Pub Date : 2025-01-29DOI: 10.1016/j.cnsns.2025.108641
Aleksandr Katrutsa, Ivan Oseledets, Sergey Utyuzhnikov
This study presents the extension of the data-driven optimal prediction approach to the dynamical system with control. The optimal prediction is used to analyze dynamical systems in which the states consist of resolved and unresolved variables. The latter variables cannot be measured explicitly. They may have smaller amplitudes and affect the resolved variables that can be measured. The optimal prediction approach recovers the averaged trajectories of the resolved variables by computing conditional expectations, while the distribution of the unresolved variables is assumed to be known. We consider such dynamical systems and introduce their additional control functions. To predict the targeted trajectories numerically, we develop a data-driven method based on the dynamic mode decomposition. The proposed approach takes the measured trajectories of the resolved variables, constructs an approximate linear operator from the Mori–Zwanzig decomposition, and reconstructs the averaged trajectories of the same variables. It is demonstrated that the method is much faster than the Monte Carlo simulations and it provides a reliable prediction. We experimentally confirm the efficacy of the proposed method for two Hamiltonian dynamical systems.
{"title":"Data-driven optimal prediction with control","authors":"Aleksandr Katrutsa, Ivan Oseledets, Sergey Utyuzhnikov","doi":"10.1016/j.cnsns.2025.108641","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108641","url":null,"abstract":"This study presents the extension of the data-driven optimal prediction approach to the dynamical system with control. The optimal prediction is used to analyze dynamical systems in which the states consist of resolved and unresolved variables. The latter variables cannot be measured explicitly. They may have smaller amplitudes and affect the resolved variables that can be measured. The optimal prediction approach recovers the averaged trajectories of the resolved variables by computing conditional expectations, while the distribution of the unresolved variables is assumed to be known. We consider such dynamical systems and introduce their additional control functions. To predict the targeted trajectories numerically, we develop a data-driven method based on the dynamic mode decomposition. The proposed approach takes the <ce:italic>measured</ce:italic> trajectories of the resolved variables, constructs an approximate linear operator from the Mori–Zwanzig decomposition, and reconstructs the <ce:italic>averaged</ce:italic> trajectories of the same variables. It is demonstrated that the method is much faster than the Monte Carlo simulations and it provides a reliable prediction. We experimentally confirm the efficacy of the proposed method for two Hamiltonian dynamical systems.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"74 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-28DOI: 10.1016/j.cnsns.2025.108633
Wei-Jie Zhou, Kai-Ning Wu, Yong-Xin Wu
This paper deals with the robust mean square exponential stabilization for uncertain Markovian stochastic reaction–diffusion systems (UMSRDS) via the observer-based sliding mode boundary control (SMBC). First, a suitable boundary-output-based observer is constructed for estimating the unknown system states. Next, to process the impact of Markovian switching, a mode-dependent integral sliding mode surface (SMS) is established, on which the closed-loop system is mean square robust exponentially stable. Furthermore, an observer-based sliding mode boundary controller (SMBCr) is designed to guarantee the almost sure reachability of the predefined SMS. Then, a mode-dependent condition is provided to ensure the robust mean square exponential stability of the closed-loop system. Finally, the proposed method is applied to a CPU thermal model to illustrate the effectiveness of theoretical results.
