{"title":"Analytical formulae for design of one-dimensional sonic crystals with smooth geometry based on symbolic regression","authors":"Viktor Hruška, Aneta Furmanová, Michal Bednařík","doi":"10.1016/j.jsv.2024.118821","DOIUrl":"10.1016/j.jsv.2024.118821","url":null,"abstract":"<div><div>Even though locally periodic structures have been studied for more than three decades, the known analytical expressions relating the waveguide geometry and the acoustic transmission are limited to a few special cases. Having an access to numerical model is a great opportunity for data-driven discovery. Our choice of cubic splines to parametrize the waveguide unit cell geometry offers enough variability for waveguide design. Using Webster equation for unit cell and Floquet–Bloch theory for periodic structures, a dataset of numerical solutions was prepared. Employing the methods of physics-informed machine learning, we have extracted analytical formulae relating the waveguide geometry and the corresponding dispersion relation or directly the bandgap widths. The results contribute to the overall readability of the system and enable a deeper understanding of the underlying principles. Specifically, it allows for assessing the influence of the waveguide geometry, offering more efficient alternative to computationally demanding numerical optimization.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118821"},"PeriodicalIF":4.3,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650775","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}
{"title":"A displacement formulation for coupled elastoacoustic problems that preserves flow irrotationality","authors":"Jie Deng , Oriol Guasch , Laurent Maxit","doi":"10.1016/j.jsv.2024.118815","DOIUrl":"10.1016/j.jsv.2024.118815","url":null,"abstract":"<div><div>Two-way fluid–structure interaction (FSI) problems, in the sense that a flow induces the motion of a solid, which in turn modifies the flow boundary conditions, have been approached with very different strategies, the most common of which is probably the finite element method (FEM). In the case of elastoacoustics, the flow consists of an acoustic field interacting with a vibrating structure. When the problem is discretized with the FEM, an algebraic block matrix system is obtained and the coupling between the acoustic field and the structure takes place through a coupling matrix with off-diagonal terms. Usually the structure is characterized by its displacement field, while for the acoustics several options are available, ranging from pressure to acoustic displacement or velocity/displacement acoustic potentials. Depending on the formulation, symmetric or asymmetric systems are obtained and different types of numerical stability problems have to be faced. In this work, a monolithic strategy based on the Rayleigh–Ritz method is proposed. The displacement is used as the primary variable for both the structure and the acoustic field and is expanded in terms of Gaussians as basis functions. This provides an algebraic block matrix system for the global uncoupled problem. However, instead of resorting to a coupling matrix, the essential continuity conditions at the acoustic-structure interface are imposed by the nullspace method (NSM). That is, the solution of the uncoupled system is expanded in terms of a basis of the nullspace generated by the essential conditions of the problem, including the displacement continuity constraints at the interface, thus giving the solution of the coupled problem. As for natural conditions, they are imposed in a weak sense. For ease of explanation, a one-dimensional (1D) case is first introduced, followed by the coupling of a 2D acoustic cavity with a beam and a 3D one with a plate. The proposed method is validated with FEM simulations on fine meshes and the advantage of using Gaussian basis functions over trigonometric ones is also demonstrated.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118815"},"PeriodicalIF":4.3,"publicationDate":"2024-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650777","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}
Vinay Yadav Janga , Pranath Kumar Gourishetty , Biagio Carboni , Giuseppe Quaranta , Walter Lacarbonara
{"title":"Hysteretic tuned mass damper with bumpers for seismic protection: Modeling, identification, and shaking table tests","authors":"Vinay Yadav Janga , Pranath Kumar Gourishetty , Biagio Carboni , Giuseppe Quaranta , Walter Lacarbonara","doi":"10.1016/j.jsv.2024.118816","DOIUrl":"10.1016/j.jsv.2024.118816","url":null,"abstract":"<div><div>A nonlinear tuned mass damper (TMD) is proposed for seismic retrofitting of buildings. The TMD consists of steel wire ropes that, on one end, are fixed to an oscillating mass, on the other end, they are connected to the main structure by means of a special clamping system based on a double sliding mechanism. The device is equipped with bumpers that provide an additional source of energy dissipation. Experimental dynamic tests aimed to investigate the TMD nonlinear response are discussed. The