Journal of Sound and Vibration最新文献

{"title":"Non-linear vibration analysis of hard rock TBMs with multiple state-dependent delays and stick–slip effects","authors":"Xiaoyang Zou,&nbsp;Qiaobo Feng","doi":"10.1016/j.jsv.2024.118799","DOIUrl":"10.1016/j.jsv.2024.118799","url":null,"abstract":"<div><div>Hard rock tunnel boring machines (TBMs) vibrate significantly during tunnelling, accelerating structural damage and cutter wear. The vibration mechanism and dynamic behaviours of TBMs are focused on in this study. A four degrees-of-freedom model that accounts for axial, torsional, pitch, and yaw vibrations that are coupled through the disc cutters–rock interaction is established. Then the state-dependent delay differential equations of motion of a TBM are derived. To determine the penetration in both normal cutting and cutter bounce states, the evolution of the cut surface profile for each cutter is governed by a partial differential equation that is then cast into a series of ordinary differential equations by using Galerkin projections. Numerical simulation shows that new unstable regimes appear due to cutterhead shimmy. Two instability mechanisms that are the cutterhead shimmy and the complete axial bounce, are revealed. It is found that multiple state-dependent delays, especially some of them associated with multiple regenerative effects, result in chaotic behaviours. The chaotic characteristics are in reasonable agreement with those observed from practical projects. The axial stick–slip effect works slightly in the cutterhead shimmy dominated regimes. However, it prevents complete axial bounce from occurring, and changes the predominant mechanism from the complete axial bounce to the cutterhead shimmy.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118799"},"PeriodicalIF":4.3,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655262","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":"Damping-destabilized parametric resonances of a rotating beam magnetically plucking a stationary beam","authors":"Wei-Che Tai","doi":"10.1016/j.jsv.2024.118798","DOIUrl":"10.1016/j.jsv.2024.118798","url":null,"abstract":"<div><div>A beam subjected to rotary magnetic plucking plays an important role in energy harvesting from rotational motion. Rotary magnetic plucking involves impulse-like parametric excitation, the instability mechanisms of which are not well understood. This paper presents a second-order perturbation analysis using the method of multiple scales to study the parametric resonances of a rotating beam magnetically plucking a stationary beam. Stability criteria are derived to predict the principal parametric resonance and combination parametric resonance. The criteria are used to determine when strain-rate damping in the beams has the destabilizing effect. The stability criteria and the destabilizing effect of damping are demonstrated through numerical examples and validated using Floquet theory. The perturbation analysis reveals that when the beams have closely spaced modal frequencies, damping in the rotating beam destabilizes the principal parametric resonance of the stationary beam if damping in the stationary beam is below a certain threshold, and vice versa.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118798"},"PeriodicalIF":4.3,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650776","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":"Overcoming stretching and shortening assumptions in Euler–Bernoulli theory using nonlinear Hencky’s beam models: Applicable to partly-shortened and partly-stretched beams","authors":"Mohammad Parsa Rezaei ,&nbsp;Grzegorz Kudra ,&nbsp;Mojtaba Ghodsi ,&nbsp;Jan Awrejcewicz","doi":"10.1016/j.jsv.2024.118807","DOIUrl":"10.1016/j.jsv.2024.118807","url":null,"abstract":"<div><div>This paper addresses the challenges of the Euler–Bernoulli beam theory regarding shortening and stretching assumptions. Certain boundary conditions, such as a cantilever with a horizontal spring attached to its end, result in beams that partly shorten or stretch, depending on the spring stiffness. The traditional Euler–Bernoulli beam model may not accurately capture the geometrical nonlinearity in these cases. To address this, nonlinear Hencky’s beam models are proposed to describe such conditions. The validity of these models is assessed against the nonlinear Euler–Bernoulli model using the Galerkin method, with examples including cantilever and clamped–clamped configurations representing shortened and stretched beams. An analysis of a cantilever with a horizontal spring, where stiffness varies, using the nonlinear Hencky’s model, indicates that increasing horizontal stiffness stiffens the system. This analysis reveals a transition from softening to linear behavior to hardening near the second resonance frequency, suggesting a bifurcation point. Despite the computational demands of nonlinear Hencky’s models, this study highlights their effectiveness in overcoming the inherent assumptions of stretching and shortening in Euler–Bernoulli beam theory. These models enable a comprehensive nonlinear analysis of partly shortened or stretched beams.