{"title":"Observer-based sliding mode boundary control of uncertain Markovian stochastic reaction–diffusion systems","authors":"Wei-Jie Zhou, Kai-Ning Wu, Yong-Xin Wu","doi":"10.1016/j.cnsns.2025.108633","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108633","url":null,"abstract":"This paper deals with the robust mean square exponential stabilization for uncertain Markovian stochastic reaction–diffusion systems (UMSRDS) via the observer-based sliding mode boundary control (SMBC). First, a suitable boundary-output-based observer is constructed for estimating the unknown system states. Next, to process the impact of Markovian switching, a mode-dependent integral sliding mode surface (SMS) is established, on which the closed-loop system is mean square robust exponentially stable. Furthermore, an observer-based sliding mode boundary controller (SMBCr) is designed to guarantee the almost sure reachability of the predefined SMS. Then, a mode-dependent condition is provided to ensure the robust mean square exponential stability of the closed-loop system. Finally, the proposed method is applied to a CPU thermal model to illustrate the effectiveness of theoretical results.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"54 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-27DOI: 10.1016/j.cnsns.2025.108628
Qiyang Xiao, Yuhao Fang, Jiayuan Yan, Lei Shi, Ming-Feng Ge
Existing studies on multi-agent controllability are mainly developed based on the systems without state jumps, applicable solely to purely continuous or discrete cases. However, in some practical situations, state jumps, often termed impulsive effects, may occur during the evolution of agents. This paper deals with controllability for impulsive multi-agent systems (MASs) with switching characteristics. Initially, the impulsive MAS model is introduced by taking into account regular and instantaneous communications. Then, 1-periodic controllability and m-periodic controllability conditions are respectively constructed for impulsive MASs with switching topologies by leveraging algebraic and geometric methods. Subsequently, a criterion for controllability of impulsive MASs with switching leaders is further derived by adopting mathematical induction. Finally, the theoretical controllability conditions are validated through three numerical simulations. It is shown that multiple switching periods and switching leaders contribute to controllability of impulsive MASs.
{"title":"Controllability analysis for impulsive multi-agent systems with switching effects","authors":"Qiyang Xiao, Yuhao Fang, Jiayuan Yan, Lei Shi, Ming-Feng Ge","doi":"10.1016/j.cnsns.2025.108628","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108628","url":null,"abstract":"Existing studies on multi-agent controllability are mainly developed based on the systems without state jumps, applicable solely to purely continuous or discrete cases. However, in some practical situations, state jumps, often termed impulsive effects, may occur during the evolution of agents. This paper deals with controllability for impulsive multi-agent systems (MASs) with switching characteristics. Initially, the impulsive MAS model is introduced by taking into account regular and instantaneous communications. Then, 1-periodic controllability and m-periodic controllability conditions are respectively constructed for impulsive MASs with switching topologies by leveraging algebraic and geometric methods. Subsequently, a criterion for controllability of impulsive MASs with switching leaders is further derived by adopting mathematical induction. Finally, the theoretical controllability conditions are validated through three numerical simulations. It is shown that multiple switching periods and switching leaders contribute to controllability of impulsive MASs.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"39 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-27DOI: 10.1016/j.cnsns.2025.108630
Dimitrije Cicmilović
We propose a multivariate Ornstein–Uhlenbeck observation process governed by a Hidden Markov model, whereas the correlation between the observation processes is assumed. Optimal estimates of the model parameters are obtained by employing EM algorithm. The scope of application of the model are the gasoline prices in the US. We benchmark the dataset against the uncorrelated implementation of the Hidden Markov Model mentioned above and show that the modeling choice of correlated observations leads to better forecasts.
{"title":"Hidden Markov Model for correlated Ornstein–Uhlenbeck observations and application to gasoline prices forecasting","authors":"Dimitrije Cicmilović","doi":"10.1016/j.cnsns.2025.108630","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108630","url":null,"abstract":"We propose a multivariate Ornstein–Uhlenbeck observation process governed by a Hidden Markov model, whereas the correlation between the observation processes is assumed. Optimal estimates of the model parameters are obtained by employing EM algorithm. The scope of application of the model are the gasoline prices in the US. We benchmark the dataset against the uncorrelated implementation of the Hidden Markov Model mentioned above and show that the modeling choice of correlated observations leads to better forecasts.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"6 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-25DOI: 10.1016/j.cnsns.2025.108632
Fan Chen, Ming Cui, Chenguang Zhou
This paper proposes and analyzes a type of efficient multigrid method, which is called multilevel correction method, for solving semilinear parabolic interface problems. The core idea of this method is that, at each time step, the semilinear elliptic interface problem’s solution is transformed into the same-scale linear elliptic interface problem’s solution in each level of multilevel space sequence and the semilinear elliptic interface problem’s solution on a newly defined low dimensional augmented subspace. Through analyzing the algebraic error estimate of the method, we design the method to iterate only one step in the intermediate grid layer, which makes our method more efficient than the work of Xu et al. (2022a) without losing accuracy. In addition, in the aspect of theoretical analysis, we present a new technique of analysis to derive the convergence order estimates. Numerical experiments are conducted to validate the precision and effectiveness of our proposed method.
