{"title":"Gain margin constrained H2 and H∞ optimal Positive Position Feedback control for piezoelectric vibration suppression","authors":"Bram Seinhorst, Marijn Nijenhuis, Wouter Hakvoort","doi":"10.1016/j.jsv.2025.119165","DOIUrl":"10.1016/j.jsv.2025.119165","url":null,"abstract":"<div><div>Positive Position Feedback (PPF) is a simple resonant control technique widely used to suppress vibrations. Several different tuning methods exist for this type of controller. However, the previously developed tuning methods often rely on simplifications and assume that the system can be reduced to a single mass spring system that exhibits roll-off after the resonance that is to be suppressed. This assumption is not generally valid as the response may also be influenced by a higher frequency resonance, or may not exhibit roll-off at all. This happens for example in systems with collocated piezoelectric sensing and actuation. Furthermore, robustness against gain variations and limited available actuation power are difficult to take into account with the available tuning methods. This paper presents the analytical solution to the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> optimal tuning problem and a reliable numerical solution to the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> optimal tuning problem of PPF controllers for a general class of systems. The system model consists of a second order transfer with direct feed-through terms that are able to capture the response close to an undamped resonance accurately, even if it is influenced by higher frequency modes or if the system does not exhibit roll-off. The method leaves the open loop gain as a free tuning parameter, which can be set to adhere to a gain margin constraint or limit the utilised actuation power. Furthermore, experimental results are included to demonstrate the effectiveness, robustness and flexibility of the proposed optimal tuning approach.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"615 ","pages":"Article 119165"},"PeriodicalIF":4.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144083611","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}
Zhuangzhuang Hao , Donghua Wang , Qingchun Zhang , Shidong Wang , Yue Wu , Xiujiang Shi , Wanyou Li
{"title":"Vibration characteristic analysis of a two-stage spur gear transmission system with tooth crack and profile shifted","authors":"Zhuangzhuang Hao , Donghua Wang , Qingchun Zhang , Shidong Wang , Yue Wu , Xiujiang Shi , Wanyou Li","doi":"10.1016/j.jsv.2025.119211","DOIUrl":"10.1016/j.jsv.2025.119211","url":null,"abstract":"<div><div>Gear transmission systems in engineering often involve multiple stages, making vibration and fault analysis critical. This study introduces a revised spur gear time-varying mesh stiffness(TVMS) model using the potential energy method, incorporating nonlinear Hertzian contact stiffness and the coupling effects of healthy and cracked gear fillet-foundation stiffness, along with profile shift coefficients. The analysis shows that cracked gears introduce rotational frequency components into the mesh stiffness spectrum, while the profile shift coefficient influences the amplitude of mesh frequencies and their harmonics. A finite element model of a two-stage spur gear system, incorporating tooth cracks and profile shift coefficients, is developed to analyze the vibration response characteristics of healthy systems, systems with varying profile shift coefficients, and systems with different crack depths. The results indicate that in the frequency domain, a healthy two-stage spur gear transmission system exhibits not only the mesh frequencies and their harmonics but also a rich combination of these frequencies. The fault frequency for cracked gear systems corresponds to the rotational frequency of the cracked shaft and its modulation with two-stage mesh frequencies. Frequency sweeping analysis shows that varying installation positions change natural frequencies and their corresponding amplitude-frequency response, providing strategies to avoid resonance with operational speeds. In amplitude-frequency characteristics, crack depth notably impacts the amplitude at non-resonant peaks, whereas the profile shift coefficient affects the amplitude at resonant peaks. The time-domain statistical indicators(RMS, kurtosis, and IE) do not consistently respond to variations in crack depth across the entire frequency range under consideration; among these indicators, the kurtosis of the displacement signal emerges as the optimal indicator for detecting gear cracks. These findings offer valuable insights for the design and fault diagnosis of two-stage spur gear transmission systems.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"615 ","pages":"Article 119211"},"PeriodicalIF":4.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106390","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}
Ming-Song Zou , Huai-Cheng Tang , Yi-Ni Yang , Si-Long Peng , Zhi-Yong Yin
