Pub Date : 2026-02-05DOI: 10.1016/j.ymssp.2026.113944
Yanan Gai , Zijian Qiao , Yanglong Lu , Ronghua Zhu , Xin Zhang
In engineering applications, weak multi-frequency fault signals from mechanical equipment are often masked by strong background noise. Traditional stochastic resonance (SR) methods mainly focus on enhancing fault signals into sine-like ones, but they may lose or even destroy the multi-harmonic characteristics of fault signals. To this end, this paper would propose a rescaling-frequency scanning image method using fractional-order SR (FSR-RFSI), aiming to enhance and visualize weak multi-frequency useful signals. First, the proposed method develops a fractional-order SR system with memory properties, which is designed to detect weak multi-frequency signals in complex spectral environments. Moreover, a weighted zero-crossing signal-to-noise ratio (WZCSNR) is proposed as a performance evaluation metric, which effectively overcomes the limitation of the traditional signal-to-noise ratio (SNR) that focuses solely on frequency-domain energy while neglecting time-domain multi-harmonic components. Meanwhile, to improve parameter tuning efficiency, this paper establishes an analytical relationship map between the resonant frequency and system parameters, namely rescaling-frequency scanning image. Furthermore, a quantum genetic algorithm (QGA) is used to achieve adaptive optimization of key system parameters. Simulation analyses and experiments on early rolling bearing and gearbox faults show that the proposed method can effectively boost and detect weak multi-frequency fault signals. Additionally, comparative analysis with Maximum Correlated Kurtosis Deconvolution (MCKD), Fast Kurtogram (FK), and Feature Modal Decomposition (FMD) methods further validates the superiority of the proposed method.
{"title":"Fractional-order stochastic resonance-based rescaling-frequency scanning images for early multi-frequency fault detection of machines","authors":"Yanan Gai , Zijian Qiao , Yanglong Lu , Ronghua Zhu , Xin Zhang","doi":"10.1016/j.ymssp.2026.113944","DOIUrl":"10.1016/j.ymssp.2026.113944","url":null,"abstract":"<div><div>In engineering applications, weak multi-frequency fault signals from mechanical equipment are often masked by strong background noise. Traditional stochastic resonance (SR) methods mainly focus on enhancing fault signals into sine-like ones, but they may lose or even destroy the multi-harmonic characteristics of fault signals. To this end, this paper would propose a rescaling-frequency scanning image method using fractional-order SR (FSR-RFSI), aiming to enhance and visualize weak multi-frequency useful signals. First, the proposed method develops a fractional-order SR system with memory properties, which is designed to detect weak multi-frequency signals in complex spectral environments. Moreover, a weighted zero-crossing signal-to-noise ratio (WZCSNR) is proposed as a performance evaluation metric, which effectively overcomes the limitation of the traditional signal-to-noise ratio (SNR) that focuses solely on frequency-domain energy while neglecting time-domain multi-harmonic components. Meanwhile, to improve parameter tuning efficiency, this paper establishes an analytical relationship map between the resonant frequency and system parameters, namely rescaling-frequency scanning image. Furthermore, a quantum genetic algorithm (QGA) is used to achieve adaptive optimization of key system parameters. Simulation analyses and experiments on early rolling bearing and gearbox faults show that the proposed method can effectively boost and detect weak multi-frequency fault signals. Additionally, comparative analysis with Maximum Correlated Kurtosis Deconvolution (MCKD), Fast Kurtogram (FK), and Feature Modal Decomposition (FMD) methods further validates the superiority of the proposed method.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113944"},"PeriodicalIF":8.9,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 : 2026-02-05DOI: 10.1016/j.ymssp.2026.113954
Jubin Lu , Shitang Ke , Jinghua Lin , Songye Zhu
Inerter dampers (IDs) exhibit unique performance in various vibration control problems in comparison with other passive dampers. Most existing IDs can only possess fixed inertance and damping coefficients once manufactured, limiting their practical applications and the realization of adaptive or semi-active control. In this paper, a novel variable inerter damper (VID) design with superior tuning capabilities for both inertance and damping coefficients is developed. Unlike existing VIDs, the new VID design enables continuous and separate tuning of inertance and damping coefficients, conforming to control optimization that often requires precise, continuous, and separate tuning of these two coefficients. Theoretical modeling and extensive laboratory experiments were conducted to verify the performance of the VID prototype under various working conditions. Experimental results confirmed a broad tuning range for both inertance and damping, which, to the best of the authors’ knowledge, presents a first ton-level prototype exhibiting such extensive adjustability. Moreover, the inertance and EM damping coefficients can be tuned independently through their respective adjustment mechanisms. The salient characteristics of the proposed VID will significantly improve the functionality and applicability of IDs.
