Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"Dynamic analysis of electrically prestressed highly aligned graphene-reinforced dielectric porous arches under large deformation","authors":"Zhicheng Yang ,&nbsp;Siu-Kai Lai ,&nbsp;Zhaolin Chen ,&nbsp;Jie Yang ,&nbsp;Airong Liu ,&nbsp;Jiyang Fu","doi":"10.1016/j.cnsns.2025.108876","DOIUrl":"10.1016/j.cnsns.2025.108876","url":null,"abstract":"<div><div>Dielectric materials offer extensive applications in mechanical and aerospace engineering due to their lightweight, flexibility, and design adaptability. When exposed to an electric field, dielectric arch structures are susceptible to large deformations, as the induced stress and deformation can lead to nonlinear dynamic behavior. This research investigates the linear and nonlinear free vibrations of electrically prestressed highly aligned graphene-reinforced dielectric porous (HA-GPLRDP) arches, taking into account electrically induced stress and large deformation. The use of highly aligned graphene platelets (GPLs) aims to enhance the dielectric performance of composites. The effective material properties of HA-GPLRDP composites, including Young's modulus and dielectric permittivity, are obtained by a two-scale effective medium theory (EMT). Using the full and incremental forms of nonlinear strains, the governing equations are derived to calculate the natural frequencies of electrically prestressed HA-GPLRDP arches under large deformation, as well as their nonlinear vibration responses. This study also involves comprehensive numerical investigations to examine the influence of the electric field, maximum distribution angle, porosity, and GPLs weight fraction. This work reveals that the symmetric and antisymmetric mode frequencies of the arch respond differently to increasing electrical voltage. In addition, it has been noted that HA-GPLRDP arches with higher porosity exhibit more pronounced nonlinear vibration at lower electrical voltage and higher AC frequency.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108876"},"PeriodicalIF":3.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847564","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}

{"title":"Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme","authors":"Arumugam Parivallal ,&nbsp;Sangwoon Yun ,&nbsp;Yoon Mo Jung","doi":"10.1016/j.cnsns.2025.108830","DOIUrl":"10.1016/j.cnsns.2025.108830","url":null,"abstract":"<div><div>This work focuses on analyzing the containment control problem for PDE-type fuzzy multi-agent systems (MASs). The primary goal of this paper is to design an event-triggered controller aimed to diminish the network burden while achieving the containment control of the analyzed PDE-type fuzzy MASs. Initially, the containment error system is formulated for the considered MASs by using dynamics of the leaders and followers. By using a suitable Lyapunov–Krasovskii functional, the sufficient conditions for the stabilization of the designed containment error system are derived. In particular, these sufficient conditions are derived as linear matrix inequalities. At last, simulation examples are offered to verify the obtained theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108830"},"PeriodicalIF":3.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143837890","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}

{"title":"Inelastic closed-form multilayer frame element with multiple axial-flexure-shear coupled discontinuities","authors":"Ángel Uriel Martínez-Miranda ,&nbsp;Gelacio Juárez-Luna","doi":"10.1016/j.cnsns.2025.108870","DOIUrl":"10.1016/j.cnsns.2025.108870","url":null,"abstract":"<div><div>The nonlinear interaction of axial force, bending moment and shear force plays an important role in the inelastic assessment of structures. Sophisticated frame finite element formulations have been developed to address this phenomenon. However, reliable inelastic responses are obtained by considering complex theories and approximation methods, which has led to a strong reliance on numerical techniques. Lately, closed-form methodologies have emerged to largely avoid this issue. Though, when this nonlinear difficult coupling is contemplated, some numerical dependencies persist. Therefore, an enhanced closed-form multilayer in-plane frame element is formulated in this work, in which the inelastic axial-flexure-shear interaction is modeled with multiple embedded axial, rotation, and transverse coupled discontinuities at arbitrary positions along the element length. For deeper understanding and for the sake of simplicity, small strains, uniform external loads and quasi-static problems are considered. The variational model is solved by pure mathematics, which naturally leads to an original boundary value problem. Consequently, flexibility and stiffness matrices are derived in closed form, which are symmetric, naturally condensed, positive definite in most cases and all their entries are non-zero values considering inelastic coupling using an innovative and simplified multilayer integration method for arbitrary cross-sections. This novel element drastically reduces drawbacks associated with traditional numerical simulations, thereby reducing computational cost and, when sufficient embedded discontinuities and layers are considered, providing high accuracy results with a single element<em>, i.e.</em>, a mesh reduction method. In addition, the developed element is free from shear-locking, tension shift effects are naturally included, and no mathematical algorithms are necessary to guarantee internal equilibrium. Application examples validate the accuracy and numerical robustness of the formulated element.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108870"},"PeriodicalIF":3.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143895540","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}

