Journal of Sound and Vibration最新文献

筛选
英文 中文
The N-beam approach to describe arbitrary shaped acoustical fields 描述任意形状声场的n束方法
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-08-05 DOI: 10.1016/j.jsv.2025.119355
Gérard Gouesbet , Leonardo A. Ambrosio
{"title":"The N-beam approach to describe arbitrary shaped acoustical fields","authors":"Gérard Gouesbet ,&nbsp;Leonardo A. Ambrosio","doi":"10.1016/j.jsv.2025.119355","DOIUrl":"10.1016/j.jsv.2025.119355","url":null,"abstract":"<div><div>Laser scattering using analytical or semi-analytical theories may rely on the use of beam shape coefficients (BSCs) to encode the description of the incident illuminating electromagnetic fields. Similarly, acoustical BSCs may be introduced to describe an acoustical field incident on a scattering object. An approach called the <span><math><mi>N</mi></math></span>-neam approach has been used to justify a localization method to evaluate electromagnetic BSCs. In the electromagnetic framework, this <span><math><mi>N</mi></math></span>-beam approach has been introduced in a very concise way, due to difficulties associated with the use of Maxwell’s equations. The present paper presents the <span><math><mi>N</mi></math></span>-beam approach for acoustical fields which satisfy Helmholtz equation. Due to the fact that the Helmholtz equation is significantly more tractable analytically and numerically compared to the full set of Maxwell’s equations, the presentation of the <span><math><mi>N</mi></math></span>-beam method in an acoustical framework can be introduced in a more complete way than in the electromagnetic framework. Furthermore, this approach yields an expression for acoustic fields using expansions that serve as alternatives to the classical spherical wave function expansions – alternatives that have proven invaluable in the electromagnetic context and are, therefore, expected to be similarly beneficial in acoustics.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119355"},"PeriodicalIF":4.9,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144781267","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
On sound absorption mechanisms in relation to sub-wavelength and absorption bandwidth using mass-spring-damping model 用质量-弹簧-阻尼模型研究与亚波长和吸收带宽有关的吸声机理
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-31 DOI: 10.1016/j.jsv.2025.119349
Chao Shen , Yu Liu
{"title":"On sound absorption mechanisms in relation to sub-wavelength and absorption bandwidth using mass-spring-damping model","authors":"Chao Shen ,&nbsp;Yu Liu","doi":"10.1016/j.jsv.2025.119349","DOIUrl":"10.1016/j.jsv.2025.119349","url":null,"abstract":"<div><div>This study proposes a new approach based on equivalent mass–spring-damping parameters within a resonator framework, and introduces an index of ‘half-absorption bandwidth’. Four practical cases are then presented to correct prevalent misleading conceptions about low-frequency, broadband absorption as claimed. The disappearance of the mass term in the expression for the sound absorption coefficient reinforces the conclusion that volume is the key factor in sound absorption performance. This is because the mass and damping terms are governed by the neck, which is relatively small and easily achievable compared to the volume constraint. Any effort to enhance sound absorption purely through geometric optimization and parallel configuration will inevitably come at the cost of reducing the half-absorption bandwidth. Additionally, the notion of negative stiffness or bulk modulus in the frequency domain is simply a mathematical representation and does not inherently enhance absorption performance unless integrated with other bistable structures, such as magnetic or snap-through mechanisms. Overall, this research focuses on the physical mechanism of sound-absorbing structures, and offers a comprehensive framework for assessing and enhancing sound absorption.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119349"},"PeriodicalIF":4.9,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144781006","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
Optimisation and performance comparison of direct and parametric piezoelectric energy harvester with geometrical nonlinearities 具有几何非线性的直接和参数压电能量采集器的优化与性能比较
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-29 DOI: 10.1016/j.jsv.2025.119343
Hugo Fayolle , Christophe Giraud-Audine , Olivier Thomas
{"title":"Optimisation and performance comparison of direct and parametric piezoelectric energy harvester with geometrical nonlinearities","authors":"Hugo Fayolle ,&nbsp;Christophe Giraud-Audine ,&nbsp;Olivier Thomas","doi":"10.1016/j.jsv.2025.119343","DOIUrl":"10.1016/j.jsv.2025.119343","url":null,"abstract":"<div><div>The behaviour and performance of a flexible beam piezoelectric energy harvester (PEH) in direct and parametric excitation, including the effect of geometrical nonlinearities, are addressed in this paper. First, the electromechanical modelling of the harvester is addressed. A Timoshenko geometrically exact model of a laminated piezoelectric beam in large rotation, including parametric excitation, is proposed, extending previous results of the literature. Then, considering cantilever boundary conditions, it is simplified under Euler–Bernoulli, inextensible assumptions and third order Taylor expansion, suitable for modal expansion. Two perturbation methods are tested to compute vibratory response under direct and parametric excitations. They are both found inaccurate for large amplitude oscillations, leading to a preference for numerical solving by continuation of periodic solutions. PEH behaviours and performances are finally carefully estimated regarding the optimal harvested power in a shunted resistor at resonance. Comparisons between direct and parametric forcing are proposed and the effect of geometrical nonlinearities is estimated. An interesting result is that the harvested power under parametric excitation cannot compete with the one under direct excitation.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"619 ","pages":"Article 119343"},"PeriodicalIF":4.9,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144863350","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