{"title":"Novel variable inerter damper with independently tunable inertance and damping","authors":"Jubin Lu , Shitang Ke , Jinghua Lin , Songye Zhu","doi":"10.1016/j.ymssp.2026.113954","DOIUrl":"10.1016/j.ymssp.2026.113954","url":null,"abstract":"<div><div>Inerter dampers (IDs) exhibit unique performance in various vibration control problems in comparison with other passive dampers. Most existing IDs can only possess fixed inertance and damping coefficients once manufactured, limiting their practical applications and the realization of adaptive or semi-active control. In this paper, a novel variable inerter damper (VID) design with superior tuning capabilities for both inertance and damping coefficients is developed. Unlike existing VIDs, the new VID design enables continuous and separate tuning of inertance and damping coefficients, conforming to control optimization that often requires precise, continuous, and separate tuning of these two coefficients. Theoretical modeling and extensive laboratory experiments were conducted to verify the performance of the VID prototype under various working conditions. Experimental results confirmed a broad tuning range for both inertance and damping, which, to the best of the authors’ knowledge, presents a first ton-level prototype exhibiting such extensive adjustability. Moreover, the inertance and EM damping coefficients can be tuned independently through their respective adjustment mechanisms. The salient characteristics of the proposed VID will significantly improve the functionality and applicability of IDs.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113954"},"PeriodicalIF":8.9,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 : 2026-02-05DOI: 10.1016/j.ymssp.2026.113975
Penglong Li , Hongyan Guo , Yanran Liu , Qingyu Meng , Shuang Liang , Dongpu Cao , Hong Chen
Trajectory prediction in emergencies scenarios is crucial for autonomous driving. Yet vehicle motion signals in these situations are highly nonlinear and nonstationary, with complex temporal and dynamic dependencies. Because mainstream datasets mainly cover regular driving and omit emergencies, existing models can still achieve satisfactory performance under normal conditions even without explicitly modeling exteroceptive cues, kinematic signals, or semantic intentions. However, during highly nonstationary and dynamic processes such as sudden cut-in or emergency braking, these weakly dependent architectures reveal significant shortcomings in generalization and robustness. To address these challenges, this paper proposes RDI-Pred, a multi-source temporal prediction framework that integrates Risk–Dynamics–Intention synergy from the perspectives of time-series signal processing and dynamic system modeling. First, we build a risk-aware exteroceptive encoder that uses prior-enhanced risk attention for risk scoring. Furthermore, a tri-agent interaction micrograph is constructed among the ego vehicle(Ego), target vehicle(TV), and closest in-path vehicle (CIPV) to model localized spatiotemporal dependencies, thereby enabling early-stage perception of exteroceptive risks. Next, we design a multi-scale Dynamics encoder that captures motion dynamics at short, mid, and long horizons. A 1D-CNN with a sliding window extracts short-term transients, BiGRU (Bidirectional Gated Recurrent Unit) states describe mid-term behavior, and a BiLSTM (Bidirectional Long Short-Term Memory) with self-attention models long-term dependencies, yielding a robust dynamic prior for trajectory decoding. Finally, we add cut-in intention recognition auxiliary task to constrain and re-score multi-modal trajectory candidates in decoding, promoting intention-aligned trajectories and suppressing mismatched ones. On the large-scale ESP high-risk dataset, RDI-Pred surpasses MTR with +32.9% mAP, -44.0% minADE, -45.9% minFDE, and -46.6% MR, showing clear performance gains across all key metrics. The results confirm its accuracy and robustness under emergency high-risk conditions, offering a practical path toward zero-tolerance safety in autonomous driving. Our code will be made publicly available at https://github.com/penglo/RDI-Pred-Risk-Dynamics-Intention-Collaborative-Vehicle-Trajectory-Prediction-in-Emergency-Scenarios .