{"title":"Numerical-analytical hybrid calculation method for acoustic radiation of underwater vehicles with internal vibration isolation system","authors":"Ming-Song Zou , Huai-Cheng Tang , Yi-Ni Yang , Si-Long Peng , Zhi-Yong Yin","doi":"10.1016/j.jsv.2025.119213","DOIUrl":"10.1016/j.jsv.2025.119213","url":null,"abstract":"<div><div>The application of floating raft isolation technology can effectively reduce mechanical noise in ships and underwater vehicles. Mastering accurate design calculation methods is key to further improving the vibration reduction and noise reduction performance of floating raft systems. More efficient modeling and solving techniques, broader frequency range applicability, and more accurate simulation of isolation components are the current focal points in the research and practical application of design calculation methods for floating raft systems. This paper proposes a hybrid multi-layer substructure integration method, combining analytical and numerical techniques, to improve the computational efficiency of vibration and acoustic radiation analysis in underwater vehicles with vibration isolation systems. The underwater vehicle is divided into a main hull (stiffened cylindrical shell) and internal multi-layer substructures (base, isolators, floating raft, etc.). The main hull is solved analytically, while the base and floating raft are modeled using modal synthesis super-element method to obtain dynamic stiffness matrices. The isolator is modeled using the four-terminal parameter method. These substructures are then integrated to compute the overall structure's vibration and acoustic radiation. For scenarios where the internal vibration isolation system is modified, only the local substructure needs to be recalculated and coupled with the rest of the structure, improving efficiency while maintaining accuracy. This method addresses the frequency limitation bottlenecks of pure numerical methods, extending the frequency range to several kilohertz and enabling significant breakthroughs in broadband applicability. The dynamic stiffness matrices of floating raft isolators, which can be obtained from experimental tests, enhance the method's practical engineering value. The validity of the proposed method is verified through numerical examples and experimental comparisons, and some underlying patterns are discussed during the evaluation process.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"615 ","pages":"Article 119213"},"PeriodicalIF":4.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131023","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":"Bayesian emulation for forecasting modal frequencies under multivariate environmental variability with data association metric and incremental updating","authors":"Le-Le Zhang , Wang-Ji Yan , Ka-Veng Yuen , Costas Papadimitriou , Wei-Xin Ren","doi":"10.1016/j.jsv.2025.119206","DOIUrl":"10.1016/j.jsv.2025.119206","url":null,"abstract":"<div><div>Accommodating the influence of Environmental and Operational Variability (EOV) on modal parameters has been a critical issue in Structural Health Monitoring (SHM). In this study, a Bayesian predictive model incorporating data association metric and incremental updating scheme is proposed to forecast the variability of modal frequencies under EOV. Fast Bayesian Operational Modal Analysis (FBOMA) is firstly employed to identify the modal properties. Based on the training data set of identified modal frequencies and multivariate Environmental and Operational Parameters (EOPs), Maximal Information Coefficient (MIC) as an efficient data association metric capable of capturing a wide range of associations is employed to measure their dependence, thereby screening out the factors with the largest correlation. Subsequently, Bayesian emulator providing a nonlinear surrogate mapping between the probability spaces of the modal frequencies and multivariate EOPs is established as a predictive model to forecast the Most Probable Values (MPVs) and associated uncertainties of modal frequencies due to arbitrary EOV. The approach constantly adapts the new field measurements to incrementally update the predictive model and improve the prediction accuracy. The case study using long-term monitoring of the Z24-Bridge demonstrates the superior prediction accuracy of the proposed scheme. Also, the proposed probabilistic input-output modelling scheme has the potential of distinguishing the variations of frequencies due to damage and EOV. This work provides a new possibility for simultaneously accommodating coupling effect of multivariate factors, nonlinear relationship, and multiple uncertainties.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"614 ","pages":"Article 119206"},"PeriodicalIF":4.3,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178665","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":"Identification of operational modal parameters using multi-reference weighted Hermitian transmissibility functions","authors":"Reza Tarinejad, Farhad Amanzad","doi":"10.1016/j.jsv.2025.119212","DOIUrl":"10.1016/j.jsv.2025.119212","url":null,"abstract":"<div><div>In recent years, methods have been developed to examine the dynamic behavior of structures without affecting their performance. Among these methods, modal parameter identification based solely on output data is a cost-effective approach. Since structures are influenced by multiple input sources simultaneously, the use of poly-reference methods is essential for identifying the structural poles with minimal uncertainty. The main drawback of poly-reference methods is their dependence on loading conditions, which must differ significantly to accurately identify the structural