Pub Date : 2025-12-31DOI: 10.1016/j.jsv.2025.119628
J. Arango Montoya , O. Chiello , J.-J. Sinou , R. Tufano
Railway curve squeal is a highly nonlinear phenomenon involving self-sustained vibration of the wheel/rail system and commonly attributed to friction-related instability. While the occurrence of the noise is often studied through a stability analysis based on the linearization of the contact forces, its nonlinear nature requires methods such as time-integration of the dynamic equations of the system in order to determine the amplitude of the oscillations and hence, the radiated sound levels. This kind of methods are computationally expensive. Furthermore, they are not well adapted for the description of the infinite track behaviour, which represents a major challenge. This paper proposes an approach based on the Harmonic Balance Method (HBM), which aims to overcome these difficulties by assuming multi-harmonic periodic solutions and using a frequency-domain representation of the wheel and rail via their receptances at the contact point. The proposed method, which is directly formulated in the frequency-domain, is applied to a curve squeal model where the wheel is modelled via Finite Elements and the track analytically. Results corresponding to the two main instability mechanisms (falling friction and geometrical instability) are presented. The results are in good agreement with time integration and the computational cost is drastically reduced.
{"title":"A Harmonic Balance Method with contact condensation for the frequency-domain computation of self-sustained nonlinear vibration related to railway curve squeal","authors":"J. Arango Montoya , O. Chiello , J.-J. Sinou , R. Tufano","doi":"10.1016/j.jsv.2025.119628","DOIUrl":"10.1016/j.jsv.2025.119628","url":null,"abstract":"<div><div>Railway curve squeal is a highly nonlinear phenomenon involving self-sustained vibration of the wheel/rail system and commonly attributed to friction-related instability. While the occurrence of the noise is often studied through a stability analysis based on the linearization of the contact forces, its nonlinear nature requires methods such as time-integration of the dynamic equations of the system in order to determine the amplitude of the oscillations and hence, the radiated sound levels. This kind of methods are computationally expensive. Furthermore, they are not well adapted for the description of the infinite track behaviour, which represents a major challenge. This paper proposes an approach based on the Harmonic Balance Method (HBM), which aims to overcome these difficulties by assuming multi-harmonic periodic solutions and using a frequency-domain representation of the wheel and rail via their receptances at the contact point. The proposed method, which is directly formulated in the frequency-domain, is applied to a curve squeal model where the wheel is modelled via Finite Elements and the track analytically. Results corresponding to the two main instability mechanisms (falling friction and geometrical instability) are presented. The results are in good agreement with time integration and the computational cost is drastically reduced.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119628"},"PeriodicalIF":4.9,"publicationDate":"2025-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145927861","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}
Pub Date : 2025-12-30DOI: 10.1016/j.jsv.2025.119625
Viktor Hruška , Aneta Furmanová , Tereza Filipská , Jan Valášek
In this article, data-driven methods for discovering governing equations are brought to the field of finite-amplitude acoustics, and the associated challenges are examined. One significant difficulty is the numerical evaluation of derivatives in the vicinity of shocks, which is solved by employing a weak formulation of the partial differential equations. For benchmarking, the classical model equations in the weakly nonlinear regime are recovered from data: the Westervelt equation for purely progressive waves and the Kuznetsov equation for interfering waves. The results further demonstrate that the approach is applicable to partial differential equations involving a second time derivative, as well as to problems in more than one spatial dimension.