{"title":"A comparative study on the dielectric elastomer actuator driven Vibro-impact capsule robot","authors":"Chuang Wu ,&nbsp;Anjiang Cai ,&nbsp;Xiaozheng Li ,&nbsp;Xing Gao ,&nbsp;Thomas L. Hill ,&nbsp;Chongjing Cao","doi":"10.1016/j.cnsns.2025.108866","DOIUrl":"10.1016/j.cnsns.2025.108866","url":null,"abstract":"<div><div>Vibro-impact capsule robots driven by dielectric elastomer actuators (DEAs) feature simple structures and high locomotion efficiencies. Stacking multiple layers of membranes on one DEA frame is a widely adopted approach to multiply the power and work output of the DEA, however, the effectiveness of utilizing a multi-layer DEA to boost the locomotion performance of DEA-driven vibro-impact capsule robots remains unclear. To this end, this paper first conducts a comprehensive numerical study on the locomotion performance of the multi-layer-DEA-driven vibro-impact capsule robots. Simulation results show the counterintuitive finding that the locomotion velocity of the robot reduces with the increasing number of layers in the DEA, and the possible factors leading to such reductions in velocity are analyzed. Next, this paper introduces a new driving scheme whereby multiple layers in The DEA are separated. Simulation results indicate that maximum velocity can be achieved by having the actuation voltages for one DEA lead the others by a relative phase between 50° to 75° as the dominant vibro-impact driving source. Improvements in the maximum velocity of the vibro-impact capsule robot by up to 70 % are achieved by using three DEAs. The key findings of the numerical studies are validated through experiments, and the consistency between the experimental and simulation results demonstrates the validity of the model.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108866"},"PeriodicalIF":3.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843695","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}

{"title":"Error estimates for a class of energy dissipative IMEX Runge–Kutta schemes applied to the no-slope-selection thin film model","authors":"Xueqing Teng ,&nbsp;Xiaowei Chen ,&nbsp;Hong Zhang","doi":"10.1016/j.cnsns.2025.108797","DOIUrl":"10.1016/j.cnsns.2025.108797","url":null,"abstract":"<div><div>In this work, we rigorously establish the convergence analysis and error estimates for a class of up to third-order implicit-explicit Runge–Kutta (IMEX RK) schemes for the no-slope-selection (NSS) thin film growth model, which follows from detailed eigenvalue bound estimates for constructed operators and nonlinear analysis of the NSS equation. To our knowledge, this convergence analysis is the first such result of applying a third-order accurate IMEX RK scheme to the epitaxial growth model. Additionally, by introducing a linear stabilization term to the system and employing the Fourier pseudo-spectral method for spatial discretization, we reestablish the energy stability of the first- to third-order IMEX RK schemes in a concise way. Numerical experiments are performed to verify the accuracy of the scheme, and to illustrate some theoretical results such as mass conservation, energy decay rate, and growth rates of surface roughness and mound width.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108797"},"PeriodicalIF":3.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826310","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}

{"title":"A skin-model-shape based method for predicting rotation accuracy of spindles considering form errors and rotating unbalance","authors":"Xiaokun Hu ,&nbsp;Qiangqiang Zhao ,&nbsp;Tian Xie ,&nbsp;Dewen Yu ,&nbsp;Kang Jia ,&nbsp;Jun Hong","doi":"10.1016/j.cnsns.2025.108865","DOIUrl":"10.1016/j.cnsns.2025.108865","url":null,"abstract":"<div><div>The rotation accuracy of the spindle is crucial to the machining accuracy of the machine tool. This paper proposes a method for analyzing the rotation accuracy of the spindle while taking into account the form error. Unlike previous studies based on the ideal part, the skin model shape method is employed to obtain the assembly deviation of bearings arising from the manufacturing defect including form errors. Then the quasi-static model of ball bearings is established to determine the contact load distribution within the misaligned bearings during non-ideal rotation. On this basis, the prediction model of the spindle is developed to evaluate the rotation error of the spindle, in which the influence of the rotating unbalance is integrated through equivalenting it to a radial load applied to the rotor. Finally, the practical experiment is conducted to verify the correctness of the proposed method, and the influence of different factors on the rotation accuracy is also comprehensively investigated.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108865"},"PeriodicalIF":3.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838486","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}