poles. Another limitation of these methods is the presence of non-periodic harmonic components in the frequency responses of structures, which cause dispersion around the structural poles and lead to the identification of spurious poles. To address these issues, a new approach called Poly Reference Weighted Hermitian Transmissibility Operational Modal Analysis (P-WHTOMA) is employed. In this study, a 4-DOF measured structure is analyzed under three earthquake records with varying noise levels using this novel approach. This method utilizes the weight effects on the structural responses to reduce the frequency domain of the responses and minimize spectral dispersion around the structural poles. Therefore, modal parameters are identified with minimal uncertainty under similar loading conditions and correlated input sources. Furthermore, by defining transmissibility functions using Hermitian polynomials, orthogonality is established between the normal vectors of the transmissibility functions, resulting in the identification of modal parameters at the structural poles with reduced uncertainty. In this new approach, increasing noise has less impact on the identification of structural poles. Another advantage of this method is that, unlike single-reference methods, higher structural modes are identified with greater resolution.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"615 ","pages":"Article 119212"},"PeriodicalIF":4.3,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144099184","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 quantitative study of energy localization characteristics in defect-embedded monoatomic phononic crystals","authors":"Vinod Ramakrishnan, Kathryn H. Matlack","doi":"10.1016/j.jsv.2025.119164","DOIUrl":"10.1016/j.jsv.2025.119164","url":null,"abstract":"<div><div>Phononic crystals (PnCs) are periodic engineered media that can customize the spatio-temporal characteristics of mechanical energy propagation. PnCs that additionally leverage precisely embedded defects can achieve robust energy localization with desirable spatio-temporal characteristics, opening avenues for critical engineering applications, e.g., energy harvesting, waveguiding, and fluid flow control. Numerous studies have qualitatively explored the localized dynamics via simulations and experiments, investigating the defect resonance frequency as the primary feature. However, the frequency represents only a subset of the relevant characteristics and a systematic approach to quantify the full scope of the defect dynamics remains elusive. This article establishes the frequency, mode shape, and localized velocity (or displacement) amplitude envelope as three significant factors governing the defect resonance dynamics, and quantitatively examines these characteristics using a modified version of the perturbed tridiagonal n-Toeplitz method. The proposed method accurately estimates the resonance characteristics in 1D and 2D defect-embedded monoatomic PnC lattices with single and multiple defects and elucidates the effects of damping. The method is used to highlight how the key characteristics of defect modes depend on system parameters. Finally, we demonstrate the benefits of defect modes through two defect-based monoatomic PnCs that can accommodate – (i) a virtual ground, and (ii) achieve customized acoustic interaction and absorption, and use the proposed method to analyze these scenarios. The proposed strategy can be readily extended to more elaborate PnCs and augments the design space for defect-based PnCs.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"614 ","pages":"Article 119164"},"PeriodicalIF":4.3,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941601","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":"Disturbance attenuation over a frequency band: A multi- harmonics geometric design approach","authors":"Jiqiang Wang , Huajiang Ouyang","doi":"10.1016/j.jsv.2025.119204","DOIUrl":"10.1016/j.jsv.2025.119204","url":null,"abstract":"<div><div>Mature methodologies for disturbance attenuation have been proposed in various situations. These methods can achieve disturbance suppression over the whole frequency band. However, it is often necessitated with disturbance attenuation over a frequency band in many practical engineering applications. Yet the current methods cannot provide satisfactory solutions due to difficulties in (1) handling the effect of physical parameters on system performance; and even importantly (2) obtaining performance limits. In this paper, a multi-harmonics geometric design approach is proposed where the above issues can be handled with direct visual inspections. Specifically, a design framework is developed for disturbance attenuation for multiple harmonics. Optimal solutions are obtained based on a geometric development. The resulting problem of minimal controller is discussed, together with constrained solutions for both sensing constraints and actuation constraints. Finally, the proposed theoretical results are validated through numerical examples with real time implementations.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"614 ","pages":"Article 119204"},"PeriodicalIF":4.3,"publicationDate":"2025-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144084183","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}
