Yuanyuan Bai , Liang Wang , Wei Xu , Zhonghua Zhang , Dongxi Li
{"title":"Stochastic dynamics analysis of nonlinear systems with time delay based on path integration method","authors":"Yuanyuan Bai , Liang Wang , Wei Xu , Zhonghua Zhang , Dongxi Li","doi":"10.1016/j.jsv.2025.119169","DOIUrl":"10.1016/j.jsv.2025.119169","url":null,"abstract":"<div><div>In this paper, an approach based on path integration method is proposed to study the stochastic nonlinear systems with time delay. The delay terms are processed according to the idea of multi-scale representation, so that the response of obtained approximate system is Markovian process. Then the probability density function of the equivalent system is solved by the path integration method, including both transient and steady-state aspects. The method is applied to a system with nonlinear delay term and a coupled two-degree-of-freedom system with multiple delay terms, respectively. The technique of stretching and deformation is used to deal with the dilemma of heavy computational cost caused by transition probability density function when solving high-dimensional system. Meanwhile, the huge matrix is stored sparsely to reduce the running memory usage. Finally, the influence mechanism of different time delay and parameters on the system response is discussed, and the stochastic P-bifurcation phenomenon of the probability density function is observed. The results are compared with Monte Carlo simulation results to verify the effectiveness of the proposed method.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"615 ","pages":"Article 119169"},"PeriodicalIF":4.3,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144083612","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":"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}
{"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}
{"title":"Cross-axis bending-torsion coupled dynamic model for thermal-induced frequency drift of 2D MEMS micromirrors","authors":"Ze-Yu Zhou, Kai-Ming Hu, Er-Qi Tu, Guang Meng, Wen-Ming Zhang","doi":"10.1016/j.jsv.2025.119190","DOIUrl":"10.1016/j.jsv.2025.119190","url":null,"abstract":"<div><div>Thermal-induced frequency drift poses significant threats to the performance and long-term reliability of microelectromechanical systems (MEMS) micromirrors. Unlike uniaxial micromirrors, cross-axis two-dimensional (2D) micromirrors exhibit the substantially different bending-torsion coupled dynamic behaviors due to mutually perpendicular beams. Therefore, it is interesting yet challenging to reveal the coupling effect on the cross-axis bending-torsion coupled dynamic behaviors of 2D micromirrors. Here, a temperature-dependent cross-axis bending-torsion coupled dynamic model is developed to elucidate the thermal-induced frequency drift of 2D micromirrors. The proposed model explains the intricate multimodal coupling relationships of cross-axis 2D micromirrors, indicating that the thermal-induced frequency drift of fast-scanning mode is influenced not only by the torsional stiffness of fast-axis beam, but also by the bending stiffness of slow-axis beam. Consequently, by introducing the temperature-dependent cross-axis bending-torsion coupled stiffness matrix, the prediction error of thermal-induced frequency drift is reduced by 88.7 %. Furthermore, a package optimization method for low thermal-induced frequency drift is presented based on the proposed model. As a result, the temperature coefficient of frequency (TCF) is decreased by 62.4 % at the temperature difference of 120 K, which significantly improves the frequency stability of cross-axis 2D micromirrors. This work helps to better comprehend the cross-axis bending-torsion coupled dynamic behaviors of MEMS devices, as well as provides general design guidelines for the low thermal-induced frequency drift and crosstalk-free 2D MEMS micromirrors.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"613 ","pages":"Article 119190"},"PeriodicalIF":4.3,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069960","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}
Yuqi Xiao , Xiang Song , Jiakai He , Qiuhong Liu , Jie Zhou
{"title":"Reducing airfoil trailing-edge noise through chordwise-varying porous airfoil design","authors":"Yuqi Xiao , Xiang Song , Jiakai He , Qiuhong Liu , Jie Zhou","doi":"10.1016/j.jsv.2025.119149","DOIUrl":"10.1016/j.jsv.2025.119149","url":null,"abstract":"<div><div>A chordwise-varying porous wing design method is proposed in this paper. This method treats the porous wing as a perforated plate, and the turbulent boundary layer noise at the trailing edge of the wing is simulated using a quadrupole acoustic source. The sound field solution is obtained by employing the Mathieu function collocation method. We minimize the far-field noise by optimizing the porosity distribution of the perforated plate, thereby completing the design of the non-uniform porous wing. The comparisons with the finite element method results demonstrate the accuracy of the proposed method, while the comparisons with other porosity distribution perforated plates prove its effectiveness. The simulation results show that the porosity distribution based on the perforated plate model demonstrates noise reduction capabilities when applied to real wing structures. When the porosity is only 0.78%, the optimally perforated wing produces 2.2 dB less noise than a uniformly perforated wing and 2.8 dB less noise than an impermeable wing.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"613 ","pages":"Article 119149"},"PeriodicalIF":4.3,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143927461","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":"An efficient semi-analytical method for dynamic responses of a tunnel in stratified soils with irregular interfaces","authors":"Chao He , Yuanping Jia , Shunhua Zhou , Xingwei Chen","doi":"10.1016/j.jsv.2025.119191","DOIUrl":"10.1016/j.jsv.2025.119191","url":null,"abstract":"<div><div>Dynamic tunnel-soil interaction is an important problem of long-standing interest in transportation and environmental engineering. Existing researches most focused on the dynamic problems in a homogeneous half-space with regular geometry. In this study, we develop an efficient semi-analytical method to calculate the dynamic responses caused by a time-harmonic line load acting on a circular tunnel embedded in stratified soils with irregular interfaces. This method uses the generalized reflection/transmission matrices (GRTM) to address wave propagation in a multi-layered half-plane with irregular interfaces. The multiple scattering theory and wave transformation are also applied to harmonize the functions describing various types of waves scattered by the irregular interfaces and the tunnel-soil interface. The present method has two attractive advantages: (1) It can handle arbitrarily shaped interfaces; (2) Only the irregular parts of the interfaces need to be discretized. The present method is verified by comparing to two existing results in the technical literature for simpler cases. A parametric study on a tunnel in a two-layered half-plane with a ladder-shaped interface is conducted to investigate the influence of irregular geometry on the dynamic responses. Additionally, a real case study of Nanjing metro line S6 is also conducted to show the applicability of the present method. Our results show that interface irregularities have a significant influence on the dynamic responses. The assumption of horizontal soil layer interface widely adopted in the previous studies and design analyses may cause considerable errors in predicting the dynamic responses.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"614 ","pages":"Article 119191"},"PeriodicalIF":4.3,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941405","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}