{"title":"RDI-Pred: Risk-aware and dynamics-enhanced trajectory prediction with intention guidance in emergency scenarios","authors":"Penglong Li , Hongyan Guo , Yanran Liu , Qingyu Meng , Shuang Liang , Dongpu Cao , Hong Chen","doi":"10.1016/j.ymssp.2026.113975","DOIUrl":"10.1016/j.ymssp.2026.113975","url":null,"abstract":"<div><div>Trajectory prediction in emergencies scenarios is crucial for autonomous driving. Yet vehicle motion signals in these situations are highly nonlinear and nonstationary, with complex temporal and dynamic dependencies. Because mainstream datasets mainly cover regular driving and omit emergencies, existing models can still achieve satisfactory performance under normal conditions even without explicitly modeling exteroceptive cues, kinematic signals, or semantic intentions. However, during highly nonstationary and dynamic processes such as sudden cut-in or emergency braking, these weakly dependent architectures reveal significant shortcomings in generalization and robustness. To address these challenges, this paper proposes RDI-Pred, a multi-source temporal prediction framework that integrates Risk–Dynamics–Intention synergy from the perspectives of time-series signal processing and dynamic system modeling. First, we build a risk-aware exteroceptive encoder that uses prior-enhanced risk attention for risk scoring. Furthermore, a tri-agent interaction micrograph is constructed among the ego vehicle(Ego), target vehicle(TV), and closest in-path vehicle (CIPV) to model localized spatiotemporal dependencies, thereby enabling early-stage perception of exteroceptive risks. Next, we design a multi-scale Dynamics encoder that captures motion dynamics at short, mid, and long horizons. A 1D-CNN with a sliding window extracts short-term transients, BiGRU (Bidirectional Gated Recurrent Unit) states describe mid-term behavior, and a BiLSTM (Bidirectional Long Short-Term Memory) with self-attention models long-term dependencies, yielding a robust dynamic prior for trajectory decoding. Finally, we add cut-in intention recognition auxiliary task to constrain and re-score multi-modal trajectory candidates in decoding, promoting intention-aligned trajectories and suppressing mismatched ones. On the large-scale ESP high-risk dataset, RDI-Pred surpasses MTR with +32.9% mAP, -44.0% minADE, -45.9% minFDE, and -46.6% MR, showing clear performance gains across all key metrics. The results confirm its accuracy and robustness under emergency high-risk conditions, offering a practical path toward zero-tolerance safety in autonomous driving. Our code will be made publicly available at https://github.com/penglo/RDI-Pred-Risk-Dynamics-Intention-Collaborative-Vehicle-Trajectory-Prediction-in-Emergency-Scenarios .</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113975"},"PeriodicalIF":8.9,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 : 2026-02-05DOI: 10.1016/j.ymssp.2026.113980
Xinyu Wen , Ang Song , Shengquan Li , Jia Guo
To address modal coupling and multi-source uncertainty in the multimodal vibration control of piezoelectric smart thin plates, this paper proposes an active vibration control strategy based on an integrated observer. First, an error-decoupling observer is designed to separate different vibration modes based on their frequency characteristics, achieving modal decoupling. Then, an independent cascaded backward recursive observer is employed to estimate the time-delay vibration signals of the decoupled modes with high precision. To compensate for sensor-induced phase delays and reduce input uncertainties, the estimated vibration signals are processed through predictive reconstruction, which enhances control accuracy and dynamic performance. The stability of the closed-loop system is guaranteed via Lyapunov analysis. Experimental results demonstrate that, compared with linear active disturbance rejection control with an extended state observer (LADRC-ESO), the proposed method achieves an additional attenuation of approximately 10 dB in vibration amplitude and an overall improvement of about 8% in vibration suppression. These results confirm the effectiveness of the proposed method.