{"title":"Data-driven discovery of weakly nonlinear acoustic wave equations","authors":"Viktor Hruška , Aneta Furmanová , Tereza Filipská , Jan Valášek","doi":"10.1016/j.jsv.2025.119625","DOIUrl":"10.1016/j.jsv.2025.119625","url":null,"abstract":"<div><div>In this article, data-driven methods for discovering governing equations are brought to the field of finite-amplitude acoustics, and the associated challenges are examined. One significant difficulty is the numerical evaluation of derivatives in the vicinity of shocks, which is solved by employing a weak formulation of the partial differential equations. For benchmarking, the classical model equations in the weakly nonlinear regime are recovered from data: the Westervelt equation for purely progressive waves and the Kuznetsov equation for interfering waves. The results further demonstrate that the approach is applicable to partial differential equations involving a second time derivative, as well as to problems in more than one spatial dimension.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119625"},"PeriodicalIF":4.9,"publicationDate":"2025-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145927862","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}
Pub Date : 2025-12-28DOI: 10.1016/j.jsv.2025.119629
Jian-Min Sun , Qian Sun , Wang-Ji Yan , Dan Li , Yu-Song Liu
Frequency response functions (FRFs) and transmissibility functions (TFs) serve as key tools in vibration-based damage detection, eliminating the necessity for additional modal parameter identification. Despite their widespread application, analytical comparisons between FRF-based and TF-based indicators for damage detection and localization remain scarce. This research provides a comprehensive evaluation of the utility of FRF and TF data across frequency bands for damage detection, localization, and actuator placement optimization. Based on FRF sensitivity formulations in both frequency and modal domains, two closed-form expressions for TF sensitivity are derived using a direct algebraic method, with one involving derivatives of physical parameters (i.e., mass, stiffness, and damping) and the other relying on eigen-solution sensitivities. To address the ill-posedness and uncertainty quantification in damage identification, damage detection schemes are established by solving sensitivity-based damage equations within a Bayesian regularization framework, enabling reliable identification of both single and multiple damage scenarios. Numerical studies confirm the accuracy of the formulas of sensitivity analysis and the Bayesian damage detection method. A comparative analysis of the damage sensitivities of FRF and TF data is also conducted with respect to damage location, excitation position, and frequency range.
{"title":"Analytical local sensitivity analysis of frequency response function and transmissibility function with a view towards Bayesian damage detection","authors":"Jian-Min Sun , Qian Sun , Wang-Ji Yan , Dan Li , Yu-Song Liu","doi":"10.1016/j.jsv.2025.119629","DOIUrl":"10.1016/j.jsv.2025.119629","url":null,"abstract":"<div><div>Frequency response functions (FRFs) and transmissibility functions (TFs) serve as key tools in vibration-based damage detection, eliminating the necessity for additional modal parameter identification. Despite their widespread application, analytical comparisons between FRF-based and TF-based indicators for damage detection and localization remain scarce. This research provides a comprehensive evaluation of the utility of FRF and TF data across frequency bands for damage detection, localization, and actuator placement optimization. Based on FRF sensitivity formulations in both frequency and modal domains, two closed-form expressions for TF sensitivity are derived using a direct algebraic method, with one involving derivatives of physical parameters (i.e., mass, stiffness, and damping) and the other relying on eigen-solution sensitivities. To address the ill-posedness and uncertainty quantification in damage identification, damage detection schemes are established by solving sensitivity-based damage equations within a Bayesian regularization framework, enabling reliable identification of both single and multiple damage scenarios. Numerical studies confirm the accuracy of the formulas of sensitivity analysis and the Bayesian damage detection method. A comparative analysis of the damage sensitivities of FRF and TF data is also conducted with respect to damage location, excitation position, and frequency range.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119629"},"PeriodicalIF":4.9,"publicationDate":"2025-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145927818","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}
Pub Date : 2025-12-27DOI: 10.1016/j.jsv.2025.119623
Jiasen Wei , Sadaf Arabi
{"title":"Corrigendum to “Effects of non-uniform temperature field, mean flow, and noise on nonlinear thermoacoustic instabilities” [Journal of Sound and Vibration 624 (2026) 119498]","authors":"Jiasen Wei , Sadaf Arabi","doi":"10.1016/j.jsv.2025.119623","DOIUrl":"10.1016/j.jsv.2025.119623","url":null,"abstract":"","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119623"},"PeriodicalIF":4.9,"publicationDate":"2025-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145839604","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}
Pub Date : 2025-12-27DOI: 10.1016/j.jsv.2025.119624
Roshan S. Kaundinya , Alice Marraffa , Zhenwei Xu , Shobhit Jain , George Haller