Walter Bova , Eugene Nijman , Markus Polanz , Domenico Mundo
{"title":"Design of a slow sound based meta-poro-elastic material with enhanced absorption capabilities","authors":"Walter Bova , Eugene Nijman , Markus Polanz , Domenico Mundo","doi":"10.1016/j.jsv.2025.119137","DOIUrl":"10.1016/j.jsv.2025.119137","url":null,"abstract":"<div><div>Poroelastic foams are generally efficient to absorb sound. Thanks to their typical extensive air-solid interface, these materials are able to dissipate energy through viscous and thermal interactions. However, because of their absorption mechanisms, they have a low absorption efficiency at wavelengths much larger than the layer thickness. Works on the optimization of the pore design have shown that little improvement can be obtained at low frequencies. Meso-scale inclusions embedded in foam-like materials have been employed to address this problem and broaden the working frequency ranges, mainly through resonance phenomena. Although the subwavelength resonators effectively absorb sound in the low frequency range, the sizes needed to achieve low frequency performance frequently prohibit practical use. In this work we demonstrate how compact sound absorbing panels can be designed by exploiting the slow sound propagation achieved in flexible rubber tubes. An axisymmetric FEM formulation is developed and an optimization of the Biot parameters is carried out. The designed meta-poro-elastic material, obtained by embedding rubber quarter wave resonators in a poroelastic foam, is able to absorb well the low frequency noise while keeping good absorption capabilities at high frequency.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"613 ","pages":"Article 119137"},"PeriodicalIF":4.3,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069959","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}
Dawid Dudkowski, Barbara Błażejczyk–Okolewska, Tomasz Kapitaniak
{"title":"Synchronous patterns in two pendula suspended on multi degrees of freedom support","authors":"Dawid Dudkowski, Barbara Błażejczyk–Okolewska, Tomasz Kapitaniak","doi":"10.1016/j.jsv.2025.119159","DOIUrl":"10.1016/j.jsv.2025.119159","url":null,"abstract":"<div><div>We investigate the dynamics and possible synchronization scenarios of two pendula suspended on 3 DOF (three degrees of freedom) beam. The base has been equipped with supporting springs, allowing it to perform both translational and rotary oscillations (full plane motion). Depending on the parameters of the model, we have determined different regions of classical synchronous patterns, as well as uncovered more complex scenarios, including irregular motion and quasiperiodic synchronization. As we have observed, in particular cases the beam can begin to imitate an additional pendulum, performing oscillations with the amplitude comparable to the nodes. The co-existence of possible states has been studied and visualized using basins of attraction, and the properties of synchronous solutions have been discussed. Using the energy balance method, we have followed the energy flows within the system when the dynamics changes. The results presented in this paper have been collected using classical bifurcation tools and modern sample-based methods, showing that both approaches are complementary and can be applied in the analysis of complex nonlinear problems. Enhancing the freedom of motion of the supporting base, we can investigate more practical scenarios of coupled pendula and pendula-like systems, developing the synchronization theory and its use in solving modern engineering problems.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"613 ","pages":"Article 119159"},"PeriodicalIF":4.3,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143936868","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":"Control of dynamic interaction between the beam bending and liquid sloshing","authors":"Jiawei Han, Jie Huang","doi":"10.1016/j.jsv.2025.119172","DOIUrl":"10.1016/j.jsv.2025.119172","url":null,"abstract":"<div><div>The interaction between the beam bending and liquid sloshing occurs in many industrial applications including liquid transport, space exploration, and aircraft wing. Little attention has been directed at the theoretical investigation and experimental validation of coupling effects between the nonlinear bending of the flexible beam and nonlinear sloshing of the fluid liquid. A new dynamic model of a flexible beam supporting a liquid container has been developed. The model captures the dynamic interaction between the nonlinear bending and sloshing. Additionally, an analytical equation was obtained from the model in order to estimate the coupled frequency of the bending-sloshing interaction. The coupled frequency significantly differs from the frequency of the beam bending and fluid sloshing. Furthermore, a new method was presented to control the coupled oscillations caused by the nonlinear bending-sloshing interaction. Experimental investigations were performed on a cantilever beam transporting a liquid container to validate the effectiveness of the dynamic model, frequency estimation, and vibration-control method.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"612 ","pages":"Article 119172"},"PeriodicalIF":4.3,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923214","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}