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118807"},"PeriodicalIF":4.3,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655264","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":"Effects of periodic long-wave deviations on the dynamic behaviors of spur gear systems","authors":"Lintao Duan ,&nbsp;Liming Wang ,&nbsp;Yimin Shao ,&nbsp;Zaigang Chen ,&nbsp;Minggang Du","doi":"10.1016/j.jsv.2024.118820","DOIUrl":"10.1016/j.jsv.2024.118820","url":null,"abstract":"<div><div>Noise reduction plays a major role in the drive train of motor vehicles operating at higher speeds. Long-wave deviations of gear systems related to manufacturing and assembly errors, such as tooth pitch deviation and geometric eccentricity, exhibit circumferential variations and have been demonstrated to be significant contributors to noise generation. However, a comprehensive and effective model that considers multiple long-wave deviations simultaneously has seldom been studied. To fill this gap, a new numerical model of spur gear systems with long-wave deviations is established, in which the coupling effects of both tooth pitch deviation and geometric eccentricity are taken into consideration. A time-varying mesh stiffness (TVMS) analytical model for spur gear pairs is established, which considers the relationship of errors between pitch deviation and eccentricity. The time-varying contact state of the gear pair under periodic long-wave deviations is also analyzed. A translation-torsion coupled dynamic model is established to investigate the excitation behavior of gear pairs with periodic long-wave deviations. The accuracy of the TVMS and the dynamic model is verified through comparisons with reference and experimental results. Results show that gear pairs with long-wave deviations exhibit periodic fluctuations in TVMS compared to ideal gear pairs, accompanied by phase differences. The mesh stiffness impact phenomenon becomes less pronounced for higher gear precision under lower-load conditions. Conversely, the periodic vibration characteristics induced by eccentricity become less prominent for the lower gear precision level. The excitation behavior of the gear pair with pitch deviation is masked by eccentricity at lower rotational orders, but it still dominates at higher rotational orders. This method can predict the dynamic characteristics of gear transmission systems with periodic long-wave deviations, providing theoretical guidance for reducing the vibration and noise levels.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118820"},"PeriodicalIF":4.3,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654946","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":"Spatiotemporal mode extraction for fluid–structure interaction using mode decomposition","authors":"Yusuke Takahashi","doi":"10.1016/j.jsv.2024.118804","DOIUrl":"10.1016/j.jsv.2024.118804","url":null,"abstract":"<div><div>A fluid–structure interaction (FSI) analysis model was developed based on the partitioned coupling approach. The study analyzed the fluid and structure behavior in a well-established validation case known as the Turek–Hron FSI benchmark test. This test involves strong, unsteady interaction between fluid flow and an elastic flap behind a rigid cylinder. Comparison of the elastic flap displacement frequencies and amplitudes from the present FSI model with reference data showed good agreement, validating the model. Dynamic mode decomposition (DMD) was employed to extract fundamental structures from the complex spatiotemporal data obtained from the FSI analysis. In addition, a mode–sensing technique based on a greedy algorithm was developed, and significant modes were extracted with elastic flap displacement as a feature. The crucial modes for the elastic flap displacement were the second bending modes at specific frequencies. However, these results differed significantly from the natural frequencies of the second bending modes obtained via eigenmode analysis. This discrepancy can be attributed to the close coupling between the fluid and structure, which alters elastic deformation behavior. The study demonstrates the potential for straightforward extraction of essential fluid–structure coupling using FSI-DMD.