{"title":"Decoupled multimodal vibration control of smart thin plates based on integrated observer","authors":"Xinyu Wen , Ang Song , Shengquan Li , Jia Guo","doi":"10.1016/j.ymssp.2026.113980","DOIUrl":"10.1016/j.ymssp.2026.113980","url":null,"abstract":"<div><div>To address modal coupling and multi-source uncertainty in the multimodal vibration control of piezoelectric smart thin plates, this paper proposes an active vibration control strategy based on an integrated observer. First, an error-decoupling observer is designed to separate different vibration modes based on their frequency characteristics, achieving modal decoupling. Then, an independent cascaded backward recursive observer is employed to estimate the time-delay vibration signals of the decoupled modes with high precision. To compensate for sensor-induced phase delays and reduce input uncertainties, the estimated vibration signals are processed through predictive reconstruction, which enhances control accuracy and dynamic performance. The stability of the closed-loop system is guaranteed via Lyapunov analysis. Experimental results demonstrate that, compared with linear active disturbance rejection control with an extended state observer (LADRC-ESO), the proposed method achieves an additional attenuation of approximately 10 dB in vibration amplitude and an overall improvement of about 8% in vibration suppression. These results confirm the effectiveness of the proposed method.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113980"},"PeriodicalIF":8.9,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 : 2026-02-04DOI: 10.1016/j.ymssp.2026.113971
Xiaofei Chen , Wei Zhang , Yufei Zhang
During operation, cold rolling mills are susceptible to the coupled effects of random excitations and structural nonlinearities, which can induce complex dynamic behaviors that adversely affect rolling quality and equipment safety. This paper studies the structural dynamic characteristics and vibration suppression for a two-degree-of-freedom cold rolling mill vertical structure model under combined harmonic and random excitation for the first time. Firstly, an averaging method and a stochastic method are extended to derive the amplitude-frequency and steady-state response equations, respectively. Secondly, the response shows the mill exhibits nonlinear hard spring characteristics and bistability in the resonance region. The coexistence and evolution of low- and high-amplitude attractors are further elucidated via the equivalent potential energy diagram and basin of attraction. Additionally, random excitation is a key factor inducing chaotic behavior in the rolling mill. Finally, Gaussian colored noise induces stochastic switching, stochastic P- and D-bifurcations. This can lead to defects in the rolled products, and in severe cases, it may even threaten the safe operation of the rolling mill. To suppress this catastrophic switching, this paper innovatively introduces the improved double power exponential reaching law to design sliding mode control, achieving faster convergence, suppressing chattering and reducing energy consumption. The proposed control has been rigorously proven to be stable and has been effectively verified through numerical simulations. The research findings provide essential theoretical foundations and technical support for the safe design and manufacture of vertical structural models for cold rolling mills in engineering practice.
{"title":"Dynamic response and sliding mode control of a cold rolling mill subjected to harmonic and Gaussian colored noise excitations","authors":"Xiaofei Chen , Wei Zhang , Yufei Zhang","doi":"10.1016/j.ymssp.2026.113971","DOIUrl":"10.1016/j.ymssp.2026.113971","url":null,"abstract":"<div><div>During operation, cold rolling mills are susceptible to the coupled effects of random excitations and structural nonlinearities, which can induce complex dynamic behaviors that adversely affect rolling quality and equipment safety. This paper studies the structural dynamic characteristics and vibration suppression for a two-degree-of-freedom cold rolling mill vertical structure model under combined harmonic and random excitation for the first time. Firstly, an averaging method and a stochastic method are extended to derive the amplitude-frequency and steady-state response equations, respectively. Secondly, the response shows the mill exhibits nonlinear hard spring characteristics and bistability in the resonance region. The coexistence and evolution of low- and high-amplitude attractors are further elucidated via the equivalent potential energy diagram and basin of attraction. Additionally, random excitation is a key factor inducing chaotic behavior in the rolling mill. Finally, Gaussian colored noise induces stochastic switching, stochastic P- and D-bifurcations. This can lead to defects in the rolled products, and in severe cases, it may even threaten the safe operation of the rolling mill. To suppress this catastrophic switching, this paper innovatively introduces the improved double power exponential reaching law to design sliding mode control, achieving faster convergence, suppressing chattering and reducing energy consumption. The proposed control has been rigorously proven to be stable and has been effectively verified through numerical simulations. The research findings provide essential theoretical foundations and technical support for the safe design and manufacture of vertical structural models for cold rolling mills in engineering practice.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113971"},"PeriodicalIF":8.9,"publicationDate":"2026-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 : 2026-02-04DOI: 10.1016/j.ymssp.2026.113972
Haifei Wei, Ning Zhou, Xingshuai Zhi, Yao Cheng, Hongming Chen, Weihua Zhang
High-accuracy identification of contact force has long been a critical topic in the state monitoring of pantograph–catenary systems (PCS). This force contains key information for assessing current collection quality and diagnosing faults in both the pantograph and the catenary. With increasing train speeds and the emergence of more complex service conditions, traditional contact force measurements—typically limited to frequencies below 20 Hz—are no longer adequate. To address this limitation, this paper proposes a novel method for real-time contact force identification based on an inverse problem framework. First, a generalized elastically supported beam model is developed to describe the pantograph contact strip, allowing for accurate reconstruction of boundary conditions and load–response relationships. Second, a sliding window strategy is integrated with a sparse regularization technique, incorporating load dictionary matching and static force constraints, to enable online inversion of moving contact forces with high robustness and low latency. Based on the data of PCS simulation, the proposed method was validated to be effective and robust in identifying the contact force with complex characteristics. Furthermore, lab tests verified its effectiveness and feasibility for engineering applications. In addition, the discussion results indicate that the proposed approach exhibits low dependence on measurement point locations, strong capability in identifying impact loads, and good real-time performance. The approach offers a new and effective solution for wide frequency domain contact force identification in high-speed and variable operating environments.