{"title":"A type of efficient multigrid method for semilinear parabolic interface problems","authors":"Fan Chen, Ming Cui, Chenguang Zhou","doi":"10.1016/j.cnsns.2025.108632","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108632","url":null,"abstract":"This paper proposes and analyzes a type of efficient multigrid method, which is called multilevel correction method, for solving semilinear parabolic interface problems. The core idea of this method is that, at each time step, the semilinear elliptic interface problem’s solution is transformed into the same-scale linear elliptic interface problem’s solution in each level of multilevel space sequence and the semilinear elliptic interface problem’s solution on a newly defined low dimensional augmented subspace. Through analyzing the algebraic error estimate of the method, we design the method to iterate only one step in the intermediate grid layer, which makes our method more efficient than the work of Xu et al. (2022a) without losing accuracy. In addition, in the aspect of theoretical analysis, we present a new technique of analysis to derive the convergence order estimates. Numerical experiments are conducted to validate the precision and effectiveness of our proposed method.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"37 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-24DOI: 10.1016/j.cnsns.2025.108637
Aniruddha Kumar Sharma, Sumanta Shagolshem, Rajan Arora
This research investigates a one-dimensional system of quasi-linear hyperbolic partial differential equations, obtained by vertically averaging the Euler equations between artificial interfaces. This system represents a shallow water model with two velocities and is explored using Lie symmetry analysis to derive several closed-form solutions. Through symmetry analysis, a Lie group of transformations and its corresponding generators are identified via parameter analysis. From these, an optimal one-dimensional system of subalgebras is constructed and classified based on symmetry generators and invariant functions. The model is further simplified by reducing it to ordinary differential equations (ODEs) using similarity variables for each subalgebra, yielding invariant solutions. Additionally, various conservation laws are formulated utilizing the nonlinear self-adjointness property of the governing system. The study concludes by analyzing the behavior of characteristic shocks, C1-waves, and their interactions, offering a detailed understanding of their dynamics.
{"title":"Analysis of wave propagation and conservation laws for a shallow water model with two velocities via Lie symmetry","authors":"Aniruddha Kumar Sharma, Sumanta Shagolshem, Rajan Arora","doi":"10.1016/j.cnsns.2025.108637","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108637","url":null,"abstract":"This research investigates a one-dimensional system of quasi-linear hyperbolic partial differential equations, obtained by vertically averaging the Euler equations between artificial interfaces. This system represents a shallow water model with two velocities and is explored using Lie symmetry analysis to derive several closed-form solutions. Through symmetry analysis, a Lie group of transformations and its corresponding generators are identified via parameter analysis. From these, an optimal one-dimensional system of subalgebras is constructed and classified based on symmetry generators and invariant functions. The model is further simplified by reducing it to ordinary differential equations (ODEs) using similarity variables for each subalgebra, yielding invariant solutions. Additionally, various conservation laws are formulated utilizing the nonlinear self-adjointness property of the governing system. The study concludes by analyzing the behavior of characteristic shocks, C<ce:sup loc=\"post\">1</ce:sup>-waves, and their interactions, offering a detailed understanding of their dynamics.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"10 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-24DOI: 10.1016/j.cnsns.2025.108634
Yuzhao Luo, Ming Zhu, Tian Chen, Zewei Zheng
Stratospheric airships are a research hotspot in the field of near space because of their durability, low cost, wide-area coverage, and relatively rapid response capabilities. Predicting the remaining useful life (RUL) of airships is the key to ensuring long-term stable residence and reducing maintenance and support costs. However, existing diagnostic and predictive techniques for airships primarily focus on individual components and consider information from a single scale, making it difficult to apply to the entire airship system. This paper proposes an end-to-end framework that utilizes both temporal and channel attention(CTA) mechanisms to extract multi-scale information from the airship data. We used the SE-ResNet module to extract high-dimensional abstract features from airship data and employed a Transformer to learn the degradation information across the temporal dimension. The effectiveness of the proposed method was verified using simulated datasets and compared with other deep-learning prediction methods through comparative analysis and ablation experiment results. The results demonstrate the superiority of the proposed approach over other predictive models in terms of effectively forecasting airship failure times.