{"title":"Exponential bipartite synchronization of distributed-order multilayer neural networks with antagonistic interactions via aperiodic intermittent control","authors":"Dongsheng Yang ,&nbsp;Hu Wang ,&nbsp;Guojian Ren ,&nbsp;Yongguang Yu ,&nbsp;Xiao-Li Zhang","doi":"10.1016/j.cnsns.2025.108820","DOIUrl":"10.1016/j.cnsns.2025.108820","url":null,"abstract":"<div><div>This study examines the exponential bipartite synchronization issue of distributed-order multilayer neural networks with antagonistic interactions by aperiodic intermittent control. First of all, the dynamical model of multilayer neural networks with structurally balanced nodes is established by integrating the distributed-order dynamics of nodes and signed graph theory. Secondly, an aperiodic intermittent controller is designed, which is applied for the first time to realize the synchronization objective of distributed-order coupled system. Furthermore, utilizing Lyapunov methods and aperiodic intermittent controller, sufficient criteria are derived to ensure exponential bipartite synchronization for distributed-order multilayer neural networks with antagonistic interactions. Finally, two simulations are presented to verify the theoretical result.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108820"},"PeriodicalIF":3.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826411","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}

{"title":"Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications","authors":"Wenjie Zhang,&nbsp;Debao Fan,&nbsp;Xianfu Zhang","doi":"10.1016/j.cnsns.2025.108828","DOIUrl":"10.1016/j.cnsns.2025.108828","url":null,"abstract":"<div><div>This article investigates the leader-following output consensus problem for a class of strict-feedback nonlinear multiagent systems. Notably, edge-based event-triggered control is applied to the systems under investigation, which has not been considered in existing works. By introducing a time-varying gain, this article is committed to developing output feedback control strategies to achieve leader-following consensus while avoiding continuous communications among all agents and continuous updates of controllers. To this end, the event-triggered mechanisms are designed for all agents and all edges, respectively. Particularly, the edge-based event-triggered mechanisms, which possess positive minimum inter-event times, allow each follower to transmit information to its out-neighbors in an asynchronous way. It is shown that under the proposed control scheme, both the leader-following traditional and scaled group output consensus are achieved. A simulation example is provided to verify the theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108828"},"PeriodicalIF":3.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826311","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}

{"title":"Vibration control of NES for point-supported plate under arbitrary multi-frequency excitation","authors":"Xiao-Ye Mao ,&nbsp;Jia-Bin Wu ,&nbsp;Jun-Ning Zhang ,&nbsp;Hu Ding ,&nbsp;Li -Qun Chen","doi":"10.1016/j.cnsns.2025.108863","DOIUrl":"10.1016/j.cnsns.2025.108863","url":null,"abstract":"<div><div>Most studies on vibration control of a nonlinear energy sink (NES) for thin plates focus on single-frequency or integral-multiple multi-frequency excitation. However, it is important to note that in practical scenarios, most plates are often subjected to arbitrary multi-frequency excitation. In this paper, a mathematical model is established for a rectangular plate with four-point support and a NES. To ensure the completeness of the solution for nonlinear vibration response under arbitrary multi-frequency excitation, a multi-frequency harmonic balance (MFHBM) method is proposed. The proposed method involves discretizing the excitation frequency equivalently and deriving an approximate solution in the form of harmonic superposition using trigonometric functions. The proposed method's validity and high computational precision have been validated through a comparison with numerical results. In addition, to demonstrate the excellent vibration damping effect of NES in multi-frequency vibration environments, parameter analysis is conducted using dual-frequency and tri-frequency excitation as illustrative examples. It revealsthat under specific NES parameters and different frequency parameters, the vibration damping effect at the center of the rectangular plate can exceed 37 % when resonance occurs. Furthermore, a comprehensive discussion on the parameter influence of NES showcases its remarkable versatility in multi-frequency vibration environments. This study will serve a valuable reference for effectively mitigating arbitrary multi-frequency vibration in plates.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108863"},"PeriodicalIF":3.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143855269","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}

{"title":"Turing-bifurcation in a cross-diffusive predator–prey system with generalist predator and nonlocal terms","authors":"Jialu Tian,&nbsp;Ping Liu","doi":"10.1016/j.cnsns.2025.108821","DOIUrl":"10.1016/j.cnsns.2025.108821","url":null,"abstract":"<div><div>This study investigates the instability and spatiotemporal dynamics of a diffusive predator–prey system incorporating cross-diffusion and nonlocal intraspecific competition. We aim to understand the influence of passive diffusion and cross-diffusion on the stability of positive equilibrium solutions. Furthermore, we examine the occurrence of Hopf and steady-state bifurcations in the nonlocal system near the positive equilibrium. For the Hopf bifurcation, we analyze the emergence of both spatially homogeneous and nonhomogeneous time-periodic solutions. Using cross-diffusion as a bifurcation parameter, we focus on the one-dimensional stationary problem to determine the existence, direction, and stability of non-constant positive steady states. Finally, numerical simulations are conducted to validate and illustrate the theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108821"},"PeriodicalIF":3.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843690","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}