experimental results unfolding a peculiar pinched hysteretic behavior with almost zero stiffness around the origin are accurately simulated according to a novel phenomenological model. Several shaking table tests are conducted on a laboratory-scale building prototype equipped with the proposed device on the top floor. A comparison between experimental results from shaking table tests and those obtained from numerical simulations is documented to demonstrate the robustness of the proposed nonlinear TMD performance and the accuracy of the numerical model driving its optimization. A critical analysis is also performed taking into account experimental results available in the literature based on shaking table tests conducted on different vibration control devices.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118816"},"PeriodicalIF":4.3,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Parameter optimization of tuned inerter damper for vibration suppression in structures with damping","authors":"Shaowei Tong , Jinming Zeng , Zhizhi Miao , Guo Chen","doi":"10.1016/j.jsv.2024.118827","DOIUrl":"10.1016/j.jsv.2024.118827","url":null,"abstract":"<div><div>This study investigates the parameter optimization of tuned inerter damper (TID) in a single degree of freedom (SDOF) system, with a focus on vibration mitigation. As a type of inerter based dynamic vibration absorber (IDVA), TID achieves vibration suppression of the primary structure by replacing the mass block in traditional dynamic vibration absorber (DVA) with an inerter, thereby minimizing the increase in physical mass. With the displacement response of the primary structure as the objective function, this study first employs the classical fixed point theory (FPT) to derive the analytical formulations for the optimal parameters of TID following the <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> optimization approach and neglecting the inherent damping of primary structure. The influence of optimal parameter deviations on the vibration mitigation effect of TID is also analyzed, revealing that the deviation of the optimal natural frequency ratio has a significant impact on the vibration mitigation performance. By flattening the amplitude curve of the displacement transfer function of primary structure between the fixed points, this study derives the analytical solution for the optimal damping ratio of TID using the extended fixed point theory (EFPT). When the inherent damping of primary structure is considered, this study employs the approximate extended fixed point theory (AEFPT) to derive the approximate optimal parameters of TID. A comparative study of the optimal natural frequency ratios obtained using FPT, AEFPT and numerical searches reveals that the discrepancies among the three methods are minimal for structures with low inherent damping. However, as the inherent damping ratio of the primary structure increases, the optimal natural frequency ratio obtained using FPT deviates significantly from the exact value, whereas the approximate optimal natural frequency ratio derived using AEFPT can significantly reduce this deviation. Combining the conclusion that the vibration mitigation effect of TID is significantly influenced by the natural frequency ratio, this study suggests that for highly damped primary structures, the use of AEFPT can yield more optimal TID parameters, thereby enhancing the robustness of vibration mitigation performance.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118827"},"PeriodicalIF":4.3,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655257","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}
{"title":"A nonlinear dual-mode active vibration controller for hardening systems and its experimental application to a beam","authors":"Celia Hameury , Giovanni Ferrari , Marco Amabili","doi":"10.1016/j.jsv.2024.118823","DOIUrl":"10.1016/j.jsv.2024.118823","url":null,"abstract":"<div><div>The control of nonlinear vibrations, such as those arising from geometric nonlinearities and large amplitude, has often been limited to the first natural mode. In this work, a novel nonlinear dual-mode multiple-input multiple-output (MIMO) positive position feedback (PPF) controller is presented and tested experimentally on a clamped composite sandwich beam subject to a stepped-sine-excitation with increasing force excitation levels in the frequency neighbourhood of the first and second natural frequencies. This nonlinear controller contains two linear PPF controllers, targeting the first and second natural frequencies, each one augmented with a cubic term designed to counter the hardening behaviour of the test structure. Control parameters were chosen by optimizing the vibration reduction observed at low excitation amplitudes. The nonlinear dual-mode MIMO controller was compared to a single-input single-output version, and to a linear version in which the cubic terms were removed. The nonlinear dual-mode MIMO was shown to outperform both. A linear dual-mode MIMO controller was compared to two linear single-mode MIMO controllers, targeting the first and second mode respectively, and was found to outperform both when applied to the first mode. The effect of varying the nonlinear cubic term of the nonlinear dual-mode MIMO controller was also investigated, indicating better vibration reduction for higher cubic terms, up to some values. Overall, this study shows that a nonlinear dual-mode MIMO PPF controller is the preferred option for controlling the first two modes of the beam under study.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118823"},"PeriodicalIF":4.3,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650881","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}