{"title":"Corrigendum to “Nonlinear Model Reduction to Random Spectral Submanifolds in Random Vibrations” [J. Sound Vib. 600 (2025), 118923]","authors":"Roshan S. Kaundinya , Alice Marraffa , Zhenwei Xu , Shobhit Jain , George Haller","doi":"10.1016/j.jsv.2025.119624","DOIUrl":"10.1016/j.jsv.2025.119624","url":null,"abstract":"","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119624"},"PeriodicalIF":4.9,"publicationDate":"2025-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145881806","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}
Pub Date : 2025-12-24DOI: 10.1016/j.jsv.2025.119620
Bing Zhu, Wen Zhang, Xianrui Wang, Jingdong Chen
{"title":"Corrigendum to “Pseudo-intensity vector based sound speed measurement in indoor environments and its application to beamforming calibration” [Journal of Sound and Vibration, 625 (2026), 1–13/119561]","authors":"Bing Zhu, Wen Zhang, Xianrui Wang, Jingdong Chen","doi":"10.1016/j.jsv.2025.119620","DOIUrl":"10.1016/j.jsv.2025.119620","url":null,"abstract":"","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119620"},"PeriodicalIF":4.9,"publicationDate":"2025-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145808331","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}
Pub Date : 2025-12-23DOI: 10.1016/j.jsv.2025.119626
Yongbu Jin, Dong Wang, Di Yuan, Yihan Du, Qiang Wan
A non-invasive methodology for analyzing the nonlinear dynamic response of compressible constrained layer damping (CCLD) is developed within a finite element framework. The key to the proposed method lies in replacing the joint with a novel frequency- and load-dependent virtual material model and extracting model parameters using geometry-independent mapping equations. The CCLD’s frequency response is strongly influenced by the excitation level and design parameters. These effects are tested and simulated on a structure designated as "Pre-tighten Shear". In the experimental section, the effects of excitation, compression level, and silicone foam thickness on the nonlinear behavior of the CCLD over a wide frequency range are investigated. In the numerical simulation, a proposed finite element–based model is employed to analyze the structure. The validity of the method was verified through experimental comparisons, with the MSE not exceeding 4E-03. In addition, the results show that the use of mapping equations offers higher computational efficiency than the classical approach, achieving faster parameter updates at a rate of >60%. A comparison between the simulation and experimental results indicates that interface sliding reduces the stiffness of the joints, with a maximum change in joint damping of about 65%.
{"title":"Nonlinear vibration analysis of compressible constrained layer damping using a frequency- and load-dependent virtual material","authors":"Yongbu Jin, Dong Wang, Di Yuan, Yihan Du, Qiang Wan","doi":"10.1016/j.jsv.2025.119626","DOIUrl":"10.1016/j.jsv.2025.119626","url":null,"abstract":"<div><div>A non-invasive methodology for analyzing the nonlinear dynamic response of compressible constrained layer damping (CCLD) is developed within a finite element framework. The key to the proposed method lies in replacing the joint with a novel frequency- and load-dependent virtual material model and extracting model parameters using geometry-independent mapping equations. The CCLD’s frequency response is strongly influenced by the excitation level and design parameters. These effects are tested and simulated on a structure designated as \"Pre-tighten Shear\". In the experimental section, the effects of excitation, compression level, and silicone foam thickness on the nonlinear behavior of the CCLD over a wide frequency range are investigated. In the numerical simulation, a proposed finite element–based model is employed to analyze the structure. The validity of the method was verified through experimental comparisons, with the MSE not exceeding 4E-03. In addition, the results show that the use of mapping equations offers higher computational efficiency than the classical approach, achieving faster parameter updates at a rate of >60%. A comparison between the simulation and experimental results indicates that interface sliding reduces the stiffness of the joints, with a maximum change in joint damping of about 65%.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119626"},"PeriodicalIF":4.9,"publicationDate":"2025-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145881805","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}
Pub Date : 2025-12-22DOI: 10.1016/j.jsv.2025.119622
Haining Li , Kefu Liu , Jian Deng
This study proposes a magnetically enhanced piecewise-linear nonlinear energy sink (MPLNES) for simultaneous vibration suppression (VS) and energy harvesting (EH). The MPLNES integrates a small mass, a piecewise-linear spring (PLS), a grounded magnetic spring (GMS), and a grounded electromagnetic energy harvester (EMEH). Two-variable models are developed to characterize the restoring force of the GMS and the transduction factor of the EMEH. Comparative analyses of the MPLNES and a conventional piecewise-linear NES (PLNES) are conducted using time responses, wavelet spectra, and frequency-energy plots. Results show that the MPLNES outperforms the PLNES, particularly at low initial energy levels, due to the GMS-induced dynamic shift of the NES equilibrium position, which promotes earlier nonlinear engagement and lowers the TET threshold. A two-objective optimization further identifies optimal initial energies and load resistances for three NES configurations, demonstrating that the MPLNES provides robust VS and EH performance across varying energy levels, with the PLS playing a key role in sustaining TET. Experimental validations agree well with simulations, confirming the effectiveness of the MPLNES for dual-function applications.