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118804"},"PeriodicalIF":4.3,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650778","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":"Discussion of S. Ponsioen, S, Jain and G. Haller: “Model reduction to spectral submanifolds and forced-response calculation in high-dimensional mechanical systems”, Journal of Sound and Vibration 488, 2020, pages 1–23","authors":"Malte Krack,&nbsp;Johann Gross","doi":"10.1016/j.jsv.2024.118808","DOIUrl":"10.1016/j.jsv.2024.118808","url":null,"abstract":"<div><div>The authors of the discussed article considered two examples (1) a finite element model of a linear beam with a cubic spring attachment having 10 to 10,000 degrees of freedom, and (2) a finite element model of a geometrically nonlinear Timoshenko beam having 21 degrees of freedom. The authors concluded that Harmonic Balance (HB) becomes intractable for those examples. In this discussion, we falsify this conclusion. We demonstrate that very well-tractable computation effort is obtained when properly using the HB tool NLvib that was also employed in the discussed article. In particular, for (1), the well-known exact condensation to the nonlinear part of the equation system is carried out. For (2), suitable parameters are set for the path continuation and the Newton-type solver. With this, the computation takes from split seconds to about two minutes instead of the many hours reported in the discussed article.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118808"},"PeriodicalIF":4.3,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650779","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":"Experimental study of the multiple tones in trailing edge noise of an aerofoil at low-to-moderate Reynolds number","authors":"Xiangtian Li ,&nbsp;Wangqiao Chen ,&nbsp;Peng Zhou ,&nbsp;Xun Huang ,&nbsp;Xin Zhang","doi":"10.1016/j.jsv.2024.118802","DOIUrl":"10.1016/j.jsv.2024.118802","url":null,"abstract":"<div><div>In this work, aeroacoustic characteristics of the multiple tones of a NACA0012 aerofoil at moderate incidence 5° are studied using anechoic wind tunnel tests. Based on the sound signals measured by the far-field microphones, it is observed that the existence of multiple tones is dependent on Reynolds number (<span><math><mrow><mi>R</mi><mi>e</mi></mrow></math></span>), and a dynamic acoustic feedback loop model is proposed to explain associated mechanisms in the different flow regimes. In regime 1 (<span><math><mrow><mi>R</mi><mi>e</mi><mo>&lt;</mo><mn>1</mn><mo>.</mo><mn>6</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>5</mn></mrow></msup></mrow></math></span>), the existing tonal noise acts as an external force, triggering the upstream vortices that will interact with those shed from the trailing edge. The interaction process can modulate both the amplitude and frequency of tonal noise, leading to the observed multiple tones. The fluctuations in the sound wave, in turn, can affect the upstream boundary-layer flow, introducing intermittency into vortex dynamics. The observed modulation of transient acoustic frequency establishes the necessary condition for generating multiple tones in a forced oscillation system. In regime 2 (<span><math><mrow><mn>1</mn><mo>.</mo><mn>6</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>5</mn></mrow></msup><mo>&lt;</mo><mi>R</mi><mi>e</mi><mo>&lt;</mo><mn>2</mn><mo>.</mo><mn>3</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>5</mn></mrow></msup></mrow></math></span>), the tonal noise is weakened as the feedback loop is suppressed due to the boundary-layer transition on the suction side. As a result, the vortex-shedding occurs at a single fixed frequency so that multiple tones disappear. In regime 3 (<span><math><mrow><mi>R</mi><mi>e</mi><mo>&gt;</mo><mn>2</mn><mo>.</mo><mn>3</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>5</mn></mrow></msup></mrow></math></span>), the boundary-layer flow on the suction side is fully turbulent. However, flow instability on the pressure side acts as the driving force in the dynamic acoustic feedback model, triggering the modulation process and, therefore, the multiple tones.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"596 ","pages":"Article 118802"},"PeriodicalIF":4.3,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650929","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":"Formulations and numerical techniques for computation of acoustic pressure and its gradient by integral method","authors":"Gilles Rahier ,&nbsp;Jean Prieur","doi":"10.1016/j.jsv.2024.118801","DOIUrl":"10.1016/j.jsv.2024.118801","url":null,"abstract":"<div><div>Starting from the Ffowcs Williams-Hawkings surface integral formulation for a moving medium, the article proposes rather simple expressions for the radiated pressure and its gradient in the time domain, that are valid for solid or porous, fixed or moving integration surfaces. Moreover, these original expressions allow