On the relevant nonlinearities in digital force control: Continuous versus discrete sources 关于数字力控制中的相关非线性:连续源与离散源
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-27 DOI: 10.1016/j.jsv.2025.119344
Rudolf R. Toth, Gabor Stepan
{"title":"On the relevant nonlinearities in digital force control: Continuous versus discrete sources","authors":"Rudolf R. Toth,&nbsp;Gabor Stepan","doi":"10.1016/j.jsv.2025.119344","DOIUrl":"10.1016/j.jsv.2025.119344","url":null,"abstract":"<div><div>In this paper a digital force control model is studied with both discrete and continuous nonlinearities. The discrete nonlinearity is caused by actuator saturation, while the continuous nonlinearity is a consequence of the stiffness characteristics. The effect of these nonlinearities on the resulting Neimark–Sacker bifurcations is determined analytically. The bifurcation calculation with continuous nonlinearities is carried out by means of a novel approach and the results are used to asses the relevant nonlinearities in digitally controlled systems.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119344"},"PeriodicalIF":4.9,"publicationDate":"2025-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144748592","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
Spatial-temporal evolution prediction of train-induced settlement in railway transition zone using a simplified iterative framework 基于简化迭代框架的铁路过渡区列车沉降时空演化预测
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-27 DOI: 10.1016/j.jsv.2025.119360
Borong Peng , Karel N. Van Dalen , Zheng Li , Sakdirat Kaewunruen , Lei Xu , Jim Shiau , Tao Lu
{"title":"Spatial-temporal evolution prediction of train-induced settlement in railway transition zone using a simplified iterative framework","authors":"Borong Peng ,&nbsp;Karel N. Van Dalen ,&nbsp;Zheng Li ,&nbsp;Sakdirat Kaewunruen ,&nbsp;Lei Xu ,&nbsp;Jim Shiau ,&nbsp;Tao Lu","doi":"10.1016/j.jsv.2025.119360","DOIUrl":"10.1016/j.jsv.2025.119360","url":null,"abstract":"<div><div>Accurate prediction of train-induced settlement in railway transition zones is of paramount importance for ensuring the safety and serviceability of high-speed railway (HSR) infrastructure. The inherent complexity of mechanical properties and settlement distribution in these zones stems from the significant stiffness variation between different track structures. This study presents a novel iterative framework for long-term settlement prediction specifically tailored to ballastless track transition zones of HSR systems. The framework couples a dynamic Train-Track-Transition Zone (TTTZ) model with a plastic strain prediction model for soil, enhanced by a jump-step iterative algorithm that improves computational efficiency while maintaining accuracy. The model's validity has been verified through comprehensive comparisons with in-situ measurements and existing analytical solutions. Numerical results demonstrate that the iterative updating of track irregularities is crucial for accurate settlement prediction, as it accounts for the time-dependent dynamic characteristics of the TTTZ system. Furthermore, a wavelet transform-short energy method is developed to identify high-density vibration energy distributions in the spatial domain, establishing a robust correlation between dynamic responses and settlement evolution. This study underscores the importance of iterative modeling and advanced time-frequency analysis in settlement prediction and track quality assessment, offering valuable insights for the design, maintenance, and evaluation of HSR transition zones.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"619 ","pages":"Article 119360"},"PeriodicalIF":4.9,"publicationDate":"2025-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144879183","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
Acoustic scattering by elliptical elastic shells: Exact formalism and physical interpretation 椭圆弹壳的声散射:精确的形式和物理解释
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-26 DOI: 10.1016/j.jsv.2025.119341
Stéphane Ancey, Paul Gabrielli, Michaël Mercier
{"title":"Acoustic scattering by elliptical elastic shells: Exact formalism and physical interpretation","authors":"Stéphane Ancey,&nbsp;Paul Gabrielli,&nbsp;Michaël Mercier","doi":"10.1016/j.jsv.2025.119341","DOIUrl":"10.1016/j.jsv.2025.119341","url":null,"abstract":"<div><div>The acoustic scattering by an elastic cylindrical shell of elliptical cross-section with various eccentricities is treated by emphasising its symmetry properties. The elliptical shell remains invariant according to four symmetry transformations of the finite group denoted <span><math><msub><mrow><mi>C</mi></mrow><mrow><mn>2</mn><mi>v</mi></mrow></msub></math></span>. Four one-dimensional irreducible representations called <span><math><msub><mrow><mi>A</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>, <span><math><msub><mrow><mi>A</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>, <span><math><msub><mrow><mi>B</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>B</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> are