{"title":"A magnetically enhanced piecewise-linear nonlinear energy sink: Transient responses","authors":"Haining Li , Kefu Liu , Jian Deng","doi":"10.1016/j.jsv.2025.119622","DOIUrl":"10.1016/j.jsv.2025.119622","url":null,"abstract":"<div><div>This study proposes a magnetically enhanced piecewise-linear nonlinear energy sink (MPLNES) for simultaneous vibration suppression (VS) and energy harvesting (EH). The MPLNES integrates a small mass, a piecewise-linear spring (PLS), a grounded magnetic spring (GMS), and a grounded electromagnetic energy harvester (EMEH). Two-variable models are developed to characterize the restoring force of the GMS and the transduction factor of the EMEH. Comparative analyses of the MPLNES and a conventional piecewise-linear NES (PLNES) are conducted using time responses, wavelet spectra, and frequency-energy plots. Results show that the MPLNES outperforms the PLNES, particularly at low initial energy levels, due to the GMS-induced dynamic shift of the NES equilibrium position, which promotes earlier nonlinear engagement and lowers the TET threshold. A two-objective optimization further identifies optimal initial energies and load resistances for three NES configurations, demonstrating that the MPLNES provides robust VS and EH performance across varying energy levels, with the PLS playing a key role in sustaining TET. Experimental validations agree well with simulations, confirming the effectiveness of the MPLNES for dual-function applications.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119622"},"PeriodicalIF":4.9,"publicationDate":"2025-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145881807","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}
Unlike conventional geometric-throat configurations, thermal-throat choking is induced by volumetric heat addition from a flame, making this approach well suited to dual-mode ramjet applications. Such configurations, however, are potentially sensitive to combustion instabilities that can develop in the combustor, leading to the generation of acoustic and entropy waves which interact with the thermal throat, the outlet acoustic boundary condition. To study this interaction, the linear response of the thermal throat to acoustic or entropy plane-wave forcing is analyzed for five distinct configurations, highlighting several key findings. (i) The characterization of both acoustic-reflection and entropy-noise-production coefficients, along with the critical-throat boundary condition, reveals distinct acoustic behaviors influenced by the heat-release profile, heat-addition and geometric effects. (ii) A comparison between thermal and geometrical nozzles shows that thermally-choked configurations exhibit significantly lower acoustic-reflection coefficients at low frequencies. This acoustic damping is shown to result from the conversion of acoustic waves into entropy waves in the divergent duct, caused by the static temperature gradient. The entropy-noise-production coefficient of thermally-choked nozzle remains close to that of the isentropic configuration. (iii) A quasi-steady-state analytical model is also developed to predict the aeroacoustic reflection coefficients at very low frequencies for a thermal throat at the end of a straight tube. (iv) Additionally, the commonly used assumption of zero Mach-number fluctuations for geometric throat () is critically evaluated and shown to be valid only for isentropic flow in a geometric throat configuration. With a thermal throat, the Mach-number fluctuations at the throat position are shown to be mainly driven by the heat-release profile. (v) At high frequencies, all choking configurations asymptotically converge to an isentropic simple-wave acoustic-radiation behavior.