{"title":"A Real-Time inverse method for moving contact force identification considering structural characteristics of Pantograph–Catenary system","authors":"Haifei Wei, Ning Zhou, Xingshuai Zhi, Yao Cheng, Hongming Chen, Weihua Zhang","doi":"10.1016/j.ymssp.2026.113972","DOIUrl":"10.1016/j.ymssp.2026.113972","url":null,"abstract":"<div><div>High-accuracy identification of contact force has long been a critical topic in the state monitoring of pantograph–catenary systems (PCS). This force contains key information for assessing current collection quality and diagnosing faults in both the pantograph and the catenary. With increasing train speeds and the emergence of more complex service conditions, traditional contact force measurements—typically limited to frequencies below 20 Hz—are no longer adequate. To address this limitation, this paper proposes a novel method for real-time contact force identification based on an inverse problem framework. First, a generalized elastically supported beam model is developed to describe the pantograph contact strip, allowing for accurate reconstruction of boundary conditions and load–response relationships. Second, a sliding window strategy is integrated with a sparse regularization technique, incorporating load dictionary matching and static force constraints, to enable online inversion of moving contact forces with high robustness and low latency. Based on the data of PCS simulation, the proposed method was validated to be effective and robust in identifying the contact force with complex characteristics. Furthermore, lab tests verified its effectiveness and feasibility for engineering applications. In addition, the discussion results indicate that the proposed approach exhibits low dependence on measurement point locations, strong capability in identifying impact loads, and good real-time performance. The approach offers a new and effective solution for wide frequency domain contact force identification in high-speed and variable operating environments.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113972"},"PeriodicalIF":8.9,"publicationDate":"2026-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 : 2026-02-04DOI: 10.1016/j.ymssp.2026.113941
Shunxin Xia , Yuequan Bao , Feiyuan Long
Computer vision technology is an important means of non-contact displacement measurement, but its displacement measurement sensitivity is often limited by the rounding error of the camera during image acquisition. This error causes the image to retain only integer-bit pixel intensity values, making it difficult to characterize tiny displacements below the theoretical sensitivity limit. To address this problem, we propose a super-sensitive full-field displacement measurement method based on Convolutional Variational Autoencoder (CVAE). This method constructs a CVAE network model, introduces the standard deviation matrix as prior information, and designs a weighted reconstruction loss function to achieve accurate reconstruction of the decimal pixel intensity in the raw image data. The reconstructed image is processed in combination with the optical flow method to achieve super-sensitive full-field displacement measurement. The effectiveness of this method in super-sensitive displacement measurement is verified by numerical simulation and laboratory experiments, and it shows good robustness under partial occlusion and illumination changes. This method initially provides a feasible solution for high-precision full-field displacement measurement in complex scenes.