calculations with integration surfaces in supersonic motion (such as rotating surfaces around propellers or rotors). Versions dedicated to fixed integration surfaces are also proposed. The usual locally compact and the fully non-compact integration techniques are recalled, with, for both, a detailed description of efficient calculation algorithms. Particular attention is devoted to the order of precision of the calculations. The time derivation techniques and integration schemes used in this study lead to a theoretical second order that can easily be increased for the locally compact integration method. The results of these expressions and integration methods are compared to the analytical solution for the case of a fixed monopole and for that of a rotating monopole. They clearly show the benefit of the direct gradient calculation over a calculation by finite differences of the pressure around the observation point, particularly for broadband signals.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118801"},"PeriodicalIF":4.3,"publicationDate":"2024-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655263","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":"Approximate fundamental frequency formula for cantilevers with weakly non-uniform sections and verification with experiments and other studies in the literature","authors":"Kadir Can Erbaş","doi":"10.1016/j.jsv.2024.118813","DOIUrl":"10.1016/j.jsv.2024.118813","url":null,"abstract":"<div><div>The vibrational frequencies of beams with uniform cross-sections are easily derived from the analytical solutions of the Euler-Bernoulli equation (EBE). However, for beams with non-uniform cross-sections, complex and time-consuming numerical solutions are typically required for each cross-sectional geometry. This paper presents a formula that accurately predicts the vibrational frequencies in the presence of weak heterogeneities, regardless of how the cross-sectional shape varies along the beam's length. Experimental verification and comparisons with literature confirm that the formula reliably predicts frequency shifts in cases where a thin heterogeneous film is coated on a uniform beam, thin heterogeneous layers are removed from a uniform beam, and when a moving point load affects the vibrational frequency. The average absolute percentage error between the experimentally measured and calculated frequencies was &lt;0.17 %. As such, this formula serves as a practical tool for various engineering applications involving weakly heterogeneous beams.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"597 ","pages":"Article 118813"},"PeriodicalIF":4.3,"publicationDate":"2024-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654947","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":"Physics-informed deep sparse regression network for nonlinear dynamical system identification","authors":"Shangyu Zhao ,&nbsp;Changming Cheng ,&nbsp;Miaomiao Lin ,&nbsp;Zhike Peng","doi":"10.1016/j.jsv.2024.118796","DOIUrl":"10.1016/j.jsv.2024.118796","url":null,"abstract":"<div><div>This paper presents a novel physics-informed deep sparse regression network for nonlinear dynamical system identification. The fundamental concept is to employ implicit governing equations to guide neural network training, thereby constraining the solution space and inducing an interpretable model. Firstly, inspired by sparse regression methods, a portable sparse regression layer with a function library is developed to characterize system nonlinearity. Secondly, three Hybrid-LSTM networks are connected in parallel with state dependency constraints to construct the Hybrid-LSTM³ network. This configuration enables accurate full-state predictions even from partial measurements. Finally, the sparse regression layer and the Hybrid-LSTM³ network are synthesized to constitute the physics-informed deep sparse regression network, yielding full-state outputs and explicit closed-form dynamical formulations simultaneously. An alternate optimization method is developed to sequentially optimize the two components. The term “physics-informed” herein denotes the incorporation of state dependency constraints and residual loss from learned governing equations via the sparse regression layer. Through this fusion strategy, the proposed framework holds promise to deliver a physically interpretable model for nonlinear dynamical systems from partial noisy measurements. The effectiveness, robustness, and applicability of the proposed method are demonstrated through numerical simulations and experimental studies.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"595 ","pages":"Article 118796"},"PeriodicalIF":4.3,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578628","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}