{"title":"Remaining useful life prediction for stratospheric airships based on a channel and temporal attention network","authors":"Yuzhao Luo, Ming Zhu, Tian Chen, Zewei Zheng","doi":"10.1016/j.cnsns.2025.108634","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108634","url":null,"abstract":"Stratospheric airships are a research hotspot in the field of near space because of their durability, low cost, wide-area coverage, and relatively rapid response capabilities. Predicting the remaining useful life (RUL) of airships is the key to ensuring long-term stable residence and reducing maintenance and support costs. However, existing diagnostic and predictive techniques for airships primarily focus on individual components and consider information from a single scale, making it difficult to apply to the entire airship system. This paper proposes an end-to-end framework that utilizes both temporal and channel attention(CTA) mechanisms to extract multi-scale information from the airship data. We used the SE-ResNet module to extract high-dimensional abstract features from airship data and employed a Transformer to learn the degradation information across the temporal dimension. The effectiveness of the proposed method was verified using simulated datasets and compared with other deep-learning prediction methods through comparative analysis and ablation experiment results. The results demonstrate the superiority of the proposed approach over other predictive models in terms of effectively forecasting airship failure times.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"29 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-23DOI: 10.1016/j.cnsns.2025.108631
Sania Qureshi, Amanullah Soomro, Ioannis K. Argyros, Krzysztof Gdawiec, Ali Akgül, Marwan Alquran
There are many different fields of study where nonlinear polynomial-based models arise and need to be solved, making the study of root-finding iterative solvers an important topic of research. Our goal was to use the two most significant fractional differential operators, Caputo and Riemann–Liouville, and an existing time-efficient three-step Newton-like iterative solver to address the growing interest in fractional calculus. The classical solver is preserved alongside a damping term created within it that tends to 1 as the fractional order α approaches 1. The solvers’ local and semi-local convergence are investigated, and the stability trade-off with convergence speed is discussed at length. The suggested fractional-order solvers are tested on a number of nonlinear one-dimensional polynomial-based problems that come up in image processing, mechanical design, and civil engineering, such as beam deflection; and many more.
{"title":"Use of fractional calculus to avoid divergence in Newton-like solver for solving one-dimensional nonlinear polynomial-based models","authors":"Sania Qureshi, Amanullah Soomro, Ioannis K. Argyros, Krzysztof Gdawiec, Ali Akgül, Marwan Alquran","doi":"10.1016/j.cnsns.2025.108631","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108631","url":null,"abstract":"There are many different fields of study where nonlinear polynomial-based models arise and need to be solved, making the study of root-finding iterative solvers an important topic of research. Our goal was to use the two most significant fractional differential operators, Caputo and Riemann–Liouville, and an existing time-efficient three-step Newton-like iterative solver to address the growing interest in fractional calculus. The classical solver is preserved alongside a damping term created within it that tends to 1 as the fractional order <mml:math altimg=\"si464.svg\" display=\"inline\"><mml:mi>α</mml:mi></mml:math> approaches 1. The solvers’ local and semi-local convergence are investigated, and the stability trade-off with convergence speed is discussed at length. The suggested fractional-order solvers are tested on a number of nonlinear one-dimensional polynomial-based problems that come up in image processing, mechanical design, and civil engineering, such as beam deflection; and many more.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"26 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-22DOI: 10.1016/j.cnsns.2025.108625
Haiyan Xu, Carlos Alberto Santos, Mengyun Zhang, Zhigui Lin
In order to understand how nonlocal diffusion and pulse intervention affect dynamics of species, we focus on an age-structured nonlocal diffusion model in moving and heterogeneous environment, where nonlocal diffusion describes the long range dispersal of species itself and time-periodic harvesting pulse exacting on the adult reflects human intervention. A generalized principal eigenvalue involving harvesting rate used to identify the spreading and vanishing outcomes is firstly defined and the existence of the principal eigenvalue is given under some conditions. Subsequently, properties of the generalized principal eigenvalue and the principal eigenvalue related to harvesting rate and length of habitat interval are analyzed, respectively. The criteria to governing spreading or vanishing of the species are finally investigated, with sufficient conditions for spreading-vanishing established. Our results indicate that complexities can be induced by the internal long rang dispersal and expanding capacities of species, as well as external harvesting intervention of human. Specifically, appropriate harvesting rate and expanding capacities can even change the reciprocal outcomes of species from co-existence to co-extinction.