{"title":"Super-sensitivity full-field displacement measurement method based on convolutional variational autoencoder","authors":"Shunxin Xia , Yuequan Bao , Feiyuan Long","doi":"10.1016/j.ymssp.2026.113941","DOIUrl":"10.1016/j.ymssp.2026.113941","url":null,"abstract":"<div><div>Computer vision technology is an important means of non-contact displacement measurement, but its displacement measurement sensitivity is often limited by the rounding error of the camera during image acquisition. This error causes the image to retain only integer-bit pixel intensity values, making it difficult to characterize tiny displacements below the theoretical sensitivity limit. To address this problem, we propose a super-sensitive full-field displacement measurement method based on Convolutional Variational Autoencoder (CVAE). This method constructs a CVAE network model, introduces the standard deviation matrix as prior information, and designs a weighted reconstruction loss function to achieve accurate reconstruction of the decimal pixel intensity in the raw image data. The reconstructed image is processed in combination with the optical flow method to achieve super-sensitive full-field displacement measurement. The effectiveness of this method in super-sensitive displacement measurement is verified by numerical simulation and laboratory experiments, and it shows good robustness under partial occlusion and illumination changes. This method initially provides a feasible solution for high-precision full-field displacement measurement in complex scenes.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113941"},"PeriodicalIF":8.9,"publicationDate":"2026-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 : 2026-02-04DOI: 10.1016/j.ymssp.2026.113948
M. van der Hulst , R.A. González , K. Classens , P. Tacx , N. Dirkx , J. van de Wijdeven , T. Oomen
Physically interpretable models are essential for next-generation industrial systems, as these representations enable effective control, support design validation, and provide a foundation for monitoring strategies. The aim of this paper is to develop a system identification framework for estimating modal models of complex multivariable mechanical systems from frequency response data. To achieve this, a two-step structured identification algorithm is presented, where an additive model is first estimated using a refined instrumental variable method and subsequently projected onto a modal form. The developed identification method provides accurate, physically-relevant, minimal-order models, for both generally-damped and proportionally damped modal systems. The effectiveness of the proposed method is demonstrated through experimental validation on a prototype wafer-stage system, which features a large number of spatially distributed actuators and sensors and exhibits complex flexible dynamics.
{"title":"Structured identification of multivariable modal systems","authors":"M. van der Hulst , R.A. González , K. Classens , P. Tacx , N. Dirkx , J. van de Wijdeven , T. Oomen","doi":"10.1016/j.ymssp.2026.113948","DOIUrl":"10.1016/j.ymssp.2026.113948","url":null,"abstract":"<div><div>Physically interpretable models are essential for next-generation industrial systems, as these representations enable effective control, support design validation, and provide a foundation for monitoring strategies. The aim of this paper is to develop a system identification framework for estimating modal models of complex multivariable mechanical systems from frequency response data. To achieve this, a two-step structured identification algorithm is presented, where an additive model is first estimated using a refined instrumental variable method and subsequently projected onto a modal form. The developed identification method provides accurate, physically-relevant, minimal-order models, for both generally-damped and proportionally damped modal systems. The effectiveness of the proposed method is demonstrated through experimental validation on a prototype wafer-stage system, which features a large number of spatially distributed actuators and sensors and exhibits complex flexible dynamics.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113948"},"PeriodicalIF":8.9,"publicationDate":"2026-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 : 2026-02-04DOI: 10.1016/j.ymssp.2026.113924
Yanfeng Liu , Haifeng Ou , Lingling Hu
Low-frequency vibration isolation capable of accommodating uncertain loads is in great demand in engineering applications. Active control is the dominant approach; however, it relies on complex computation, feedback, and compensation processes, leading to high resource consumption. Passive isolators are favored for their reliability, low cost, and structural simplicity. However, existing passive isolators generally perform well only under specific loads, whereas their isolation performance deteriorates significantly or even fails under other loads. This study proposes a novel passive isolator that enables low-frequency vibration suppression under arbitrary loads. It features cyclic quasi-zero-stiffness (QZS) characteristics, and the QZS plateaus can shift with the applied load to accommodate load variations. A theoretical model is developed to derive the conditions for achieving QZS, providing essential guidance for the design and adjustment of the isolator to continuously vary the QZS plateaus across the full bearing range, thus ensuring adaptive stiffness tuning under arbitrary loads. A prototype was fabricated and tested to validate its performance. Experiments confirm that, by simply adjusting the support height, the isolator can provide effective vibration isolation above 3.7 Hz under arbitrary loads across its entire load-bearing range (0–6500 g). The adjustment method is easy to implement and tolerant of low-precision operation. These results demonstrate that the proposed isolator offers a load-adaptive and robust solution for low-frequency vibration isolation, highlighting its strong potential for engineering applications.