{"title":"Damage identification of mono-coupled periodic structures based on driving-point anti-resonance frequency and sensitivity analysis","authors":"Hongping Zhu, Ying Zhang, Shun Weng","doi":"10.1016/j.jsv.2024.118819","DOIUrl":"10.1016/j.jsv.2024.118819","url":null,"abstract":"<div><div>Anti-resonance frequencies are advantageous for structural damage identification because they are sensitive to local damage and can be easily measured. Sensitivity-based methods for identifying damage rely on the precision of the structural analytical model, which is typically difficult to achieve. Therefore, a damage-identification method that requires only anti-resonance frequencies without any detailed information regarding the model is appealing. This study presents a method for damage identification in periodic structures based on driving-point anti-resonance frequency and sensitivity analysis. The relative sensitivity of the anti-resonance frequency to individual elemental parameters is derived. This sensitivity is related only to the total number of periodic elements, element location, and driving-point location, and is not affected by the specific geometric or physical parameters of the structure. The proposed method was applied to a periodic mass–spring system and a multistory frame for damage identification. Accurate damage identification can be achieved by utilizing driving-point anti-resonance frequencies.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118819"},"PeriodicalIF":4.3,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655261","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}
Ndubuisi Uchendu, Jennifer M. Muggleton, Paul R. White
{"title":"Assessing the quality of the time delay estimate in acoustic leak localisation","authors":"Ndubuisi Uchendu, Jennifer M. Muggleton, Paul R. White","doi":"10.1016/j.jsv.2024.118811","DOIUrl":"10.1016/j.jsv.2024.118811","url":null,"abstract":"<div><div>The problem considered in this paper is assessing the quality of the time delay estimate between leak signals measured on water pipes. This is practically important, as a quantitative assessment of the accuracy of time delay estimation (TDE) results makes it possible to infer the reliability of acoustic leak localisation results in a given situation. Three quality assessment approaches are developed by considering the statistical properties of the cross-correlation function (CCF): information-criterion, processing gain, and statistical approaches. In the information-criterion approach, the Bayes factor (BF) is employed to decide the most likely probability distribution of observed CCF peak values. The processing gain approach determines the quality of the time delay estimate using indices that indicate detectability of the CCF peak, namely, the peak-to-side lobe ratio (PSR) and the peak-to-mean ratio (PMR). In the statistical approach, an index termed inconsistency score (ICS) is used to describe the quality of TDE results based on root-mean square of deviations of time delay estimates from their statistical mode. Experimental results show that the proposed approaches provide effective means of assessing the accuracy of the time delay estimate in acoustic leak detection applications. Also, the proposed indices can be employed as figures of merit for selecting best parameters for TDE, for example, filter cut-off frequencies.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118811"},"PeriodicalIF":4.3,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The significance of soil–structure interaction in the response of buildings to ground-borne vibration from underground railways","authors":"T.L. Edirisinghe , J.P. Talbot","doi":"10.1016/j.jsv.2024.118812","DOIUrl":"10.1016/j.jsv.2024.118812","url":null,"abstract":"<div><div>The response of buildings to ground-borne vibration is governed by many physical phenomena. Not least of these is the dynamic soil–structure interaction (SSI) that exists between the various components of the system. The majority of existing models assume that the interaction between a railway tunnel and a building’s foundation is negligible, with the two sub-systems behaving as though they are uncoupled; other components of SSI associated with the foundation and building are accounted for to varying degrees, often with little justification. This paper aims to further our understanding of the SSI