Communications in Nonlinear Science and Numerical Simulation最新文献_第4页

Conservative mixed Discontinuous Galerkin finite element method with full decoupling strategy for incompressible MHD problems 不可压缩MHD问题的完全解耦保守混合不连续Galerkin有限元法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-15 DOI: 10.1016/j.cnsns.2025.108842

Huayi Huang , Yunqing Huang , Qili Tang , Lina Yin

{"title":"Conservative mixed Discontinuous Galerkin finite element method with full decoupling strategy for incompressible MHD problems","authors":"Huayi Huang , Yunqing Huang , Qili Tang , Lina Yin","doi":"10.1016/j.cnsns.2025.108842","DOIUrl":"10.1016/j.cnsns.2025.108842","url":null,"abstract":"<div><div>In this research, we propose a mixed Discontinuous Galerkin (DG) finite element method (FEM) for the numerical solution of incompressible magnetohydrodynamics (MHD) problems, ensuring the divergence-free condition for the velocity field. Our proposed methodology is characterized by its energy stability. Subsequently, we construct a novel finite element discretization scheme, for which we establish the theoretical framework of energy stability. Furthermore, we incorporate a preconditioning strategy that facilitates the development of an alternative positive definite, fully decoupled linearization approach. A significant advantage of this scheme is its ability to circumvent the complexities associated with solving saddle point problems at each time step. We demonstrate the uniqueness and convergence of the solutions within this fully decoupled, block-structured linear system. This theoretical validation is complemented by a series of numerical experiments that substantiate the effectiveness and accuracy of our proposed method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108842"},"PeriodicalIF":3.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847662","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}

引用次数: 0

Numerical analysis and comparison of fractional physics-informed neural networks in unsaturated flow process 非饱和流动过程中分数物理信息神经网络的数值分析与比较

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-14 DOI: 10.1016/j.cnsns.2025.108833

Xin Wang, Xiaoping Wang, Huanying Xu, Haitao Qi

{"title":"Numerical analysis and comparison of fractional physics-informed neural networks in unsaturated flow process","authors":"Xin Wang, Xiaoping Wang, Huanying Xu, Haitao Qi","doi":"10.1016/j.cnsns.2025.108833","DOIUrl":"10.1016/j.cnsns.2025.108833","url":null,"abstract":"<div><div>This paper investigates the application of deep learning techniques to unsaturated flow problems, integrating the fractional Richards model with a fractional physics-informed neural network. We introduce an innovative Hermite neural network solver that enhances the model’s performance and accuracy in addressing complex flow challenges through an attention mechanism. Systematic comparisons with conventional fractional neural network solvers demonstrate that our Hermite interpolation-based network significantly surpasses others in computational precision and efficiency. To further validate our proposed method, we conduct comprehensive numerical simulations of two-dimensional scenarios utilizing the attention-enhanced network. The results from these simulations illustrate the robustness of our approach and highlight its potential for accurately capturing flow characteristics and dynamic behaviors within the model. This study also offers new insights and methodologies for leveraging deep learning in unsaturated flow research, establishing a solid foundation for future investigations and practical engineering applications.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108833"},"PeriodicalIF":3.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847565","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}

引用次数: 0

Dynamic analysis of electrically prestressed highly aligned graphene-reinforced dielectric porous arches under large deformation 大变形下电预应力高排列石墨烯增强介电多孔拱的动力学分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-14 DOI: 10.1016/j.cnsns.2025.108876

Zhicheng Yang , Siu-Kai Lai , Zhaolin Chen , Jie Yang , Airong Liu , Jiyang Fu

{"title":"Dynamic analysis of electrically prestressed highly aligned graphene-reinforced dielectric porous arches under large deformation","authors":"Zhicheng Yang , Siu-Kai Lai , Zhaolin Chen , Jie Yang , Airong Liu , 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}

引用次数: 0

Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme pde型T-S模糊多智能体系统的事件触发控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-14 DOI: 10.1016/j.cnsns.2025.108830

Arumugam Parivallal , Sangwoon Yun , Yoon Mo Jung

引用次数: 0

A comparative study on the dielectric elastomer actuator driven Vibro-impact capsule robot 介电弹性体作动器驱动振动冲击胶囊机器人的对比研究

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-12 DOI: 10.1016/j.cnsns.2025.108866

Chuang Wu , Anjiang Cai , Xiaozheng Li , Xing Gao , Thomas L. Hill , Chongjing Cao

{"title":"A comparative study on the dielectric elastomer actuator driven Vibro-impact capsule robot","authors":"Chuang Wu , Anjiang Cai , Xiaozheng Li , Xing Gao , Thomas L. Hill , 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}

引用次数: 0

Error estimates for a class of energy dissipative IMEX Runge–Kutta schemes applied to the no-slope-selection thin film model 应用于无坡度选择薄膜模型的一类能量耗散IMEX龙格-库塔格式的误差估计

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-12 DOI: 10.1016/j.cnsns.2025.108797

Xueqing Teng , Xiaowei Chen , Hong Zhang

引用次数: 0

A skin-model-shape based method for predicting rotation accuracy of spindles considering form errors and rotating unbalance 考虑形状误差和旋转不平衡的基于蒙皮模型形状的主轴旋转精度预测方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-12 DOI: 10.1016/j.cnsns.2025.108865

Xiaokun Hu , Qiangqiang Zhao , Tian Xie , Dewen Yu , Kang Jia , Jun Hong

{"title":"A skin-model-shape based method for predicting rotation accuracy of spindles considering form errors and rotating unbalance","authors":"Xiaokun Hu , Qiangqiang Zhao , Tian Xie , Dewen Yu , Kang Jia , 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}

引用次数: 0

Exponential bipartite synchronization of distributed-order multilayer neural networks with antagonistic interactions via aperiodic intermittent control 基于非周期间歇控制的具有拮抗作用的分布式多层神经网络的指数二部同步

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-12 DOI: 10.1016/j.cnsns.2025.108820

Dongsheng Yang , Hu Wang , Guojian Ren , Yongguang Yu , Xiao-Li Zhang

引用次数: 0

Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications 具有基于边缘的事件触发通信的严格反馈非线性多智能体系统的领导跟随输出一致性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-11 DOI: 10.1016/j.cnsns.2025.108828

Wenjie Zhang, Debao Fan, Xianfu Zhang

引用次数: 0

Vibration control of NES for point-supported plate under arbitrary multi-frequency excitation 任意多频激励下点支承板的NES振动控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-11 DOI: 10.1016/j.cnsns.2025.108863

Xiao-Ye Mao , Jia-Bin Wu , Jun-Ning Zhang , Hu Ding , Li -Qun Chen

{"title":"Vibration control of NES for point-supported plate under arbitrary multi-frequency excitation","authors":"Xiao-Ye Mao , Jia-Bin Wu , Jun-Ning Zhang , Hu Ding , 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}

引用次数: 0