{"title":"On an age-structured model in moving boundaries: The effects of nonlocal diffusion and harvesting pulse","authors":"Haiyan Xu, Carlos Alberto Santos, Mengyun Zhang, Zhigui Lin","doi":"10.1016/j.cnsns.2025.108625","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108625","url":null,"abstract":"In order to understand how nonlocal diffusion and pulse intervention affect dynamics of species, we focus on an age-structured nonlocal diffusion model in moving and heterogeneous environment, where nonlocal diffusion describes the long range dispersal of species itself and time-periodic harvesting pulse exacting on the adult reflects human intervention. A generalized principal eigenvalue involving harvesting rate used to identify the spreading and vanishing outcomes is firstly defined and the existence of the principal eigenvalue is given under some conditions. Subsequently, properties of the generalized principal eigenvalue and the principal eigenvalue related to harvesting rate and length of habitat interval are analyzed, respectively. The criteria to governing spreading or vanishing of the species are finally investigated, with sufficient conditions for spreading-vanishing established. Our results indicate that complexities can be induced by the internal long rang dispersal and expanding capacities of species, as well as external harvesting intervention of human. Specifically, appropriate harvesting rate and expanding capacities can even change the reciprocal outcomes of species from co-existence to co-extinction.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"60 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-22DOI: 10.1016/j.cnsns.2025.108626
Jinxin Dou, Zhenping Li, Muchuan Ding, Hongliang Yao, Tianzhi Yang
The electromagnetic excitation of the motor affects the vibration characteristics of the transmission system it drives. This study employs a curved beam-based nonlinear energy sink (CNES) as a suppression measure to reduce torsional vibrations in a multi-degree-of-freedom transmission system subjected to both electromagnetic and external excitations. An approximate expression for the electromagnetic excitation is established, and its influence on the inherent characteristics of the transmission system is analyzed. Next, the structure and principles of the CNES are introduced, followed by the development of a dynamic model for the transmission system that incorporates the proposed CNES. Building on these foundations, the energy transfer of the CNES under transient excitations is analyzed using an analytical method. Further numerical analysis is conducted to examine the displacement attenuation and energy dissipation of the transmission system with CNES installed. Furthermore, this study explores the influence of the electromagnetic excitation on the response characteristics of the system and numerically analyzes the vibration suppression performance of the CNES on steady-state responses. Finally, an experimental platform for the transmission system is established, and the suppression performance of the CNES is validated through experiments. The results indicate consistency between the experiments and simulations regarding the performance of the CNES. This study offers valuable insights into the suppression of multi-modal vibrations in transmission systems subjected to multi-source excitations.
{"title":"Modelling and vibration suppression of a transmission system with a curved beam-based nonlinear energy sink","authors":"Jinxin Dou, Zhenping Li, Muchuan Ding, Hongliang Yao, Tianzhi Yang","doi":"10.1016/j.cnsns.2025.108626","DOIUrl":"https://doi.org/10.1016/j.cnsns.2025.108626","url":null,"abstract":"The electromagnetic excitation of the motor affects the vibration characteristics of the transmission system it drives. This study employs a curved beam-based nonlinear energy sink (CNES) as a suppression measure to reduce torsional vibrations in a multi-degree-of-freedom transmission system subjected to both electromagnetic and external excitations. An approximate expression for the electromagnetic excitation is established, and its influence on the inherent characteristics of the transmission system is analyzed. Next, the structure and principles of the CNES are introduced, followed by the development of a dynamic model for the transmission system that incorporates the proposed CNES. Building on these foundations, the energy transfer of the CNES under transient excitations is analyzed using an analytical method. Further numerical analysis is conducted to examine the displacement attenuation and energy dissipation of the transmission system with CNES installed. Furthermore, this study explores the influence of the electromagnetic excitation on the response characteristics of the system and numerically analyzes the vibration suppression performance of the CNES on steady-state responses. Finally, an experimental platform for the transmission system is established, and the suppression performance of the CNES is validated through experiments. The results indicate consistency between the experiments and simulations regarding the performance of the CNES. This study offers valuable insights into the suppression of multi-modal vibrations in transmission systems subjected to multi-source excitations.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"57 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143021212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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