between an underground railway tunnel and a nearby building. The response of a typical multi-storey building founded on piles is considered, over the frequency range typically associated with perceptible vibration. A comprehensive numerical model is used to capture the fully-coupled, three-dimensional behaviour of the tunnel–foundation–building system, to investigate the relative significance of four fundamental components of SSI when predicting the overall vibration levels within the building. The effects of building location, relative to the tunnel, pile length and foundation configuration are investigated. Three further building models, of varying complexity, are used to explore the extent to which simplified models can capture the fundamental SSI of the system. The conclusions appear promising for the development of simplified models, particularly those aimed at making overall or relative predictions of building vibration levels to guide the design of mitigation measures.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118812"},"PeriodicalIF":4.3,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhi Sun , Jinglei Zhao , Chunlin Zhang, Shujin Yuan, Jun Luo, Huayan Pu
{"title":"Investigation of a novel magnetic inerter-based absorber under shock load","authors":"Zhi Sun , Jinglei Zhao , Chunlin Zhang, Shujin Yuan, Jun Luo, Huayan Pu","doi":"10.1016/j.jsv.2024.118793","DOIUrl":"10.1016/j.jsv.2024.118793","url":null,"abstract":"<div><div>Inerter-based absorbers have proven exceptionally effective in dampening vibrations within a specific low-frequency range, thus finding widespread application in engineering. However, their performance under shock loads poses a more intricate challenge, demanding the development of structures that can encompass a broader spectrum of vibration reduction frequencies. This paper introduces the magnetic inerter shock absorber (MISA), a groundbreaking approach that addresses this challenge. The cornerstone of the MISA lies in the ingenious linkage of its additional mass to the base. This design minimizes the influence on the payload while achieving an astounding amplification factor of thousands. Once integrated into a single-degree-of-freedom system, comprehensive nonlinear motion differential equations are formulated to capture the dynamics triggered by shock loads. Utilizing Fourier analysis, the shock loads are decomposed, and the harmonic balance method is employed to obtain the analytical structure of the system. Following this, numerical solutions are derived via the shock alternating frequency time method, providing insight into the ultimate dynamic response. The results demonstrate that the MISA swiftly suppresses residual vibrations while attenuating transient responses. Finally, an experimental verification confirms the MISA’s ability to reduce shock vibrations. This work not only introduces a novel solution for mitigating the shocks of transient vibrations and residual oscillations induced by shock loads, but also provides guidance for implementing advanced vibration control by adjusting the rotational damping ratio.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118793"},"PeriodicalIF":4.3,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650882","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}
Haosheng Liu , Bilong Liu , Fengyan An , Andrew Peplow
{"title":"Experimental synthesis of random pressure fields based on transfer-matrix analysis on 1D arrays","authors":"Haosheng Liu , Bilong Liu , Fengyan An , Andrew Peplow","doi":"10.1016/j.jsv.2024.118822","DOIUrl":"10.1016/j.jsv.2024.118822","url":null,"abstract":"<div><div>Synthesizing random pressure fields with loudspeaker arrays in a laboratory setting requires acquiring a global transfer matrix of all channels between the loudspeaker array and the microphone array. This inevitably involves measuring a large and unwieldy number of transfer functions. Therefore, we propose a prediction method for the transfer matrix under free-field conditions, combining a substantially reduced number of measurements with specific predictions based on segmented acoustic centers. In free-field conditions, if only three sets of transfer functions are measured for each loudspeaker and the remaining entries in the global transfer matrix are predicted using analytical expressions, the results show that the normalized error between the predicted and measured transfer matrices can be less than −13 dB The experimental results indicate that, based on a one-dimensional loudspeaker array in a standard anechoic chamber, this prediction method shows promise for accurately reproducing random pressure fields, such as a diffuse acoustic field and the pressure field in the spanwise direction of a turbulent boundary layer. Additionally, the prediction method demonstrates the potential for extension to two-dimensional synthesis.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118822"},"PeriodicalIF":4.3,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650774","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}