associated with this symmetry group. The incident wave, the unknown scattered pressure and the elastic displacement are expanded over these four representations. The implementation of the boundary conditions leads to solving four matrix equations systems, each associated with an irreducible representation. The unknown scattering coefficients are decoupled owing to symmetry considerations, which considerably simplifies the problem. The resonances characteristic equations are established and provide a physical interpretation in relation to the symmetries of the scatterer. All the physical quantities of interest, such as the scattered pressure, the far-field form function and the elastic displacement, are obtained in exact form. Thus, the problem of scattering by an elastic shell composed of two ellipses of various eccentricities is completely solved. Numerical results are provided for various elliptical shell configurations and physical interpretation is given. Our method could also be generalised to scattering by multilayered shells.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119341"},"PeriodicalIF":4.9,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144724672","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
3D-printed fiber-steered acoustic black hole beam for enhanced damping in low-frequency range 用于增强低频阻尼的3d打印光纤导向声学黑洞光束
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-26 DOI: 10.1016/j.jsv.2025.119362
Koichi Mizukami , Haruto Shirai , Yusei Hiraki , Kaishi Itashiki , Keiji Ogi
{"title":"3D-printed fiber-steered acoustic black hole beam for enhanced damping in low-frequency range","authors":"Koichi Mizukami ,&nbsp;Haruto Shirai ,&nbsp;Yusei Hiraki ,&nbsp;Kaishi Itashiki ,&nbsp;Keiji Ogi","doi":"10.1016/j.jsv.2025.119362","DOIUrl":"10.1016/j.jsv.2025.119362","url":null,"abstract":"<div><div>Acoustic black hole (ABH) beams are thin-walled tapered structures that mitigate resonance peaks above the cut-on frequency. An ABH beam with circular carbon-fiber paths in the wedge is proposed to overcome the trade-off between the low cut-on frequency and high specific stiffness of the host structure. The carbon fibers in the proposed structure were steered such that the axial Young’s modulus continuously decreased toward the taper tip. The viscoelastic properties of the carbon fiber-reinforced plastic (CFRP) and added damping layer were determined from tensile tests and dynamic mechanical analysis tests. The impedance matrix method was used to calculate and compare the reflection coefficients of three CFRP beams: circular fiber ABH, unidirectional fiber ABH, and uniform beams. The effects of design parameters of the circular fiber ABH wedge on the reflection coefficient were identified. Finite element analysis was performed to obtain the frequency response functions and modal loss factors of the three CFRP beams. The circular fiber ABH beam exhibited a lower cut-on frequency and higher modal loss factors than the unidirectional fiber ABH beam with the same dimensions. Steering carbon fibers not only reduced the cut-on frequency but also enhanced the wave-retardation effect and loss factor in the ABH wedge while maintaining a high host structure stiffness. The combination of a soft wedge for a low cut-on frequency and a stiff host structure also enabled damping enhancement for all resonance peaks. The excellent vibration-damping performance of the circular fiber ABH beam was validated via hammering tests on 3D-printed CFRP samples.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119362"},"PeriodicalIF":4.9,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144757500","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
Temperature-induced vibration instability in a non-spinning vertical rotor supported by active magnetic bearings—Theory and experiment 主动磁轴承支撑的非旋转立式转子温度激振失稳——理论与实验
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-25 DOI: 10.1016/j.jsv.2025.119339
Bruno Rende, Bjarke B. Sørensen, Ilmar F. Santos
{"title":"Temperature-induced vibration instability in a non-spinning vertical rotor supported by active magnetic bearings—Theory and experiment","authors":"Bruno Rende,&nbsp;Bjarke B. Sørensen,&nbsp;Ilmar F. Santos","doi":"10.1016/j.jsv.2025.119339","DOIUrl":"10.1016/j.jsv.2025.119339","url":null,"abstract":"<div><div>This work gives an original theoretical and experimental contribution to the problem of axial vibration instabilities of vertical rotors levitated by active magnetic thrust bearings (AMB) due to thermal effects until the complete loss of axial load capacity. A mathematical model combining rotordynamics, electromagnetism, thermal effects, and control theory is derived and simultaneously solved. The rotor equation of motion is obtained using Newton’s second law, the AMB coils are modeled by Ohm’s, Ampere’s, and Faraday’s laws. The temperature distribution within the AMBs is obtained accounting for heat convection and conduction and the temperature-dependence of AMB coils resistance. The set of non-linear equations is linearized around the operational point and used to predict the characteristics of the rotor’s axial vibration instability induced by thermal effects, and the instant it occurs.</div><div>A test rig consisting of a vertical non spinning rotor supported axially by one AMB and radially by two passive magnetic bearings is designed to experimentally investigate the thermal effects without achieving extremely high temperatures, at the expense of relatively large axial clearances compared to industrial applications. For large clearances and moderate temperatures, component expansion and variation in magnetic permeability turn negligible. The AMB is heated with hot air blown by heat guns under a well-controlled process monitored by temperature sensors.</div><div>Theoretical and experimental results indicate that when the upper electromagnet temperature reaches approximately 50 °C, the original PID controller is not capable of supporting the rotor, leading to axial vibration instability. Solutions for re-levitation and stabilization are addressed.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119339"},"PeriodicalIF":4.9,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144781008","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