{"title":"A novel isolator with movable cyclic quasi-zero-stiffness enabling low-frequency vibration suppression under arbitrary loads","authors":"Yanfeng Liu , Haifeng Ou , Lingling Hu","doi":"10.1016/j.ymssp.2026.113924","DOIUrl":"10.1016/j.ymssp.2026.113924","url":null,"abstract":"<div><div>Low-frequency vibration isolation capable of accommodating uncertain loads is in great demand in engineering applications. Active control is the dominant approach; however, it relies on complex computation, feedback, and compensation processes, leading to high resource consumption. Passive isolators are favored for their reliability, low cost, and structural simplicity. However, existing passive isolators generally perform well only under specific loads, whereas their isolation performance deteriorates significantly or even fails under other loads. This study proposes a novel passive isolator that enables low-frequency vibration suppression under arbitrary loads. It features cyclic quasi-zero-stiffness (QZS) characteristics, and the QZS plateaus can shift with the applied load to accommodate load variations. A theoretical model is developed to derive the conditions for achieving QZS, providing essential guidance for the design and adjustment of the isolator to continuously vary the QZS plateaus across the full bearing range, thus ensuring adaptive stiffness tuning under arbitrary loads. A prototype was fabricated and tested to validate its performance. Experiments confirm that, by simply adjusting the support height, the isolator can provide effective vibration isolation above 3.7 Hz under arbitrary loads across its entire load-bearing range (0–6500 g). The adjustment method is easy to implement and tolerant of low-precision operation. These results demonstrate that the proposed isolator offers a load-adaptive and robust solution for low-frequency vibration isolation, highlighting its strong potential for engineering applications.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113924"},"PeriodicalIF":8.9,"publicationDate":"2026-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This research article presents a Cosine Semi-Circular Beam (CSCB) inspired by the semi-circular arch with a cosine profile in lateral direction. The study investigates nonlinear stiffness of the CSCB to achieve low-frequency isolation. The isolator comprises two CSCBs coupled with four Semi-Circular Arch (SCA) elements to achieve the quasi-zero stiffness (QZS) property, which is crucial for vibration attenuation at low frequencies. The design of CSCB isolator is performed using finite element analysis and experimental procedures. Moreover, Symbolic Regression in julia programming language is employed to obtain the explicit equation for restoring force of the isolator. Static characteristics demonstrate the existence of QZS region in the force–displacement curve. Dynamic analysis is conducted by solving the equation of motion of the isolator using the Harmonic Balance Method (HBM) and the fourth order Runge–Kutta method (RK4). The dynamic response is scrutinised further for its chaotic behaviour using the displacement bifurcation diagram and the Lyapunov exponent across a range of excitation acceleration. Phase portraits at different frequencies illustrate the nonlinear response of the isolator changing from periodic to chaotic. The performance of the CSCB isolator at low frequencies is assessed through acceleration transmissibility, numerically, analytically and experimentally. Experimental findings from dynamic vibration test confirm the occurrence of sudden jump-down into the isolation region at 8Hz, while excitations above 9Hz can be effectively isolated.
{"title":"Design and analysis of a novel negative stiffness mechanism using cosine semi-circular beam for low frequency vibration isolation","authors":"Pyla Prasad , Srajan Dalela , Akhand Rai , P.S. Balaji","doi":"10.1016/j.ymssp.2026.113976","DOIUrl":"10.1016/j.ymssp.2026.113976","url":null,"abstract":"<div><div>This research article presents a Cosine Semi-Circular Beam (CSCB) inspired by the semi-circular arch with a cosine profile in lateral direction. The study investigates nonlinear stiffness of the CSCB to achieve low-frequency isolation. The isolator comprises two CSCBs coupled with four Semi-Circular Arch (SCA) elements to achieve the quasi-zero stiffness (QZS) property, which is crucial for vibration attenuation at low frequencies. The design of CSCB isolator is performed using finite element analysis and experimental procedures. Moreover, Symbolic Regression in julia programming language is employed to obtain the explicit equation for restoring force of the isolator. Static characteristics demonstrate the existence of QZS region in the force–displacement curve. Dynamic analysis is conducted by solving the equation of motion of the isolator using the Harmonic Balance Method (HBM) and the fourth order Runge–Kutta method (RK4). The dynamic response is scrutinised further for its chaotic behaviour using the displacement bifurcation diagram and the Lyapunov exponent across a range of excitation acceleration. Phase portraits at different frequencies illustrate the nonlinear response of the isolator changing from periodic to chaotic. The performance of the CSCB isolator at low frequencies is assessed through acceleration transmissibility, numerically, analytically and experimentally. Experimental findings from dynamic vibration test confirm the occurrence of sudden jump-down into the isolation region at 8Hz, while excitations above 9Hz can be effectively isolated.</div></div>","PeriodicalId":51124,"journal":{"name":"Mechanical Systems and Signal Processing","volume":"247 ","pages":"Article 113976"},"PeriodicalIF":8.9,"publicationDate":"2026-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}