{"title":"On the linear aeroacoustic response of a thermally-choked-flow nozzle to acoustic and entropy plane waves","authors":"Frédéric Olivon , Aurelien Genot , Jean-Étienne Durand , Avraham Hirschberg , Estelle Piot","doi":"10.1016/j.jsv.2025.119619","DOIUrl":"10.1016/j.jsv.2025.119619","url":null,"abstract":"<div><div>Unlike conventional geometric-throat configurations, thermal-throat choking is induced by volumetric heat addition from a flame, making this approach well suited to dual-mode ramjet applications. Such configurations, however, are potentially sensitive to combustion instabilities that can develop in the combustor, leading to the generation of acoustic and entropy waves which interact with the thermal throat, the outlet acoustic boundary condition. To study this interaction, the linear response of the thermal throat to acoustic or entropy plane-wave forcing is analyzed for five distinct configurations, highlighting several key findings. (i) The characterization of both acoustic-reflection and entropy-noise-production coefficients, along with the critical-throat boundary condition, reveals distinct acoustic behaviors influenced by the heat-release profile, heat-addition and geometric effects. (ii) A comparison between thermal and geometrical nozzles shows that thermally-choked configurations exhibit significantly lower acoustic-reflection coefficients at low frequencies. This acoustic damping is shown to result from the conversion of acoustic waves into entropy waves in the divergent duct, caused by the static temperature gradient. The entropy-noise-production coefficient of thermally-choked nozzle remains close to that of the isentropic configuration. (iii) A quasi-steady-state analytical model is also developed to predict the aeroacoustic reflection coefficients at very low frequencies for a thermal throat at the end of a straight tube. (iv) Additionally, the commonly used assumption of zero Mach-number fluctuations for geometric throat (<span><math><mrow><msubsup><mi>M</mi><mo>*</mo><mo>′</mo></msubsup><mo>=</mo><mn>0</mn></mrow></math></span>) is critically evaluated and shown to be valid only for isentropic flow in a geometric throat configuration. With a thermal throat, the Mach-number fluctuations at the throat position are shown to be mainly driven by the heat-release profile. (v) At high frequencies, all choking configurations asymptotically converge to an isentropic simple-wave acoustic-radiation behavior.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119619"},"PeriodicalIF":4.9,"publicationDate":"2025-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145881720","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}
Pub Date : 2025-12-20DOI: 10.1016/j.jsv.2025.119618
Yunhao Zhang , Daiki Sato , Yinli Chen , Jinhua She , Kou Miyamoto
Linear quadratic regulator (LQR) control has been widely demonstrated to be suitable and effective for active base-isolated buildings. However, its application to the buildings equipped with nonlinear dampers remains challenging due to the theoretical and design complexity. This paper presents a simple response-spectra-based design method for LQR control of active base-isolated buildings with bilinear oil dampers (BODs). First, a gain-scheduling-based LQR (GSLQR) control algorithm is presented to accommodate BODs. The GSLQR controller is defined as a total controller composed of BODs as the passive part and a gain-scheduling (GS) controller as the active part. This separates BODs from the plant, thereby transforming the control of a nonlinear system into the control of a linear system. We optimize the total control force using an LQR algorithm considering acceleration, velocity, and displacement. Then, a response-spectra-based design method is presented. We construct an equivalent passive model (EPM) of the system, which enables the estimation of maximum responses on the response spectra. Moreover, a control-force spectrum is presented to estimate the maximum required active control force. Finally, a design procedure is provided and an example is given to show the feasibility of the design method. The results indicate that this method extends LQR control to buildings with BODs and determines the design parameters from the spectra to meet the design requirements, without relying on simulations or trial-and-error procedures. This presents a promising strategy for designing active control systems in buildings equipped with nonlinear dampers.
{"title":"A response-spectra-based design method for LQR control of active base-isolated buildings with bilinear oil dampers","authors":"Yunhao Zhang , Daiki Sato , Yinli Chen , Jinhua She , Kou Miyamoto","doi":"10.1016/j.jsv.2025.119618","DOIUrl":"10.1016/j.jsv.2025.119618","url":null,"abstract":"<div><div>Linear quadratic regulator (LQR) control has been widely demonstrated to be suitable and effective for active base-isolated buildings. However, its application to the buildings equipped with nonlinear dampers remains challenging due to the theoretical and design complexity. This paper presents a simple response-spectra-based design method for LQR control of active base-isolated buildings with bilinear oil dampers (BODs). First, a gain-scheduling-based LQR (GSLQR) control algorithm is presented to accommodate BODs. The GSLQR controller is defined as a total controller composed of BODs as the passive part and a gain-scheduling (GS) controller as the active part. This separates BODs from the plant, thereby transforming the control of a nonlinear system into the control of a linear system. We optimize the total control force using an LQR algorithm considering acceleration, velocity, and displacement. Then, a response-spectra-based design method is presented. We construct an equivalent passive model (EPM) of the system, which enables the estimation of maximum responses on the response spectra. Moreover, a control-force spectrum is presented to estimate the maximum required active control force. Finally, a design procedure is provided and an example is given to show the feasibility of the design method. The results indicate that this method extends LQR control to buildings with BODs and determines the design parameters from the spectra to meet the design requirements, without relying on simulations or trial-and-error procedures. This presents a promising strategy for designing active control systems in buildings equipped with nonlinear dampers.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"626 ","pages":"Article 119618"},"PeriodicalIF":4.9,"publicationDate":"2025-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145881753","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}
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