Application of reciprocal condition number in vibration analysis 互易条件数在振动分析中的应用
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-25 DOI: 10.1016/j.jsv.2025.119342
Goranka Štimac Rončević, Ante Skoblar, Sanjin Braut, Roberto Žigulić
{"title":"Application of reciprocal condition number in vibration analysis","authors":"Goranka Štimac Rončević,&nbsp;Ante Skoblar,&nbsp;Sanjin Braut,&nbsp;Roberto Žigulić","doi":"10.1016/j.jsv.2025.119342","DOIUrl":"10.1016/j.jsv.2025.119342","url":null,"abstract":"<div><div>This paper explores the use of the reciprocal condition number (<em>rcond</em>) in vibration analysis. The method employs the reciprocal of the matrix condition number in 1-norm for efficient calculation of natural frequencies, avoiding the need to solve complex frequency equations that involve transcendental functions. Natural frequencies are shown to correspond to the zero values of the reciprocal condition number, which forms the basis of the procedure for identifying the minima of the discretized rcond function and verifying whether they correspond to natural frequencies, enabling flexible application in the eigenvalue analysis of various structures. To validate this generally applicable approach, the study examines a case involving beams with arbitrary number of cross-section steps, general boundary conditions and various lumped elements, including viscous dampers. By assembling the dynamic stiffness matrix, natural frequencies can be calculated using both the proposed reciprocal condition number approach and the well-established Wittrick-Williams algorithm. A comparative analysis is carried out to evaluate the effectiveness and accuracy of the proposed method. Numerical tests confirm its ability to solve transcendental eigenvalue problems of large matrix systems effectively, showing strong consistency with previous studies and alignment with finite element method results. This establishes the method as a valuable tool for engineering design and structural analysis.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119342"},"PeriodicalIF":4.9,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144724978","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
Modal approaches for linear and nonlinear dynamical systems with non-classical damping 具有非经典阻尼的线性和非线性动力系统的模态方法
IF 4.9 2区 工程技术
Journal of Sound and Vibration Pub Date : 2025-07-25 DOI: 10.1016/j.jsv.2025.119352
Filipe Soares , Christophe Vergez , Vincent Freour , Bruno Cochelin
{"title":"Modal approaches for linear and nonlinear dynamical systems with non-classical damping","authors":"Filipe Soares ,&nbsp;Christophe Vergez ,&nbsp;Vincent Freour ,&nbsp;Bruno Cochelin","doi":"10.1016/j.jsv.2025.119352","DOIUrl":"10.1016/j.jsv.2025.119352","url":null,"abstract":"<div><div>Dynamical systems with non-classical damping appear frequently in engineering practice, be that in flexible structures with localized dampers, acoustic waveguides with radiating boundaries or any other system with unevenly distributed dissipation mechanisms. In this work, the use of different modal approaches to study dynamical systems with non-classical damping is explored. Focus is given on how different modal basis can be used to treat non-classically damped problems that also contain nonlinear terms. The aim of this paper is twofold: (1) provide a comprehensive review of the main modal approaches enabling the decoupling of non-classically damped linear problems and (2) illustrate how these methods can be used to treat nonlinear problems via tensor formulations stemming from modal projection. Three different methods are investigated, namely: the well-established approach using the modes of the associated conservative system (real normal modes); the complex modal approach which decouples damped linear systems in state-space; and a more recent approach named phase synchronization, which uses a real, time-varying transformation. Firstly, a review of the three methods is presented for both discrete and continuous systems, in linearized contexts. Subsequently, the treatment of nonlinear terms and the calculation of the associated tensors is detailed for each case. The benefits and limitations of each approach are discussed with respect to particular target applications. Finally, to clarify the associated procedures , an illustrative example is presented involving a nonlinear waveguide with a resistive boundary. Additionally, to give the interested reader a basis for implementation, Matlab codes for solving both discrete and continuous systems using all three approaches are provided.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119352"},"PeriodicalIF":4.9,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144772137","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
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信