
{"title":"Large deflection model for nonlinear modal dynamics in functionally graded multi-thick-disk shaft with gradation variations and porosity imperfections","authors":"Devavrit Maharshi ,&nbsp;Barun Pratiher ,&nbsp;Michael I. Friswell","doi":"10.1016/j.jsv.2025.119406","DOIUrl":"10.1016/j.jsv.2025.119406","url":null,"abstract":"<div><div>This study presents an in-depth investigation into the nonlinear free vibration behavior of highly deformable multi-disk shaft systems composed of functionally graded materials with porosity imperfection. The analysis incorporates rotary inertia, gyroscopic coupling, disk thickness, and axial restraint effects to accurately capture the system’s complex dynamics. Closed-form expressions for both linear and nonlinear resonance frequencies are derived using the method of multiple scales and validated through finite element method simulations and numerical analyses. Time histories, Campbell diagrams, fast Fourier transforms, and Poincaré maps highlight the significant influence of material gradation and porosity on dynamic behavior. Nonlinear resonance frequencies exceed their linear counterparts and are highly sensitive to initial conditions, porosity levels, and multiporous functionally graded disks. Variations in gradient indices and porosity imperfections significantly affect stiffness, mass distribution, and modal parameters. Increasing the grading index lowers nonlinear resonance frequencies, with non-uniform grading accelerating this shift, while radial and localized porosity imperfections further reduce resonance frequencies and alter their trends. Replacing a thin disk with a thick disk significantly modifies system stiffness and modal properties, strengthening gyroscopic effects and lowering critical speeds. These findings emphasize the need for accurate nonlinear modeling of a shaft with multiple rigid disks, along with material gradation and porosity imperfections, to improve the dynamic performance and reliability of high-speed rotating machinery.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"620 ","pages":"Article 119406"},"PeriodicalIF":4.9,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145109410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stochastic parameter identification using an augmented Subset Simulation method 基于增强子集仿真方法的随机参数辨识
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-19 DOI: 10.1016/j.jsv.2025.119460
B. Goller, T. Furtmüller, C. Adam
{"title":"Stochastic parameter identification using an augmented Subset Simulation method","authors":"B. Goller,&nbsp;T. Furtmüller,&nbsp;C. Adam","doi":"10.1016/j.jsv.2025.119460","DOIUrl":"10.1016/j.jsv.2025.119460","url":null,"abstract":"<div><div>In this contribution, a method for parameter estimation based on the idea of Subset Simulation is presented, originally developed for reliability analysis and recently adopted for Bayesian model updating. An analogy between model updating and reliability problems is obtained by formulating the former in such a way that samples of the posterior distribution are interpreted as failure samples of the latter. In the case of high-dimensional problems with multiple uncertain parameters to be estimated, the evaluation of the full posterior distribution may not be feasible due to computational hurdles. In addition, when model updating is performed based on experimental field data (as opposed to virtual experiments), the solution is usually not unique. A novel approach is presented that addresses these challenges in a two-step procedure, where Subset Simulation is employed to identify the most probable point, and additional Markov chains are used to find possible additional solutions in regions not explored by Subset Simulation in the sparsely populated simulation space. It should be emphasized that the current approach does not explore the full posterior probability density function, but focuses on determining the identification of solution points (or solution regions, respectively) that satisfy certain quality criteria, which is typically required in an industrial context. Case studies integrating parallel computing demonstrate the framework’s ability to efficiently determine the unknown parameters based on experimentally obtained frequency response functions.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"621 ","pages":"Article 119460"},"PeriodicalIF":4.9,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145119452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamical integrity of synchronous motion for self-synchronizing vibrating screens with two unbalanced exciting rotors 双不平衡激振转子自同步振动筛同步运动的动力学完整性
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-18 DOI: 10.1016/j.jsv.2025.119459
Márton Szabó, Ákos Miklós, Giuseppe Habib
{"title":"Dynamical integrity of synchronous motion for self-synchronizing vibrating screens with two unbalanced exciting rotors","authors":"Márton Szabó,&nbsp;Ákos Miklós,&nbsp;Giuseppe Habib","doi":"10.1016/j.jsv.2025.119459","DOIUrl":"10.1016/j.jsv.2025.119459","url":null,"abstract":"<div><div>This paper investigates the robustness of self-synchronizing vibratory screens against driving torque differences between the rotors. Synchronous solutions of the mechanical system, which encompasses either a DC motor or an induction motor drive, are first obtained analytically through the averaging method, together with their linear stability properties. Then, numerical validation through direct time integrations confirmed the analytical results. The results indicate that for both motor types, there exists a parameter region, defined in terms of supplied voltages, where a stable synchronous state and a stable non-synchronous state coexist. The analysis of the dynamical integrity of the two types of motions revealed that, for both drives, in regions where synchronized motion is not globally stable, the dynamical integrity of the synchronous motion is relatively low, posing a risk to reliable operation.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"620 ","pages":"Article 119459"},"PeriodicalIF":4.9,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145097150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exact longitudinal and torsional traveling-wave solutions to infinite, semi-infinite, and finite nonuniform functionally-graded elementary rods 精确的纵向和扭转行波解的无限,半无限,和有限的非均匀功能梯度基本杆
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-09-18 DOI: 10.1016/j.jsv.2025.119458
Afonso W. Nunes , Stylianos Dimas , Samuel da Silva
{"title":"Exact longitudinal and torsional traveling-wave solutions to infinite, semi-infinite, and finite nonuniform functionally-graded elementary rods","authors":"Afonso W. Nunes ,&nbsp;Stylianos Dimas ,&nbsp;Samuel da Silva","doi":"10.1016/j.jsv.2025.119458","DOIUrl":"10.1016/j.jsv.2025.119458","url":null,"abstract":"<div><div>Structures with unconventional designs and material configurations have gained significant attention in modern structural and acoustic fields due to their capabilities for manipulating waves. The mathematical complexity arising from their modeling often restricts the scope of analytical studies, leading to a reliance on numerical and experimental methods that compromise assessing immediate dynamic aspects. To address the analytical challenges, this work uses symmetry methods to provide exact solutions for rods with nonuniform geometries made of functionally-graded materials and modeled according to the elementary rod theory for slender structures undergoing longitudinal or torsional vibrations. Solutions originate from classification via equivalence transformations, aided by nonlocal transformations, which rewrite initial and boundary value problems for the rod’s elastodynamics equation as equivalent ones for a constant-coefficient wave equation. The equivalent problem allows for expressing exact solutions in terms of traveling waves, but restricts the extent of suitable geometric and material parameters. Corresponding inverse transformations map the wave solutions from the equivalent problem into the rod’s elastodynamics problem, making it adequate for many infinite, semi-infinite, and finite rods. Examples illustrate the obtained solution for semi-infinite and finite rods with fixed and free boundaries.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"621 ","pages":"Article 119458"},"PeriodicalIF":4.9,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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